Question

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
Answer
What is 9/10 ÷ 2/5
Answer
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
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.