20 points, topic: hourly rates amount of time: * three friends can paint the room together – 1 hour * john can paint the room alone – 4 hours * rick can paint the room alone – 5 hours b. what is the hourly rate for john, rick, and molli (when working together)? use rooms per hour as the unit for your rates. c. what is the hourly rate for john? what is the hourly rate for rick? refer to the amount of time you determined in which john and rick can paint the room alone. use rooms per hour as the unit for your rates. d. write an equation comparing the group rate to the sum of the individual rates. how should the group rate and the sum of the individual parts compare? use parts (b) and (c) to you write the equation. e. what is the least common denominator for the equation you found in part (c)? f. solve the equation and determine how long it will take molli to paint the room alone.

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

Consider the following equation. 1/2x^3+x-7=-3sqrtx-1 approximate the solution to the equation using three iterations of successive approximation. use the graph below as a starting point. a. b. c. d.

Ron has 8 caps and 4 of his caps are blue. thes rest of his cap are red. how many of ron's caps are red