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m_a_m_a [10]
3 years ago
6

Yellowstone National Park is a popular field trip destination. This year the senior class at High School A and the senior class

at High School B both planned trips there. The senior class at High School A rented and filled 12 vans and 6 buses with 306 students. High School B rented and filled 12 vans and 9 buses with 369 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
Mathematics
1 answer:
STALIN [3.7K]3 years ago
8 0

Answer:

Your answer is.....

A Van carries 15.5 or about 16 students

A bus carries 20 students

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

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The answer is 0-5+-6.

EXPLANATION:

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A conical pile of road salt has a diameter of 112 feet and a slant height of 65 feet. After a storm, the linear dimensions of th
QveST [7]

we know that

the volume of a cone is equal to

V= \frac{1}{3} \pi r^{2}h

in this problem

the radius is equal to

r= \frac{112}{2}= 56ft

1) <u>Find the height of the cone before the storm</u>

Applying the Pythagorean Theorem find the height

h^{2} = l^{2}-r^{2}

l=65 ft

h^{2} = 65^{2}-56^{2}

h^{2} = 1,089

h=33 ft

2) <u>Find the volume before the storm</u>

V= \frac{1}{3}*\pi* 56^{2}*33

V=34,496\pi\ ft^{3}

3) <u>Find the volume after the storm</u>

After a storm, the linear dimensions of the pile are 1/3 of the original dimensions

so

r=(56/3) ft

h=(33/3)=11 ft

V= \frac{1}{3}*\pi* (56/3)^{2}*11

V= 1,277.63\pi\ ft^{3}

<u>4) Find how this change affect the volume of the pile</u>

Divide the volume after the storm by the volume before the storm

\frac{1,277.63 \pi }{34,496 \pi } = \frac{1}{27}

therefore

<u>the answer part a) is</u>

The volume of the pile after the storm is \frac{1}{27} times the original volume

<u>Part b)</u>  Estimate the number of lane miles that were covered with salt

5) <u>Find the amount of salt that was used during the storm</u>

=34,496 \pi - 1,277.63 \pi \\= 33.218.37 \pi \\= 104,358.59\ ft^{3}

6) <u>Find the pounds of road salt used</u>

104,358.59*80=8,348,687.2\ pounds    

7) <u>Find the number of lane miles that were covered with salt</u>

8,348,687.2/350=23,853.39 \ lane\ miles  

therefore

<u>the answer part b) is</u>

the number of lane miles that were covered with salt is 23,853.39 \ lane\ miles

<u>Part c) </u>How many lane miles can be covered with the remaining salt? Round your answer to the nearest lane mile

the remaining salt is equal to 1,277.63\pi\ ft^{3}

1,277.63\pi\ ft^{3}=4,013.79\ ft^{3}

8) <u>Find the pounds of road salt </u>

4,013.79*80=321,103.20\ pounds

9) <u>Find the number of lane miles </u>

321,103.20/350=917.44 \ lane\ miles

therefore

<u>the answer part c) is</u>

the number of lane miles is 917 \ lane\ miles

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vichka [17]
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The manager of a plant nursery wants to arrange 1207 plants in 7 equal rows. how many plants will each row have? Will there be a
Anika [276]
172 per row and some left over
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Plzzzzzzzzzzz helppppppo meeeeee
meriva

Answer:

2 kilograms=2000 grams

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Step-by-step explanation:

6 0
3 years ago
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