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3 years ago

Use the Distributive Property to solve the equation.

Mathematics

1 answer:

vodka [1.7K]3 years ago

6 0

The answer is the X= -5

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Which equation demonstrates the distributive property?

shepuryov [24]

I'm gonna say C )

We have to multiply the number outside the parenthesis by the numbers inside.

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3 years ago

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The internet was used by 30% of the population of a state in 2008. If 3200 people were surveyed, how many in the survey were usi

andrew-mc [135]

1. We know that 30% expressed as a decimal is 0.30

Since 30% of people were using the internet, 0.30*3200 is our answer.
3200*0.30= 960.

Therefore 960 people were using the internet out of the 3200 surveyed.

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3 years ago

Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and x + 7y = 8

goblinko [34]

$\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y = \frac{17}{14} } \atop {x+7y=8}} \right.$

To solve this system by substitution, first isolate x in the second equation.

$x+7y=8$
$x+7y-7y=8-7y$
$x=8-7y$

Now, plug this expression ( $8-7y$ ) for x in the top equation to solve for y.

$\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}$
$3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24}$
$72-63y+8y=17$
$72-55y=17$
$-55y=17-72$
$-55y=-55$
$y=1$

Now that you have y, plug it into the second equation and solve for x.

$x+7y=8$
$x+7(1)=8$
$x+7=8$
$x=1$

Last step is to plug your x- and y-values in to both equations to check your work.

$\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}$

$\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24}$

$\frac{9}{24} + \frac{8}{24} = \frac{17}{24}$ <--True

$1+7(1)=8$
$1+7=8$ <--True

Answer:
$x=1 \\ y=1$

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=7%20-%209w%20%3D%20%20-%2029%20" id="TexFormula1" title="7 - 9w = - 29 " alt="7 - 9w = - 29

Oksana_A [137]

7 - 9w = - 29

Subtract 7 from both sides

- 9w = - 36

Divide by - 9 on both sides

w = 4

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3 years ago

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Simplify 3.(9.). A. 3x B. 27x C. 9x D. 2 + 7x

grin007 [14]

i think your answer is B. 27x

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2 years ago