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tigry1 [53]
3 years ago
13

. If a car can travel 38 miles on 2.4 gallons of gas, how many miles could the car travel on 6 gallons of gas?

Mathematics
1 answer:
lilavasa [31]3 years ago
6 0

Answer:

About 95 miles

Step-by-step explanation:

Let's set up a proportion using the following set up:

miles / gallons = miles / gallons

We know the car can travel 38 miles on 2.4 gallons of gas.

38 miles / 2.4 gallons = miles/ gallons

We don't know how far the car can travel on 6 gallons. Therefore, we can say the car travels x miles on 6 gallons of gas.

38 miles / 2.4 gallons = x miles /6 gallons

38/2.4=x/6

We want to find x (miles for 6 gallons). Therefore, we must isolate x.

x is being divided by 6. The inverse of division is multiplication. Multiply both sides by 6.

6*(38/2.4)=(x/6)*6

6*(38/2.4)=x

6*15.8333333=x

94.9999998=x

Let's round to the nearest whole number. The 9 in the tenth place tells us to round up.

95 ≈x

x ≈95 miles

The car can travel about 95 miles on 6 gallons of gas.

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OverLord2011 [107]

<u>L</u><u>a</u><u>w</u><u> </u><u>o</u><u>f</u><u> </u><u>E</u><u>x</u><u>p</u><u>o</u><u>n</u><u>e</u><u>n</u><u>t</u>

\displaystyle \large{ {a}^{ - n}  =  \frac{1}{ {a}^{n} } }

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