Question

Solve k • 3v/8a = 3v/4a and get 10 points.

a) k = 2

b) k = 4

c) k = 6

d) k = 8

Answer 1

To solve for k in the equation (k • 3v/8a = 3v/4a), we must isolate k and then simplify the equation. The terms cancel out, leaving us with k = 2. Hence, the answer is a) k = 2.

Step-by-step explanation:

To solve for k in the equation k • rac{3v}{8a} = rac{3v}{4a}, we want to find the value of k that makes both sides of the equation equal. We do this by isolating k on one side:

1. Divide both sides by rac{3v}{8a} to get k.
2. k = rac{rac{3v}{4a}}{rac{3v}{8a}}
3. Simplify the right side by multiplying the numerator and the denominator by 8a, then cancel out the 3v terms.
4. k = rac{3v × 8a}{4a × 3v}
5. k = 2, since rac{8a}{4a} = 2 and the 3v terms cancel out.

Therefore, the correct answer is a) k = 2.