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Mamont248 [21]
4 years ago
8

Jamal works part-time earning $8,000 per year. He reduces his work hours by half so that he can go to school. Jamal completes hi

s degree after 3 semesters (1.5 years) at a cost of $1,400 per semester in tuition and $500 per semester in books. What was Jamal's investment in getting his degree?
a.

$4,700
b.

$5,700
c.

$11,700
d.

$17,700
Mathematics
1 answer:
monitta4 years ago
4 0
His investment would be B.$5,700 

Reasoning:

1400 x 3 = 4200

500 x 3= 1500

1500+4200= 5700
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\large\boxed{2x - 8 = 7 - 3x \text{ and } 4(x - 1) = x + 5}

We can go through each equation to solve:

1.

x + 3 = 4(x - 1) + 2

Distribute the coefficient outside of the parenthesis:

x + 3 = 4(x) + 4(-1) + 2

Simplify:

x + 3 = 4x - 4 + 2

x + 3 = 4x - 2

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Add 2 to both sides:

5 = 3x

Divide both sides by 3:

5/3 = x. This is not the answer.

2.

2x - 8 = 7 - 3x

Add 3x to both sides:

5x - 8 = 7

Add 8 to both sides:

5x = 15

Divide both sides by 5:

5x/5 = 15/5

x = 3. This is an answer.

3.

3(x + 2) = 14 - x

Distribute:

3(x) + 3(2) = 14 - x

3x + 6 = 14 - x

Add x to both sides:

4x + 6 = 14

Subtract 6 from both sides:

4x = 8

Divide both sides by 4:

4x/4 = 8/4

x = 2. This is not an answer.

4.

4(x - 1) = x + 5

Distribute:

4x - 4 = x + 5

Subtract x from both sides:

3x - 4 = 5

Add 4 to both sides:

3x = 9

Divide both sides by 3:

3x/3 = 9/3

x = 3. This is an answer.

5.

5 - 2(x + 1) = x

Distribute:

5 - 2x - 2 = x

Simplify:

3 - 2x = x

Add 2x to both sides:

3 = 3x

Divide both sides by 3:

3/3 = 3x/3

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6.

6(x - 4) = 2x

Distribute:

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Subtract 6x from both sides:

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