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Nonamiya [84]
3 years ago
5

There are 200 end of the year school dance tickets available. Students who have perfect attendance are able to purchase them in

advance. If 18 tickets were purchased in advance, then what percent of the tickets were purchased in advanve are able to purchase?
Mathematics
1 answer:
ivanzaharov [21]3 years ago
6 0

Answer:

9% of tickets were sold in advance for the dance

Step-by-step explanation:

In order to find the percent of the tickets purchased in advance, you have to divide the number of tickets already purchased by the total number of tickets.

18 / 200 = 0.09

Now, you will multiply this number by 100 to get the percentage.

0.09 * 100 = 9

9% of the tickets that were purchased in advance are able to purchase.

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
Approximate the change in the volume of a sphere when its radius changes from r= 5ft to r= 5.1ft (v(r)= 3/4 pi r^3)?
leva [86]

Answer:

18.03 cubic feet

Step-by-step explanation:

Hello,

Step 1

find the volume of the sphere when radius= 5 ft

v(r)= \frac{3}{4} \pi r^3\\v(5)= \frac{3}{4}\pi (5\ ft)^3\\v(5)= \frac{3}{4}\pi *125\ ft^{3} \\v(5)=294.52\ cubic\ feet\\

Step 2

find the volume of the sphere when radius= 5.1 ft

v(r)= \frac{3}{4}\pi r^3\\v(5.1)= \frac{3}{4} \pi (5.1\ ft)^3\\v(5.1)= \frac{3}{4}\pi *132.651\ ft^{3} \\v(5.1)=312.551\ cubic\ feet\\\\

Step 3

Compare the Volumes to find the change

\frac{v(r_{2})}{v(r_{1})} =\frac{312.551}{294.52} =1.06

the volumen of the sphere with radius = 5.1 is 1.06 times bigger than the first one(r=5)

Now, find the change

change= {v(r_{2})-{v(r_{1})}} \\change=312.551\ cubic\ feet\ -294.52 cubic feet \\ change=18.031\ cubic\ feet

change=18.03 cubic feet

Have a great day.

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Step-by-step explanation:

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