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Sonbull [250]
3 years ago
7

In 2016 49% of all degrees granted were bachelors degrees if 1,920,718 students earned bachelors degrees how many total degrees

were granted that year
Mathematics
1 answer:
JulsSmile [24]3 years ago
4 0

Answer:

<h2>3919832.65306</h2>

Step-by-step explanation:

This problem is focused on percentages.

Now given that 49% of a number is  1,920,718

we can say let the number be x

so 49% of x=  1,920,718

now expressing this problem mathematically we have

(49/100)*x=  1,920,718

0.49x= 1,920,718

divide both sides by 0.49 we have

x=  1,920,718/0.49

x= 3919832.65306

Therefore the total that were granted degree that year was 3919832.65306

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What is 18/30 in simplest form?
qaws [65]
To simply this, you just divide the numerator and denominator by its GCF (Greatest common factor)

Factors of 18 : 1,2,3,6,9,18
Factors of 30 : 1,2,3,5,6,10,15,30
As you can see, the great common factors of 18 and 30 is 6.

So divide 18 by 6 and 30 by 6, and you get 3 and 5

Therefore, the simplest form is 3/5
3 0
3 years ago
Read 2 more answers
Write a system of equations in x and y describing the situation. Do not solve the system. Keiko has a total of $ 5600 comma$5600
IgorLugansk [536]

Answer:

The correct answers are x + y = 5600 and x - y = 700.

Step-by-step explanation:

Write a system of equations in x and y describing the situation. Do not solve the system.

Keiko has a total of $ 5600, which she has invested in two accounts.

Let x be the amount of money in the larger account and y be the amount of money in the smaller​ account.

So, Keiko has invested her $5600 in two accounts x and y.

Thus x + y = 5600.

Also, given by the problem, the larger account (x) is $ 700 greater than the smaller account (y).​

Thus x - y = 700.

Thus the two system of equation in x and y describing the given situation are

x + y = 5600 and x - y = 700

8 0
3 years ago
A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0,-1) The function is not a
mezya [45]

Answer:

  • See the graphs attached and the explanation below

Explanation:

The most simple sine function, considered the parent function, is:

     y=sin(x)

That function has:

  • Midline, also known as rest or equilibrium position: y = 0
  • Minimum: - 1
  • Maximum: 1
  • Amplitude: the distance between a minimum or a maximum and the midline = 1
  • period: the interval of repetition of the function = 2π

The more general sine function is:

             y=Asin(Bx+C)+D

That function has:

  • Midline: y = D (it is a vertical shift from the parent function)
  • Minimum: - A + D
  • Maximum: A + D
  • Amplitude: A
  • period: 2π/B
  • phase shift: C (it is a horizontal shift of the from the parent function)

Now, you have to draw the sine function with the given key features:

  • Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2
  • Amplitude, A = 3
  • midline y = - 1 ⇒ D = - 1
  • y-intercept = (0, -1)

Substitute the know values and use the y-intercept to find C:

       

            y=3sin(2x/\pi+C)-1

Substitute (0, -1)

             

              -1=3sin(0+C)-1\\ \\ 3sin(C)=0\\ \\ sin(C)=0\\ \\ C=0

Hence, the function to graph is:

              y=3sin(\pi x/2)-1

To draw that function use this:

  • Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
  • Minima: 3(-1) - 1 = - 3 - 1 = -4
  • y-intercept: (0, - 1)
  • x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
  • first point of the midline: (0, -1) it is the same y-intercept

With that you can understand the graphs attached.

4 0
3 years ago
Find the slope of the line below.
creativ13 [48]
A.
-  \frac{4}{5}
6 0
3 years ago
Choose the option with the correct name of the segment/line/ray shown.
Sav [38]

Answer:

angel bisector

Step-by-step explanation:

this pic explains why

6 0
3 years ago
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