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Goshia [24]
2 years ago
5

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

Mathematics
2 answers:
andreev551 [17]2 years ago
7 0

Answer:

5.6 miles.

Step-by-step explanation:

7/80=x/64 is our equation

Cross multiply to solve for x

x=7*64/80

x=5.6mi

Hope this helps ^-^

baherus [9]2 years ago
3 0

Answer:

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 Maya can run 7 miles in 80 minutes.

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

We don't know how many miles she can run in 64 minutes. Let's say she can run x miles in 64 minutes.

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

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

We want to solve for x (miles in 64 minutes). Therefore, we must isolate x on one side of the equation.

x is being divided by 64. 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

Maya can run 5.6 miles in 64 minutes.

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Using compound interest and a graphing calculator, it is found that it will take about 15 years for the loan to be paid off.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

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For this problem, the parameters are given as follows:

A(0) = 95000, r = 0.06, n = 12.

Hence the value of the loan after t years is:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

A(t) = 95000\left(1 + \frac{0.06}{12}\right)^{12t}

A(t) = 95000(1.005)^{12t}

You have monthly payments of $1,200, hence the amount paid after t years is:

P(t) = 12 x 1,200t = 14400t

Then we have to solve for:

A(t) = P(t)

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Which is solved in the graph below, meaning that it will take about 15 years for the loan to be paid off.

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

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1 year ago
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The required system of linear equations is y = -4x + 1 and y = 5x - 8.

Given that,
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Equation of line 1
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Similarly, the equation of line 2 is given as y = 5x - 8.

Thus, the required system of linear equations is y = -4x + 1 and y = 5x - 8.

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brainly.com/question/2696693

#SPJ1






3 0
1 year ago
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