PLEASE HELP ILL MARK BRAINLIST The drama club is going on a trip to Brenau University's theatre. The trip costs each member $65. Included in that price is $10 for the cost of renting a charter bus and the cost of 2 plays. Each play costs the same price. Write an equation representing the cost of the trip for each member. Let x represent the cost of each play.

Determine the price of one play. Solve your equation by showing your work and steps. (10 points)

9514 404 393

Step-by-step explanation:

We are told that the costs add up this way:

  trip cost = bus rental + 2 × (cost of play)

Given that ...

The above equation can be rewritten as ...

  65 = 10 + 2x . . . . . . the desired equation

__

Solving for x, we have ...

  55 = 2x . . . . subtract 10

  27.50 = x . . . . divide by 2

The cost of one play is $27.50.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form