Answer:
24.5
Step-by-step explanation:
Since 180 is double 90 divide 45 by 2 and you'll get 24.5
<h3>
Answer: 20% increase</h3>
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Explanation:
A = old value = 110
B = new value = 132
C = percent change
C = 100*(B-A)/A
C = 100*(132-110)/110
C = 20%
The positive C value means we have a percent increase, which corresponds to the fact that A = 110 increases to B = 132.
The B-A = 132-110 = 22 portion up top indicates that the increase is 22 pounds, which when divided over 110, gets us 22/110 = 0.20 = 20%
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Checking the answer:
20% of 110 = 0.20*110 = 22
She's able to lift 22 extra pounds on top of the 110 pounds she can handle previously, so she can now lift 110+22 = 132 pounds. The answer is confirmed.
Y=3.6x is direct variation. The constant is 3.6
8y=2x is the same as y=0.25x. It is direct variation, and the constant is 0.25
1. Assuming "dinners made" is on the y-axis, DV is y=2x. The constant is 2
2. This is not direct variation, and therefore does not have a constant of variation
We need to get the limits first. When y = 0
0 = 64x - 8x^2
x = 0 and x = 8
The volume is
V = ∫ y dx from 0 to 8
V = ∫ (64x - 8x^2) dx from 0 to 8
V = 32x^2 - 8x^3/3 from 0 to 8
V = 682.67<span />
