Question

if w is jointly proportional to u and v, and w=24 when u=0.8 and v=5, for what value of u will w=18 when v=2

Answer 1

To find the value of u when w is 18 and v is 2, set up a proportion using the given information. The value of u is 3.

Step-by-step explanation:

In this problem, we are given that w is jointly proportional to u and v. We are also given that w is equal to 24 when u is 0.8 and v is 5. To find the value of u when w is 18 and v is 2, we can set up a proportion.

Start with the given proportion: w/uv = 24/(0.8 * 5)

Simplify the right side: w/uv = 6

Substitute the values of w and v, and solve for u: 18/(2u) = 6

Cross multiply and solve for u: 18 = 2u * 6

Divide both sides by 12 to solve for u: u = 3