Abstract Algebra Answers

Matt can clean his house in 6 hours and his sister can do it in 9 how long will it take the two together?

Suppose two gliders start at the same height, one with a glide ratio of 0.3 and one with a glide ratio of 2/7. If they glide until they hit the ground, which one will have glided the farther horizontal distance?

Solve
n/(n-2)=6/5

A point O is at the top of a vertical cliff. The angle of elevation of O from a boat which is at a point A due South of O is 28°. The boat now sails 50 metres due North to a point B from which the angle of elevation of O is 70°. Find, to the nearest metre, the distance of B from the foot of the cliff.

Prove that if two distinct primes p and q divide n^3, then n^3 is a multiple of (pq)^3.

A laptop is 1 inch high and 15.5 inches wide and 9.5 inches deep. What is the volume?

An urn contains n balls numbered 1 to n. If m balls are randomly withdrawn sequentially with replacement find P(X=k), k=1,2...m where m is the maximum of the m chosen numbers.