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4 years ago

8

A rectangle has an area of 24 square centimeters. The width of the rectangle is 3 centimeters. What is the length of the rectang

le?

2 answers:

tigry1 [53]4 years ago

8 0

Answer:

8

Step-by-step explanation:

Area of a rectangle formula lw=A

L3=24

24/3=8

Check

3x8=24

brilliants [131]4 years ago

6 0

Answer: length is 8

Step-by-step explanation:

its just 24 divided by 3 = 8

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2. picking a number from 1 to 5 and choosing<br> the color red, white, or blue

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Answer: Its 3 and red

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3 years ago

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G(6−3g)(6+3g)=0<br><br> please solve the equation

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Answer:

What is G

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6-3=3g

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3 years ago

Which of the points is a solution to the following system of equations? -5x- 3/2y=15 3x+5/6 y=-44/3

tatiyna

<em>Note: Your question sounds a little unclear, but I am assuming that your system of equations is:</em>

$-5x-\:\frac{3}{2}y=15$

$3x+\frac{5}{6}y=-\frac{44}{3}$

It would anyways clear your concept because the procedure to find the solutions remains the same for any set of a system of equations.

Answer:

The solution of the system of equations be:

$x=-\frac{57}{2},\:y=85$

Step-by-step explanation:

Given the system of equations

$-5x-\:\frac{3}{2}y=15$

$3x+\frac{5}{6}y=-\frac{44}{3}$

solving the system of equations

$\begin{bmatrix}-5x-\frac{3}{2}y=15\\ 3x+\frac{5}{6}y=-\frac{44}{3}\end{bmatrix}$

$\mathrm{Multiply\:}-5x-\frac{3}{2}y=15\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:-15x-\frac{9}{2}y=45$

$\mathrm{Multiply\:}3x+\frac{5}{6}y=-\frac{44}{3}\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:15x+\frac{25}{6}y=-\frac{220}{3}$

so the system of equations becomes

$\begin{bmatrix}-15x-\frac{9}{2}y=45\\ 15x+\frac{25}{6}y=-\frac{220}{3}\end{bmatrix}$

adding the equations

$15x+\frac{25}{6}y=-\frac{220}{3}$

$+$

$\underline{-15x-\frac{9}{2}y=45}$

$-\frac{1}{3}y=-\frac{85}{3}$

so

$\begin{bmatrix}-15x-\frac{9}{2}y=45\\ -\frac{1}{3}y=-\frac{85}{3}\end{bmatrix}$

solving $-\frac{1}{3}y=-\frac{85}{3}$ for y

$-\frac{1}{3}y=-\frac{85}{3}$

Multiply both sides by -3

$\left(-\frac{1}{3}y\right)\left(-3\right)=\left(-\frac{85}{3}\right)\left(-3\right)$

$y=85$

$\mathrm{For\:}-15x-\frac{9}{2}y=45\mathrm{\:plug\:in\:}y=85$

$-15x-\frac{9}{2}\cdot \:85=45$

$\mathrm{Add\:}\frac{765}{2}\mathrm{\:to\:both\:sides}$

$-15x-\frac{765}{2}+\frac{765}{2}=45+\frac{765}{2}$

$-15x=\frac{855}{2}$

$\mathrm{Divide\:both\:sides\:by\:}-15$

$\frac{-15x}{-15}=\frac{\frac{855}{2}}{-15}$

$x=-\frac{57}{2}$

Therefore, the solution of the system of equations be:

$x=-\frac{57}{2},\:y=85$

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3 years ago

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Bogdan [553]

Square root of 121 is 11.
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3 years ago

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