55:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000 Pensamiento numérico:@0.721207:0.043661:0.926911:0.043661:0.926911:0.024916:0.721207:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Recordemos que una ecuación es una igualdad entre dos expresiones algebraicas, en la :@0.073089:0.236884:0.710845:0.236884:0.710845:0.220450:0.073089:0.220450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que figuran uno o varios valores desconocidos, llamados incógnitas, además de ciertos :@0.073089:0.253526:0.710236:0.253526:0.710236:0.237092:0.073089:0.237092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 datos conocidos.:@0.073089:0.270168:0.196000:0.270168:0.196000:0.253734:0.073089:0.253734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En este tema estudiaremos las ecuaciones lineales o de primer grado.:@0.073089:0.293952:0.575031:0.293952:0.575031:0.277518:0.073089:0.277518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si es la longitud de una cuerda de guitarra medida desde la cejilla superior hasta el :@0.073089:0.317735:0.710685:0.317735:0.710685:0.301302:0.073089:0.301302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.090465:0.317735:0.097920:0.317735:0.097920:0.301329:0.090465:0.301329:0.000000 puente, y una octava se encuentra a 32 cm desde la cejilla superior, ¿cuál es la longitud :@0.073089:0.334377:0.710878:0.334377:0.710878:0.317944:0.073089:0.317944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de la cuerda?:@0.073089:0.351019:0.168983:0.351019:0.168983:0.334585:0.073089:0.334585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Lo primero que hacemos es plantear una ecuación, tomando en cuenta el concepto :@0.073089:0.374803:0.710591:0.374803:0.710591:0.358369:0.073089:0.358369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 musical de :@0.073089:0.391445:0.155388:0.391445:0.155388:0.375011:0.073089:0.375011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 octava:@0.155240:0.391445:0.203107:0.391445:0.203107:0.375039:0.155240:0.375039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.203062:0.391445:0.206265:0.391445:0.206265:0.375011:0.203062:0.375011:0.000000 x:@0.351976:0.413571:0.359431:0.413571:0.359431:0.397165:0.351976:0.397165:0.000000 2:@0.351203:0.427550:0.360186:0.427550:0.360186:0.411116:0.351203:0.411116:0.000000 32 cm:@0.366923:0.418785:0.435066:0.418785:0.435066:0.402352:0.366923:0.402352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.370880:0.418231:0.386213:0.418231:0.386213:0.404515:0.370880:0.404515:0.000000 La longitud de la cuerda dividida entre 2 corresponde a los 32 cm.:@0.073088:0.442569:0.550296:0.442569:0.550296:0.426136:0.073088:0.426136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para resolver la ecuación, aplicamos las reglas de resolución de ecuaciones.:@0.073088:0.466353:0.615231:0.466353:0.615231:0.449920:0.073088:0.449920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Una ecuación tiene dos miembros, el primero antes del signo igual y el segundo después :@0.080653:0.492644:0.702891:0.492644:0.702891:0.476210:0.080653:0.476210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de este. Para resolverla, usamos el principio de trasposición de términos.:@0.080653:0.509286:0.588017:0.509286:0.588017:0.492852:0.080653:0.492852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • :@0.080653:0.525927:0.088972:0.525927:0.088972:0.509494:0.080653:0.509494:0.000000:0.000000 Un término que está sumando en el primer miembro de una ecuación pasa al :@0.111038:0.525927:0.702863:0.525927:0.702863:0.509494:0.111038:0.509494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 segundo a restar.:@0.110781:0.542569:0.231186:0.542569:0.231186:0.526135:0.110781:0.526135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • :@0.080653:0.559211:0.088972:0.559211:0.088972:0.542777:0.080653:0.542777:0.000000:0.000000 Un término que está restando en el primer miembro de una ecuación pasa al :@0.111038:0.559211:0.702894:0.559211:0.702894:0.542777:0.111038:0.542777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 segundo a sumar.:@0.110781:0.575853:0.236458:0.575853:0.236458:0.559419:0.110781:0.559419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • :@0.080653:0.592495:0.088972:0.592495:0.088972:0.576061:0.080653:0.576061:0.000000:0.000000 Un término que está multiplicando en el primer miembro de una ecuación pasa al :@0.111038:0.592495:0.702554:0.592495:0.702554:0.576061:0.111038:0.576061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 segundo a dividir.:@0.110781:0.609137:0.235760:0.609137:0.235760:0.592703:0.110781:0.592703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • :@0.080653:0.625778:0.088972:0.625778:0.088972:0.609345:0.080653:0.609345:0.000000:0.000000 Un término que está dividiendo en el primer miembro de una ecuación pasa al :@0.111038:0.625778:0.702725:0.625778:0.702725:0.609345:0.111038:0.609345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 segundo a multiplicar.:@0.110781:0.642420:0.267605:0.642420:0.267605:0.625986:0.110781:0.625986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En nuestra ecuación, que tiene la forma :@0.073101:0.675149:0.358932:0.675149:0.358932:0.658715:0.073101:0.658715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.366081:0.669940:0.373536:0.669940:0.373536:0.653534:0.366081:0.653534:0.000000 a:@0.365179:0.683919:0.374438:0.683919:0.374438:0.667513:0.365179:0.667513:0.000000 , pasamos el término que está dividiendo :@0.380991:0.675154:0.710245:0.675154:0.710245:0.658720:0.380991:0.658720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.384488:0.674599:0.399821:0.674599:0.399821:0.660884:0.384488:0.660884:0.000000 b:@0.403172:0.675154:0.412430:0.675154:0.412430:0.658748:0.403172:0.658748:0.000000 a multiplicar, así::@0.073074:0.691796:0.191002:0.691796:0.191002:0.675362:0.073074:0.675362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.073089:0.719123:0.077120:0.719123:0.077120:0.702689:0.073089:0.702689:0.000000 x:@0.140913:0.713906:0.148368:0.713906:0.148368:0.697500:0.140913:0.697500:0.000000 2:@0.140140:0.727885:0.149123:0.727885:0.149123:0.711451:0.140140:0.711451:0.000000 32 :@0.155860:0.719120:0.200869:0.719123:0.200869:0.702689:0.155860:0.702686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.159818:0.718565:0.175151:0.718565:0.175151:0.704850:0.159818:0.704850:0.000000 :@0.253838:0.719123:0.257869:0.719123:0.257869:0.702689:0.253838:0.702689:0.000000 x:@0.314057:0.719123:0.321512:0.719123:0.321512:0.702717:0.314057:0.702717:0.000000 2 32 :@0.321438:0.719123:0.398489:0.719123:0.398489:0.702689:0.321438:0.702689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 3:@0.325396:0.718568:0.372776:0.718568:0.372776:0.704852:0.325396:0.704852:0.000000:0.000000:0.000000 :@0.434564:0.719123:0.438595:0.719123:0.438595:0.702689:0.434564:0.702689:0.000000 x 64:@0.494776:0.719123:0.543639:0.719123:0.543639:0.702689:0.494776:0.702689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.506548:0.718568:0.521882:0.718568:0.521882:0.704852:0.506548:0.704852:0.000000 Por lo tanto, la longitud de la cuerda es de 64 cm.:@0.073094:0.742907:0.429459:0.742907:0.429459:0.726473:0.073094:0.726473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 1:@0.073094:0.766691:0.148877:0.766691:0.148877:0.750021:0.073094:0.750021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Resuelve las ecuaciones:@0.073094:0.790475:0.246329:0.790475:0.246329:0.774041:0.073094:0.774041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. 8 9 :@0.133336:0.814280:0.257861:0.814280:0.257861:0.797846:0.133336:0.797846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.148680:0.814280:0.156135:0.814280:0.156135:0.797874:0.148680:0.797874:0.000000 1 5 2:@0.160018:0.813725:0.226597:0.813725:0.226597:0.800010:0.160018:0.800010:0.000000:0.000000:0.000000:0.000000:0.000000 b. 4 20 :@0.314060:0.814280:0.411359:0.814280:0.411359:0.797846:0.314060:0.797846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.339780:0.814280:0.347235:0.814280:0.347235:0.797874:0.339780:0.797874:0.000000 5 2:@0.351119:0.813725:0.385651:0.813725:0.385651:0.800010:0.351119:0.800010:0.000000:0.000000:0.000000 :@0.434562:0.814280:0.438593:0.814280:0.438593:0.797846:0.434562:0.797846:0.000000 c. 3 6 21:@0.494781:0.814280:0.599160:0.814280:0.599160:0.797846:0.494781:0.797846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.518684:0.814280:0.526139:0.814280:0.526139:0.797874:0.518684:0.797874:0.000000 2 5:@0.530023:0.813725:0.577403:0.813725:0.577403:0.800010:0.530023:0.800010:0.000000:0.000000:0.000000 Solución:@0.073099:0.838064:0.139233:0.838064:0.139233:0.821394:0.073099:0.821394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. Esta ecuación es de la forma . Pasamos al segundo miembro, el 8, con :@0.073089:0.861858:0.710268:0.861858:0.710268:0.845424:0.073089:0.845424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.322429:0.861858:0.329884:0.861858:0.329884:0.845452:0.322429:0.845452:0.000000 1:@0.334983:0.861303:0.350316:0.861303:0.350316:0.847588:0.334983:0.847588:0.000000 a:@0.355451:0.861858:0.364710:0.861858:0.364710:0.845452:0.355451:0.845452:0.000000 5:@0.369809:0.861303:0.385142:0.861303:0.385142:0.847588:0.369809:0.847588:0.000000 b:@0.390278:0.861858:0.399537:0.861858:0.399537:0.845452:0.390278:0.845452:0.000000 operación contraria, es decir, con 8.:@0.103198:0.878500:0.373049:0.878500:0.373049:0.862066:0.103198:0.862066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.345696:0.877945:0.361029:0.877945:0.361029:0.864229:0.345696:0.864229:0.000000 x:@0.103198:0.902284:0.110653:0.902284:0.110653:0.885878:0.103198:0.885878:0.000000 8 9:@0.110580:0.902284:0.190007:0.902284:0.190007:0.885850:0.110580:0.885850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 5 2:@0.114537:0.901729:0.181116:0.901729:0.181116:0.888013:0.114537:0.888013:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.103217:0.918926:0.110672:0.918926:0.110672:0.902519:0.103217:0.902519:0.000000 9 8:@0.110598:0.918926:0.190025:0.918926:0.190025:0.902492:0.110598:0.902492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2 2:@0.114556:0.918371:0.177177:0.918371:0.177177:0.904655:0.114556:0.904655:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.103217:0.935567:0.110672:0.935567:0.110672:0.919161:0.103217:0.919161:0.000000 17:@0.110598:0.935567:0.166888:0.935567:0.166888:0.919134:0.110598:0.919134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.114556:0.935013:0.149088:0.935013:0.149088:0.921297:0.114556:0.921297:0.000000:0.000000:0.000000 Tema 5. Ecuaciones lineales o ecuaciones de primer grado :@0.073089:0.098522:0.933267:0.098522:0.933267:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En música, una octava es :@0.740294:0.297557:0.888057:0.297557:0.888057:0.284111:0.740294:0.284111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el intervalo entre una nota :@0.740294:0.311173:0.896710:0.311173:0.896710:0.297727:0.740294:0.297727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 musical y otra con el doble (o :@0.740294:0.324789:0.913935:0.324789:0.913935:0.311344:0.740294:0.311344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la mitad) de su frecuencia. :@0.740294:0.338405:0.894537:0.338405:0.894537:0.324960:0.740294:0.324960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La relación de frecuencia :@0.740294:0.352021:0.887376:0.352021:0.887376:0.338576:0.740294:0.338576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 entre dos notas en una :@0.740294:0.365637:0.877264:0.365637:0.877264:0.352192:0.740294:0.352192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 octava es siempre 2:1. :@0.740294:0.379254:0.870142:0.379254:0.870142:0.365808:0.740294:0.365808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Matemáticamente, si es la :@0.740294:0.392870:0.899860:0.392870:0.899860:0.379424:0.740294:0.379424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.864437:0.392870:0.868278:0.392870:0.868278:0.379446:0.864437:0.379446:0.000000 frecuencia de una nota, la :@0.740279:0.406486:0.892444:0.406486:0.892444:0.393040:0.740279:0.393040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 frecuencia de la nota una :@0.740279:0.420102:0.890036:0.420102:0.890036:0.406656:0.740279:0.406656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 octava más alta es 2 , y la :@0.740279:0.433718:0.887405:0.433718:0.887405:0.420272:0.740279:0.420272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.855657:0.433718:0.859497:0.433718:0.859497:0.420295:0.855657:0.420295:0.000000 frecuencia de la nota una :@0.740264:0.447334:0.890021:0.447334:0.890021:0.433888:0.740264:0.433888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 octava más baja es Las :@0.740264:0.464490:0.892513:0.464486:0.892513:0.451040:0.740264:0.451044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.858405:0.457379:0.861392:0.457379:0.861392:0.446939:0.858405:0.446939:0.000000 2:@0.857034:0.467573:0.862750:0.467573:0.862750:0.457115:0.857034:0.457115:0.000000 ecuaciones matemáticas :@0.740297:0.478102:0.887372:0.478102:0.887372:0.464656:0.740297:0.464656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ofrecen una descripción :@0.740297:0.491718:0.883875:0.491718:0.883875:0.478272:0.740297:0.478272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 precisa de las relaciones y :@0.740297:0.505334:0.891765:0.505334:0.891765:0.491888:0.740297:0.491888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 propiedades fundamentales :@0.740297:0.518950:0.907705:0.518950:0.907705:0.505505:0.740297:0.505505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de la música, especialmente en :@0.740297:0.532566:0.924377:0.532566:0.924377:0.519121:0.740297:0.519121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lo que respecta a las octavas y :@0.740297:0.546182:0.917568:0.546182:0.917568:0.532737:0.740297:0.532737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las frecuencias.:@0.740297:0.559799:0.826461:0.559799:0.826461:0.546353:0.740297:0.546353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Interdisciplinariedad :@0.740294:0.241112:0.906668:0.241112:0.906668:0.224166:0.740294:0.224166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Matemáticas :@0.740294:0.257754:0.837245:0.257754:0.837245:0.241320:0.740294:0.241320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y Música :@0.740294:0.274396:0.807381:0.274396:0.807381:0.257962:0.740294:0.257962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Cuál es el valor de en cada igualdad para que se cumplan?:@0.293660:0.165426:0.734919:0.165426:0.734919:0.148992:0.293660:0.148992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.434899:0.165426:0.442354:0.165426:0.442354:0.149020:0.434899:0.149020:0.000000 3 7 :@0.293660:0.192788:0.369182:0.192789:0.369182:0.176356:0.293660:0.176354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 5:@0.306508:0.192233:0.352379:0.192233:0.352379:0.178518:0.306508:0.178518:0.000000:0.000000:0.000000 x:@0.325707:0.192788:0.333162:0.192788:0.333162:0.176382:0.325707:0.176382:0.000000 6 12 :@0.414151:0.192789:0.478427:0.192789:0.478427:0.176356:0.414151:0.176356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.423046:0.192789:0.430501:0.192789:0.430501:0.176383:0.423046:0.176383:0.000000 5:@0.434385:0.192235:0.449718:0.192235:0.449718:0.178519:0.434385:0.178519:0.000000 4 10 :@0.534631:0.192789:0.619060:0.192789:0.619060:0.176356:0.534631:0.176356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 5:@0.547479:0.192235:0.593350:0.192235:0.593350:0.178519:0.547479:0.178519:0.000000:0.000000:0.000000 x:@0.566678:0.192789:0.574133:0.192789:0.574133:0.176383:0.566678:0.176383:0.000000 :@0.655135:0.192789:0.659166:0.192789:0.659166:0.176356:0.655135:0.176356:0.000000 2:@0.715347:0.192789:0.724330:0.192789:0.724330:0.176356:0.715347:0.176356:0.000000 x :@0.724117:0.192789:0.734701:0.192789:0.734701:0.176383:0.724117:0.176383:0.000000:0.000000 5 2:@0.733965:0.192235:0.767503:0.192235:0.767503:0.178519:0.733965:0.178519:0.000000:0.000000:0.000000 10:@0.749041:0.192789:0.784990:0.192789:0.784990:0.176356:0.749041:0.176356:0.000000:0.000000:0.000000:0.000000 Cejilla:@0.772742:0.635087:0.804527:0.635087:0.804527:0.622886:0.772742:0.622886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.740294:0.788108:0.848854:0.788108:0.848854:0.771161:0.740294:0.771161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.740294:0.804750:0.837769:0.804750:0.837769:0.787803:0.740294:0.787803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Una ecuación es una :@0.740294:0.830196:0.881494:0.830196:0.881494:0.815256:0.740294:0.815256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 igualdad que contiene una :@0.740294:0.845324:0.922509:0.845324:0.922509:0.830385:0.740294:0.830385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 incógnita representada por :@0.740294:0.860453:0.923478:0.860453:0.923478:0.845514:0.740294:0.845514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 una variable, en este caso .:@0.740294:0.875582:0.921220:0.875582:0.921220:0.860643:0.740294:0.860643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.911598:0.875582:0.918376:0.875582:0.918376:0.860668:0.911598:0.860668:0.000000 x:@0.769093:0.890711:0.775870:0.890711:0.775870:0.875797:0.769093:0.875797:0.000000 6 5 8 3:@0.775803:0.890711:0.892421:0.890711:0.892421:0.875771:0.775803:0.875771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 2 5 1:@0.779401:0.890207:0.880741:0.890207:0.880741:0.877738:0.779401:0.877738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Segundo:@0.842856:0.909597:0.903375:0.909597:0.903375:0.894657:0.842856:0.894657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 miembro:@0.842504:0.924726:0.903717:0.924726:0.903717:0.909786:0.842504:0.909786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Primer:@0.778531:0.909597:0.821540:0.909597:0.821540:0.894657:0.778531:0.894657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 miembro:@0.769294:0.924726:0.830712:0.924726:0.830712:0.909786:0.769294:0.909786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000