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DaniilM [7]
3 years ago
7

Alan, david and shari are running for president of their high school. There were a total of 1,000 votes cast for president. Davi

d received 1/4 of the votes, while shari earned 2/5 of the votes. Alan received the remaining votes. What was the total number of votes Alan received?
Mathematics
1 answer:
vekshin13 years ago
7 0

Answer:

Alan received 350 votes

Step-by-step explanation:

David received 250 votes

Shari received  400 votes

1,000 - 250=750

750 - 400 = 350

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Answer:

<em>The dimensions of the area will be 8 ft x 40 ft</em>

Step-by-step explanation:

<u>Area and Perimeter</u>

The perimeter can be understood as the distance measured around a shape. The area gives us the idea of the space occupied by the shape. Being w and l the width and length of a rectangle, the perimeter and areas can be computed as follows

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The dog trainer has 96 ft of fencing to cover a 320 ft^2 rectangular area. This means that

wl=320

2w+2l=96

A system of equations is formed

\left\{\begin{matrix}wl=320\\ 2w+2l=96\end{matrix}\right

We divide the last equation by 2

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Replacing in the first equation

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Operating and arranging

l^2-48l+320=0

(l-8)(l-40)=0

We have two possible answers

l=8,\ l=40

Which gives us

w=40,\ w=8

In any case, the dimensions of the area will be 8 ft x 40 ft

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