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Dmitriy789 [7]
2 years ago
11

Thirty percent of the students in a high school face a disciplinary action of some kind before they graduate. Of those students,

40% go on to college. Of the 70% who do not face a disciplinary action, 60% go on to college. What percent of the students from the high school go on to college?
a. 12%
b. 42%
c. 50%
d. 54%
Mathematics
1 answer:
MAXImum [283]2 years ago
7 0

Answer:

D. 54%

Step-by-step explanation:

For simplicity, lets assume we have 100 students in high school.

30% of students face disciplinary action, therefore;

⇒ (30/100) x 100 = 30 students.

of these 30 students, 40% go to college. therefore;

⇒ (40/100) x 30 = 12 students (go to college)

Also 70% of students do not face disciplinary action, therefore;

⇒ (70/100) x 100 = 70 students.

of these 70 students. 60% go to college. therefore;

⇒ (60/100) x 70 = 42 students (go to college)

Total number of students who go to college

⇒ 12 + 42 =  54 students

% of students who go to college

⇒ 54/100 = 54%

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Recunoasteti triunghiurile isoscele din figurile de mai jos:
yarga [219]

Answer:

<h2>The right side triangle is isosceles and equilateral.</h2>

Step-by-step explanation:

In this problem we need to draw isosceles triangles with AB=AC. The triangle is attached.

Also, we have to identify which triangle is isosceles based on the image. The triangle on the left is isosceles and equilateral. Remember that a isosceles triangle is defined by the congruence between at least two sides, in this case, we have three congruent sides, which makes the triangle isosceles and equilateral.

The triangle on the right side is not isosceles, it's just a right triangle. When a right triangle is also isosceles, its acute angles are 45°, which is not the case here.

8 0
2 years ago
15 Points!
goblinko [34]

Answer:

coordinate of point A is (a,b)

coordinate of point C is (2c,d)

slope of AD and BC =\frac{b}{a-c}

Step-by-step explanation:

According to midpoint formula

If we have points P (x_{1} ,y_{1} ) and Q (x_{2} ,y_{2} )

then the coordinate (x,y) of mid point of line PQ is given by

x=\frac{x_{1} +x_{2} }{2} and y=\frac{y_{1} +y_{2} }{2}

now from the given diagram A is the mid point of line joining  R(0,0) and S(2a,2b)

Using midpoint formula, coordinates of point A is given by

x=\frac{0+2a}{2}= a and y=\frac{0+2b}{2} =b

so we have

coordinate of point A is (a,b)

Also C is the midpoint of line joining T (2c,2d) and V(2c,0)

coordinate of point C is given by

x= \frac{2c+2c}{2} =2c and y=\frac{2d+0}{2} =d

so we have

coordinate of point C is (2c,d)

it is given that coordinate of point B is (a+c, b+d) and coordinate of D is (c,0)

If we have points P (x_{1} ,y_{1} ) and Q (x_{2} ,y_{2} )

then the slope of PQ =\frac{y_{2} -y_{1} }{x_{2}-x_{1}  }

hence slope of AD= \frac{0-b }{c-a}

                                 =\frac{-b}{c-a}

                                  =\frac{-b}{-(a-c)}

                                  =\frac{b}{a-c}

and slope of BC  =\frac{d-(b+d)}{2c-(a+c)}

                            =\frac{d-b-d}{2c-a-c}

                             =\frac{-b}{c-a}

                              =\frac{b}{a-c}

so we have

slope of AD and BC =\frac{b}{a-c}

7 0
2 years ago
Read 2 more answers
What is the exponential form of /8z?
Naily [24]

Answer:28

Step-by-step explanation:

6 0
2 years ago
Talia sells educational software for a yearly salary of $65,000 plus a 2.65% commission on her total sales. If Talia sells $2.5
Bad White [126]

Answer:

$131250

Step-by-step explanation:

Talia's earnings during one year are equal to her base yearly salary ($65000) added to her commission. Now, to know the commission it is necessary to find the 2.65% of her total sales ($2.5 million)

Step 1. Divide the total sales or 2,500,000 by 100 considering this represents the total or 100%

2,500,000 ÷ 100 = 25000

Step 2. Multiply this number by the specific percentage (2.65)

25000 x 2.65 = 66250

Now add the commission and the yearly salary

65000 + 66250 = 131250

Hence, total earnings of Talia were $131250

4 0
1 year ago
Decide whether the set A of positive integers divisible by 17 and B the set of positive integers
murzikaleks [220]

Answer:

  • <em><u>Yes; see clarification of the question and the complete answer explained answer below.</u></em>

<em><u /></em>

Explanation:

Two sets are in <em>bijection</em> if the function that relates them is bijective.

Thus, the question may be reformulated to: is it possible that the two sets A and B are related by a bijective function?

A bijective function is both inyective and surjective, which implies that it is invertible.

Inyective means that any element of the domain is mapped into exactly one element of the codomain.

Surjective means that each element of the codoman is related exactly with one element of the codomain.

That implies that there are no unpaired elements.

Assume the set A is the domain of your function and B is the codomain.

Then, the question is: is it possible for the set {17, 34, 51, 68, 85, . . .} to be in bijection with the set {11, 22, 33, 44, 55, . . . }?

Realize the two sets do not have common elements, because 17 and 34 are relative primes.

It is possible to set a bijective function of A onto B, or of B onto A, if and only if the two sets have the same cardinality (number of elements).

Indeed, the two sets A and B have the same cardinality: both have the same size, thus you may conclude that there could be a bijection relation between them and thus the two sets are in bijection.

4 0
2 years ago
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