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Anettt [7]
3 years ago
7

The price of an item was reduced 25% to $30. What was the original price of the item? thank you!

Mathematics
2 answers:
Annette [7]3 years ago
3 0
40$ djdjhdhdjdjdjdjdjs
pochemuha3 years ago
3 0
$40

I don’t really have an explanation just an answer but to check 25%=1/4. 1/4 of 40 is 10, so subtract 10 from 40 and you get the new reduced price, 30.
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Determine the value of variables a, b, and c that make each equation true.
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Corrected Question

Determine the values of a, b and c that make each equation true.

(x^a)^6=\dfrac{1}{x^{30}} \\\\(x^{-7})^{-4}=x^b\\\\(x^{-2})^c=x^{22}

Answer:

a=-5, b=28 and c=-11

Step-by-step explanation:

To solve for a,b and c, we apply the following laws of indices

\dfrac{1}{x^y}=x^{-y} \\\\(x^m)^n=x^{m X n}\\\\$If x^m=x^n,$ then m=n

Therefore

(x^a)^6=\dfrac{1}{x^{30}}\\x^{a*6}=x^{-30}\\6a=-30\\a=-5

To solve for b

(x^{-7})^{-4}=x^b\\x^{-7*-4}=x^b\\x^{28}=x^b\\b=28

To solve for c

(x^{-2})^c=x^{22}\\x^{-2*c}=x^{22}\\-2c=22\\c=-11

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Step-by-step explanation:

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