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levacccp [35]
3 years ago
5

A number, one-fourth of that number, and one-third of that number are added. The result is 38. What is the original number?​

Mathematics
1 answer:
Hatshy [7]3 years ago
3 0

Answer:

24

Step-by-step explanation:

Let 12x represent the original number.

One fourth of that number can be represented by 3x, and one third of the number can be represented by 4x.

Create an equation that sets this equal to 38, and solve for x:

12x + 3x + 4x = 38

19x = 38

x = 2

The original number is represented by 12x, so plug in 2 as x:

12(2)

= 24

So, the original number is 24.

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Answer:

3.b

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i hope question 3.a. is 5^x ÷ 5^-3 = 5^5

3.a.

\frac{5^x}{5^{-3}} = 5^5\\\\5^ {x+3} = 5^5\\\\x+3 = 5\\x =2

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3 years ago
Miguel has $87,255 in a savings account that earns 9% interest per year in simple interest. To the nearest cent, how much will h
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Step-by-step explanation:

5 0
3 years ago
Need help (problem and directions in the image):
Alex

Triangle ABC is congruent to triangle CDE using the side - angle - side congruence theorem. The sink hole is 52.2 ft and the Perimeter of ABC is 172.2 ft

<h3>What are congruent triangles?</h3>

Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent.

In the image shown:

AC = CE, BC = ED and they have the same angle (opposite angles are congruent).

Hence:

Triangle ABC is congruent to triangle CDE using the side - angle - side congruence theorem.

AB = DE = 52.2 ft

Perimeter of ABC = AB + BC + AC = 50 + 70 + 52.2 = 172.2 ft

Find out more on congruent triangles at: brainly.com/question/2938476

#SPJ1

6 0
2 years ago
Is the dilation from A to B a reduction or enlargement?
WITCHER [35]

Answer:

This is actually a reduction, and the scale factor of this dilation is 0.5.

8 0
3 years ago
Read 2 more answers
How can i use inverse operations to write the related multiplication and division sentences???
AlladinOne [14]
Both are related because u can multiply the answer to find a devision problem and you can divide a answer to find ur multiplication problem and find ur answer hope this helps 

8 0
3 years ago
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