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lisabon 2012 [21]
3 years ago
14

What is the relationship between the ratios? 10/24 and 5/12 Drag and drop to complete the statement.

Mathematics
2 answers:
Temka [501]3 years ago
8 0
The ratios are equal

If you divide the first ratio (10/24) by 2 you get 5/12 which is equal to the second ratio

Thus the ratios are proportional

I hope this helps!
IRISSAK [1]3 years ago
6 0
They're actually the same ratio. If you simplify 10/24 by dividing both by two, it is 5/12. Hope this helps!
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Answer:

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4 years ago
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Given that (7x-8)/(2x-1)(x-2) <br><br> Use Partial Fraction Decomposition to Find A and B.
koban [17]

We look for constants <em>a</em> and <em>b</em> such that

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Rewrite all terms with a common denominator and set the numerators equal:

\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac{a(x-2)}{(2x-1)(x-2)} + \frac{b(2x-1)}{(x-2)(2x-1)} \\\\ \frac{7x-8}{(2x-1)(x-2)} = \frac{a(x-2)+b(2x-1)}{(2x-1)(x-2)} \\\\ \implies 7x-8 = a(x-2) + b(2x-1) = (a+2b)x - 2a - b

Then

<em>a</em> + 2<em>b</em> = 7

-2<em>a</em> - <em>b</em> = -8

Solve for <em>a</em> and <em>b</em>. Using elimination: multiply the first equation by 2 and add it to the second equation:

2 (<em>a</em> + 2<em>b</em>) + (-2<em>a</em> - <em>b</em>) = 2(7) + (-8)

2<em>a</em> + 4<em>b</em> - 2<em>a</em> - <em>b</em> = 14 - 8

3<em>b</em> = 6

<em>b</em> = 2

Then

<em>a</em> + 2(2) = 7   ==>   <em>a</em> = 3

and so

\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac 3{2x-1} + \frac 2{x-2}

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3 years ago
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Answer:

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Step-by-step explanation:

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