The cost to go see a movie at Movie Tavern is $10.75 for an adult and $8.75 for a child. It costs $40,000 to buy a digital film projector. A full movie theater can hold 250 people, where every child
and adult has their own seat. If the ratio of adults to children in the theater on average is 3 to 7, how
many movies need to be shown to a full theater to break even?
1.. Create a table showing the total amount of money for the ratio of 3 adults to 7 children for 5 different
amounts of adults and children. (Ex: cost of 3 adults and 7 children, cost of 6 adults and 14 children, etc.)
2. Write an equation(s) to determine how many adults and children will be in a theater of 250 people.
Be sure to define your variables.

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. increase the area of the base of the square pyramid by a factor of ten. increase the height of the cylinder by a factor of ten. increase the radius of the cone by a factor of ten. increase the radius of a sphere by a factor of ten. juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a cube with a side length of 12 feet a cone with a diameter of 12 feet and a height of 10 feet a square pyramid with a base side length of 12 feet and a height of 9 feet a hemisphere with a diameter of 12 feet marion has a bicycle that she is planning to take for a ride. the rim of the rear wheel lies 41 cm from the center of the wheel. the tire itself has a thickness of 3 cm.in order to marion to ride her bicycle 96,712 cm, approximately how many rotations will the rear wheel make? 350 15.9 376 5133 an isosceles trapezoid has perimeter of 42 inches. each of the congruent nonparallel sides is 5 inches long, and the trapezoid is 3 inches tall. how long are the two parallel sides? 10 inches and 16 inches 12 inches and 20 inches 16 inches and 16 inches 10 inches and 22 inches

Fredrick designed an experiment in which he spun a spinner 20 times and recorded the results of each spin

Starting at home, emily traveled uphill to the hardware store for 606060 minutes at just 666 mph. she then traveled back home along the same path downhill at a speed of 121212 mph. what is her average speed for the entire trip from home to the hardware store and back?