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3 years ago

11

3 less than the quotient of 20 and x, write an algebraic expression

1 answer:

schepotkina [342]3 years ago

4 0

$\frac{20}{x}-3$

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3 years ago

6x + -2y² + 4xy² + 3x² + 5xy² simplify it

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2 years ago

Read 2 more answers

What is the length of the cylinder's height? Please help

raketka [301]

Answer:

Height = <u>9</u><u> </u>cm which means <u>Option </u><u>C </u>is the answer

Step-by-step explanation:

In the question we are given ,

Volume of cylinder = <u>2</u><u>2</u><u>5</u><u>π</u><u> </u><u>cm³</u>

Radius of cylinder = <u>5 cm</u>

And , we have to find the <u>height</u><u> of</u><u> </u><u>cylinder</u><u> </u>.

We know that ,

$\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow$

Our solution starts from here :

$\longmapsto \: \pi \: r {}^{2} h = 225\pi$

<u>Step </u><u>1</u><u> </u><u>:</u> Cancelling π with π :

$\longmapsto \: \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}$

<u>Step </u><u>2</u><u> </u><u>:</u> Substituting value of radius which is 5 cm in the formula :

$\longmapsto \: (5) {}^{2} \times h = 225$

$\longmapsto \: 25h = 225$

<u>Step </u><u>3 </u><u>:</u> Transposing 25 to right hand side :

$\longmapsto \: h = \frac{225}{25}$

<u>Step </u><u>4</u><u> </u><u>:</u> Cancelling 225 by 25 :

$\longmapsto \: \red{\boxed{h = 9 \: cm}}$

<u>Henceforth</u><u> </u><u>,</u><u> </u><u>height</u><u> </u><u>of </u><u>cylinder</u><u> is</u><u> </u><u>9</u><u> </u><u>cm</u>

<h2 /><h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>

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2 years ago

Choose one of the factors of x^3 + 343.

Debora [2.8K]

First, note that $343=7^3.$ Then use the formula for the sum of perfect cubes:

$a^3+b^3=(a+b)(a^2-ab+b^2).$

Therefore,

$x^3 + 343=x^3+7^3=(x+7)(x^2-7x+49).$

The quadratic trinomial $x^2-7x+49$ couldn't be factored anymore, so the expression $x^3 + 343$ has two factors $x+7$ and $x^2-7x+49.$

Answer: correct choice is A.

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3 years ago

Solve the inequality for w . W-9 > 23Simplify your answer as much as possible.

lord [1]

The answer is W>33 this is as simplified at it can be

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3 years ago