Producing a musical costs $8,000 plus $300 per performance. one sold-out performance earns $700 income. if every performance sells out, how many performances are needed to break even? brainliest

20 performances.

Step-by-step explanation:

Let x be the number of performances needed to break even.  

We have been given that producing a musical costs $8,000 plus $300 per performance. This means that cost of producing x performances will be 300x and total cost of producing x performances will be:

.

We are also told that one sold-out performance earns $700 income, so the total income earned from selling x performances will be 700x.

Since we know that break even is the point at which total cost and total income are equal and total profit at the break-even point is zero.

So let us equate total cost of producing x performances with total income earned from selling x performances to get our break even point.

Upon subtracting 300x from both sides of our equation we will get,

Let us divide both sides of our equation by 400.

Therefore, 20 performances are needed to break even.

A) draw a ship at one point and draw an arrow to the left (ship is sailing west). draw another point with a 230 degree angle from the ship, place the lighthouse in this position. then, draw a line from the light house to the ship, label 20 km. form the first right triangle. then draw a similar triangle, label the distance from the ship to the lighthouse 16 km, this is the new distance as the ship moves to the west.