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Helen [10]
2 years ago
10

A large university accepts ​40% of the students who apply. Of the students the university​ accepts, 35​% actually enroll. If 300

00 students​ apply, how many actually​ enroll?
Mathematics
1 answer:
JulijaS [17]2 years ago
6 0

Answer:

the  students enroll is 4,200

Step-by-step explanation:

The computation of the students enroll is shown below:

= Number of students × applied percentage × enrolled percentage

= 30,000 × 40% × 35%

= 4,200

hence, the  students enroll is 4,200

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Solve the system of equations using substitution or elimination by addition.
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Step-by-step explanation:

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Two supplementary angles have measurements of (3x)° and (10x – 15)°. What are the measures of the
Oxana [17]

Sorry for the way it came out but the Answer:

2

x

+

5

=

43

∘

3

x

−

10

=

47

∘

Explanation:

A complementary angles means angles that add up to

90

degrees. The two angles given in the question are complementary angles.

So

Our first angle

(

2

x

+

5

)

plus the second angle

(

3

x

−

10

)

is equal to

90

degrees

(

2

x

+

5

)

+

(

3

x

−

10

)

=

90

Now we solve for

x

, first we add up the like terms

2

x

+

3

x

+

5

−

10

=

90

5

x

−

5

=

90

Add

5

to both sides

5

x

=

95

Divide both sides by

5

we get

x

=

19

Now and after we find

x

we substitute it to get our two angles

2

x

+

5

=

2

(

19

)

+

5

=

43

∘

3

x

−

10

=

3

(

19

)

−

10

=

47

∘

Hope it helps :)

Step-by-step explanation:

3 0
3 years ago
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alina1380 [7]

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8 0
2 years ago
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A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b
andrew-mc [135]

Answer:

Step-by-step explanation:

First, alternate interior and alternate exterior angles and  corresponding require a transversal through two parallel lines.  or in other words two parallel lines with a non parallel line going through the both of them.  We don't have that here so none of those count here.  

Step 2 is the only one that mentions them so that's wrong.  The two options regarding step 2, one mentions alternate exterior angles, so that's incorrect, which means the last option is the right answer.

To logic it out let's go choice by choice.

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Fourth step is just right.

So definitely see step 2 is the problem.  So let's look at the two replacement options.

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Second choice for step 2 gets the 180 degrees right AND givs the reason that they are supplementary angles.  The definition of supplementary angles is that they add up to 180, or make a straight line, so also true.

Also we should check and make sure step 3 follows and makes sense.  Basically it says these three angles equal 180 and these two angles equal 180 so these two angles must equal these three angles, which makes sense since they equal the same number.  So check.

Let me know if Something I said didn't make sense.  Also here is a small guide of angles for the picture I uploaded with this.

Angles A and G are Alternate Exterior

D and F are Alternate Exterior

B and H are Alternate INTERIOR

E and C are Alternate Interior

A and E are Corresponding

B and F are corresponding

C and G are corresponding

D and H are corresponding

In all of these relationships it means the two angles are equal, and they require a transversal.  Let me know if you need further explanation let me know.

6 0
3 years ago
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