184:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000 Tema 2:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Resolución de problemas con ecuaciones :@0.305293:0.069842:0.850899:0.069842:0.850899:0.042186:0.305293:0.042186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de primer grado:@0.305293:0.096253:0.516280:0.096253:0.516280:0.068597:0.305293:0.068597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Una ecuación de primer grado es polinómica y su grado es 1; por lo tanto, existirá :@0.304744:0.245597:0.907160:0.245597:0.907160:0.229928:0.304744:0.229928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a lo sumo una solución o raíz o puede no tener solución.:@0.304744:0.260686:0.719231:0.260686:0.719231:0.245017:0.304744:0.245017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En este tema vamos a resolver problemas de ecuaciones de primer grado :@0.304744:0.282898:0.907117:0.282898:0.907117:0.267228:0.304744:0.267228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 relacionados con nuestra vida cotidiana. :@0.304744:0.297987:0.602884:0.297987:0.602884:0.282317:0.304744:0.282317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 El tiempo musical de una fusa más el tiempo de una semicorchea es :@0.304744:0.320198:0.840306:0.320198:0.840306:0.304528:0.304744:0.304528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.847379:0.312503:0.856372:0.312503:0.856372:0.296834:0.847379:0.296834:0.000000 8:@0.847012:0.331953:0.856005:0.331953:0.856005:0.316283:0.847012:0.316283:0.000000 . Si el :@0.861357:0.320204:0.907113:0.320204:0.907113:0.304535:0.861357:0.304535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.864564:0.323980:0.868599:0.323980:0.868599:0.308310:0.864564:0.308310:0.000000 tiempo de la semicorchea es el doble del de la fusa, ¿cuáles son los tiempos de las :@0.304750:0.340576:0.907224:0.340576:0.907224:0.324907:0.304750:0.324907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dos figuras musicales? :@0.304750:0.357173:0.471889:0.357173:0.471889:0.341503:0.304750:0.341503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Este problema se puede resolver por medio de una ecuación. Para poder plantearla, :@0.304750:0.380892:0.907166:0.380892:0.907166:0.365222:0.304750:0.365222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 es necesario traducir el lenguaje común a lenguaje algebraico, observando la :@0.304750:0.397488:0.907131:0.397488:0.907131:0.381818:0.304750:0.381818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 asignación adecuada de la incógnita.:@0.304750:0.414085:0.575799:0.414085:0.575799:0.398415:0.304750:0.398415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 De la condición de que el tiempo de la semicorchea es el doble del de la fusa, :@0.304750:0.437804:0.907124:0.437804:0.907124:0.422134:0.304750:0.422134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 concluimos que::@0.304750:0.454400:0.426133:0.454400:0.426133:0.438730:0.304750:0.438730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Tiempo musical de la fusa .:@0.304750:0.478119:0.509113:0.478119:0.509113:0.462449:0.304750:0.462449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.498443:0.478119:0.505906:0.478119:0.505906:0.461758:0.498443:0.461758:0.000000 Tiempo musical de la semicorchea 2 .:@0.304750:0.501838:0.581659:0.501838:0.581659:0.486168:0.304750:0.486168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.570989:0.501838:0.578452:0.501838:0.578452:0.485477:0.570989:0.485477:0.000000 Ahora, tomemos la condición de la suma de los tiempos musicales, la cual nos :@0.304750:0.525557:0.907150:0.525557:0.907150:0.509887:0.304750:0.509887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 permite plantear la ecuación.:@0.304750:0.542153:0.518177:0.542153:0.518177:0.526483:0.304750:0.526483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.308826:0.574702:0.316289:0.574702:0.316289:0.558341:0.308826:0.558341:0.000000 x:@0.343323:0.574702:0.350786:0.574702:0.350786:0.558341:0.343323:0.558341:0.000000 2:@0.333059:0.574702:0.342051:0.574702:0.342051:0.559032:0.333059:0.559032:0.000000 3:@0.370430:0.565740:0.379423:0.565740:0.379423:0.550070:0.370430:0.550070:0.000000 8:@0.370078:0.585192:0.379071:0.585192:0.379071:0.569522:0.370078:0.569522:0.000000 +:@0.320194:0.575372:0.330311:0.575372:0.330311:0.559799:0.320194:0.559799:0.000000 =:@0.355225:0.575372:0.365342:0.575372:0.365342:0.559799:0.355225:0.559799:0.000000 :@0.383480:0.588533:0.387516:0.588533:0.387516:0.572863:0.383480:0.572863:0.000000 Una vez planteada la ecuación resolvemos.:@0.304739:0.612252:0.618852:0.612252:0.618852:0.596582:0.304739:0.596582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.304739:0.658611:0.466165:0.658611:0.466165:0.642941:0.304739:0.642941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.478625:0.644782:0.486088:0.644782:0.486088:0.628420:0.478625:0.628420:0.000000 3:@0.468785:0.644782:0.477778:0.644782:0.477778:0.629112:0.468785:0.629112:0.000000 3:@0.505751:0.635820:0.514743:0.635820:0.514743:0.620150:0.505751:0.620150:0.000000 8:@0.505377:0.655273:0.514370:0.655273:0.514370:0.639603:0.505377:0.639603:0.000000 =:@0.490509:0.645459:0.500626:0.645459:0.500626:0.629886:0.490509:0.629886:0.000000 :@0.519772:0.646040:0.564165:0.646040:0.564165:0.630370:0.519772:0.630370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.564165:0.658612:0.568200:0.658612:0.568200:0.642942:0.564165:0.642942:0.000000 x:@0.572283:0.644782:0.579746:0.644782:0.579746:0.628420:0.572283:0.628420:0.000000 3:@0.607461:0.635820:0.616454:0.635820:0.616454:0.620150:0.607461:0.620150:0.000000 83:@0.599035:0.655273:0.624944:0.655273:0.624944:0.639603:0.599035:0.639603:0.000000:0.000000 =:@0.584167:0.645459:0.594284:0.645459:0.594284:0.629886:0.584167:0.629886:0.000000 ⋅:@0.609976:0.655950:0.614583:0.655950:0.614583:0.640377:0.609976:0.640377:0.000000 :@0.628509:0.646039:0.672901:0.646039:0.672901:0.630369:0.628509:0.630369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.672901:0.658611:0.676937:0.658611:0.676937:0.642941:0.672901:0.642941:0.000000 x:@0.681018:0.644782:0.688481:0.644782:0.688481:0.628420:0.681018:0.628420:0.000000 1:@0.708714:0.635820:0.717707:0.635820:0.717707:0.620150:0.708714:0.620150:0.000000 8:@0.707770:0.655273:0.716762:0.655273:0.716762:0.639603:0.707770:0.639603:0.000000 =:@0.692902:0.645459:0.703019:0.645459:0.703019:0.629886:0.692902:0.629886:0.000000 Es conveniente comprobar el valor obtenido de la incógnita.:@0.304742:0.682331:0.747295:0.682331:0.747295:0.666661:0.304742:0.666661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.308826:0.715672:0.316289:0.715672:0.316289:0.700279:0.308826:0.700279:0.000000 +:@0.319864:0.716350:0.329981:0.716350:0.329981:0.700777:0.319864:0.700777:0.000000 2:@0.332432:0.715672:0.341425:0.715672:0.341425:0.700002:0.332432:0.700002:0.000000 x:@0.342696:0.715672:0.350159:0.715672:0.350159:0.700279:0.342696:0.700279:0.000000 =:@0.354472:0.716350:0.364588:0.716350:0.364588:0.700777:0.354472:0.700777:0.000000 3:@0.369601:0.706793:0.378593:0.706793:0.378593:0.691123:0.369601:0.691123:0.000000 8:@0.369232:0.726128:0.378225:0.726128:0.378225:0.710458:0.369232:0.710458:0.000000 ;:@0.381878:0.715672:0.385085:0.715672:0.385085:0.700002:0.381878:0.700002:0.000000 1:@0.405650:0.706793:0.414643:0.706793:0.414643:0.691123:0.405650:0.691123:0.000000 8:@0.404710:0.726128:0.413703:0.726128:0.413703:0.710458:0.404710:0.710458:0.000000 +:@0.417583:0.716350:0.427700:0.716350:0.427700:0.700777:0.417583:0.700777:0.000000 2:@0.430150:0.715672:0.439143:0.715672:0.439143:0.700002:0.430150:0.700002:0.000000 1:@0.451821:0.706793:0.460814:0.706793:0.460814:0.691123:0.451821:0.691123:0.000000 8:@0.450882:0.726128:0.459874:0.726128:0.459874:0.710458:0.450882:0.710458:0.000000 =:@0.474017:0.716350:0.484133:0.716350:0.484133:0.700777:0.474017:0.700777:0.000000 3:@0.489146:0.706793:0.498138:0.706793:0.498138:0.691123:0.489146:0.691123:0.000000 8:@0.488777:0.726128:0.497770:0.726128:0.497770:0.710458:0.488777:0.710458:0.000000 ;:@0.501186:0.715672:0.504392:0.715672:0.504392:0.700002:0.501186:0.700002:0.000000 1 2:@0.526745:0.706793:0.561853:0.706793:0.561853:0.691123:0.526745:0.691123:0.000000:0.000000:0.000000 8 8:@0.525805:0.726128:0.561687:0.726128:0.561687:0.710458:0.525805:0.710458:0.000000:0.000000:0.000000 + =:@0.538671:0.716350:0.576429:0.716350:0.576429:0.700777:0.538671:0.700777:0.000000:0.000000:0.000000 3:@0.581441:0.706793:0.590434:0.706793:0.590434:0.691123:0.581441:0.691123:0.000000 8:@0.581073:0.726128:0.590065:0.726128:0.590065:0.710458:0.581073:0.710458:0.000000 ;:@0.593900:0.715672:0.597107:0.715672:0.597107:0.700002:0.593900:0.700002:0.000000 3:@0.615184:0.706793:0.624177:0.706793:0.624177:0.691123:0.615184:0.691123:0.000000 8:@0.614815:0.726128:0.623808:0.726128:0.623808:0.710458:0.614815:0.710458:0.000000 =:@0.628432:0.716350:0.638549:0.716350:0.638549:0.700777:0.628432:0.700777:0.000000 3:@0.643561:0.706793:0.652554:0.706793:0.652554:0.691123:0.643561:0.691123:0.000000 8:@0.643192:0.726128:0.652185:0.726128:0.652185:0.710458:0.643192:0.710458:0.000000 Como el valor satisface a la ecuación, interpretamos la solución.:@0.304744:0.756103:0.769336:0.756103:0.769336:0.740433:0.304744:0.740433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.304744:0.779822:0.312207:0.779822:0.312207:0.763461:0.304744:0.763461:0.000000 representa el tiempo de la fusa. :@0.312207:0.779822:0.549407:0.779822:0.549407:0.764152:0.312207:0.764152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Entonces, el tiempo de la fusa es :@0.304744:0.813610:0.547047:0.813610:0.547047:0.797940:0.304744:0.797940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.552069:0.803395:0.561062:0.803395:0.561062:0.787725:0.552069:0.787725:0.000000 8:@0.551126:0.822843:0.560119:0.822843:0.560119:0.807173:0.551126:0.807173:0.000000 .:@0.565471:0.809839:0.568678:0.809839:0.568678:0.794169:0.565471:0.794169:0.000000 El tiempo de la semicorchea se obtiene al reemplazar el valor de en 2 .:@0.304739:0.849905:0.832022:0.849905:0.832022:0.834236:0.304739:0.834236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.774693:0.849905:0.785473:0.849905:0.785473:0.833544:0.774693:0.833544:0.000000:0.000000 x:@0.821352:0.849905:0.828815:0.849905:0.828815:0.833544:0.821352:0.833544:0.000000 2:@0.307360:0.883244:0.316353:0.883244:0.316353:0.867574:0.307360:0.867574:0.000000 1:@0.329031:0.874365:0.338024:0.874365:0.338024:0.858695:0.329031:0.858695:0.000000 8:@0.328092:0.893700:0.337084:0.893700:0.337084:0.878030:0.328092:0.878030:0.000000 =:@0.351232:0.883922:0.361348:0.883922:0.361348:0.868349:0.351232:0.868349:0.000000 1:@0.367522:0.874365:0.376514:0.874365:0.376514:0.858695:0.367522:0.858695:0.000000 4:@0.366729:0.893700:0.375722:0.893700:0.375722:0.878030:0.366729:0.878030:0.000000 .:@0.381805:0.882347:0.385011:0.882347:0.385011:0.866678:0.381805:0.866678:0.000000 Por lo tanto, el tiempo musical de la semicorchea es:@0.304740:0.918389:0.683920:0.918389:0.683920:0.902719:0.304740:0.902719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.683926:0.933478:0.687961:0.933478:0.687961:0.917808:0.683926:0.917808:0.000000 1:@0.693560:0.910692:0.702553:0.910692:0.702553:0.895022:0.693560:0.895022:0.000000 4:@0.692774:0.930141:0.701767:0.930141:0.701767:0.914472:0.692774:0.914472:0.000000 .:@0.706386:0.918394:0.709592:0.918394:0.709592:0.902724:0.706386:0.902724:0.000000 Resuelve:@0.311168:0.166191:0.382260:0.166191:0.382260:0.149290:0.311168:0.149290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las ecuaciones::@0.382260:0.166191:0.495553:0.166191:0.495553:0.150521:0.382260:0.150521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –7+2 = 11 :@0.311168:0.198720:0.435824:0.198720:0.435824:0.183050:0.311168:0.183050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.377600:0.198720:0.385063:0.198720:0.385063:0.182358:0.377600:0.182358:0.000000 14 – 6 = 8 + 18 :@0.492091:0.198720:0.644616:0.198720:0.644616:0.183050:0.492091:0.183050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.530254:0.198720:0.537718:0.198720:0.537718:0.182358:0.530254:0.182358:0.000000 x:@0.592042:0.198720:0.599505:0.198720:0.599505:0.182358:0.592042:0.182358:0.000000 :@0.673013:0.198720:0.721441:0.198720:0.721441:0.183050:0.673013:0.183050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.739874:0.198720:0.747337:0.198720:0.747337:0.182359:0.739874:0.182359:0.000000 x:@0.830869:0.198720:0.838333:0.198720:0.838333:0.182359:0.830869:0.182359:0.000000 1:@0.727048:0.189762:0.736041:0.189762:0.736041:0.174092:0.727048:0.174092:0.000000 4:@0.726262:0.209210:0.735255:0.209210:0.735255:0.193540:0.726262:0.193540:0.000000 5:@0.764113:0.198720:0.773106:0.198720:0.773106:0.183050:0.764113:0.183050:0.000000 7:@0.790077:0.189758:0.799070:0.189758:0.799070:0.174088:0.790077:0.174088:0.000000 2 8:@0.790444:0.209210:0.826608:0.209210:0.826608:0.193540:0.790444:0.193540:0.000000:0.000000:0.000000 3:@0.817982:0.189762:0.826975:0.189762:0.826975:0.174092:0.817982:0.174092:0.000000 −= +:@0.751234:0.199398:0.813390:0.199398:0.813390:0.183825:0.751234:0.183825:0.000000:0.000000:0.000000:0.000000 Saberes previos:@0.344861:0.139565:0.470369:0.139565:0.470369:0.122665:0.344861:0.122665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Shutterstock, 185667425.:@0.090680:0.253331:0.090680:0.178052:0.079292:0.178052:0.079292:0.253331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Figuras musicales en el :@0.095800:0.280798:0.236530:0.280798:0.236530:0.267977:0.095800:0.267977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pentagrama:@0.095800:0.294377:0.169588:0.294377:0.169588:0.281556:0.095800:0.281556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Matemática :@0.143921:0.371370:0.236427:0.371370:0.236427:0.356006:0.143921:0.356006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y Música:@0.155446:0.386458:0.217983:0.386458:0.217983:0.371094:0.155446:0.371094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Las figuras musicales :@0.106161:0.412233:0.248807:0.412233:0.248807:0.397987:0.106161:0.397987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 indican la duración del :@0.106161:0.427320:0.261355:0.427320:0.261355:0.413075:0.106161:0.413075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sonido. Colocadas en el :@0.106161:0.442408:0.266766:0.442408:0.266766:0.428163:0.106161:0.428163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pentagrama, indican la :@0.106161:0.457495:0.262377:0.457495:0.262377:0.443250:0.106161:0.443250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 altura.:@0.106161:0.472583:0.146852:0.472583:0.146852:0.458338:0.106161:0.458338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Las figuras musicales :@0.106161:0.494799:0.248807:0.494799:0.248807:0.480554:0.106161:0.480554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 son redonda :@0.106161:0.509887:0.194245:0.509887:0.194245:0.495642:0.106161:0.495642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.213356:0.509892:0.223608:0.509892:0.223608:0.495647:0.213356:0.495647:0.000000:0.000000:0.000000 blanca , negra :@0.106157:0.541287:0.213220:0.541281:0.213220:0.527035:0.106157:0.527042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , corchea :@0.106157:0.573851:0.169732:0.573851:0.169732:0.559606:0.106157:0.559606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.195753:0.573851:0.202336:0.573851:0.202336:0.559606:0.195753:0.559606:0.000000:0.000000 semicorchea :@0.106161:0.607383:0.194747:0.607383:0.194747:0.593138:0.106161:0.593138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.221633:0.607388:0.231886:0.607388:0.231886:0.593143:0.221633:0.593143:0.000000:0.000000:0.000000 fusa :@0.106159:0.641122:0.136967:0.641122:0.136967:0.626876:0.106159:0.626876:0.000000:0.000000:0.000000:0.000000:0.000000 y semifusa :@0.163362:0.641118:0.240473:0.641118:0.240473:0.626873:0.163362:0.626873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.263369:0.641118:0.266284:0.641118:0.266284:0.626873:0.263369:0.626873:0.000000 El tiempo musical de :@0.106164:0.663334:0.249112:0.663334:0.249112:0.649089:0.106164:0.649089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 estas figuras se mide :@0.106164:0.678422:0.247990:0.678422:0.247990:0.664177:0.106164:0.664177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en pulsos.:@0.106164:0.693510:0.172770:0.693510:0.172770:0.679264:0.106164:0.679264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Interdisciplinariedad:@0.126693:0.346860:0.271644:0.346860:0.271644:0.329960:0.126693:0.329960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La etnomatemática es :@0.106105:0.803016:0.257394:0.803016:0.257394:0.788770:0.106105:0.788770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el área de la educación :@0.106105:0.818103:0.262689:0.818103:0.262689:0.803858:0.106105:0.803858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que busca reflexionar :@0.106105:0.833191:0.252921:0.833191:0.252921:0.818946:0.106105:0.818946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sobre el conocimiento :@0.106105:0.848278:0.259639:0.848278:0.259639:0.834033:0.106105:0.834033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemático que se :@0.106105:0.863366:0.238499:0.863366:0.238499:0.849121:0.106105:0.849121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 genera a partir de la :@0.106105:0.878454:0.243188:0.878454:0.243188:0.864208:0.106105:0.864208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 interacción en un grupo :@0.106105:0.893541:0.270999:0.893541:0.270999:0.879296:0.106105:0.879296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cultural en particular. :@0.106105:0.908629:0.249837:0.908629:0.249837:0.894384:0.106105:0.894384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Interculturalidad:@0.136439:0.777255:0.266163:0.777255:0.266163:0.758953:0.136439:0.758953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M.4.1.38.:@0.098034:0.943017:0.143944:0.943017:0.143944:0.932262:0.098034:0.932262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Resolver ecuaciones de primer grado con una incógnita en R para resolver problemas sencillos.:@0.143944:0.943017:0.588966:0.943017:0.588966:0.933045:0.143944:0.933045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = 9:@0.434273:0.196349:0.459439:0.196349:0.459439:0.186377:0.434273:0.186377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.436842:0.196349:0.441591:0.196349:0.441591:0.185937:0.436842:0.185937:0.000000 = 4:@0.649880:0.196349:0.675046:0.196349:0.675046:0.186377:0.649880:0.186377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.652448:0.196349:0.657198:0.196349:0.657198:0.185937:0.652448:0.185937:0.000000 = –27 :@0.851825:0.196349:0.893713:0.196349:0.893713:0.186377:0.851825:0.186377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.856962:0.196349:0.861711:0.196349:0.861711:0.185937:0.856962:0.185937:0.000000