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anygoal [31]
3 years ago
14

The proportional relationship between the number of sweaters a clothing store buys and sells, s, and the profit, in dollars and

cents, that it makes off those sweaters, can be represented by the equation p=15sp=15s. What is the profit in dollars and cents that the store makes per sweater?
Mathematics
1 answer:
Andre45 [30]3 years ago
5 0

Answer:

Step-by-step explanation:

Given the proportional relationship between the number of sweaters a clothing store buys and sells, s, and the profit, in dollars and cents, that it makes off those sweaters,  represented by the equation p=15s, in order to know the amount of profit the store made per sweater, we will substitute s = 1 into the equation and calculate p as shown;

p = 15s

if s = 1

p = 15(1)

p = 15

Hence the profit in dollars and cent made is 15 dollars

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Answer:

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3 years ago
The Surface Area of a square pyramid is 3600 ft. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cu
amm1812

Answer:

10,583 flexible cubes

9915 rigid cubes

Step-by-step explanation:

The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height

Surface area = A + 1/2·p·s

The volume of the pyramid = 1/3×A×h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30·√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, approximately 10,583 cubes

For rigid cubes we have

Given that the height of the pyramid = 30·√7

The slope of the pyramid = 30·√7/10 = 3·√7

So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)

The bottom can hold 400 cubes

The next layer can hold 19×19 = 361

3rd 361

4th 361

5th 324

6th 324

7th 324

8th 324

9th

Continuing, we get a total of about 9915 rigid cubes in the pyramid.

3 0
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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