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andreyandreev [35.5K]
3 years ago
6

Which sentence explains the correct first step in the solution of this equation?

Mathematics
1 answer:
siniylev [52]3 years ago
3 0

Answer:

<h3>B. Apply the distributive property to get 4x-12=9</h3>

\boxed{\sf{x=\dfrac{21}{4}=5.25 }}

Step-by-step explanation:

Isolate the term of x from one side of the equation.

Use the distributive property.

<u>Distributive property:</u>

\Longrightarrow: \sf{A(B+C)=AB+AC}

<h3>4(x-3)=9</h3>

<u>Expand the form multiply.</u>

4*x=4x

4*3=12

<u>Rewrite the problem down.</u>

4x-12=9

<u>Add by 12 from both sides.</u>

4x-12+12=9+12

<u>Solve.</u>

<u />

<u>Add the numbers from left to right.</u>

9+12=21

4x=21

Divide by 4 from both sides.

4x/4=21/4

<u>Solve.</u>

<u>Divide the numbers from left to right.</u>

x=21/4

21/4=5.25

<u>x=21/4=5.25</u>

  • <u>Therefore, the final answer is x=21/4=5.25.</u>

I hope this helps you! Let me know if my answer is wrong or not.

You might be interested in
The null hypothesis refers to the ______, whereas the research hypothesis refers to the ______. a. population; sample b. sample;
oee [108]

The null hypothesis and the research hypothesis respectively refers to;

A: Population; Sample

<h3>Null and Alternative hypothesis</h3>

Null hypothesis is defined as a working hypothesis making a claim about the population parameter in question. This means it deals with an overall Population.

Whereas, the alternative hypothesis also called the research hypothesis is one that seeks to disapprove or validate the null hypothesis and as such it is based on the results taken from a sample of a given population from which the null hypothesis is based.

Read more about Null hypothesis and Alternative Hypothesis at; brainly.com/question/15980493

4 0
2 years ago
If your painting 3 painting and u need four brushes at a cost of $0.75 each, 3 canvases for $5.99 each, and 12 tubes of paint fo
svetlana [45]

Answer:

Average cost of the painting = $14.55

Step-by-step explanation:

According to the question:

  • Number of brushes used = 4

       Total cost of brushes = (4\times 0.75) =\$3

Note:Total cost of any item = Product of number of items with                   its unit price.

  • Number of canvases = 3

       Total cost of canvases = (3\times 5.99)=\$17.97

  • Number of tubes used = 12

       Total cost of tubes = (12\times 1.89)=\$22.68

  • Number of paintings = 3

We have to find the average cost of painting.

Let the average cost be 'x' .

So,

⇒ x=\frac{Total\ expenditure}{Number\ of\ paintings}

⇒ x=\frac{3+17.97+22.68}{3}

⇒ x=\$14.55

Average cost of the painting = $14.55

4 0
4 years ago
Read 2 more answers
8 of 10
lara31 [8.8K]

Answer:

1000000000000000000000000000000

6 0
3 years ago
PLEASE HELP{ WILL GIVE BRAINLIEST
Volgvan

Answer:

\approx10.29\text{ feet}

Step-by-step explanation:

Please refer to the attachment.

By AA Similarity, the two triangles are similar.

Therefore, corresponding parts of them are proportional.

Therefore, we can write the following proportion:

\frac{7}{24}=\frac{3}{x+3}

We will solve for x. Cross-multiply:

7(x+3)=24(3)

Distribute:

7x+21=72

Subtract 21 from both sides:

7x=51

Divide both sides by 7. So, the value of x is:

x\approx7.2857

However, that is only the value of x.

The shadow of the tree is (x+3).

Hence, we will need tot add 3 to our value. Therefore, the actual length of the shadow of the tree is approximately:

\approx10.2857\approx10.29\text{ feet}

7 0
3 years ago
Triangle ABC is the result of a 180° rotation of triangle EFG about point D. Which angle in the image corresponds to ∠E in the p
Tamiku [17]
Angle E would be angle A in the original triangle
8 0
4 years ago
Read 2 more answers
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