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borishaifa [10]
3 years ago
14

If a machine that prints designs on T-shirts prints 500 shirts in 3 hours, how many hours will it take to print designs on 1,800

shirts?
Mathematics
2 answers:
LuckyWell [14K]3 years ago
5 0

500 shirts / 3 hours = 166 2/3 shirts per hour.

Divide total shirts by shirts per hour:

1800 / 166 2/3 = 10.8 hours.

dlinn [17]3 years ago
4 0

Question 695271

{{{500/3=1800/x}}}

Cross multiply:

{{{(3*1800)/500}}}

=10.8 hours

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Which equation is the equivalent form of 20(3)^5x = 820?
makvit [3.9K]

Answer:

x=ln(41)/ln(243)

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Prove that <br><br><img src="https://tex.z-dn.net/?f=2%20%5Ctan30%20%5Cdiv%201%20%2B%20tan%20%5E%7B2%7D%2030%20%3D%20sin60" id="
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3 0
3 years ago
Write 0.216 as a rational number in lowest terms
lozanna [386]

Answer:

=\frac{27}{125}

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0.216

\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}

\mathrm{There\:are\:}3\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\:therefore\:multiply\:and\:divide\:by\:}1000

=\frac{0.216\cdot \:1000}{1000}

=\frac{216}{1000}

216,\:1000

\mathrm{The\:GCD\:of\:}a,\:b\mathrm{\:is\:the\:largest\:positive\:number\:that\:divides\:both\:}a\mathrm{\:and\:}b\mathrm{\:without\:a\:remainder}

2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}

=2\cdot \:2\cdot \:2\cdot \:3\cdot \:3\cdot \:3

2,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}

=2\cdot \:2\cdot \:2\cdot \:5\cdot \:5\cdot \:5

\mathrm{The\:prime\:factors\:common\:to\:}216,\:1000\mathrm{\:are\:}

=2\cdot \:2\cdot \:2

\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2\cdot \:2=8

=8

=\frac{8\cdot \:27}{8\cdot \:125}

\mathrm{Cancel\:the\:common\:factor:}\:8

=\frac{27}{125}

Hence, the correct answer is =\frac{27}{125}

6 0
3 years ago
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