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Sloan [31]
3 years ago
10

When the sum of 8 and a certain number is increased by 12, the result is the same as the product of 3 and the number. What is th

e number?

Mathematics
1 answer:
Roman55 [17]3 years ago
6 0
ANSWER: The number is 10.
Hope this helps!!

I used the variable n as the number we needed to find. The equation was n + 8 + 12 = 3n

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9. 1/3(x+6) =8
babunello [35]
9.       ¹/₃(x + 6) = 8
    ¹/₃(x) + ¹/₃(6) = 8
           ¹/₃x + 2 = 8
           <u>       - 2  - 2</u>
            3 · ¹/₃x = 6 · 3
                     x = 18

15.       ¹/₅(x + 10) = 6
      ¹/₅(x) + ¹/₅(10) = 6
                ¹/₅x + 2 = 6
                <u>       - 2  - 2</u>
                 5 · ¹/₅x = 4 · 5
                         x = 20

20.       ¹/₈(24x + 32) = 10
      ¹/₈(24x) + ¹/₈(32) = 10
                     3x + 4 = 10
                     <u>      - 4   - 4</u>
                           <u>3x</u> = <u>6</u>
                            3     3
                             x = 2

32.        5 - ¹/₂(x - 6) = 4
      5 - ¹/₂(x) - ¹/₂(-6) = 4
              5 - ¹/₂x + 3 = 4
              5 + 3 - ¹/₂x = 4
                    8 - ¹/₂x = 4
                 <u>- 8            - 8</u>
                -2 · (-¹/₂x) = -4 · (-2)
                             x = 8

33.      ²/₃(3x - 6) = 3
     ²/₃(3x) - ²/₃(6) = 3
                2x - 4 = 3
                <u>    + 4 + 4</u>
                     <u>2x</u> = <u>7</u>
                      2     2
                       x = 3¹/₂
8 0
3 years ago
Read 2 more answers
Standard form- 12 ten thousands, 8 thousands,14 hundreds,7 ones
Whitepunk [10]
129,407 because 12 ten thousands=120,0008 thousands= 8,00014 hundreds= 1,400No tens=07 ones=7
5 0
3 years ago
Theo fills a large box with boxes of staples. The volume of each box of staples is 120 cu cm. Estimate the volume of the large b
riadik2000 [5.3K]
I saw the image. The large box is filled with 6 columns of staples which has 5 box of staple each.

6colums * 5boxes/column = 30 boxes of staples.

30 boxes * 120 cu cm/box= 3,600 cu cm.

The estimated volume of the large box is 3,600 cu cm.
8 0
3 years ago
Solve for x and explain?
zhannawk [14.2K]

Answer:

x = 7

Step-by-step explanation:

When 2 secants are drawn from an external point to a circle.

The product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is

5(5 + x) = 6(6 + 4) ← distribute and simplify both sides

25 + 5x = 6 × 10

25 + 5x = 60 ( subtract 25 from both sides )

5x = 35 ( divide both sides by 5 )

x = 7

4 0
3 years ago
Simplify the expression to a + bi form:<br> (-2 - 6i)?
mixer [17]

The expression (-2 - 6i)-(-2-4i) to a + bi form is 0 - 2i.

Complete question.

Simplify the expression to a + bi form:

(-2 - 6i)-(-2-4i)

Square root of any negative number are expressed as a complex number. For example i = √-1

Complex numbers are generally written in the format z = x+iy

Given the expression (-2 - 6i)-(-2-4i)), in expansion:

(-2 - 6i)-(-2-4i)

= -2 - 6i + 2+4i

Collect the like terms

= (-2 + 2) - 6i + 4i

= 0 - 2i

Therefore the expression (-2 - 6i)-(-2-4i) to a + bi form is 0 - 2i.

Learn more on complex number here: brainly.com/question/12375854

6 0
3 years ago
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