Mathematics, 18.10.2019 10:30 gmanbom

How do you identify equivalent ratios

Answers: 2

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Answer from: kratose

You can find equivalent ratios by multiplying or dividing both sides by the same number

Answer from: dbanks701

The correct answers are:

A
B
G

It's because the ratio is 5:2. 250:100 is the same thing when you multiply 5:2 by 50, hence A is correct.

10 to 4 is also correct because 10 to 4 is the same as 10:4, and the original ratio is 5:2. You just have to multiply the ratio by 2 to get 10:4, and they're still equivalent.

G is also correct because 50 to 20 is the same as 50:20, and when you divide that by 10, you get 5:2, which is the same ratio.

Answer from: Quest

8doors on the second floor

Answer from: Quest

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

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