Find k if p=40 when q=5, r=4 and s=6.
42
To find the value of k when p=40, q=5, r=4, and s=6, we need to use the given information to form an equation.
The equation for p in terms of q, r, s, and k can be written as:
p = q * (r + s) + k
Substituting the given values into the equation, we have:
40 = 5 * (4 + 6) + k
Simplifying further:
40 = 5 * 10 + k
40 = 50 + k
To isolate k, we subtract 50 from both sides:
40 - 50 = k
-10 = k
Therefore, k = -10.
To find the value of k, we can use the given equation p=40 and the values of q, r, and s. Let's substitute these values into the equation and solve for k.
The equation p = kqrs
Substituting the given values:
40 = k * 5 * 4 * 6
Now, let's simplify the equation:
40 = 120k
To solve for k, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 120:
40/120 = (120k)/120
1/3 = k
Therefore, the value of k is 1/3 or approximately 0.3333.