2003
Mathematics
67ca00ce0c643c71d77dee1f
x varies directly as the product of u and v and inversely as their sum. If x = 3 when u = 3 and v = 1, what is the value of x if u = 3 and v = 3?
A.
3
B.
4
C.
6
D.
9
Correct Answer: 6
Explanation
x ∝ uv/u+v. x = kuv/u+v. K =x(u+v)/uv. 3(3+1)/3 × 1. 3 × 4/3. k = 4. x = 4uv/u+v. x = 4 × 3 × 3 3 +3. x = 36/6. x = 6
x ∝ uv/u+v. x = kuv/u+v. K =x(u+v)/uv. 3(3+1)/3 × 1. 3 × 4/3. k = 4. x = 4uv/u+v. x = 4 × 3 × 3 3 +3. x = 36/6. x = 6THIS WEEK's
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