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3 years ago

Generate an equivalent expression using the distributive property 3(6 - 7a) A.18+21a B.9+10a C.9+10a D.18-21a

Mathematics

2 answers:

loris [4]3 years ago

8 0

Answer:

3(6-7a)

18-21a

a and d

Step-by-step explanation:

SVETLANKA909090 [29]3 years ago

6 0

Answer:

Step-by-step explanation:

When doing distributive property, you have to multiply the outside number by all of the inside numbers

so 3(6 - 7a), you would have to do 3*6 and 3*-7a and then you would add those two values:

So in this case, you would do 18 + (-21a) which is just 18 - 21a.

Just to help you visualize distributive property better

3(6+8) = 3*6 + 3*8

4(20+5+3) = 4*20 + 4*5 + 4*3

10(15.5 - 24.4 + 23.21) = 10*15.5 + 10*(-24.4) + 10*23.21

I hope this helped, let me know if you have any questions

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4 years ago

The capacity of a small children's swimming pool is 105 gallons of water. There

gizmo_the_mogwai [7]

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4 years ago

1/4(-8x - 12) + -4 = 3/4(-8x - 12)

nekit [7.7K]

Here's our equation:

$\frac{1}{4} (-8x-12)-4=\frac{3}{4} (-8x-12)$

Factor out the left side

(-2x - 3) - 4 = 3/4 (-8x - 12)

Simplify

-2x - 7 = 3/4 (-8x - 12)

Factor out the right side

-2x - 7 = -6x - 9

Add 7

-2x = 6x - 2

Add 6x to isolate the variable

4x = -2

Divide by 4

x = - 1/2

Here is how I simplified both sides initially. I'll only be showing the right side because this is a LOT of typing.

Begin with 3/4 (-8x - 12)

Use rule $a*\frac{b}{c} = \frac{a * b}{c}$ to multiply

3(-8x-12)/4

Factor 3(-8x-12)

(-8x - 12) = (-4 * 2x - 4 * 3)

Simplify (-4 * 2x - 4 * 3)

-3 * 4 (2x+3)

- 12 (2x + 3)

Now that we've factored 3/4 (-8x - 12), we're left with- 12 (2x + 3)/4.

12/4 =3, giving us -3(2x + 3)

Distribute and simplify, then you're done.

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3 years ago