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kiruha [24]
2 years ago
8

What are the answers to the questions below?

Mathematics
1 answer:
Tcecarenko [31]2 years ago
4 0

Answer:

You have to follow PEMDAS or parenthesis, exponents, multiplication, division, addition, and subtraction. It's an order to solve equations. I listed the steps and the answers for you below :) I have throughly checked them so they should be correct! yw :D

Step-by-step explanation:

1. 5x + 4x - 6x = 24

9x - 6x = 24

3x = 24

24/3 = 8

<u><em>x = 8</em></u>

2. 8y + 5 - 4y + 1 = 46

8y - 4y = 4y

5 + 1 = 6

4y + 6 = 46

4y = 46 - 6

4y = 40

40/4 = 10

<u><em>y = 10</em></u>

<u><em></em></u>

3. 33 = 5 ( x + 8 ) + 3

33 =  5x + 40 + 3 <em>(because we distributed)</em>

33 = 5x + 43

5x + 43 = 33<em> (just rewriting it to make it easier)</em>

5x = 33 - 43

5x = -10

-10/5 = -2

<em><u>so x = - 2</u></em>

4. 2m + 3 ( m - 8 ) = 1

2m + 3m - 24 = 1

<em>we got 3m - 24 because we distributed the 3</em>

5m - 24 = 1

5m = 25

25/5 = 5

<em><u>m = 5</u></em>

<em><u /></em>

5. p + p - 2p + 4p = - 48

2p - 2p + 4p = - 48

4p = - 48

- 48 / 4 = - 12

<u><em>p = - 12</em></u>

<u><em></em></u>

6. 2 ( y + 5 ) + 3y = 25

2y + 10 + 3y = 25

5y + 10 = 25

5y = 25 - 10

5y = 15

15/5 = 3

<u><em>y = 3</em></u>

7. 1/4 h + 3/4 h + 1/2 h + 2 = 5

1/4 h + 3/4 h + 1/2 = 3/2 h

3/2 h + 2 = 5

3/2 h = 5 - 2

3/2 h = 3

<u><em>h = 2</em></u>

<u><em></em></u>

8. 60 = 4 ( k + 3 ) + 2 ( k - 3 )

60 = 4k + 12 + 2k - 6

4k + 12 + 2k - 6 = 60

6k + 6 = 60

6k = 60 - 6

6k = 54

<u><em>k = 9 </em></u>

<u><em></em></u>

9. - 2 ( d + 1.4 ) - 1.8 = 20.6

-2d + - 2.8 - 1.8 = 20.6

-2d - 2.8 = 22.4

-2d = 25.2

<u><em>d = - 12.6 </em></u>

<u><em></em></u>

10. 8 - 2 ( w + 4 ) = 10

8 + - 2 w + - 8 = 10

-2w + 9 + - 8 = 10

-2w = 10

10 / -2 = -5

<u><em>w = -5</em></u>

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