Teresa runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?

Question

Teresa runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?

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Acacia 5 years 2021-08-27T20:13:23+00:00 2 Answers 22 views 0

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    2021-08-27T20:14:34+00:00

    Answer:

    She would run about 5.8 miles in 64 min.

    Step-by-step explanation:

    Let m= miles per minute

    7=80m divide 80 on both sides.

    0.0875=m Round

    0.09 miles per minute

    0.09 x 64= 5.76 round or leave it like that

    5.8

    0
    2021-08-27T20:15:18+00:00

    Answer:

    \boxed {\tt 5.6 \ miles}

    Step-by-step explanation:

    Let’s set up a proportion using the following setup:

    \frac{miles}{minutes}= \frac{miles}{minutes}

    We know Teresa can run 7 miles in 80 minutes.

    \frac{7 \ miles}{80 \ minutes}=\frac{miles}{minutes}

    We don’t know how many miles she can run in 64 minutes. Therefore, she can run x miles in 64 minutes.

    \frac{7 \ miles}{80 \ minutes}=\frac{x \ miles}{64 \ minutes}

    \frac{7}{80} =\frac{x}{64}

    We want to solve for x ( miles in 64 minutes). We must isolate x on one side of the proportion. x is being divided by 64 and the inverse of division is multiplication. Multiply both sides of the equation by 64.

    64*\frac{7}{80} =\frac{x}{64}*64

    64*\frac{7}{80} =x

    64*0.0875=x

    5.6=x

    x= 5.6 miles

    Teresa can run 5.6 miles in 64 minutes.

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