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borishaifa [10]
3 years ago
10

Martina walked 3/4 of a mile in 1/5 of an hour. At this rate , how far can Martina walk in one hour?

Mathematics
1 answer:
Lapatulllka [165]3 years ago
4 0
Hey there!


To make this easier, we need to transform the numbers in decimal

3/4 = 0.75

1/5 = 0.2

So Martina walks 0.75 miles in 0.2 hour. They want us to find how far will she wake in 1 hour.

So we say:

0.75......>0.2 hr
x...........1 hr

Cross multiply

0.2 * x = 1 * 0.75

0.2x = 0.75

x = 0.75/0.2

x = 3.75

Martina will work 3.75 miles in one hour.

I hope this helps!
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Simplifying

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Reorder the terms:

3(-2 + m) + -5 = 8 + -2(m + -4)

(-2 * 3 + m * 3) + -5 = 8 + -2(m + -4)

(-6 + 3m) + -5 = 8 + -2(m + -4)

Reorder the terms:

-6 + -5 + 3m = 8 + -2(m + -4)

Combine like terms: -6 + -5 = -11

-11 + 3m = 8 + -2(m + -4)

Reorder the terms:

-11 + 3m = 8 + -2(-4 + m)

-11 + 3m = 8 + (-4 * -2 + m * -2)

-11 + 3m = 8 + (8 + -2m)

Combine like terms: 8 + 8 = 16

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Solving

-11 + 3m = 16 + -2m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '2m' to each side of the equation.

-11 + 3m + 2m = 16 + -2m + 2m

Combine like terms: 3m + 2m = 5m

-11 + 5m = 16 + -2m + 2m

Combine like terms: -2m + 2m = 0

-11 + 5m = 16 + 0

-11 + 5m = 16

Add '11' to each side of the equation.

-11 + 11 + 5m = 16 + 11

Combine like terms: -11 + 11 = 0

0 + 5m = 16 + 11

5m = 16 + 11

Combine like terms: 16 + 11 = 27

5m = 27

Divide each side by '5'.

m = 5.4

Simplifying

m = 5.4

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