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2 years ago

Solve for x when 6x+y=82 3y=18

Mathematics

1 answer:

erik [133]2 years ago

4 0

Answer:

x=12

Step-by-step explanation:

3y=18

simplify this first

3y÷3 = 18÷3

y = 6

6x+y=82

6x+6=82

6x (+6-6)=82-6

6x=72

6x÷6=72÷6

x=12

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3 years ago

Simplify: StartRoot StartFraction 576 Over 64 EndFraction EndRoot The prime factorization of 576 is. The prime factorization of

riadik2000 [5.3K]

The prime factor of the 576 is $2^6 * 3^2$ and the prime factor of the 64 is $2^6$ . And the expression $\sqrt{\dfrac{576}{64}}$ is equal to 3.

<h3>What is simplification?</h3>

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The expression is $\sqrt{\dfrac{576}{64}}$

The prime factor of the 576 will be

$576 = 2^6 * 3^2$

The prime factor of the 64 will be

$64 = 2^6$

Then the expression will be

$\sqrt{\dfrac{576}{64}} = \sqrt{\dfrac{2^6 * 3^2}{2^6}}\\\\\sqrt{\dfrac{576}{64}} = \sqrt{3^2}\\\\\sqrt{\dfrac{576}{64}} = 3$

More about the simplification link is given below.

brainly.com/question/12616840

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2 years ago

A hemisphere has an area of 256 pi cm^2. What is its volume?

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$\bf \begin{array}{llll}
\textit{surface area of a sphere}\\\\
A=4\pi r^2
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\textit{a hemisphere is half that}\\\\
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\end{array}\qquad r=radius
\\\\\\
\textit{now, we know the area is }256\pi \implies 256\pi =2\pi r^2
\\\\\\
\cfrac{256\pi }{2\pi }=r^2\implies \sqrt{128}=r\implies \boxed{8\sqrt{2}=r}
\\\\
-----------------------------\\\\$

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