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love history [14]
2 years ago
11

Genevieve wants to verify that negative x is the simplified expression of one-fifth (5 x minus 20) minus one-half (4 x minus 8).

which procedure can genevieve follow to verify this? add one-fifth (5 x minus 20) minus one-half (4 x minus 8) and negative x. put an equal sign between one-fifth (5 x minus 20) minus one-half (4 x minus 8) and one-fifth (5 x minus 20) minus one-half (4 x minus 8) and then solve for x. substitute 5 into the first expression, substitute 4 into the second expression, and evaluate them. substitute 5 into each expression and evaluate them.
Mathematics
1 answer:
mart [117]2 years ago
3 0

Answer: -x

Apply Multiplicative Distribution Law:- 1/5 * 5x - 1/5 * 20 - 1/2 * 4x - 1/2 *(-8)

Determine the sign for multiplication or division: 1/5 * 5x - 1/5 * 20 - 1/2 * 4x + 1/2 * 8

Cross out the common factor: x - 1/5 * 20 - 1/2 * 4x + 1/2 * 8

Cross out the common factor: x - 4 - 1/2 * 4x + 1/2 * 8 - 4 - 2x + 1/2 * 8

Cross out the common factor: x - 4 - 2x + 1/2 * 8

Cross out the common factor:  x - 4 - 2x + 4

Reorder and gather like terms: (x - 2x) + (- 4 + 4)

Collect coefficients for the like terms: (1 - 2) * x + (- 4 + 4)

Calculate the sum or difference :  - x + (- 4 + 4)

The sum of two opposites equals 0: -x

Answer: -x

Learn more about Multiplicative Distribution Law here:brainly.com/question/2898526

#SPJ4

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you have a large container of olive oil. You have used 22 1/2 quarts of oil. Twenty- five percent of the oil remain. How many qu
Alex Ar [27]
Answer:

7.5 quarts of olive oil remain.

Explanation:

Let

q = quarts of olive oil remain

<span>25%</span> of olive oil remains means that <span>75%</span> has been used.

22<span>12</span> quarts = 22.5 quarts used

<span><span>22.5.75</span>=<span>q.25</span></span>

Multiply both sides by .25 to isolate q.

<span><span>22.5.75</span><span>(.25)</span>=<span>q.25</span><span>(.25)</span></span>

<span><span>5.625.75</span>=q</span>

<span>7.5=<span>q</span></span>

3 0
3 years ago
What is the value of |–3.25| ?
34kurt

<u>Answer:</u>

  • <em>3.25</em>

<u>Step-by-step explanation:</u>

<em>Rule: An absolute value will always be positive. </em>

<em>=> Referring to the rule, the absolute value of |–3.25| is 3.25.</em>

Hoped this helped.

BrainiacUser1357

3 0
3 years ago
a section of a stained glass window is shaped like a parallelogram. Its base is 6.5 inches, and its height is 4 inches. how much
Bond [772]
Area is base multiplied by height, so to get the answer you'd need to multiply 6.5 and 4
8 0
3 years ago
PLEASE HELP ASAP WILL MARK THE BRAINLEST
statuscvo [17]

Answer:

similar triangles

Step-by-step explanation:

First of all, what are similar shapes? Well, two shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. That means you can make one shape bigger or smaller. In this case, we know that triangles ABC and DEF are mathematically similar. The area of triangles ABC is , so we need to know the area of triangle DEF.

From math, let's call  the scaling factor, so we know that for any similar figures, the ratio of the areas of any are in proportion to . In other words, if  is the area of triangle ABC, and  is the area of triangle DEF, then we can write the following relationship:

4 0
3 years ago
Which of the following is the solution set of the given equation?<br><br> (x - 3) - 2(x + 6) = -5
Vlad1618 [11]

Answer: x=−10

Step-by-step explanation:

x−3−2(x+6)=−5

x+−3+(−2)(x)+(−2)(6)=−5(Distribute)

x+−3+−2x+−12=−5

(x+−2x)+(−3+−12)=−5(Combine Like Terms)

−x+−15=−5

−x−15=−5

−x−15+15=−5+15

−x=10

8 0
3 years ago
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