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3 years ago

8

17. A local university accepted 2,300 students out of 4,500 applicants for admission. What was the acceptance rate, expressed as

a percent?

1 answer:

pochemuha3 years ago

4 0

The acceptance rate is 51.1%

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A community is building a square garden with a walkway around the perimeter with the design shown at the right. Find the side le

castortr0y [4]

Answer:

x = 17 ft ... ( nearest 10th of a foot )

Step-by-step explanation:

Given:-

- The side length of inner square = x ft

- The side length of outer square = 20 ft

Find:-

Find the side length of the inner square that would make the area of the inner square equal to 75% of the total area of the garden.

Solution:-

- Compute the area of the inner square (A_i) using side length (x):

A_i = side length ^2

A_i = x^2 ft^2

- The area of the entire garden is the area (A_o) of the outer square with side length equal to 20 ft.

A_o = side length ^2

A_o = 20^2

A_o = 400 ft^2

- The 75% of the entire garden is :

(75 / 100)*A_o

(75 / 100)*400

300 ft^2

- The area of the inner square is 75% of the entire garden the mathematical expression for it is:

A_i = 300 ft^2

x^2 = 300 ft^2

- The side length required for the inner square is the solution to the quadratic equation above:

x = √300

x = 17.320508ft.

x = 17 ft ... ( nearest 10th of a foot )

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3 years ago

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Keith_Richards [23]

Answer:

You seem to have not posted the whole problem

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2 years ago

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Ralph owns the farmer’s silo shown. The silo is a cylinder with a half-sphere as the roof. He wants to fill it up with corn for

IgorC [24]

Answer:

Half-Sphere Volume = [( π •diam³) / 6] / 2

Cylinder Volume = ¼ • π • diam² • height

Cylinder height = 19 meters

Sphere diameter = 10 meters

Cylinder portion = ¼ • π • diam² • height

Cylinder portion volume = ¼ • π • 10² • 19

Cylinder portion volume = 1,492.26

Half-Sphere Volume = [( PI * 10^3) /6 ] / 2

Half-Sphere Volume = 261.80

Total Volume = 1,492.26 + 261.80 = 1,754.06 cubic meters

corn is $1.13 per cubic meter

total cost = 1,754.06 * $1.13 = 1,982.08

Answer is C 1,981.08

Step-by-step explanation:

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2 years ago

To prepare for a presentation, pete colored 1/2 of the poster and rebecca colored 1/3 of the poster, what fraction still needs t

WARRIOR [948]

Pete= 1/2

rebbeca= 2/3

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3 years ago

We're working with single variable equations and I'm okay at them, but I'm rusty when it comes to using it with fractions. If an

jasenka [17]

Answer: v=-18/5

Step-by-step explanation:

Assuming you want to solve for v, we need to use our algebraic properties.

$\frac{v}{3}+2=\frac{4}{5}$ [subtract both sides by 2]

$\frac{v}{3}=-\frac{6}{5}$ [multiply both sides by 3]

$v=-\frac{18}{5}$

Now, we know that v=-18/5.

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3 years ago