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4) [tex]\frac{3m+15}{2} = 22.5[/tex]

Multiply by 2 on both sides

3m + 15 = 45

Subtract both sides by 15

3m = 30

Divide both sides by 3

so m = 3

5) [tex]21= \frac{q+35}{8}[/tex]

Multiply both sides by 8

168 = q + 35

Subtract both sides by 35

q = 133

6) [tex]14 + \frac{4z}{-11} = 66[/tex]

Subtract 14 from both sides

[tex] \frac{4z}{-11} = 52[/tex]

multiply by -11 on both sides

4x = 572

Divide both sides by 4

x= 143

7) [tex]\frac{3}{5} c - 6 = 9[/tex]

Add 6 on both sides

[tex]\frac{3}{5} c  = 15[/tex]

Multiply both sides by 5

3c = 75

Divide both sides by 3

c = 25

8) [tex]\frac{t}{-2} + 17 = -9[/tex]

Subtract both sides by 17

[tex]\frac{t}{-2} =26[/tex]

Multiply both sides by -2

t = -52

9) [tex]-6 = \frac{5p-(-2)}{-7}[/tex]

Multiply both sides by -7

42= 5p + 2

subtract 2 from both sides

40 = 5p

Divide both sides by 5

so p = 8






alinakincsem

Answer:

4. m = 10

5. q = 133

6. z = -143

7. c = 25

8. t = 52

9. p = 8

Step-by-step explanation:

4) [tex]\frac{3m+15}{2} = 22.5[/tex]

[tex]3m = 2(22.5)-15[/tex]

[tex]m=\frac{30}{3}[/tex]

[tex]m=10[/tex]


5) [tex]21=\frac{q+35}{8}[/tex]

[tex]168-35= q[/tex]

[tex]q=133[/tex]


6) [tex]14+\frac{4z}{-11} =66[/tex]

[tex]\frac{4z}{-11} = 66-14[/tex]

[tex]4z= 52 * -11[/tex]

[tex]z= \frac{-572}{4}[/tex]

[tex]z= -143[/tex]


7) [tex]\frac{3}{5c} -6=9[/tex]

[tex]\frac{3}{5c} =9+6[/tex]

[tex]3c=15*5[/tex]

[tex]c=\frac{75}{3}[/tex]

[tex]c=25[/tex]


8) [tex]\frac{t}{-2} +17 = -9[/tex]

[tex]\frac{t}{-2} = -9-17[/tex]

[tex]t= -26 * -2[/tex]

[tex]t=52[/tex]


9) [tex]-6=\frac{5p-(-2)}{-7}[/tex]

[tex]42=5p+2[/tex]

[tex]5p=42-2[/tex]

[tex]p=\frac{40}{5}[/tex]

[tex]p= 8[/tex]

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