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melamori03 [73]
2 years ago
15

A theatre has 1,450 seats. If 42% of these are balcony seats. How many balcony seats does the theatre have?

Mathematics
2 answers:
Oksi-84 [34.3K]2 years ago
6 0

Answer:

Hello! The answer to your question is 609 seats.

Step-by-step explanation:

To obtain your answer, you have to multiply the percentage of balcony seats by the total number of seats. 42% is converted to 0.42 because 42/100 = 0.42:

0.42 × 1450 = 609 seats

kirill115 [55]2 years ago
5 0

Answer:

609

Step-by-step explanation:

All you must do is multiply 1450 by 0.42. That would give you the total.

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Write the equations of two lines that are parallel to the line 3x+6y-5=0
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Answer:

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Step-by-step explanation:

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What is the solution to the system of equations? 3x-6y=-12 " " x-2y=10 Use the substitution method to justify that the given sys
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The two lines in this system of equations are parallel

Step-by-step explanation:

Let us revise the relation between 2 lines

  • If the system of linear equations has one solution, then the two line are intersected
  • If the system of linear equations has no solution, then the two line are parallel
  • If the system of linear equations has many solutions, then the two line are coincide (over each other)

∵ The system of equation is

3x - 6y = -12 ⇒ (1)

x - 2y = 10 ⇒ (2)

To solve the system using the substitution method, find x in terms of y in equation (2)

∵ x - 2y = 10

- Add 2y to both sides

∴ x = 2y + 10 ⇒ (3)

Substitute x in equation (1) by equation (3)

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- Simplify the left hand side

∴ 6y + 30 - 6y = -12

- Add like terms in the left hand side

∴ 30 = -12

∴ The left hand side ≠ the right hand side

∴ There is no solution for the system of equations

∴ The system of equations represents two parallel lines

The two lines in this system of equations are parallel

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

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