Answer:
m = 28
Step-by-step explanation:
Simplifying
0.1(0.5m + 6) = 2
Reorder the terms:
0.1(6 + 0.5m) = 2
(6 * 0.1 + 0.5m * 0.1) = 2
(0.6 + 0.05m) = 2
Solving
0.6 + 0.05m = 2
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.05m = 2 + -0.6
Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.05m = 2 + -0.6
0.05m = 2 + -0.6
Combine like terms: 2 + -0.6 = 1.4
0.05m = 1.4
Divide each side by '0.05'.
m = 28
Simplifying
m = 28
Erin bought 8 pounds of apples, and Katie bought 5.
8-5=3
8+5=13
Let, the numbers are: x, (24-x)
Let, P(x) denote their products. Then, we have:
P(x) = x(24-x) = 24x - x²
P'(x) = 24-2x
P''(x) = -2
Now, P'(x) = 0 ⇒ x = 12
Also,
P''(12) = -2 < 0
So, By second derivative test, x = 12 is the point of local maxima of p. Hence the product of the numbers is the maximum when the numbers are 12 and (24-12) = 12
So, In short that numbers would be 12,12
Hope this helps!
Answer:
|x−10|=5
The maximum and minimum time(x) gets subtracted by 10 resulting in the 5 minute time vary.
The original price would be $92.38
.25(73.90)=18.475
18.475+73.90 would be 92.38
