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olga nikolaevna [1]
4 years ago
9

Please help with this as soon as possible​

Mathematics
2 answers:
Rashid [163]4 years ago
8 0

Answer:

Step-by-step explanation:

Factorize all the numbers in numerator and denominator

16 = 2*2*2*2

125 = 5 *5 *5

\frac{a^{m}}{a^{n}}=a^{m-n},  where m >n

\frac{5^{4}*7^{5}*2^{8}}{16*125*7^{3}}=\frac{5^{4}*7^{5}*2^{8}}{2^{4}*5^{3}*7^{3}}\\\\\\=5^{(4-3)}*7^{(5-3)}*2^{(8-4)}\\\\\\=5^1*7^2*2^{4}

yulyashka [42]4 years ago
5 0

Answer:

98,000

Step-by-step explanation:

5^{4} *7^{5}* 2^{8}/16*125*7^{3}

=5^{4} * 7^{5}* 2^{8}  /2^{4} *5^{3} *7^{3}

=5^{4-1} *7^{5-3} *2^{8-4}

=5^{3} *7^{2} *2^{4}

=125*49*16

=98000

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jabari is power washing houses for a summer job.for every job,he charges and initial fee plus 30$ for each hour of work.his tota
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<h3><u>Question:</u></h3>

Jabari is power washing houses for a summer job. For every job, he charges an initial fee plus $30 for each hour of work. His total fee for a 4 -hour job, for instance, is $170 . Jabari's total fee,f, for a single job is a function of the number,t, of hours it takes him to complete the job. Write the function's formula.

<h3><u>Answer:</u></h3>

f = 50 + 30t is the function formula for total fee of Jabari

<h3><u>Solution:</u></h3>

Let the initial fee be "x"

Let "t" be the number of hours invested in that work

Let "f" be the total fee of Jabari

He charges and initial fee plus 30$ for each hour of work

Therefore, total fee is given as:

Total fee = initial fee + 30(number of hours)

f= x + 30t

Thus the function formula is found

<h3><u>Find the initial fee:</u></h3>

Given that,

His total fee for a 4 -hour job, for instance, is $170

Therefore,

t = 4

f = 170

Thus we get,

170 = x + 30(4)\\\\170 = x + 120\\\\x = 170 - 120\\\\x = 50

<em><u>Thus the formula becomes,</u></em>

f = 50+30t

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