Answer:
Step-by-step explanation:
3. [tex]\frac{3}{16}=\frac{x}{12}[/tex]
36 = 16x
9 = 4x
x = [tex]\frac{9}{4}[/tex]
4. [tex]\frac{x}{120}=\frac{1}{24}[/tex]
x = [tex]\frac{120}{24}[/tex]
x = 5
5. [tex]\frac{a-2}{9}=\frac{2}{3}[/tex]
3a - 6 = 18
3a = 24
a = 8
6. [tex]\frac{b+4}{5}=\frac{7}{4}[/tex]
4b + 16 = 35
4b = 19
b = [tex]\frac{19}{4}[/tex]
7. [tex]\frac{3}{7}=\frac{c+4}{35}[/tex]
105 = 7c + 28
7c = 105 - 28
7c = 77
c = 11
8. [tex]\frac{2c}{11}=\frac{c-3}{4}[/tex]
8c = 11c - 33
11c - 8c = 33
3c = 33
c = 11
9. [tex]\frac{7}{k-2}=\frac{5}{8}[/tex]
56 = 5k - 10
5k = 66
k = [tex]\frac{66}{5}[/tex]
12. [tex]\frac{c+1}{c-2}=\frac{4}{7}[/tex]
7c + 7 = 4c - 8
7c - 4c = -15
3c = -15
c = -5
13. [tex]\frac{v}{4}= \frac{7}{8}[/tex]
v = [tex]\frac{7}{2}[/tex]
14. [tex]\frac{9}{14}=\frac{3}{n}[/tex]
9n = 42
n = [tex]\frac{42}{9}[/tex]
n = [tex]\frac{14}{3}[/tex]
15. [tex]\frac{b+13}{2}=\frac{-5b}{3}[/tex]
3b +39 = -10b
13b = -39
b = -3
16. [tex]\frac{3b}{b-4}=\frac{3}{7}[/tex]
21b = 3b - 12
21b - 3b = -12
18b = -12
b = -[tex]\frac{12}{18}[/tex]
b = [tex]-\frac{2}{3}[/tex]
17. [tex]\frac{x+2}{2x-6}=\frac{3}{8}[/tex]
8x + 16 = 6x - 18
8x - 6x = -18 - 16
2x = -34
x = -17
