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klasskru [66]
3 years ago
5

Mr.Blankenship has 3/8 pound of candy to give to the top 3 finalists in the spelling bee if each finalist receives an equal amou

nt, how many pounds of candy will each finalist receive?
Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer:

3/8

Step-by-step explanation:

3/8+8/9

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Answer:

x = 7

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

\frac{1}{ {27}^{x - 8} }  = 27

2) Multiply both sides by 27^x - 8.

1 =  {27} \times 27^{1 + x  - 8}

3) Use the product rule: x^a x^b = x^a+b.

1 =  {27}^{1 + x - 8}

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1  =  {27}^{x - 7}

5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.

log_{27}1 = x - 7

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\frac{ log_1  }{  log{27} }  = x - 7

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10) Switch sides.

x = 7

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>

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3 years ago
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