50:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.589195:0.236739:0.589195:0.236739:0.555248:0.175844:0.555248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Emplea modelos cuadráticos para resolver problemas. (Ref. I.M.5.3.2.):@0.256865:0.577221:0.575322:0.577221:0.575322:0.566791:0.256865:0.566791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.630432:0.133950:0.630432:0.133950:0.613296:0.115209:0.613296:0.000000:0.000000:0.000000
Desarrolla:@0.148452:0.630432:0.225848:0.630432:0.225848:0.613808:0.148452:0.613808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los siguientes problemas.:@0.225848:0.630432:0.414691:0.630432:0.414691:0.614043:0.225848:0.614043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un modelo cuadrático emplea una función cuadrática de la forma  ( ) = :@0.115209:0.166494:0.654050:0.166494:0.654050:0.150105:0.115209:0.150105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.612145:0.166494:0.629191:0.166494:0.629191:0.150133:0.612145:0.150133:0.000000:0.000000:0.000000
ax:@0.654971:0.166494:0.671703:0.166494:0.671703:0.150133:0.654971:0.150133:0.000000:0.000000
2:@0.671777:0.160452:0.677020:0.160452:0.677020:0.150897:0.671777:0.150897:0.000000
 +   +   para modelar una :@0.677019:0.166499:0.883906:0.166499:0.883906:0.150110:0.677019:0.150110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bx:@0.697916:0.166499:0.714482:0.166499:0.714482:0.150138:0.697916:0.150138:0.000000:0.000000
c:@0.735398:0.166499:0.743063:0.166499:0.743063:0.150138:0.735398:0.150138:0.000000
situación real o hipotética. El gráfico de esta función es una parábola. Al llegar a la solución del modelo :@0.115215:0.183096:0.883852:0.183096:0.883852:0.166707:0.115215:0.166707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se obtienen dos valores, de los cuales se deben tomar en cuenta aquellos que satisfagan las condiciones :@0.115215:0.199692:0.884026:0.199692:0.884026:0.183303:0.115215:0.183303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del problema.:@0.115215:0.216288:0.217008:0.216288:0.217008:0.199900:0.115215:0.199900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.248964:0.272331:0.248964:0.272331:0.230527:0.115209:0.230527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Modelos matemáticos con funciones cuadráticas:@0.115891:0.141978:0.839996:0.141978:0.839996:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.31. Resolver (con o sin el uso de la tecnología) problemas o situaciones, reales o hipotéticas, que pueden ser modelizados con funciones cuadráticas, :@0.125388:0.069719:0.877711:0.069719:0.877711:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
identificando las variables significativas presentes y las relaciones entre ellas; juzgar la pertinencia y validez de los resultados obtenidos.:@0.125388:0.080280:0.752827:0.080280:0.752827:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
15:@0.048404:0.122645:0.082107:0.122645:0.082107:0.065614:0.048404:0.065614:0.000000:0.000000
Compró 12 sacos y le costaron $ 20 cada uno.:@0.115209:0.533907:0.449260:0.533907:0.449260:0.517518:0.115209:0.517518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Descartamos:@0.635476:0.444189:0.735721:0.444189:0.735721:0.427565:0.635476:0.427565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.735721:0.444189:0.739757:0.444189:0.739757:0.427800:0.735721:0.427800:0.000000
la respuesta :@0.635476:0.460786:0.726693:0.460786:0.726693:0.444397:0.635476:0.444397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
negativa.:@0.635476:0.477382:0.702129:0.477382:0.702129:0.460993:0.635476:0.460993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Precio de cada saco:@0.115209:0.500631:0.256107:0.500631:0.256107:0.484242:0.115209:0.484242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
240:@0.266039:0.448926:0.292612:0.448926:0.292612:0.433256:0.266039:0.433256:0.000000:0.000000:0.000000
240:@0.314036:0.448926:0.340608:0.448926:0.340608:0.433256:0.314036:0.433256:0.000000:0.000000:0.000000
3:@0.335308:0.468371:0.344301:0.468371:0.344301:0.452701:0.335308:0.452701:0.000000
4:@0.359799:0.457445:0.368791:0.457445:0.368791:0.441775:0.359799:0.441775:0.000000
4:@0.393879:0.457445:0.402872:0.457445:0.402872:0.441775:0.393879:0.441775:0.000000
12 –720 0:@0.433718:0.457445:0.526563:0.457445:0.526563:0.441775:0.433718:0.441775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12:@0.588320:0.444915:0.606103:0.444915:0.606103:0.429245:0.588320:0.429245:0.000000:0.000000
–15:@0.595175:0.467984:0.622171:0.467984:0.622171:0.452314:0.595175:0.452314:0.000000:0.000000:0.000000
240:@0.278717:0.492145:0.305290:0.492145:0.305290:0.476476:0.278717:0.476476:0.000000:0.000000:0.000000
240:@0.323782:0.492145:0.350355:0.492145:0.350355:0.476476:0.323782:0.476476:0.000000:0.000000:0.000000
12:@0.327761:0.511593:0.345544:0.511593:0.345544:0.495924:0.327761:0.495924:0.000000:0.000000
$ 20:@0.366607:0.500671:0.396220:0.500671:0.396220:0.485001:0.366607:0.485001:0.000000:0.000000:0.000000:0.000000
.:@0.375397:0.500671:0.378603:0.500671:0.378603:0.485001:0.375397:0.485001:0.000000
2:@0.413984:0.449790:0.419196:0.449790:0.419196:0.440709:0.413984:0.440709:0.000000
1:@0.568679:0.446921:0.573891:0.446921:0.573891:0.437839:0.568679:0.437839:0.000000
2:@0.572449:0.469989:0.577661:0.469989:0.577661:0.460908:0.572449:0.460908:0.000000
=:@0.296979:0.458129:0.307096:0.458129:0.307096:0.442556:0.296979:0.442556:0.000000
+:@0.323165:0.469055:0.333281:0.469055:0.333281:0.453482:0.323165:0.453482:0.000000
+ ⇒:@0.346936:0.458129:0.390260:0.458129:0.390260:0.442556:0.346936:0.442556:0.000000:0.000000:0.000000
+:@0.422748:0.458129:0.350659:0.458129:0.350659:0.442556:0.422748:0.442556:0.000000
=:@0.504942:0.458129:0.432853:0.458129:0.432853:0.442556:0.504942:0.442556:0.000000
⇒ ⎨:@0.529499:0.458129:0.559702:0.458419:0.559702:0.442847:0.529499:0.442556:0.000000:0.000000:0.000000
=:@0.576821:0.445599:0.586938:0.445599:0.586938:0.430026:0.576821:0.430026:0.000000
=:@0.582165:0.468668:0.592282:0.468668:0.592282:0.453095:0.582165:0.453095:0.000000
⎧:@0.550599:0.444506:0.559702:0.444506:0.559702:0.428933:0.550599:0.428933:0.000000
⎪:@0.550599:0.447936:0.559702:0.447936:0.559702:0.432363:0.550599:0.432363:0.000000
⎩:@0.550599:0.472692:0.559702:0.472692:0.559702:0.457119:0.550599:0.457119:0.000000
⎪:@0.550599:0.470065:0.559702:0.470065:0.559702:0.454492:0.550599:0.454492:0.000000
=:@0.264602:0.501376:0.229644:0.501376:0.229644:0.485804:0.264602:0.485804:0.000000
=:@0.309676:0.501376:0.274718:0.501376:0.274718:0.485804:0.309676:0.485804:0.000000
=:@0.354750:0.501376:0.319792:0.501376:0.319792:0.485804:0.354750:0.485804:0.000000
x:@0.275750:0.468405:0.283214:0.468405:0.283214:0.453012:0.275750:0.453012:0.000000
x:@0.312606:0.468405:0.320069:0.468405:0.320069:0.453012:0.312606:0.453012:0.000000
x:@0.404891:0.457479:0.412354:0.457479:0.412354:0.442086:0.404891:0.442086:0.000000
x:@0.452785:0.457479:0.460248:0.457479:0.460248:0.442086:0.452785:0.442086:0.000000
x:@0.561213:0.444949:0.568676:0.444949:0.568676:0.429556:0.561213:0.429556:0.000000
x:@0.564309:0.468018:0.571772:0.468018:0.571772:0.452625:0.564309:0.452625:0.000000
x:@0.288393:0.511593:0.295857:0.511593:0.295857:0.496200:0.288393:0.496200:0.000000
a) :@0.148595:0.657247:0.167317:0.657247:0.167317:0.640346:0.148595:0.640346:0.000000:0.000000:0.000000
La longitud de un terreno rectangular es :@0.181838:0.657247:0.491568:0.657247:0.491568:0.640858:0.181838:0.640858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el doble que el ancho. Si la longitud se  :@0.181838:0.673843:0.491607:0.673843:0.491607:0.657454:0.181838:0.657454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aumenta en 40 metros y el ancho en 6 :@0.181838:0.690439:0.491642:0.690439:0.491642:0.674050:0.181838:0.674050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
metros, el área se duplica. :@0.181838:0.707036:0.370795:0.707036:0.370795:0.690647:0.181838:0.690647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Halla:@0.370058:0.707036:0.408535:0.707036:0.408535:0.690412:0.370058:0.690412:0.000000:0.000000:0.000000:0.000000:0.000000
 las dimen-:@0.408535:0.707036:0.487553:0.707036:0.487553:0.690647:0.408535:0.690647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siones del terreno.:@0.181838:0.723632:0.315805:0.723632:0.315805:0.707243:0.181838:0.707243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148595:0.825478:0.152630:0.825478:0.152630:0.809090:0.148595:0.809090:0.000000
b) :@0.148595:0.852777:0.168625:0.852777:0.168625:0.835876:0.148595:0.835876:0.000000:0.000000:0.000000
Una persona vende una camiseta por :@0.181838:0.852777:0.491625:0.852777:0.491625:0.836388:0.181838:0.836388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.487571:0.852777:0.491607:0.852777:0.491607:0.836388:0.487571:0.836388:0.000000
$ 24, perdiendo un porcentaje sobre el :@0.181838:0.869373:0.491625:0.869373:0.491625:0.852984:0.181838:0.852984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
costo de la camiseta igual al número de :@0.181838:0.885970:0.491642:0.885970:0.491642:0.869581:0.181838:0.869581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dólares que le costó la camiseta. ¿Cuánto :@0.181838:0.902566:0.491623:0.902566:0.491623:0.886177:0.181838:0.886177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
le costó la camiseta?:@0.181838:0.919162:0.331763:0.919162:0.331763:0.902774:0.181838:0.902774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540919:0.736893:0.544955:0.736893:0.544955:0.720504:0.540919:0.720504:0.000000
c) :@0.540917:0.766702:0.558553:0.766702:0.558553:0.749802:0.540917:0.749802:0.000000:0.000000:0.000000
La suma de dos números es 9 y la suma :@0.574161:0.766702:0.883911:0.766702:0.883911:0.750313:0.574161:0.750313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de sus cuadrados es 53. :@0.574161:0.783299:0.768241:0.783299:0.768241:0.766910:0.574161:0.766910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encuentra:@0.771742:0.783299:0.851220:0.783299:0.851220:0.766674:0.771742:0.766674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los :@0.851405:0.783299:0.883929:0.783299:0.883929:0.766910:0.851405:0.766910:0.000000:0.000000:0.000000:0.000000:0.000000
números.:@0.574161:0.799895:0.644057:0.799895:0.644057:0.783506:0.574161:0.783506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540917:0.901741:0.544953:0.901741:0.544953:0.885352:0.540917:0.885352:0.000000
Shutterstock, 1288864738.:@0.899981:0.555049:0.899981:0.462929:0.886085:0.462929:0.886085:0.555049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.115209:0.329943:0.184423:0.329943:0.184423:0.313043:0.115209:0.313043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.115209:0.353662:0.122672:0.353662:0.122672:0.337301:0.115209:0.337301:0.000000
:  el número de sacos que compró:@0.122672:0.353662:0.371828:0.353662:0.371828:0.337274:0.122672:0.337274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si compró   sacos por $ 240, cada saco le costó:@0.115209:0.377381:0.452287:0.377381:0.452287:0.360992:0.115209:0.360992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.192494:0.377381:0.199958:0.377381:0.199958:0.361020:0.192494:0.361020:0.000000
x:@0.137721:0.413714:0.145184:0.413714:0.145184:0.397352:0.137721:0.397352:0.000000
$:@0.117041:0.402790:0.126034:0.402790:0.126034:0.386401:0.117041:0.386401:0.000000
240:@0.128042:0.394271:0.154615:0.394271:0.154615:0.377882:0.128042:0.377882:0.000000:0.000000:0.000000
Si hubiera comprado 3 sacos más,   + 3, por el mismo :@0.499709:0.352711:0.884097:0.352711:0.884097:0.336322:0.499709:0.336322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.745663:0.352711:0.753126:0.352711:0.753126:0.336349:0.745663:0.336349:0.000000
 :@0.880056:0.352711:0.884092:0.352711:0.884092:0.336322:0.880056:0.336322:0.000000
dinero, cada saco saldría a $:@0.499709:0.378352:0.704858:0.378101:0.704858:0.361712:0.499709:0.361963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.718900:0.389702:0.729017:0.389702:0.729017:0.374129:0.718900:0.374129:0.000000
x:@0.708322:0.389024:0.715786:0.389024:0.715786:0.372663:0.708322:0.372663:0.000000
240:@0.709797:0.369581:0.736369:0.369581:0.736369:0.353192:0.709797:0.353192:0.000000:0.000000:0.000000
3:@0.731045:0.389024:0.740038:0.389024:0.740038:0.372635:0.731045:0.372635:0.000000
, según :@0.742407:0.378101:0.798851:0.378350:0.798851:0.361961:0.742407:0.361712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las condiciones el precio de cada uno de estos sacos :@0.499696:0.402069:0.884023:0.402069:0.884023:0.385680:0.499696:0.385680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hubiera costado $ 4 menos que los sacos anteriores.:@0.499696:0.418665:0.880043:0.418665:0.880043:0.402276:0.499696:0.402276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pablo compró cierto número de sacos de papas por $ 240. Si hubiera comprado  :@0.115209:0.269696:0.714660:0.269696:0.714660:0.253307:0.115209:0.253307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 sacos más por el mismo dinero, cada saco le habría costado $ 4 menos. ¿Cuántos :@0.115209:0.286292:0.714735:0.286292:0.714735:0.269904:0.115209:0.269904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sacos compró? ¿Cuánto le costó cada saco?:@0.115209:0.302889:0.434095:0.302889:0.434095:0.286500:0.115209:0.286500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
www.freepik.es,  :@0.893842:0.325434:0.893842:0.266687:0.879946:0.266687:0.879946:0.325434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Longitud 60 metros.:@0.210329:0.756517:0.357877:0.756517:0.357877:0.740128:0.210329:0.740128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ancho 30 metros.:@0.210329:0.779143:0.339578:0.779143:0.339578:0.762754:0.210329:0.762754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La camiseta le costó  $ 60.:@0.603777:0.667104:0.793322:0.667104:0.793322:0.650715:0.603777:0.650715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los números son 7 y 2.:@0.604680:0.854186:0.770933:0.854186:0.770933:0.837797:0.604680:0.837797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000