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Drupady [299]
4 years ago
8

If the numbers below were ordered from least to greatest, which number could you use to replace the blank? 0.20,2/5 □ , 3/4,8/10

Mathematics
1 answer:
faust18 [17]4 years ago
8 0
1/2 would work for the blank space

because as shown in the image you could relate it to a whole for each one and put it to 100 to figure out what the blank could be

the 0.20 can be converted to 1/5 so that way you can put everything into the 100 group

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6x−2/4=x−2

⇒ 6x−1/2=x−2

⇒6x−x=1/2−2

⇒5x=−3/2

⇒x=−3/10

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Assuming we're dealing with \frac{x+2}{-5} < 4, which is the same as writing (x+2)/(-5) < 4, then the answer is choice C.

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-------------------------------------

Multiplying or dividing both sides by a negative number flips the inequality sign.

An example would be saying -2x < 10 leads to x > -5

What we can do is divide both sides by -2 and flip the inequality sign, or we could follow the steps shown below

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  • -10 < 2x ... subtracting 10 from both sides; this is one way to see why the sign flip happens
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