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2 years ago

8

Is this table proportional or non-proportional?

1 answer:

tatyana61 [14]2 years ago

5 0

Answer:

in my opinon, this table is proportional

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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

2 years ago

What is the volume, in cubic in, of a rectangular prism with a height of 8in, a width of 5in, and a length of 9in?

Maslowich

Answer:

360 in ^3

Step-by-step explanation:

The volume is given by

V = l*w*h

= 8 * 5 * 9

= 360 in ^3

3 0

2 years ago

What do I do when the output doesn't have a constant rate of change?

Solnce55 [7]

-2 gal/min

sry if it wrong

3 0

2 years ago

SHOW YOUR WORK!!<br><br> What is the distance between point A (-3, -2) and Point B (4, -7)?

gulaghasi [49]

Answer: $\bold{\sqrt{74}}$

<u>Step-by-step explanation:</u>

$\text{Use the distance formula: }d_AB=\sqrt{(x_A-x_B)^2+(y_A-y_B)^2}\\where\ (X_A, y_A)=(-3, -2)\\and\ (x_B,y_B)=(4, -7)\\\\\\d_AB=\sqrt{(-3-4)^2+[-2-(-7)]^2}\\\\.\quad =\sqrt{(-7)^2+(5)^2}\\\\.\quad =\sqrt{49+25}\\\\.\quad =\boxed{\sqrt{74}}$

3 0

3 years ago

The population of New York City in 1840 was 312,710. The population of New Orleans, Louisiana was 102,193 in that year. What was

MaRussiya [10]

Answer

Piper is Correct

Step-by-step explanation:

312,710+102,193= 414,903

8 0

3 years ago