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yKpoI14uk [10]
3 years ago
12

9 is 12% of which number ?

Mathematics
2 answers:
Harrizon [31]3 years ago
7 0
Let x be the original number we are trying to find.

9 = 0.12x
9 =  \frac{12}{100}x
900 = 12x
\implies x = 75
Furkat [3]3 years ago
6 0
In math, "is" means equal, "percent symbol" means to divide by 100, and "of" means times, or multiply.

9 = ?% x 12

Now, if ?% x 12 = 9, then 9 divided by 12 must also be ?%, just like 3 x 2 = 6; and 6 divided by 3 = 2, or 6 divided by 2 = 3. So,

9 / 12 = 0.75

To express as a percent, multiply by 100 and then add the % symbol, or move the decimal 2 places to the right and then add the % symbol. 0.75 becomes 75% (which when you divide by 100, you get .75 again).

9 is 75% of 12. Check your work: 9 = .75 x 12 If this is true, then your answer is correct
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There are two ways to work this out: normal variables or using "imaginary" numbers.

Normal variables:
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Imaginary numbers:
Using the result from earlier:
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Now since i = \sqrt{-1}, then the expression becomes:
21-i-2i^{2}\\21-i-2(\sqrt{-1})^{2}\\21-i+(-2)(-1)\\21-i+2\\\\23-i
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