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the formula a= d/g gives the average gas milege a of a vehicle that uses g gallsons of gas to travel d miles. use the formula to find how many gallons of gas a vehicle with average gas mileage of 20.2 miles per gallon will use to travel 75 miles. round your answer to the nearest tenth.

Verified Answer :

nthreadgill

Use the formula to plug in the values you do know and solve for the variable you don't. 

Avg. gas mileage = miles / gallons

20.2 = 75 / x
20.2x = 75
x = 75/20.2
x = 3.7 gallons

JeanaShupp

Answer: 3.7 gallons

Step-by-step explanation:

Given : The formula \(a=\dfrac{d}{g}\) gives the average gas mileage a of a vehicle that uses 'g' gallons of gas to travel 'd' miles.

The average gas mileage : a =20.2 miles per gallon

Distance : d=75 miles.

To find : g

Substitute all the values in the above formula , we get

\(20.2=\dfrac{75}{g}\\\\\Rightarrow\ g=\dfrac{75}{20.2}=3.71287128713approx3.7\ \ \ \text{ Rounded o the nearest tenth}\)

Hence, the required amount of gas = 3.7 gallons

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