Lucy bought a new car that has a 18 gallon gas tank. If she can drive 270 miles on a full tank of gas, what is the unit rate of miles per gallon he gets?

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1 point
18 miles per gallon
252 miles per gallon
15 miles per gallon
288 miles per gallon

5 answers

To find the unit rate of miles per gallon, divide the number of miles driven by the number of gallons used.

270 miles / 18 gallons = 15 miles per gallon

Therefore, the unit rate of miles per gallon Lucy gets is 15 miles per gallon.
What is 9/10 ÷ 2/5
To divide fractions, you need to multiply the first fraction by the reciprocal (or multiplicative inverse) of the second fraction.

So, in this case, the division problem 9/10 ÷ 2/5 becomes 9/10 * 5/2.

Multiplying the numerators (9 * 5) and denominators (10 * 2), we get:

45/20.

However, this fraction can be simplified by finding a common factor of both the numerator and the denominator.

The greatest common factor of 45 and 20 is 5. By dividing both the numerator and denominator by 5, we get:

9/4.

Therefore, 9/10 ÷ 2/5 is equal to 9/4.
Zya wants to paint her bedroom wall. If she completes 2/5 of the wall in 1/2 hour, how long will it take her to paint the whole wall?
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2 points
3/10 of an hour
3/7 of an hour
2/10 of an hour
4/5 of an hour
To find out how long it will take Zya to paint the whole wall, we need to find the reciprocal of 2/5 (since 2/5 represents the fraction of the wall she completes in 1/2 hour).

The reciprocal of 2/5 is 5/2.

To find the time it will take Zya to paint the whole wall, we multiply the reciprocal by 1/2 hour:

5/2 * 1/2 = 5/4.

Therefore, it will take Zya 5/4 of an hour to paint the whole wall. This can also be represented as 1 1/4 hours or 1 hour and 15 minutes.