Which ratio is equivalent to 15/48?
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1 point
3/8
5/16
1/8
5/24
To find the ratio that is equivalent to 15/48, you need to simplify the fraction.
The greatest common divisor of 15 and 48 is 3. Dividing both the numerator and denominator by 3 gives us:
15 ÷ 3 = 5
48 ÷ 3 = 16
So, the simplified form of 15/48 is 5/16.
Therefore, the ratio that is equivalent to 15/48 is 5/16.
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
To find the unit rate of miles per gallon, you need to divide the number of miles by the number of gallons.
Lucy can drive 270 miles on a full tank of 18 gallons.
So, the unit rate of miles per gallon is:
270 miles ÷ 18 gallons = 15 miles per gallon.
Therefore, the unit rate of miles per gallon that Lucy gets is 15 miles per gallon.
What is 9/10 ÷ 2/5
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1 point
9/4
18/50
4/9
50/18
To divide fractions, you need to multiply the first fraction (the dividend) by the reciprocal of the second fraction (the divisor).
Reciprocal of 2/5 = 5/2.
So, the division 9/10 ÷ 2/5 can be rewritten as 9/10 x 5/2.
Multiplying the numerators gives us:
9 x 5 = 45
Multiplying the denominators gives us:
10 x 2 = 20
So, 9/10 ÷ 2/5 = 45/20.
To simplify this fraction, we need to divide both the numerator and denominator by their greatest common divisor, which is 5.
Dividing both the numerator and denominator by 5 gives us:
45 ÷ 5 = 9
20 ÷ 5 = 4
So, 9/10 ÷ 2/5 simplifies to 9/4.
Therefore, 9/10 ÷ 2/5 = 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 determine how long it will take Zya to paint the whole wall, we can calculate the unit rate of how much of the wall she can paint per hour.
If Zya completes 2/5 of the wall in 1/2 hour, we can find out how much of the wall she can paint in 1 hour by multiplying 2/5 by 2 (since there are 2 halves in 1 hour):
(2/5) x 2 = 4/5 of the wall per hour
Therefore, Zya can paint 4/5 of the wall in one hour.
To find out how long it will take her to paint the whole wall, we need to divide the whole wall (1 whole) by the rate of painting per hour (4/5):
1 whole wall ÷ (4/5 of the wall per hour) = 1 ÷ (4/5) = 5/4 = 1 1/4 hours
Therefore, it will take Zya 1 1/4 hours to paint the whole wall.
pick one
1 1/4 hours
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
a.3/10 of an hour
b.3/7 of an hour
c.2/10 of an hour
d.4/5 of an hour