I’m struggling to answer this question on my test, can someone explain it to me?

Mathematics

1 answer:

Flauer [41]2 years ago

4 0

Correct answer is Option A: 18/48 = 21/56

You’ll have to divide the numerator by the denominator of each fraction to see whether they have the same quotient:

18/48 = 0.375
21/56 = 0.375

The other options are not proportional.

B) 20/28 = 15/18:

20/28 = 0.714
15/18 = 0.833

Thus, 20/28 ≠ 15/18

C). 3/5 = 13/10
3/5 = 0.6
13/10 = 1.3

Hence, 3/5 ≠ 13/10

D) 7/10 = 10/7
7/10 = 0.7
10/7 = 1.43

Thus, 7/10 ≠ 10/7

These solutions prove that the correct answer is A) 18/48 = 21/56

Please mark my answers as the Briainliest if you find my explanations helpful :)

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Step-by-step explanation:

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Select the graph for the solution of the open sentence. Click until the correct graph appears. |x| > 3/2

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ANSWER

See attachment

EXPLANATION

The given inequality is

$|x| \: > \: \frac{3}{2}$

This implies that,

$x\: > \: \frac{3}{2} \: or \: - x\: > \: \frac{3}{2}$

Multiply both sides of the second inequality by -1 and reverse the inequality sign.

$x\: > \: \frac{3}{2} \: or \: x\: < \: - \frac{3}{2}$

The graphical solution to this inequality is shown in the attachment.