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3 years ago

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Express your ratio in simplest form : 85 out of 102

2 answers:

Artist 52 [7]3 years ago

3 0

5:6 Hope this helps you!!

SVEN [57.7K]3 years ago

3 0

Our current ratio is:
85 : 102
To put this ratio in simplest form, we need to check all the factors of each number and see if there is a number in common.
Let's factor 85.
85 = 1 x 85, 5 x 17.
Let's factor 102.
102 = 1 x 102, 2 x 51, 3 x 34, 6 x 17.
These two numbers have 17 as the greatest number in common.
Divide both numbers by 17 to find the ratio in simplest form.
85 / 17 = 5
102 / 17 = 6.
Your simplified ratio is 5 : 6.
I hope this helps!

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Answer:

C. 15

Step-by-step explanation:

1. First, let's solve the system of equations; $-m - n = 5, m - n = -3$

Solve -m - n = 5 for m.

$-m -n = 5$
$-m-n+n=5+n$
$-m = n + 5$
$\frac{-m}{-1} = \frac{n+5}{-1}$
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Substitute -n - 5 for m in m - n = -3.

$m - n = -3$
$-n - 5 - n = -3$
$-2n-5=-3$
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Substitute -1 for n in m = -n - 5.

$m = -n - 5$
$m = -(-1) - 5$
$m = 1 - 5$
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2. Okay, now that we know m = -4 and n = -1, let's solve for m^2 -n^2.

$m^2-n^2$
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