Working alone, john can complete a task in 150 minutes. kasey can complete the same task in only 120 minutes. john and kasey work together for 30 minutes and then alicia joins in. together they finish the task 20 minutes later. how long would it take alicia to complete the task by herself?

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. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.