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Umnica [9.8K]
3 years ago
12

A runner warmed up for 10 minutes and then takes seven minutes to run each mile. The total time after r miles is 45 minutes how

many miles are run
Mathematics
1 answer:
scoundrel [369]3 years ago
7 0
So our equation to find this can be represented by 7x + 10 = 45.
(x representing miles run)
Just solve for x!

Subtract the 10 from both sides, you've got
 7x = 35
And now to isolate the x, we divide both sides by 7.
Now we're left with just
x = 5!

We can check this by substituting 5 as x in our equation.
7x x 5 + 10 = 45
45 = 45
It's right!

So the runner ran 5 miles total.

Hope this helps!
If I skimmed over this too much, let me know and I'll try to explain the best that I can.
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Identify the property used in the first four steps to solve the equation 4(x-7)=2x-6
myrzilka [38]

Answer:

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distributive law

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Step-by-step explanation:

Given in the question an equation

4(x-7) = 2x-6

Distributive law

a(b+c) = ab +ac

4x - 4(7) = 2x - 6

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Use the addition property of equality to reduce the 2x on the right.

4x - 2x - 28 = 2x - 2x -6

4x -2x -28 = -6

Use the addition property of equality to reduce -28 to zero on the left.

4x - 2x- 28 + 28 = -6 + 28

2x = 22

Use the multiplication property of equality to reduce 2x to just x

2x2 = 22/22

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x = 11

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3 years ago
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2.8

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