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gavmur [86]
3 years ago
9

Using data compiled by the Admissions Office at an imaginary university, college admissions officers estimate that 65% of the st

udents who are offered admissions to the freshman class at the university will actually enroll.
(a) Find an equation that expresses the relationship between the number of students who actually enroll (y) and the number of students who are offered admission to the university (x).



(b) If the desired freshman class size for the upcoming academic year is 1300 students, how many students should be admitted?
students
Mathematics
1 answer:
aliya0001 [1]3 years ago
4 0

Answer:

a) y= 0.65x

b) 2000

Step-by-step explanation:

a) If x=the number of students who are offered admission to the university and y =the number of students who actually enroll  the ratio y/x= 65/100

So  if we multiply both sides by x, we will get y=0.65 x

b) If y= 0.65x and we want y= 1300, replace this into the equation , then we have \frac{1300}{x} = 0.65

Then x=  \frac{1300}{0.65}, that is x= 2000

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Step-by-step explanation:

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3 years ago
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Add and subtract the rational expressions. 7x+5/x-1 -(8x1/x-1+2x-4/x-1) Which statements are true about the process for adding a
anzhelika [568]

Answer:

2. The denominator of the fully simplified expression will be x – 1.

4. The numerator of the fully simplified expression will be –3x + 10.

Step-by-step explanation:

Given the rational expression

\dfrac{7x+5}{x-1} -(\dfrac{8x-1}{x-1} +\dfrac{2x-4}{x-1} )

Let us first simplify before making our deductions.

Opening the brackets

\dfrac{7x+5}{x-1} -(\dfrac{8x-1}{x-1} +\dfrac{2x-4}{x-1} )=\dfrac{7x+5}{x-1} -\dfrac{8x-1}{x-1} -\dfrac{2x-4}{x-1}

Taking LCM

=\dfrac{7x+5-(8x-1)-(2x-4)}{x-1}

Opening the brackets and simplifying

=\dfrac{7x+5-8x+1-2x+4}{x-1}\\\text{Collecting like terms in the numerator}\\=\dfrac{7x-8x-2x+5+1+4}{x-1}\\=\dfrac{-3x+10}{x-1}

The following statements are therefore true:

2. The denominator of the fully simplified expression will be x – 1.

4. The numerator of the fully simplified expression will be –3x + 10.

5 0
3 years ago
If two lines are perpendicular, which statement must be true? A.The slopes of the two lines are equal. B.The slopes of the two l
dangina [55]

Answer:

Option D is correct that is The Slopes of two lines are negative reciprocals.

Step-by-step explanation:

Perpendicular lines are the lines which intersect each other at right angle or make 90° angle with each other.

we that the Slope of perpendicular lines are equal to -1

Therefore, Option D is correct that is The Slopes of two lines are negative reciprocals.

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3 years ago
Solve the system of linear equations by graphing. y = –5/2 x – 7 x + 2y = 4 What is the solution to the system of linear equatio
Anestetic [448]

Keywords

system; linear equations; graphing; solution

we have

y=-\frac{5}{2}x-7 -------> equation A

x+2y=4

x=4-2y ----> equation B

The <u>system</u> of <u>linear equations</u> is composed of equation A and equation B

Substitute the equation B in equation A

y=-\frac{5}{2}[4-2y]-7

y=-10+5y-7

4y=17

y=17/4=4.25

Find the value of x

x=4-2[17/4]=-4.5

The<u> solution</u> is the point (-4.5,4.25)

Using a <u>graphing</u> tool

see the attached figure

therefore

the answer is the option A

(-4.5,4.25)


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3 years ago
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you want to put 520 quarters in coin wrappers. you need one wrapper for every $10 in quarters. write an equation you can use to
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This is the proper equation because there are 40 quarters in $10. Thus, if we could only fit $10 worth of quarters in each wrapper, we can only fit 40quarters in each wrapper. C represents the amount of wrappers we will need.

Hope this helps!
6 0
3 years ago
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