MATHEMATICS HIGH SCHOOL

Jayvie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn't have a membership, so she pays $8.25 each movie she sees. Which equation shows when they will pay the same amount of money?

Answers

Answer 1
Answer:

Answer:

27 + 6x = 8.25x

Number of movies (x) = 12

Step-by-step explanation:

Given that:

VIP membership :

Membership fee = $27 per year

Amount per movie = $6

Hence ;

Membership fee + (amount per movie * number of movies)

27 + 6x - - - (1)

Non member :

Amount paid per movie = $8.25

amount per movie * number of movies)

8.25x - - (2)

Let Numbe of movies = x

In other to pay the same amount of money :

Equate (1) and (2)

Equation :

27 + 6x = 8.25x

8.25x - 6x = 27

2.25x = 27

X = 12 movies

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Answers

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Simplify the sum. (2u^3 + 6u^2 + 3) + (2u^3 - 7u + 6)

Answers

Steps:

1) Group the like terms and simplify.

2) Do follow the BODMAS Rule. Simplify terms inside the brackets, first. Then, follow this serial: Division, Multiplication, Addition, Subtraction.

Method:

(2u^3 + 6u^2 + 3) + (2u^3 - 7u + 6)

= 2u^3 + 6u^2 + 3 + 2u^3 - 7u + 6

= 2u^3+2u^3+6u^2-7u+3+6

= (2u^3+2u^3)+6u^2-7u+(3+6)

= 4u^3+6u^2-7u+9

2x+3y=3 and 3x-2y=11 what is the solution to the system

Answers

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