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Nastasia [14]
3 years ago
14

26. An art studio charges $115 per class. With a $50

Mathematics
1 answer:
Anni [7]3 years ago
4 0

Answer: This is an Algebra problem that requires functions, and possibly some graphing. So let's set up some functions for each and see where they intersect.

Function 1: y=115x,

Function 2: y=90x+50

Let's set these functions equal: 115x=90x+50, so 25x=50, x=2.

After 2 classes the cost will be the same.

Step-by-step explanation:

What I've done here is modeled some functions. The first function is simple. It is just $115 per class hence the function y=115x where x represents classes y represents money.

The second function is y=90x+50 because I'm assuming there is a one time payment for the membership so 50 is just a constant and 90x represents money spent for the class.

Hope this helps!

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Answer:

The volume of the cylinder is 900 cubic inches

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Step-by-step explanation:

Given

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The volume of a cone is calculated as:

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The volume of a cylinder is calculated as:

V_2 = \pi r^2h

Since, the cone and cylinder have the same dimensions, we can substitute \pi r^2h for V_2 in V_1 = \frac{1}{3}\pi r^2h

So, we have:

V_1 = \frac{1}{3} * V_2

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Substitute 300in^3 for V_1

V_2 = 3 * 300in^3

V_2 = 900in^3

<em>Hence, the volume of the cylinder is 900 cubic inches</em>

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Step-by-step explanation:

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