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hichkok12 [17]
4 years ago
6

If 12% = 1000, what is the remaining 88% worth?

Mathematics
1 answer:
MrRissso [65]4 years ago
3 0
Note: I am not 100% sure that this is the correct way to solve this problem. It is just my best attempt to help. 

Keep in mind that every percentage can be made into a decimal. 12% = 0.12 because 12% is also 12/100 as a fraction.

Since a percentage is the original number multiplied by the percent, you can solve this problem by dividing the number given by the percent. Be sure to turn the percent into a decimal to make it easier. Your work should look like this:

12% = 0.12

1,000 / 0.12 = 8,333.33

That is the first step. How you have to finish the problem and find what 88% is. To do this, you can simply multiply 88%, or 0.88, times the answer you get in the first part. Your work should look like this:

88% = 0.88
0.88 * 8,333.33 = 7,333.33 

Now to check your work, you can add 7,333.33 and 1,000 to see if it equal the total of 8,333.33

7,333.33 + 1,000 = 8,333.3

Since it is equal, this is your answer. 

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(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} } = \frac{16}{9}

4ˣ⁻¹ = 49 / 4

<h3>How to simplify an expression?</h3>

The expressions can be simplified as follows;

(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} }

Hence,

(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} } = (\frac{4}{3} )^{2(\frac{2}{3} )}.(\frac{4}{3} ) ^{\frac{5}{3} }

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(\frac{4}{3} )^{2(\frac{2}{3} )}.(\frac{4}{3} ) ^{\frac{5}{3} } = (\frac{4}{3} )^{\frac{4}{3} } .(\frac{4}{3} )^{\frac{5}{3} }

Finally,

(\frac{4}{3} )^{\frac{4}{3} } .(\frac{4}{3} )^{\frac{5}{3} } = (\frac{4}{3} )^{3}

(\frac{4}{3} )^{3} = \frac{16}{9}

2ˣ = 7

4ˣ⁻¹ = 2²⁽ˣ⁻¹⁾ = 2²ˣ ⁻ ²  = 2²ˣ / 2² = (2ˣ)² / 2²

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(2ˣ)² / 2² = 7² / 2² = 49 / 4

Hence,

4ˣ⁻¹ = 49 / 4

Finally, the  (\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} } is equal to \frac{16}{9}  and for the second part  4ˣ⁻¹ = 49 / 4

learn more on simplification here: brainly.com/question/17513857

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