Answer as a mixed number = 46 & 1/4
Answer as a decimal = 46.25
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Work Shown:
9 & 1/4 = 9 + 1/4 = 9 + 0.25 = 9.25
1/5 = 0.2
A bag of cashews weighs 9.25 pounds and one serving is 0.2 pounds.
Let x be the number of servings
1 serving = 0.2 pounds
x servings = 0.2x pounds after multiplying both sides by x
0.2x pounds represents the total bag's weight so,
0.2x = 9.25
x = 9.25/0.2
x = 46.25 answer in decimal form
x = 46 + 0.25
x = 46 + 1/4
x = 46 & 1/4 answer in mixed number form
This means we have 46 full servings plus an additional 1/4 of a serving.
Profit, or the surplus money after your costs are covered, is Revenue - Costs.
so in this case the profit P(x) = R(x) - C(x).
![\bf P(x)=(135x)-(93x+35000)\implies P(x)=135x-93x-35000 \\\\\\ P(x)=42x-35000 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{selling 5000 mp3s}}{P(5000)=42(5000)-35000}\implies P(5000)=210000-35000 \\\\\\ P(5000)=175000](https://tex.z-dn.net/?f=%5Cbf%20P%28x%29%3D%28135x%29-%2893x%2B35000%29%5Cimplies%20P%28x%29%3D135x-93x-35000%0A%5C%5C%5C%5C%5C%5C%0AP%28x%29%3D42x-35000%0A%5C%5C%5C%5C%5B-0.35em%5D%0A~%5Cdotfill%5C%5C%5C%5C%0A%5Cstackrel%7B%5Ctextit%7Bselling%205000%20mp3s%7D%7D%7BP%285000%29%3D42%285000%29-35000%7D%5Cimplies%20P%285000%29%3D210000-35000%0A%5C%5C%5C%5C%5C%5C%0AP%285000%29%3D175000)
Answer:
angle B is 38 degree
Step-by-step explanation:
In triangle ADC,
finding angle C
angle A + angle C = 110 degree (sum of two interior opposite angles are equal to the exterior angle formed)
46 + angle C = 110
angle C = 110 - 46
angle C = 64 degree
In triangle ABC
finding angle B
angle A + angle B + angle C = 180 degree (sum of interior angles of a triangle)
78 + angle B + 64 = 180
142 + angle B = 180
angle B = 180 - 142
angle B = 38 degree
Yes, considering that the ball cannot have two different heights at the same exact time.
