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Galina-37 [17]
2 years ago
8

URGENT!!!! BRAINLIEST FOR CORRECT ANSWER!

Mathematics
1 answer:
worty [1.4K]2 years ago
5 0

Answer:

1663

Step-by-step explanation:

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A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

C = Children; S = Students; A = Adults

For the capacity, we have:

C + S + A = 329

For the tickets sold, we have:

5C + 7S + 12A = 2388

Half as many as adults are children implies that:

A = \frac{C}{2}

Required

Solve for A, C and S

The equations to solve are:

C + S + A = 329 -- (1)

5C + 7S + 12A = 2388 -- (2)

A = \frac{C}{2} -- (3)

Make C the subject in (3)

C = 2A

Substitute C = 2A in (1) and (2)

C + S + A = 329 -- (1)

2A + S + A = 329

3A + S = 329

Make S the subject

S = 329 - 3A

5C + 7S + 12A = 2388 -- (2)

5*2A + 7S + 12A = 2388

10A + 7S + 12A = 2388

7S + 22A = 2388

Substitute S = 329 - 3A

7(329 - 3A) + 22A = 2388

2303 - 21A + 22A = 2388

2303 +A = 2388

Solve for A

A = 2388 - 2303

A = 85

Recall that: C = 2A

C = 2 * 85

C = 170

Recall that: S = 329 - 3A

S = 329 - 3 * 85

S = 329 - 255

S = 74

Hence, the result is:

C = 170

S = 74

A = 85

8 0
3 years ago
The absolute value inequality equation |2x – 1| > 3 will have what type of solution set?
Nataliya [291]

Answer:

(2x-1)>3

therefore 2x>3+1

2x>4

2x/2>4/2

therefore x>2

4 0
3 years ago
Wich data set could be repersented by the blox plot shown down below?<br><br><br>pick a b c or d
netineya [11]

Answer:

Its A.

Step-by-step explanation:

Can u stop reporting my answers!!??

8 0
2 years ago
Read 2 more answers
Can anyone help me ??
bogdanovich [222]
The answer is B 1 =52 2=66
8 0
3 years ago
Find the missing angles for each problem, given that lines a and b are parallel (step by step)
marshall27 [118]

Answer:

1) 40°

2) 140°

3) 140°

5)40°

6)140°

7)140°

8)40°

Step-by-step explanation:

1 = 40 °        <em>  [Vertically Opposite angles are equal]</em>

8 = 40 °         <em>[Corresponding Angles are equal]</em>

5 = 8 = 40°  <em> [Corresponding Angles are equal]</em>

7 = 180° - 40° = 140°      <em>[Supplementary angles sum 180°]</em>

6 = 140°           <em> [Vertically Opposite angles are equal]</em>

2 = 140°            <em>[Corresponding Angles are equal]</em>

3 = 140 °          <em> [Vertically Opposite angles are equal]</em>

3 0
3 years ago
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