﻿138:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.º EGB:@0.120102:0.967458:0.170641:0.967458:0.170641:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Problemas con ecuaciones :@0.286308:0.063945:0.753981:0.063945:0.753981:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de primer grado:@0.286308:0.094120:0.568150:0.094120:0.568150:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.159692:0.108604:0.159692:0.011516:0.094760:0.011516:0.000000
Las ecuaciones lineales tienen múltiples aplicaciones :@0.502373:0.150315:0.907118:0.150315:0.907118:0.133926:0.502373:0.133926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la vida cotidiana y en diferentes áreas de la ciencia y :@0.502373:0.165404:0.907061:0.165404:0.907061:0.149015:0.502373:0.149015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la  ingeniería.  Permiten la  interpretación  de modelos :@0.502373:0.180493:0.907133:0.180493:0.907133:0.164104:0.502373:0.164104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticos para la resolución de una infinidad de :@0.502373:0.195582:0.907100:0.195582:0.907100:0.179193:0.502373:0.179193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
situaciones que contengan el mismo caso, es decir, :@0.502373:0.210671:0.907118:0.210671:0.907118:0.194282:0.502373:0.194282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolver a partir de encontrar una variable. :@0.502373:0.225760:0.814901:0.225760:0.814901:0.209371:0.502373:0.209371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.269589:0.179556:0.269589:0.174449:0.257507:0.174449:0.257507:0.179556:0.000000
Shutterstock:@0.269589:0.174449:0.269589:0.136731:0.257678:0.136731:0.257678:0.174449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En este tema vamos a resolver problemas de ecuaciones de primer grado :@0.287495:0.255241:0.907619:0.255241:0.907619:0.238852:0.287495:0.238852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relacionados con nuestra vida cotidiana. :@0.287495:0.270330:0.585636:0.270330:0.585636:0.253941:0.287495:0.253941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El tiempo musical de una fusa más el tiempo de una semicorchea es  . Si el :@0.287495:0.294049:0.850150:0.294053:0.850150:0.277664:0.287495:0.277660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.795688:0.286352:0.804680:0.286352:0.804680:0.269963:0.795688:0.269963:0.000000
8:@0.795321:0.305801:0.804314:0.305801:0.804314:0.289412:0.795321:0.289412:0.000000
tiempo :@0.850095:0.297828:0.907681:0.297828:0.907681:0.281439:0.850095:0.281439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la semicorchea es el doble del de la fusa, ¿cuáles son los tiempos de las dos :@0.287499:0.314425:0.907644:0.314425:0.907644:0.298036:0.287499:0.298036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
figuras musicales? :@0.287499:0.331021:0.423661:0.331021:0.423661:0.314632:0.287499:0.314632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Este problema se puede resolver por medio de una ecuación. Para poder plantearla, :@0.287499:0.354740:0.907607:0.354740:0.907607:0.338351:0.287499:0.338351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es necesario traducir el lenguaje común a lenguaje algebraico, observando la :@0.287499:0.371336:0.907755:0.371336:0.907755:0.354947:0.287499:0.354947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asignación adecuada de la incógnita.:@0.287499:0.387933:0.558547:0.387933:0.558547:0.371544:0.287499:0.371544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De la condición de que el tiempo de la semicorchea es el doble del de la fusa, :@0.287499:0.411652:0.907718:0.411652:0.907718:0.395263:0.287499:0.395263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
concluimos que::@0.287499:0.428248:0.408882:0.428248:0.408882:0.411859:0.287499:0.411859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tiempo musical de la fusa  .:@0.287499:0.451967:0.491861:0.451967:0.491861:0.435578:0.287499:0.435578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.481192:0.451967:0.488655:0.451967:0.488655:0.435606:0.481192:0.435606:0.000000
Tiempo musical de la semicorchea 2 .:@0.287499:0.475686:0.564407:0.475686:0.564407:0.459297:0.287499:0.459297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.553738:0.475686:0.561201:0.475686:0.561201:0.459325:0.553738:0.459325:0.000000
Ahora, tomemos la condición de la suma de los tiempos musicales, la cual nos :@0.287499:0.499405:0.907626:0.499405:0.907626:0.483016:0.287499:0.483016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permite plantear la ecuación.:@0.287499:0.516001:0.500926:0.516001:0.500926:0.499612:0.287499:0.499612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.291578:0.548550:0.299041:0.548550:0.299041:0.532189:0.291578:0.532189:0.000000
x:@0.326075:0.548550:0.333538:0.548550:0.333538:0.532189:0.326075:0.532189:0.000000
2:@0.315810:0.548550:0.324803:0.548550:0.324803:0.532161:0.315810:0.532161:0.000000
3:@0.353182:0.539588:0.362174:0.539588:0.362174:0.523199:0.353182:0.523199:0.000000
8:@0.352830:0.559040:0.361822:0.559040:0.361822:0.542651:0.352830:0.542651:0.000000
+:@0.302946:0.549221:0.313063:0.549221:0.313063:0.533648:0.302946:0.533648:0.000000
=:@0.337977:0.549221:0.348094:0.549221:0.348094:0.533648:0.337977:0.533648:0.000000
Una vez planteada la ecuación resolvemos.:@0.287495:0.586105:0.601609:0.586105:0.601609:0.569716:0.287495:0.569716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
                                        :@0.287495:0.628896:0.448922:0.628896:0.448922:0.612507:0.287495:0.612507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.461377:0.615067:0.468840:0.615067:0.468840:0.598705:0.461377:0.598705:0.000000
3:@0.451537:0.615067:0.460529:0.615067:0.460529:0.598678:0.451537:0.598678:0.000000
3:@0.488502:0.606105:0.497495:0.606105:0.497495:0.589716:0.488502:0.589716:0.000000
8:@0.488127:0.625556:0.497120:0.625556:0.497120:0.609167:0.488127:0.609167:0.000000
=:@0.473259:0.615744:0.483376:0.615744:0.483376:0.600171:0.473259:0.600171:0.000000
           :@0.502522:0.616325:0.546915:0.616325:0.546915:0.599936:0.502522:0.599936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.555035:0.615067:0.562498:0.615067:0.562498:0.598705:0.555035:0.598705:0.000000
3:@0.590213:0.606105:0.599206:0.606105:0.599206:0.589716:0.590213:0.589716:0.000000
83:@0.581785:0.625556:0.607694:0.625556:0.607694:0.609167:0.581785:0.609167:0.000000:0.000000
=:@0.566917:0.615744:0.577034:0.615744:0.577034:0.600171:0.566917:0.600171:0.000000
⋅:@0.592727:0.626234:0.597334:0.626234:0.597334:0.610661:0.592727:0.610661:0.000000
           :@0.611259:0.616324:0.655651:0.616324:0.655651:0.599935:0.611259:0.599935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.663769:0.615067:0.671233:0.615067:0.671233:0.598705:0.663769:0.598705:0.000000
1:@0.691466:0.606105:0.700459:0.606105:0.700459:0.589716:0.691466:0.589716:0.000000
8:@0.690521:0.625556:0.699514:0.625556:0.699514:0.609167:0.690521:0.609167:0.000000
=:@0.675653:0.615744:0.685770:0.615744:0.685770:0.600171:0.675653:0.600171:0.000000
Es conveniente comprobar el valor obtenido de la incógnita, para ello reemplazamos :@0.287494:0.649062:0.907617:0.649062:0.907617:0.632673:0.287494:0.632673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la ecuación y verificamos la igualdad.:@0.287494:0.665658:0.581171:0.665658:0.581171:0.649269:0.287494:0.649269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.291585:0.698989:0.299048:0.698989:0.299048:0.683596:0.291585:0.683596:0.000000
+:@0.302623:0.699667:0.312740:0.699667:0.312740:0.684094:0.302623:0.684094:0.000000
2:@0.315190:0.698989:0.324183:0.698989:0.324183:0.683319:0.315190:0.683319:0.000000
x:@0.325455:0.698989:0.332918:0.698989:0.332918:0.683596:0.325455:0.683596:0.000000
=:@0.337230:0.699667:0.347347:0.699667:0.347347:0.684094:0.337230:0.684094:0.000000
3:@0.352359:0.690110:0.361352:0.690110:0.361352:0.674440:0.352359:0.674440:0.000000
8:@0.351990:0.709445:0.360983:0.709445:0.360983:0.693775:0.351990:0.693775:0.000000
;:@0.364630:0.698989:0.367837:0.698989:0.367837:0.683319:0.364630:0.683319:0.000000
1:@0.388402:0.690110:0.397394:0.690110:0.397394:0.674440:0.388402:0.674440:0.000000
8:@0.387462:0.709445:0.396455:0.709445:0.396455:0.693775:0.387462:0.693775:0.000000
+:@0.400333:0.699667:0.410450:0.699667:0.410450:0.684094:0.400333:0.684094:0.000000
2:@0.412901:0.698989:0.421893:0.698989:0.421893:0.683319:0.412901:0.683319:0.000000
1:@0.434571:0.690110:0.443564:0.690110:0.443564:0.674440:0.434571:0.674440:0.000000
8:@0.433632:0.709445:0.442624:0.709445:0.442624:0.693775:0.433632:0.693775:0.000000
=:@0.456768:0.699667:0.466885:0.699667:0.466885:0.684094:0.456768:0.684094:0.000000
3:@0.471897:0.690110:0.480890:0.690110:0.480890:0.674440:0.471897:0.674440:0.000000
8:@0.471529:0.709445:0.480522:0.709445:0.480522:0.693775:0.471529:0.693775:0.000000
;:@0.483936:0.698989:0.487142:0.698989:0.487142:0.683319:0.483936:0.683319:0.000000
1 2:@0.509495:0.690110:0.544605:0.690110:0.544605:0.674440:0.509495:0.674440:0.000000:0.000000:0.000000
8 8:@0.508555:0.709445:0.544439:0.709445:0.544439:0.693775:0.508555:0.693775:0.000000:0.000000:0.000000
+ =:@0.521423:0.699667:0.559181:0.699667:0.559181:0.684094:0.521423:0.684094:0.000000:0.000000:0.000000
3:@0.564193:0.690110:0.573186:0.690110:0.573186:0.674440:0.564193:0.674440:0.000000
8:@0.563825:0.709445:0.572817:0.709445:0.572817:0.693775:0.563825:0.693775:0.000000
;:@0.576652:0.698989:0.579858:0.698989:0.579858:0.683319:0.576652:0.683319:0.000000
3:@0.597936:0.690110:0.606928:0.690110:0.606928:0.674440:0.597936:0.674440:0.000000
8:@0.597567:0.709445:0.606560:0.709445:0.606560:0.693775:0.597567:0.693775:0.000000
=:@0.611182:0.699667:0.621299:0.699667:0.621299:0.684094:0.611182:0.684094:0.000000
3:@0.626311:0.690110:0.635304:0.690110:0.635304:0.674440:0.626311:0.674440:0.000000
8:@0.625942:0.709445:0.634935:0.709445:0.634935:0.693775:0.625942:0.693775:0.000000
Como el valor satisface a la ecuación, interpretamos la solución.:@0.287495:0.739420:0.752087:0.739420:0.752087:0.723031:0.287495:0.723031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.287495:0.763139:0.294959:0.763139:0.294959:0.746778:0.287495:0.746778:0.000000
 representa el tiempo de la fusa. :@0.294959:0.763139:0.532159:0.763139:0.532159:0.746750:0.294959:0.746750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entonces, el tiempo de la fusa es :@0.287495:0.796926:0.529799:0.796926:0.529799:0.780537:0.287495:0.780537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.534821:0.786711:0.543814:0.786711:0.543814:0.770322:0.534821:0.770322:0.000000
8:@0.533881:0.806156:0.542874:0.806156:0.542874:0.789767:0.533881:0.789767:0.000000
.:@0.548223:0.793154:0.551429:0.793154:0.551429:0.776766:0.548223:0.776766:0.000000
El tiempo de la semicorchea se obtiene al reemplazar el valor de  en 2 .:@0.287490:0.833221:0.814718:0.833221:0.814718:0.816832:0.287490:0.816832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.757390:0.833221:0.768170:0.833221:0.768170:0.816860:0.757390:0.816860:0.000000:0.000000
x:@0.804048:0.833221:0.811512:0.833221:0.811512:0.816860:0.804048:0.816860:0.000000
2:@0.287490:0.866870:0.296483:0.866870:0.296483:0.850481:0.287490:0.850481:0.000000
x  =:@0.296483:0.866870:0.321563:0.866870:0.321563:0.850509:0.296483:0.850509:0.000000:0.000000:0.000000:0.000000
2:@0.324180:0.866552:0.333173:0.866552:0.333173:0.850882:0.324180:0.850882:0.000000
1:@0.345851:0.857673:0.354843:0.857673:0.354843:0.842003:0.345851:0.842003:0.000000
8:@0.344911:0.877008:0.353904:0.877008:0.353904:0.861338:0.344911:0.861338:0.000000
=:@0.368054:0.867237:0.378171:0.867237:0.378171:0.851664:0.368054:0.851664:0.000000
1:@0.384344:0.857680:0.393337:0.857680:0.393337:0.842011:0.384344:0.842011:0.000000
4:@0.383552:0.877015:0.392545:0.877015:0.392545:0.861345:0.383552:0.861345:0.000000
.:@0.398627:0.849270:0.401834:0.849270:0.401834:0.832881:0.398627:0.832881:0.000000
Por lo tanto, el tiempo musical de la semicorchea es:@0.287490:0.909045:0.666670:0.909045:0.666670:0.892656:0.287490:0.892656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.676310:0.901339:0.685303:0.901339:0.685303:0.884950:0.676310:0.884950:0.000000
4:@0.675526:0.920788:0.684519:0.920788:0.684519:0.904399:0.675526:0.904399:0.000000
.:@0.689137:0.909040:0.692344:0.909040:0.692344:0.892651:0.689137:0.892651:0.000000
Figuras musicales en el :@0.101060:0.200482:0.241790:0.200482:0.241790:0.187073:0.101060:0.187073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pentagrama:@0.164700:0.214061:0.238486:0.214061:0.238486:0.200651:0.164700:0.200651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las figuras musicales :@0.105287:0.311207:0.247716:0.311207:0.247716:0.296308:0.105287:0.296308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indican la duración del :@0.092521:0.326295:0.247716:0.326295:0.247716:0.311396:0.092521:0.311396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sonido. Colocadas en el :@0.087110:0.341382:0.247716:0.341382:0.247716:0.326483:0.087110:0.326483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pentagrama, indican la :@0.091499:0.356470:0.247716:0.356470:0.247716:0.341571:0.091499:0.341571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
altura.:@0.203355:0.371558:0.244047:0.371558:0.244047:0.356659:0.203355:0.356659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las figuras musicales son :@0.077478:0.390203:0.247716:0.390203:0.247716:0.375304:0.077478:0.375304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
redonda :@0.164657:0.405291:0.224932:0.405291:0.224932:0.390392:0.164657:0.390392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.241130:0.423948:0.247714:0.423948:0.247714:0.409049:0.241130:0.409049:0.000000:0.000000
blanca  , negra :@0.123980:0.439036:0.231040:0.439036:0.231040:0.424137:0.123980:0.424137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corchea :@0.161032:0.476339:0.218023:0.476339:0.218023:0.461440:0.161032:0.461440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.241130:0.494991:0.244045:0.494991:0.244045:0.480092:0.241130:0.480092:0.000000
 semicorchea :@0.124902:0.513636:0.217157:0.513636:0.217157:0.498737:0.124902:0.498737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fusa :@0.083918:0.547381:0.114726:0.547381:0.114726:0.532482:0.083918:0.532482:0.000000:0.000000:0.000000:0.000000:0.000000
 y semifusa :@0.141123:0.547381:0.218234:0.547381:0.218234:0.532482:0.141123:0.532482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.241130:0.547381:0.244045:0.547381:0.244045:0.532482:0.241130:0.532482:0.000000
El tiempo musical de :@0.104816:0.566027:0.247714:0.566027:0.247714:0.551128:0.104816:0.551128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estas figuras se mide:@0.106105:0.581114:0.244045:0.581114:0.244045:0.566215:0.106105:0.566215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en pulsos.:@0.177437:0.596202:0.244043:0.596202:0.244043:0.581303:0.177437:0.581303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.100828:0.278765:0.236889:0.278765:0.236889:0.261864:0.100828:0.261864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La etnomatemática es el :@0.082742:0.769896:0.249376:0.769896:0.249376:0.754997:0.082742:0.754997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
área de la educación que :@0.078370:0.784983:0.249378:0.784983:0.249378:0.770084:0.078370:0.770084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
busca reflexionar sobre el :@0.076192:0.800071:0.249376:0.800071:0.249376:0.785172:0.076192:0.785172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocimiento :@0.152147:0.815159:0.249376:0.815159:0.249376:0.800260:0.152147:0.800260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemático que se :@0.116984:0.830246:0.249378:0.830246:0.249378:0.815347:0.116984:0.815347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
genera a partir de la :@0.112293:0.845334:0.249376:0.845334:0.249376:0.830435:0.112293:0.830435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interacción en un grupo :@0.084183:0.860421:0.249376:0.860421:0.249376:0.845522:0.084183:0.845522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cultural en particular. :@0.105642:0.875509:0.249376:0.875509:0.249376:0.860610:0.105642:0.860610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué entiendes por :@0.124573:0.894155:0.248725:0.894155:0.248725:0.879281:0.124573:0.879281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interculturalidad?:@0.133786:0.909242:0.245708:0.909242:0.245708:0.894368:0.133786:0.894368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Cívica:@0.156341:0.737172:0.208440:0.737172:0.208440:0.720271:0.156341:0.720271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.38. :@0.290067:0.962670:0.338404:0.962670:0.338404:0.951915:0.290067:0.951915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver ecuaciones de primer grado con una incógnita en R para resolver problemas sencillos.:@0.338404:0.962670:0.780859:0.962670:0.780859:0.952240:0.338404:0.952240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000