k=2.
To evaluate 15k when k equals 3, you would substitute the value of k into the expression. Therefore, 15k becomes 15(3), which simplifies to 45. So, when k equals 3, 15k equals 45.
705
The phrase "varies directly as" means that there is a number k such that w = k(2x - 1). From the results given for w = 9 when x = 2, 9 = k(4 - 1), or k = 3. Then when w is 15, 15 = 3(2x - 1), or 15 = 6x - 3, or 6x = 15 + 3, or x = 18/6 = 3.
y = x/k so 15 = 6/k making k = 0.4. when x = 10 y = 10/0.4 ie 25 alternatively y/x = k ie 15/6 = k so k = 2.5; y/10 = 2.5 making y = 25.
xy = is a constant (k) so k = -360. When y = - 36, x = 10
17
k/2 -k/5 -k/6 = 2 Multply all terms by 30: 15k -6k -5k = 60 4k = 60 k = 15
K j equals j when K is 1 or j is 0.
If P varies jointly as q, r and s - assume this is in direct proportion, then P ∝ qrs so P = kqrs where k is a constant.70 = k x 7 x 5 x 4 = 140k : k = 140/70 = 0.5When q = 2, r = 15 and s = 7 then,P = 0.5 x 2 x 15 x 7 = 105
k equals 5.6
1200°