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Veronika [31]
3 years ago
15

In an endurance race, Rachel ran

Mathematics
1 answer:
Reil [10]3 years ago
3 0

Answer:

31\frac{1}{5}\ miles

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

so

The distance is equal to multiply the speed by the time

we have

speed=9\frac{3}{5}\ \frac{miles}{hour}

time=3\frac{1}{4}\ hours

distance=(9\frac{3}{5})(3\frac{1}{4})

Convert mixed number to an improper fraction

9\frac{3}{5}=9+\frac{3}{5}=\frac{9*5+3}{5}=\frac{48}{5}

3\frac{1}{4}=3+\frac{1}{4}=\frac{3*4+1}{4}=\frac{13}{4}

substitute

distance=(\frac{48}{5})(\frac{13}{4})=\frac{624}{20}=31,2\ miles

Convert to mixed number

31.2\ mi=31+0.2=31+\frac{1}{5}=31\frac{1}{5}\ miles

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