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Simora [160]
3 years ago
5

yesterday grace drove 28 1/2 miles she used 1/4 gallons of gasoline.what is the unit rate for miles per gallon

Mathematics
2 answers:
Verizon [17]3 years ago
8 0

MPG= 30 4/5 or 30.8 is I think is the answer.

aleksandrvk [35]3 years ago
4 0

Answer:

unit\ rate=114 \frac{miles}{gallon}

Step-by-step explanation:

Hello, I think I can help you with this

remember some properties of mixed numbers

a\frac{b}{c}=\frac{(a*c)+b}{c}\\ example\\3\frac{1}{5}= \frac{(3*5)+1}{5}=\frac{16}{5}\\

Step 1

covert 28 1/2

a=28

b=1

c=2

a\frac{b}{c}=\frac{(a*c)+b}{c}\\28\frac{1}{2}= \frac{(28*2)+1}{2}=\frac{57}{2}=28.5\\

Hence, the distance she drove is 28.5 miles

Step 2

find the  number of gallons

\frac{1}{4}=0.25

then, she used 0.25 gallons to travel 28.5 miles

Step 3

find the unit rate for miles per gallon

unit\ rate=\frac{number\ of\ miles}{number\ of\ gallons}\\ unit\ rate=\frac{28.5\ miles}{0.25\ gallons}\\unit\ rate=114 \frac{miles}{gallon}

Have a great day.

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