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Sladkaya [172]
4 years ago
10

A college has space for 580 students. The college estimates that 65% of the students who are admitted will attend the college. H

ow many students should be admitted?
Mathematics
1 answer:
marshall27 [118]4 years ago
4 0

Answer:

The number of students whom should be admitted is 377.

Step-by-step explanation:

Given:

College has space for 580 students.

The college estimates that 65% of the students who are admitted will attend the college.

Now, to find the number of students whom should be admitted.

Space for total number of students = 580.

Percentage of the students who are admitted = 65%.

Total number of students whom should be admitted = 65% of 580.

                                                     =\frac{65}{100}\times 580

                                                     =\frac{37700}{100}

                                                     =377.

Therefore, the number of students whom should be admitted is 377.

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Answer:

y=\frac{3}{2} x-6

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form:
  • y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
  • Parallel lines will always have the same slope but different y-intercepts.

<u>1) Determine the slope of the parallel line</u>

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

3x = 2y

Switch the sides

2y=3x

Divide both sides by 2 to isolate y

\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x

Now that this equation is in slope-intercept form, we can easily identify that \frac{3}{2} is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope \frac{3}{2} . Plug this into y=mx+b:

y=\frac{3}{2} x+b

<u>2) Determine the y-intercept</u>

y=\frac{3}{2} x+b

Plug in the given point, (4,0)

0=\frac{3}{2} (4)+b\\0=6+b

Subtract both sides by 6

0-6=6+b-6\\-6=b

Therefore, -6 is the y-intercept of the line. Plug this into y=\frac{3}{2} x+b as b:

y=\frac{3}{2} x-6

I hope this helps!

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