﻿97:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.726886:0.917053:0.726886:0.911946:0.714804:0.911946:0.714804:0.917053:0.000000
Shutterstock:@0.726886:0.911946:0.726886:0.874228:0.714975:0.874228:0.714975:0.911946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Situaciones multiplicativas:@0.096359:0.112355:0.328503:0.112355:0.328503:0.093918:0.096359:0.093918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las ecuaciones que tienen como operación principal una multiplicación :@0.110605:0.147996:0.701836:0.147996:0.701836:0.131607:0.110605:0.131607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o división se llaman :@0.110605:0.164592:0.254654:0.164592:0.254654:0.148203:0.110605:0.148203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones de estructura multiplicativa:@0.254470:0.164592:0.559429:0.164592:0.559429:0.147691:0.254470:0.147691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y tienen la forma::@0.559245:0.164592:0.686209:0.164592:0.686209:0.148203:0.559245:0.148203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax b:@0.344770:0.196019:0.393003:0.196019:0.393003:0.181196:0.344770:0.181196:0.000000:0.000000:0.000000:0.000000
x:@0.425593:0.188075:0.432354:0.188075:0.432354:0.173251:0.425593:0.173251:0.000000
a:@0.424791:0.205843:0.433189:0.205843:0.433189:0.191019:0.424791:0.191019:0.000000
b:@0.449784:0.196019:0.458182:0.196019:0.458182:0.181196:0.449784:0.181196:0.000000
=:@0.437981:0.196019:0.447931:0.196019:0.447931:0.181171:0.437981:0.181171:0.000000
=   o   :@0.371667:0.196019:0.420935:0.196019:0.420935:0.181171:0.371667:0.181171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.354507:0.203731:0.359971:0.203731:0.359971:0.187300:0.354507:0.187300:0.000000
Ejemplo::@0.096359:0.247764:0.159842:0.247764:0.159842:0.231126:0.096359:0.231126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En este año lectivo, la biblioteca cuenta con 3 420 libros. Si esa cantidad es el triple :@0.096359:0.271483:0.716576:0.271483:0.716576:0.255094:0.096359:0.255094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de  los  libros  que  había  hace  dos  años,  ¿cuántos  libros  había  hace  dos  años  en :@0.096359:0.288079:0.716541:0.288079:0.716541:0.271690:0.096359:0.271690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la biblioteca?:@0.096359:0.304675:0.190156:0.304675:0.190156:0.288287:0.096359:0.288287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.328394:0.160137:0.328394:0.160137:0.311757:0.096359:0.311757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificamos la incógnita ‘cantidad de libros hace dos años’; le asignamos una variable, :@0.096359:0.352113:0.716549:0.352113:0.716549:0.335725:0.096359:0.335725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en este caso  . Luego, basándonos en el enunciado del problema, planteamos la ecua-:@0.096359:0.368710:0.712506:0.368710:0.712506:0.352321:0.096359:0.352321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.188090:0.368710:0.195332:0.368710:0.195332:0.352349:0.188090:0.352349:0.000000
ción de estructura multiplicativa.:@0.096359:0.385306:0.329819:0.385306:0.329819:0.368917:0.096359:0.368917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3  = 3 420:@0.096359:0.409025:0.171102:0.409025:0.171102:0.392636:0.096359:0.392636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.105168:0.409025:0.112410:0.409025:0.112410:0.392664:0.105168:0.392664:0.000000
Resolvemos la ecuación mediante la transposición de términos para hallar la solución.:@0.096359:0.432744:0.708415:0.432744:0.708415:0.416355:0.096359:0.416355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z :@0.096372:0.470590:0.106931:0.470590:0.106931:0.454229:0.096372:0.454229:0.000000:0.000000
=:@0.106931:0.470590:0.117914:0.470590:0.117914:0.454201:0.106931:0.454201:0.000000
3 420:@0.131514:0.461628:0.171520:0.461628:0.171520:0.445239:0.131514:0.445239:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.147011:0.482055:0.156004:0.482055:0.156004:0.465667:0.147011:0.465667:0.000000
z:@0.096354:0.500132:0.103596:0.500132:0.103596:0.483770:0.096354:0.483770:0.000000
 = 1 140:@0.103596:0.500132:0.162657:0.500132:0.162657:0.483743:0.103596:0.483743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hace dos años en la biblioteca había 1 140 libros.:@0.096354:0.523961:0.445797:0.523961:0.445797:0.507572:0.096354:0.507572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para problemas que deban resolverse mediante inecuaciones, el proceso es similar.:@0.096354:0.540558:0.688342:0.540558:0.688342:0.524169:0.096354:0.524169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.096354:0.574968:0.159837:0.574968:0.159837:0.558330:0.096354:0.558330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El largo de un terreno rectangular mide tres veces lo que su ancho. ¿Cuánto debe :@0.096354:0.598686:0.716628:0.598686:0.716628:0.582298:0.096354:0.582298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medir como mínimo el ancho para que el perímetro del terreno sea mayor que :@0.096354:0.615283:0.716442:0.615283:0.716442:0.598894:0.096354:0.598894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
112 metros?:@0.096354:0.631879:0.184180:0.631879:0.184180:0.615490:0.096354:0.615490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096354:0.655598:0.160132:0.655598:0.160132:0.638960:0.096354:0.638960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Representamos el problema asignando una variable::@0.096354:0.679317:0.472055:0.679317:0.472055:0.662928:0.096354:0.662928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ancho del terreno: :@0.096354:0.695914:0.233712:0.695914:0.233712:0.679525:0.096354:0.679525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.233527:0.695914:0.240991:0.695914:0.240991:0.679552:0.233527:0.679552:0.000000
Largo del terreno: 3:@0.096354:0.712510:0.235683:0.712510:0.235683:0.696121:0.096354:0.696121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.235499:0.712510:0.242962:0.712510:0.242962:0.696149:0.235499:0.696149:0.000000
Perímetro: P =   +  + 3  + 3:@0.096354:0.729106:0.295446:0.729106:0.295446:0.712717:0.096354:0.712717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x :@0.201023:0.729106:0.237399:0.729106:0.237399:0.712745:0.201023:0.712745:0.000000:0.000000:0.000000:0.000000
x:@0.260673:0.729106:0.268136:0.729106:0.268136:0.712745:0.260673:0.712745:0.000000
x:@0.295262:0.729106:0.302725:0.729106:0.302725:0.712745:0.295262:0.712745:0.000000
Planteamos la inecuación y la resolvemos:@0.096354:0.745703:0.392355:0.745703:0.392355:0.729314:0.096354:0.729314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.096354:0.764706:0.103817:0.764706:0.103817:0.748344:0.096354:0.748344:0.000000
 +  + 3 + 3  >112:@0.103817:0.764706:0.241914:0.764706:0.241914:0.748317:0.103817:0.748317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.122871:0.764706:0.133651:0.764706:0.133651:0.748344:0.122871:0.748344:0.000000:0.000000
x :@0.157663:0.764706:0.168443:0.764706:0.168443:0.748344:0.157663:0.748344:0.000000:0.000000
x:@0.192454:0.764706:0.199917:0.764706:0.199917:0.748344:0.192454:0.748344:0.000000
8  >112:@0.096354:0.788425:0.154806:0.788425:0.154806:0.772036:0.096354:0.772036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.105347:0.788425:0.112810:0.788425:0.112810:0.772063:0.105347:0.772063:0.000000
x:@0.096372:0.819161:0.103836:0.819161:0.103836:0.802799:0.096372:0.802799:0.000000
 >:@0.103836:0.819161:0.118854:0.819161:0.118854:0.802772:0.103836:0.802772:0.000000:0.000000
112:@0.125138:0.810198:0.152116:0.810198:0.152116:0.793810:0.125138:0.793810:0.000000:0.000000:0.000000
8:@0.134131:0.830626:0.143123:0.830626:0.143123:0.814237:0.134131:0.814237:0.000000
x:@0.096372:0.852326:0.103836:0.852326:0.103836:0.835964:0.096372:0.835964:0.000000
 >14:@0.103836:0.852326:0.136839:0.852326:0.136839:0.835937:0.103836:0.835937:0.000000:0.000000:0.000000:0.000000
El ancho del terreno debe medir como mínimo 14 metros.:@0.096372:0.882337:0.512835:0.882337:0.512835:0.865948:0.096372:0.865948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.441872:0.738060:0.449335:0.738060:0.449335:0.721698:0.441872:0.721698:0.000000
3:@0.559311:0.700925:0.568304:0.700925:0.568304:0.684536:0.559311:0.684536:0.000000
x:@0.568120:0.700925:0.575583:0.700925:0.575583:0.684564:0.568120:0.684564:0.000000
En la industria química, las :@0.755005:0.147626:0.933466:0.147626:0.933466:0.132727:0.755005:0.132727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones son :@0.755005:0.162714:0.861818:0.162714:0.861818:0.147815:0.755005:0.147815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamentales para :@0.755005:0.177801:0.892257:0.177801:0.892257:0.162902:0.755005:0.162902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realizar combinaciones y :@0.755005:0.192889:0.922897:0.192889:0.922897:0.177990:0.755005:0.177990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reacciones que permitan :@0.755005:0.207976:0.924721:0.207976:0.924721:0.193077:0.755005:0.193077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
crear sustancias.:@0.755005:0.223064:0.862285:0.223064:0.862285:0.208165:0.755005:0.208165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un emprendedor en esta :@0.755005:0.390926:0.914033:0.390926:0.914033:0.376052:0.755005:0.376052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
área de la economía, :@0.755005:0.406014:0.890580:0.406014:0.890580:0.391140:0.755005:0.391140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
también debe ser un :@0.755005:0.421102:0.887131:0.421102:0.887131:0.406228:0.755005:0.406228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
técnico.:@0.755005:0.436189:0.803888:0.436189:0.803888:0.421315:0.755005:0.421315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación :@0.802481:0.108271:0.884165:0.108271:0.884165:0.091371:0.802481:0.091371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiera:@0.802306:0.122102:0.877355:0.122102:0.877355:0.105201:0.802306:0.105201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.807199:0.122102:0.810823:0.122102:0.810823:0.105201:0.807199:0.105201:0.000000
©:@0.909261:0.263378:0.909261:0.258271:0.897179:0.258271:0.897179:0.263378:0.000000
Freepik:@0.909261:0.258271:0.909261:0.236620:0.897350:0.236620:0.897350:0.258271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa al siguiente enlace :@0.754902:0.519773:0.934287:0.519773:0.934287:0.504874:0.754902:0.504874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
web: :@0.754902:0.534861:0.790836:0.534861:0.790836:0.519962:0.754902:0.519962:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/8mt21:@0.790836:0.534861:0.885988:0.534861:0.885988:0.519736:0.790836:0.519736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.806676:0.487332:0.857146:0.487332:0.857146:0.470432:0.806676:0.470432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si a los dos miembros :@0.755005:0.694714:0.903446:0.694714:0.903446:0.679815:0.755005:0.679815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una inecuación se :@0.755005:0.709802:0.900214:0.709802:0.900214:0.694903:0.755005:0.694903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
les multiplica o divide por :@0.755005:0.724889:0.930436:0.724889:0.930436:0.709990:0.755005:0.709990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un mismo número :@0.755005:0.739977:0.883377:0.739977:0.883377:0.725078:0.755005:0.725078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
positivo, la inecuación :@0.755005:0.755065:0.906178:0.755065:0.906178:0.740166:0.755005:0.740166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultante es equivalente :@0.755005:0.770152:0.925557:0.770152:0.925557:0.755253:0.755005:0.755253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la dada. :@0.755005:0.785240:0.821126:0.785240:0.821126:0.770341:0.755005:0.770341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si a los dos miembros :@0.755005:0.803886:0.903446:0.803886:0.903446:0.788987:0.755005:0.788987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una inecuación se :@0.755005:0.818973:0.900214:0.818973:0.900214:0.804074:0.755005:0.804074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
les multiplica o divide :@0.755005:0.834061:0.903665:0.834061:0.903665:0.819162:0.755005:0.819162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por un mismo número :@0.755005:0.849148:0.910147:0.849148:0.910147:0.834249:0.755005:0.834249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
negativo, la inecuación :@0.755005:0.864236:0.912092:0.864236:0.912092:0.849337:0.755005:0.849337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultante cambia de :@0.755005:0.879324:0.898939:0.879324:0.898939:0.864425:0.755005:0.864425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sentido y es equivalente a :@0.755005:0.894411:0.931387:0.894411:0.931387:0.879512:0.755005:0.879512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la dada.:@0.755005:0.909499:0.806183:0.909499:0.806183:0.894600:0.755005:0.894600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.775870:0.662272:0.883411:0.662272:0.883411:0.645371:0.775870:0.645371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000