Question

Solve the equation for x in terms of c.

2/3 (cx + 1/2) - 1/4 = 5/2 $\frac{2}{3}\left(cx+\frac{1}{2}\right)-\frac{1}{4}=\frac{5}{2}$

A.) x = 9/4c $\frac{9}{4c}$
B.) x = 27/8c $\frac{27}{8c}$
C.) x= 29/18c $\frac{29}{18c}$
D.) x = 29/8c $\frac{29}{8c}$

Answer 1

Answer:

D

Step-by-step explanation:

Simplify and rearrange to solve.

2/3 (cx + 1/2) - 1/4 = 5/2

2/3 (cx + 1/2) = 5/2 + 1/4

2/3 (cx + 1/2) = 11/4

cx + 1/2 = 11/4 divided by 2/3

cx + 1/2 = 33/8

cx = 33/8 - 1/2 = 29/8

x= 29 / 8 divided by x = 29/8c.

Hope this helps.

Answer 2

The answer is D.) 29/8c

the prove and how to work it