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Shalnov [3]
3 years ago
7

A large university accepts 60% of the students who apply. Of the students the university accepts, 25% actually enroll. If 10,000

students apply, how many actually enroll?​
Mathematics
1 answer:
Alja [10]3 years ago
6 0

Answer:

1500 students

Step-by-step explanation:

To do this you must figure how many people the university accepts by times the no. of students applying by the percentage that are accepted

10,000 X 60% = 6000 students

You then figure out the number of students that actually enrols by doing

no. of students accepted X 25%

6000 X 25% = 1500 students

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Family Video charges $10 for
Irina18 [472]

Answer:

4 movies, $20

Step-by-step explanation:

Given data

Family Video

charges $10 for a monthly membership and

$2.50 per movie

let the number of movies be x

and the charge for x movies be y

y= 10+2.5x----------1

Babe's  Movies

charges a $12

membership and $2 per

movie.

let the number of movies be x

and the charge for x movies be y

y= 12+2x----------2

equate 1 and 2

10+2.5x= 12+2x

collect like terms

12-10= 2.5x-2x

2= 0.5x

x= 2/0.5

x= 4 movies

put x= 4 in equation 1 or 2

y= 12+2x----------2

y= 12+2*4

y= 12+8

y= $20

4 0
3 years ago
Please answer this question, 30 points and will give brainliest!
kotykmax [81]

Answer:

∠C = 80 ° ; ∠ T = 40°.

Step-by-step explanation:

Triangle CRS is isosceles because it has two sides of equal length. (CR and CS are radii).

An isosceles triangle has also two equal angles, which means that ∠CRS= ∠CSR.

Therefore, ∠C = 80 ° (180° – 50° - 50°)  because the sum of angles in a triangle is 180 degrees.  

∠C is the central angle of the arc RS.

∠ T is the inscribed angle of the arc RS.

An inscribed angle is half of a central angle that subtends the same arc on the circle, so the inscribed angle ∠ T is half of the central angle ∠C. Since ∠C = 80 °, we can easily determine the measure of ∠ T:  

80° divided by 2 is 40°.

6 0
3 years ago
Question
IRINA_888 [86]

Answer:

m=\frac{5}{3}

Step-by-step explanation:

Given the following question:

Point A = (-2, -9) = (x1, y1)
Point B = (1, -4) = (x2, y2)

To find the slope of a line, we will need to use the formula for slope or rise over run.

m=\frac{y2-y1}{x2-x1}
m=\frac{-4--9}{1--2} =\frac{5}{3}
m=\frac{5}{3}

The slope of the given line is indeed "5/3."

Hope this helps.

7 0
2 years ago
A pole that is 3.1 m tall casts a shadow that is 1.35 m long at the same time a nearby building casts a window that is 37.75 m l
Veronika [31]
Okay so you have to set it up as 3.1 over 1.35 and 37.75 over x then you solve for that by doing 37.75 times 1.35 which is 50.9625 and then divide by 3.1 and you get 16.4
                                                       
8 0
3 years ago
Assume f is a one to one function of f(x)= 4-6x find f^-1(-32)​
OleMash [197]

Answer:

f^-1(-32)=6

Step-by-step explanation:

<u>Find the inverse of the function f(x)=4-6x:</u>

f(x)=4-6x

y=4-6x

x=4-6y

x-4=-6y

(x-4)/-6=y

-1/6x+2/3=y

y=-1/6x+2/3

f^-1(x)=-1/6x+2/3

<u>Plug in f^-1(-32) for f^-1(x) and simplify:</u>

f^-1(-32)=-1/6(-32)+2/3

f^-1(-32)=16/3+2/3

f^-1(-32)=18/3

f^-1(-32)=6

5 0
3 years ago
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