Betsy's high school is putting on a production of a play as a fundraiser for the school's music programs. a local bank has agreed to allow the school to use a line of credit from which they can withdraw money to pay for the play. then, any deposits they make at the bank will be applied to the negative balance of the credit account. the play cost $2,900.00 to produce, and they intend to sell tickets for $8 each. after the play, betsy will take the ticket proceeds and deposit them with the bank. if 1,166 people attend the play's opening night, what will the balance of the bank account be?

the balance of the bank account is $6428

Step-by-step explanation:

The cost of producing the play is $2,900.00. A local bank has agreed to allow the school to use a line of credit from which they can withdraw money to pay for the play. This means that the account balance would be - $2,900.00

They intend to sell tickets for $8. If 1,166 people attend the plays opening night, total amount made from the play would be

8× 1166 = $9328

If $9328 is deposited into the account, the balance of the bank account would be

-2900 + 9328 = $6428

5 pm

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .