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Pavlova-9 [17]
3 years ago
6

For what values of a is the sum of the fractions 2a−1/4 and a−1/3 positive?

Mathematics
1 answer:
Elenna [48]3 years ago
3 0

\left(2a-\dfrac{1}{4}\right)+\left(a-\dfrac{1}{3}\right) > 0\\\\(2a+a)-\dfrac{1}{4}-\dfrac{1}{3} > 0\\\\3a-\dfrac{1}{4}-\dfrac{1}{3} > 0\qquad|\cdot12\\\\12(3a)-12\left(\dfrac{1}{4}\right)-12\left(\dfrac{1}{3}\right) > 0\\\\36a-3-4 > 0\\\\36a-7 > 0\qquad|+7\\\\36a > 7\qquad|:36\\\\a > \dfrac{7}{36}

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^^^^^^^^^^^^^^^^^^^^
tangare [24]

<u>Answer:</u>

The correct answer option is B. 21.

<u>Step-by-step explanation:</u>

We are given a figure where the line KL is intersecting another line MN such that angle from K to N is equal to the angle opposing it which is the angle measuring (5x).

Measure of angle K - N = 90° + 15° = 105°

Since angle K - N = angle M - L, we can write it as:

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we have

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y ----> number of scarves they sold

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x=20

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y=x+10

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therefore

The answer is

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