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alekssr [168]
2 years ago
12

?

Mathematics
1 answer:
ioda2 years ago
7 0

Answer:

1. 4(x - 3) = 32

4x - 12 = 32

4x = 44

x = 11

2. 12(2x + 4) = 24

24x + 48 = 24

24x = -24

x = -1

3. 3(3s + 4) = 21

9s + 12 = 21

9s = 9

s = 1

4. 3(c - 2) = 2(c + 3)

3c - 6 = 2c + 6

c - 6 = 6

c = 12

5. 12(r - 3) = 6(r + 3)

12r - 36 = 6r + 18

6r - 36 = 18

6r = 54

r = 9

6. 2(x+5) = 30

2x + 10 = 30

2x = 20

x = 10

7. 3(b+2) = 6(b-2)

3b + 6 = 6b - 12

6 = 3b - 12

18 = 3b

6 = b

8. 4(c-2) = 16

4c - 8 = 16

4c = 24

c = 6

9. 7(y+2) = 28

7y + 14 = 28

7y = 14

y = 2

10. 4(d-2) = 2(d+3)

4d - 8 = 2d + 6

2d - 8 = 6

2d = 14

d = 7

11. 5(L+5) = 35

5L + 25 = 35

5L = 10

L = 2

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We conclude that, if working at the same rate, to make 374 units, she needs to work for 17 hours.

<h3>At the same rate, how many hours would she have to work to make 374?</h3>

We know that Mary makes 242 units of something in 11 hours of work, then her rate of work is:

R = (242 units)/(11 hours) = 22 units per hour.

Now, if she wants to make 374 units, then she needs to work for a time T, such that:

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Solving that linear equation for T, we get:

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We conclude that, if working at the same rate, to make 374 units, she needs to work for 17 hours.

If you want to learn more about linear equations:

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