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3 years ago

8

A college has a student to teacher ratio of 30 to 2. If there are 186 teachers at the college, how many students attend the coll

ege?

1 answer:

kakasveta [241]3 years ago

5 0

Answer: 2790 students

Step-by-step explanation: With the given information, you could set up a ratio of 30/2 = x/186. When you cross multiply that, you get 2790.

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A grain silo is approximately 85% full. A 55 lb sack of grain measures 2 cubic feet.

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Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the volume of the silo

The volume of the silo is equal to the volume of a cylinder plus the volume of a cone

so

$V=\pi r^{2}h_1+\frac{1}{3}\pi r^{2}h_2$

we have

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$h_1=16\ ft$

$h_2=12\ ft$

substitute

$V=(3.14)(8)^{2}(16)+\frac{1}{3}(3.14)(8)^{2}(12)$

$V=3,215.36+803.84=4,019.2\ ft^3$

Remember that

The silo is approximately 85% full

so

The volume of grain in the silo is

$0.85(4,019.2)=3,416.32\ ft^3$

step 2

Find the number of bags of grain

Divide the volume of grain in the silo by the volume of one sack

$3,416.32/2=1,708\ bags$

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