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weqwewe [10]
3 years ago
6

Middletown sponsors a two day conference for selected middle school students to study government. Suppose 20 student delegates w

ill the attend the conference Each school should be represented fairly in relation to it's population.
Mathematics
1 answer:
grandymaker [24]3 years ago
5 0

Answer:

  • North Middle School = 10 students
  • Central Middle School = 6 students
  • South Middle School = 4 students

Step-by-step explanation:

First calculate the total number of students in all the schools:

= 618 + 378 + 204  

= 1,200 students

Use this number to calculate the proportion of the total population that a school so that this can then be used to determine the proportion of the 20 delegates they should sent.

North Middle school:  

= 618/1,200 * 20  

= 10 students

 

Central Middle School:  

= 378 / 1,200 * 20  

= 6 students

 

South Middle School:  

= 204/1,200 * 20  

= 4 students  

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Answer:

(12,3) and (20,5)

Step-by-step explanation:

When using the direct variation equation we can check these by division and we get .25 for the answer of both.

3/12 and 5/20

3 0
2 years ago
what is the solution to the equation fraction 1 over 6x = 2? x = fraction 1 over 12 x = fraction 1 over 3 x = 3 x = 12
hram777 [196]
1/6x = 2.....multiply both sides by the reciprocal 6/1
(6/1)(1/6)x = 2(6/1)
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6 0
3 years ago
Read 2 more answers
-7 2/3 + ( -5 1/2 ) + 8 3/4 = ? <br><br> A: -4 5/12 <br> B: -21 11/12 <br> C: -4 2/3 <br> D: 6 7/12
frez [133]

Answer:

-4 5\12

Step-by-step explanation:

Identify the Least Common Denominator, 12, then just simply evaluate.

8 0
3 years ago
A cone with radius 2 and height 9 has its radius tripled. How many times greater is the volume of the larger cone than the small
SpyIntel [72]

Answer:

When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times

Step-by-step explanation:

We have that the formula for the volume of a cone is:

Vc = pi * (r ^ 2) * h

We first calculate the original volume, where the radius is 2 and the height is 9, replacing:

Vc = 3.14 * (2 ^ 2) * 9

Vc = 113.04

Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:

Vc = 3.14 * (6 ^ 2) * 9

Vc = 1017.36

If we compare:

1017.36 / 113.04 = 9

This means that when the radius is tripled, the volume increases 9 times.

When if re reduces to a third the radius would be: 2/3, replacing:

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Vc = 12.56

113.04 / 12.56 = 9

Which means that by reducing it to a third the volume becomes 9 times smaller.

6 0
3 years ago
Help mememememme please ☹️
Dmitriy789 [7]

An exterior angle is formed by one side of the triangle, and a side EXTENDED outside the triangle. Two angles are like that, ∠4 and ∠2.


Angle 3 is NOT an exterior angle because it is made up of two extended sides. It does not use one of the sides of the triangle.

3 0
3 years ago
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