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gayaneshka [121]
2 years ago
15

250 people attended the first showing of a play. Of the 250, 75 were adults above the age of 40, 50 were between the ages of 20

& 40, and 25 were teenagers ages 13-19. What percentage of the attendees were children 12 and under?a) 35% b) 25% c) 60% d) 40%
Mathematics
2 answers:
HACTEHA [7]2 years ago
6 0
The answer is D) 40% because when you add the people who were already accounted for, it comes to 150, which is 60% of 250. So the remaining attendees, children 12 and under, makes up the rest of the 250, which was 40%.
NNADVOKAT [17]2 years ago
5 0

Answer: d) 40%

Step-by-step explanation:

Given, Total people attended the first showing of a play = 250

Number of adults above the age of 40= 75

Number of people between the ages 20 & 40 = 50

Number of teenagers ages 13-19 =25

Total people other than children ( age of 12 and under) = 75+50+25 =150

Then, the number of children ( age of 12 and under) = 250-150=100

Now , the percentage of the attendees were children 12 and under will be

\dfrac{\text{Number of children}}{\text{Total attendees}}\times100\\\\=\dfrac{100}{250}\times100\\\\=40\%

Hence, the correct answer is d) 40%.

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Rob is a geologist. He is surveying a conical crater that was created by a meteor impact. From one end to another, the crater fo
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Answer:

  • equation: d(h) = 0.25|h -1600| -400
  • depth is 250 ft at 1000 ft and 2200 ft from the west edge

Step-by-step explanation:

The crater shape can be modeled by an absolute value function with a slope of 0.25. The vertex of the function will not be at (0, 0) but will be at (1600, -400). The usual methods of translating functions apply. Horizontal displacement of the vertex is subtracted from the independent variable; vertical displacement is added to the function value.

  d(h) = 0.25×|h -1600| -400

We know the horizontal displacement is 1600 ft, because the depth changes at a rate of 1/4 foot for each horizontal foot. A depth change of 400 feet will require 1600 horizontal feet to accomplish.

__

At a depth of 250 ft, the distance from the west edge can be found from ...

  -250 = 0.25|h -1600| -400

  150 = 0.25|h -1600| . . . . . . . . add 400

  600 = |h -1600| . . . . . . . . . . . multiply by 4

This resolves to two equations:

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  • 600 = h -1600   ⇒   h = 2200

The depth is 250 ft at distances of 1000 ft and 2200 ft from the west edge.

_____

<em>Comment on the equation</em>

We have chosen to make depths be negative numbers. If you want the equation to give positive numbers for depth, multiply it by -1:

  d = 400 -0.25×|h -1600|

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