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Black_prince [1.1K]
3 years ago
8

39.2 is what percent p of 112?

Mathematics
2 answers:
jok3333 [9.3K]3 years ago
3 0
39.2 percent out of 112 that is 35%
Yuri [45]3 years ago
3 0

Answer:

39.2 is 35% of 112 .

Step-by-step explanation:

Formula of the percentage

Percentage = \frac{Part\ value\times 100}{Total\ value}

Part value = 39.2

Total value = 112

Put all the values in the formula

Percentage = \frac{39.2\times 100}{112}

Percentage = \frac{39200}{1120}

Percentage = 35%

Therefore 39.2 is 35% of 112 .

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<em><u>Solution:</u></em>

Given that,

log_b2 = x\\\\log_b3 = y --------(i)

<em><u>Use the following log rules</u></em>

Rule 1: log_b(ac) = log_ba + log_bc

Rule 2: log_b\frac{a}{c} = log_ba - log_bc

Rule 3: log_ba^c = clog_ba

a) log_b{162}

Break 162 down to primes:

162 = 2^1 \times 3^4

log_b{162} =log_b 2^1. 3^4\\\\By\ rule\ 1\\\\ log_b{162} = log_b 2^1 +log_b 3^4\\\\By\ rule\ 3\\\\1log_b2 + 4log_b3\\\\1x+4y\\\\x+4y

Thus we get,

log_b162 = x + 4y

Next

b) log_b 324

Break 324 down to primes:

324 = 2^2 \times 3^4

log_b324 = log_b 2^2.3^4\\\\By\ rule\ 1\\\\log_b324 = log_b2^2 + log_b3^4\\\\By\ rule\ 3\\\\log_b324 = 2log_b2 + 4log_b3\\\\From\ (i)\\\\log_b324 = 2x + 4y

Next

c) log_b\frac{8}{9}

By rule 2

log_b\frac{8}{9} = log_b8 - log_b9\\\\log_b\frac{8}{9} = log_b 2^3 - log_b3^2\\\\By\ rule\ 3\\\\log_b\frac{8}{9} =  3 log_b2 - 2log_b3\\\\From\ (i)\\\\log_b\frac{8}{9} =  3x - 2y

Next

d) \frac{log_b27}{log_b16}

By rule 2

\frac{log_b27}{log_b16} = log_b27 - log_b16\\\\ \frac{log_b27}{log_b16} = log_b3^3 - log_b2^4\\\\By\ rule\ 2\\\\ \frac{log_b27}{log_b16} = 3log_b3 - 4log_b2 \\\\From\ (i)\\\\\frac{log_b27}{log_b16} =  3y - 4x

Thus the given are evaluated in terms of x and y

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3 years ago
Nancy wants to buy 32 notebooks to give to her classmates, each notebook cost $1.75, how much will Nancy pay for 32 notebooks?
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Answer:

Step-by-step explanation:

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Answer D

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Answer:

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Step-by-step explanation:

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0.8 x 1.1 = 2378

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0.88 = 2378

0.8 = X

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2,161.81 / 0.8 = X

2,702.27 = X

Therefore, the marked price of the watch is 2,702.27.

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