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Anvisha [2.4K]
3 years ago
13

Five years ago, a college admitted 1,440 new students. Last year, the college admitted one-third more new students than it did f

ive years ago. This year, the college admitted 62.5 percent more students than last year. How many students did the college admit this year?
Mathematics
1 answer:
horsena [70]3 years ago
3 0
5 yrs ago : 1440 students admitted
last year : admitted 1/3 more.....1440 + 1/3(1440) = 1440 + 480 = 1920 admitted
this year : admitted 62.5% more.....1920(1.625) = 3120 admitted <==
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I need to do this problem by completing the square . help please
sukhopar [10]

Answer:

the roots are n = 1 + √15 and n = 1 - √15

Step-by-step explanation:

In this case I would immediately rewrite n² - 2n - 5 = 10 as

n² - 2n                  = 10 + 5 = 15.

To complete the square:  Identify the coefficient of n (it is -2). Halve that, obtaining -1, square this result, and then add the outcome (1) to and subtract the outcome (1) to n² - 2n:

n² - 2n  <em>+ 1 - 1   </em>             = 15

Next, rewrite n² - 2n  + 1 as the square of a binomial:

(n - 1)² = 15

Finally, take the square root of both sides:

n - 1 = ±√15

so that the roots are n = 1 + √15 and n = 1 - √15

8 0
3 years ago
7(g + 2h)<br> What is an equivalent expression
nika2105 [10]

Answer:

7g+14h

Step-by-step explanation:

hope it helped you

5 0
2 years ago
Read 2 more answers
A cylinder has a diameter of 14 cm and a volume of 112 pi.
vekshin1
Height of cylinder is 2.285 centimeters

Diameter = 14 cm
Radius = 7 cm (14/2)
Volume = 112 pi

Volume of cylinder = pi(radius)^2 h
112pi = pi(7)^2 h
Divide both sides
112 = 49 h
h = 112/49
h = 2.285 centimeters
8 0
3 years ago
Find the volume of a right circular cone that has a height of 11.7 m and a base with a
yulyashka [42]

Answer:

volume of the cone = 247.98 cubic meter

Step-by-step explanation:

Height of the cone= 11.7 m

Circumference= 9 m

Radius= 9/2= 4.5 m

Volume of the cone;

            =\pi r^2\frac{h}{3}

As, \pi =\frac{22}{7}= 3.14

Putting the values in the formula:

Volume of the cone  is:

         =3.14*(4.5*4.5)*\frac{11.7}{3} \\\\=3.14*(4.5*4.5)*3.9\\\\=3.14*20.25*3.9\\\\=3.14*78.98\\\\=247.98m^3

The volume of the cone is 247.98 cubic meter

8 0
3 years ago
Which shows the number 27 factored into prime numbers?   A. 2 · 3 · 3   B. 1 · 3 · 3 · 3   C. 3 · 3 · 3   D. 3 · 9
Vilka [71]

Hi!

<h3>To find the prime factorization of a number, keep dividing by the smallest factor that goes into it. </h3>

27/3 = 9

9/3 = 3

3/3 = 1

<u>3 · 3 · 3 = 27</u>

<h2>The answer is C. 3 · 3 · 3</h2>

Hope this helps! :)

-Peredhel

8 0
3 years ago
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