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DanielleElmas [232]
3 years ago
15

1.A pizza place offers 6 different cheeses and 12 different toppings. In how many ways can a pizza be made with 1 cheese and 3 t

oppings?
2.How many ways can you purchase 5 CDs if there are 6 to choose from, 2 cassettes if there are 5 to choose from, and 4 DVDs if there are 8 to choose from?
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
4 0
1.) You have 12 toppings. You choose one topping--that leaves you with 11 toppings. You choose another--that leaves 10. 12×11×10 = 1,320.
Multiply 1,320 topping choices by 6 cheeses to get 7,920 total combinations.

2.) (Though I'm less sure of these)
CDs: 6×5×4×3×2 = 720
Cassettes: 5×4 = 20
DVDs: 8×7×6×5 = 1680
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You are planning to take a group of friends to the movies for your birthday. The local movie theater charges $12.99 per person.
enot [183]
The answer is 6 People. You make the two equations first 12.99x and 8.99x+20. And then make them equal each other 12.99x = 8.99x+20. Then you use algebra to solve for the x and you get an answer of 5. That is the number of people that would cause the two prices to break even (be the same price). So in order for the group rate to be the better deal you need 6 people to attend.
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3 years ago
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A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon
zmey [24]

Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

V = \frac{4\pi r^3}{3}

Applying implicit differentiation, the rate of change is given by:

\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}

In this problem, we have that:

\frac{dV}{dt} = 500, r = 70

Hence the rate of change of the radius is given as follows:

\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}

19600\pi\frac{dr}{dt} = 500

\frac{dr}{dt} = \frac{500}{19600\pi}

\frac{dr}{dt} = 0.0081

The radius is increasing at a rate of 0.0081 cm per minute.

More can be learned about implicit differentiation at brainly.com/question/25608353

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4 0
2 years ago
The top two most profitable Fortune 500 companies in 2016 were Apple and JP Morgan Chase &amp; Co. JP Morgan Chase &amp; Co.'s r
svetlana [45]

Answer:

a. 53.4

b. 24.4

Step-by-step explanation:

a+j=77.8

j=a-29

a+j=77.8

-a+j=-29

2j=48.8

j=24.4

a+24.4=78.8

a=53.4

5 0
3 years ago
Find each angle measure
tigry1 [53]

Answer:

1=125

2=55

3=55

4=125

5=125

6=55

7=55

8=125

Step-by-step explanation:

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2 years ago
Using the drawing, what is the vertex of angle 4? A. B B. C C. A D. D
fomenos
You cannot answer this question without a picture.
8 0
3 years ago
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