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DedPeter [7]
4 years ago
14

If the lake is 60 miles away and she is driving 40mph how long would it take her to get there

Mathematics
1 answer:
ahrayia [7]4 years ago
3 0

It will take her 1.5 hours to get there.

60/40= 1.5 hours

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Answer:

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Step-by-step explanation:

Podemos estimar la proporción de ingredientes mediante el siguiente promedio ponderado:

0.34= \frac{0.2\cdot m_{A} + 0.4\cdot m_{B}}{m_{A}+m_{B}} (1)

Donde:

m_{A} - Masa de la solución al 20 %, en onzas.

m_{B} - Masa de la solución al 40 %, en onzas.

Podemos simplificar la formula como sigue:

0.2\cdot x + 0.4\cdot (1-x) = 0.34 (2)

Donde x es la proporción de la solución al 20 % dentro de la solución final, sin unidades.

Ahora resolvemos para x en (2):

0.4-0.2\cdot x = 0.34

0.2\cdot x = 0.06

x = \frac{0.06}{0.2}

x = 0.3

Este resultado quiere decir que la solución al 34 % es el resultado de 30 % de la solución al 20 % y 70 % de la solución al 40 %. Si conocemos que la solución final tiene una masa de 50 onzas, entonces las cantidades empleadas para su preparación son: 15 onzas de solución al 20 % y 35 onzas de solución al 40 %.

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