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4 years ago

12

Find the unit rate 1/4 km in 1/3 hour

1 answer:

Cerrena [4.2K]4 years ago

8 0

Answer: 0.75km per hour or 3/4km per hour.

Step-by-step explanation: 1/4 / 1/3 = 3/4.

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Kelly tells you that when variables are in the denominator, the equation one over two plus three over x equals three over four b

liubo4ka [24]

(x/(2x))+((2*3)/(2x))=3/4
(x+6)/2x=3/4
4x+24=6x
24=2x
x=12

8 0

4 years ago

Write 0.216 as a rational number in lowest terms

lozanna [386]

Answer:

$=\frac{27}{125}$

Step-by-step explanation:

$0.216$

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

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

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

$=\frac{216}{1000}$

$216,\:1000$

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

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

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

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

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

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

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

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

$=8$

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

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

$=\frac{27}{125}$

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

6 0

3 years ago

Which of the following best describes the English expression five more than the quantity of a number minus six?

klasskru [66]

5 + x - 6 hopes this helps

8 0

3 years ago

Please help ASAP it’s due in a few minutes

grigory [225]

Answer: l think it's none of the others

Step-by-step explanation:

7 0

4 years ago

If Shondra traveled the same number of miles each hour, how many miles did she travel in 4 hours?

konstantin123 [22]

Answer:

how many miles did she travel each hour? Then I can answer your question

8 0

3 years ago

Read 2 more answers