Answer:
Simplifying
(20m + 3) + -1(7m + -5) = 0
Reorder the terms:
(3 + 20m) + -1(7m + -5) = 0
Remove parenthesis around (3 + 20m)
3 + 20m + -1(7m + -5) = 0
Reorder the terms:
3 + 20m + -1(-5 + 7m) = 0
3 + 20m + (-5 * -1 + 7m * -1) = 0
3 + 20m + (5 + -7m) = 0
Reorder the terms:
3 + 5 + 20m + -7m = 0
Combine like terms: 3 + 5 = 8
8 + 20m + -7m = 0
Combine like terms: 20m + -7m = 13m
8 + 13m = 0
Solving
8 + 13m = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 13m = 0 + -8
Combine like terms: 8 + -8 = 0
0 + 13m = 0 + -8
13m = 0 + -8
Combine like terms: 0 + -8 = -8
13m = -8
Divide each side by '13'.
m = -0.6153846154
Simplifying
m = -0.6153846154Step-by-step explanation:
7 should be the answer.
7 doubled is 14. Hope this helps
Answer:
y = (2x + 15)/3
Step-by-step explanation:
3y = 2x + 15
Divide both sides by 3,
3y/3 = 2x/3 + 15/3
Simplify,
y = (2x + 15)/3
The goal is to get the volume as large as possible while the surface area is made as small as possible. Why? Because the volume is the amount of stuff you can hold and the surface area is the amount of material to make the container.
Consider an example of making a cup. The inside portion is the amount the cup can hold. The more liquid, the better. The cup makers want to use as little material as possible so that they reduce costs. If the cup makers produce a cup that has volume of 10 cubic inches and uses 10 square inches of material, then the surface area to volume ratio is 10:10 which reduces to 1:1. A more efficient cup is made if that same volume (10 cubic inches) can be made for less material say 5 square inches to make the ratio now 5:10 which reduces to 1:2.
So in summary, reducing the surface area to volume ratio will make more sense economically as the company makes more money while reducing costs (therefore increasing overall profit)
Answer: 14
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Explanation:
Using the intersecting chord theorem, we can say,
AP*PB = CP*PD
(x+2)*6 = 7*x
6x+12 = 7x
6x+12-6x = 7x-6x
12 = x
x = 12
If x = 12, then,
AP = x+2
AP = 12+2
AP = 14
