Question

Solve for w in the equation 8 = (4w/3).
a) 2
b) 3
c) 6
d) 4

Answer 1

To solve for w in the equation 8 = (4w/3), multiply both sides by the reciprocal of 4/3 to isolate w, giving us 8 * (3/4) = 6, and hence, w = 6.

Step-by-step explanation:

To solve for w in the equation 8 = (4w/3), we need to isolate the variable w. We can do this by multiplying both sides of the equation by 3/4.

Multiplying 8 by 3/4 gives us 6, which means w = 6.

Let's perform the calculation step-by-step:

1. Multiply both sides of the equation by the reciprocal of 4/3, which is 3/4.
   8 * (3/4) = (4w/3) * (3/4)
2. The 3's and 4's on the right side of the equation cancel out, leaving us with just w on the right side.
   (4w/3) * (3/4) = w
3. On the left side, 8 * (3/4) equals 6.
   8 * (3/4) = 6
4. Therefore, w = 6.

Thus, the correct answer is (c) 6.