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1 year ago

In a run-off election between two candidates, a total of 25,200 votes were cast. If 300 voters had switched

Mathematics

2 answers:

bearhunter [10]1 year ago

7 0

Answer:

The winner received 12,800 votes and the loser received 12,400.

Step-by-step explanation:

Divided the votes in half, then took 100 votes from the winner, defined W, and added 100 to the loser, defined L to give the Loser a lead of 200. Then switch 300 votes from the losers number to the winner. You'll end up with 12,800 and 12,400 and you can check by switching 300 voters from winner (12,800) to loser (12,400) to make the loser win by 200 votes. 12,800 and 12,400 also add up to 25,200.

alekssr [168]1 year ago

6 0

Step-by-step explanation:

yikes that's hard GG bro

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2 years ago

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

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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

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

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Applying the Pythagorean Theorem find the height

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

$l=65 ft$

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

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3) Find the volume after the storm

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

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4) Find how this change affect the volume of the pile

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

therefore

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

Part b) Estimate the number of lane miles that were covered with salt

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7) Find the number of lane miles that were covered with salt

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

therefore

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

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

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

8) Find the pounds of road salt

$4,013.79*80=321,103.20\ pounds$

9) Find the number of lane miles

$321,103.20/350=917.44 \ lane\ miles$

therefore

the answer part c) is

the number of lane miles is $917 \ lane\ miles$

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denis-greek [22]

Answer:

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Step-by-step explanation:

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