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Arada [10]
3 years ago
11

At an university 70% of the students who attend stay on campus. If 1,380 of the students who attend live off campus, what is the

total number of students who attend the university?
Mathematics
1 answer:
Alborosie3 years ago
7 0

Answer:

4600

Step-by-step explanation:

We can write a proportion to find the total amount who attend university using the information given. A proportion is two equivalent ratios set equal to each other. Since 70% live on campus, then 30% live off campus and we are told that number is 1,380.

\frac{30}{100}=\frac{1380}{y}

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.

30y=100(1380)

30y=138000

y=4600.

There are 4600 students who attend the university.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

From Linear Algebra, we define the dilation by the following definition:

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Where:

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P'(x,y) - Dilated point, dimensionless.

If we know that O(x,y) = (0,0), k = 3, A(x,y) = (-7,-6), B(x,y) = (-5,-2) and C(x,y) =(-1,-5), then dilated points of triangle ABC are, respectively:

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A'(x,y) = (0,0) + 3\cdot [(-7,-6)-(0,0)]

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B'(x,y) = (0,0) + 3\cdot [(-5,-2)-(0,0)]

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C'(x,y) = (0,0) +3\cdot [(-1,-5)-(0,0)]

C'(x,y) = (-3,-15)

The rule of dilation is:

P'(x,y) = 3\cdot P(x,y) (5)

The vertices of the dilated triangle are A'(x,y) = (-21, -18), B'(x,y) = (-15,-10) and C'(x,y) = (-3,-15), respectively.

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artcher [175]

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