We have three types of birds at three prices: The large bird costs 3 coins, the middle sized bird costs 2 coins and four chicks cost 1 coin. Find the Diophantine solutions for 100 birds for 100 coins, where the number of every kind of bird is a non-negative integer. Show work.

Amonument at a park is in the shape of a right square pyramid. a diagram of the pyramid and its net are shown. what is the surface area of the monument? enter the answer in the box. m²

The volume of gas a balloon can hold varies directly as the cube of its radius. imagine a balloon with a radius of 3 inches can hold 81 cubic inches of gas. how many cubic inches of gas must be released to reduce the radius down to 2 inches?

Aflagpole broke in a storm. it was originally 8 1 81 feet tall. 2 8 28 feet are still sticking straight out of the ground, where it snapped, but the remaining piece has hinged over and touches the ground some distance away. how far away is the end of the pole from the base of the pole along the ground?