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timurjin [86]
3 years ago
15

The volume of a cone is 16x cubic inches, Its height is 12 inches. What is the radius of the cone?

Mathematics
1 answer:
Dimas [21]3 years ago
4 0
The radius would be 2
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Katy's favorite rides at the amusement park are the roller coasters and water slide. The wait time for the roller coaster is 25
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Answer:

She went on the slide 8 times and on the roller coaster 4 times

Step-by-step explanation:

We convert each statements to a mathematical equation.

Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.

Mathematically, R + S = 12. ........(i)

Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.

To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.

Mathematically, 25R + 10S = 180 .......(ii)

Here we now have two equations that we can solve simultaneously.

From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:

25(12 - s) + 10s = 180

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300 - 15s = 180

15s = 300 - 180

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S = 120/15

S = 8

S = 8 , and R = 12 - S = 12 - 8 = 4

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