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saul85 [17]
3 years ago
10

A car is driven 402.5 miles on 11.5 gallons of gas. Find the number of miles traveled per gallon of gas

Mathematics
2 answers:
ddd [48]3 years ago
8 0

Answer:

I believe it's 35 miles per gallon of gas

Mnenie [13.5K]3 years ago
5 0

Answer:

35 miles per gallon

Step-by-step explanation:

Here we know that the car driven 402.5 miles on 11.5 gallons of gas, so we can write the following equivalence:

402.5 m = 11.5 g

With m being miles and g gallons.

We want to know the equivalent of miles for 1 gallon. So, lets take the equivalence and divide it by 11.5

402.5/11.5 m = 11.5/11.5 g

35 m = 1g

So, each gallon permits to travel 35 miles. If you want to verify it, just multiply 11.5 (the gallons) g by the number of miles, 35:

11.5 * 35 = 402.5

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Given:

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Law of Cosines:

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Substituting the given values, we get

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Taking cos inverse on both sides, we get

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