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3 years ago

M=3/8,, y-intercept (0, 7)

Mathematics

1 answer:

anygoal [31]3 years ago

6 0

The equation for this will be y=3/8x+7.

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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

Plz help asapppppp plzz

Ksju [112]

In grade 7, 10/18 students are members of the band.
In grade 8, 10/12 students are members of the band.
Because 10/12>10/18, the answer is B

6 0

3 years ago

Which equation represents a line that has a slop of 3/4 and passes through the point (2,1)??

Veronika [31]

Answer:

(B) 4y = 3x-2

Step-by-step explanation:

Divide by the coefficient of y to see the slope. It will be the resulting coefficient of x. Only choices B and D match requirements.

Check to see which equation is satisfied by the given point:

B: 4(1) = 3(2) -2 . . . . true

D: 4(1) = 3(2) +5 . . . .false

The appropriate equation is ...

4y = 3x-2

4 0

3 years ago

If you raise 4 to the 214th power, what is the units digit of the result

Len [333]

$\begin{array}{lrlll}
4^1&\boxed{4}\\
4^2&1\boxed{6}\\
4^3&6\boxed{4}\\
4^4&25\boxed{6}\\
4^5&102\boxed{4}\\
4^6&409\boxed{6}
\end{array}\impliedby \textit{see the pattern for 4?}$

notice, it goes 4,6 then 4, 6 again, and so on and so on
based on whatever exponent it may have

now, you're being asked, what 214 will give? 4 or 6?

4 0

3 years ago

Can someone please help me I will mark u brilliant

Oliga [24]

Answer:

The answer is 7/20 miles.

Step-by-step explanation:

Just multiply 7/6 x 2/5, then you have the answer

7 0

3 years ago

M=3/8,​, ​y-intercept (0, 7)

M=3/8,, y-intercept (0, 7)