Problem 4 (10 pts) Prove that if there are more that 30 students in the class, then at least two of them have last names that begin with the same letter. n30

What is 1/4 + 5/6 equals what

The function D (h) = 25h+50 models the distance a train traveled from a station, in miles, h hours after crossing a bridge, what is the meaning of the x intercept?

Select the correct answer. In 2010, there were 400 frogs in the lake at a local nature preserve. Each year, the population of frogs grows by 10%. Which equation accurately describes the population of frogs, f (x), x years after 2010? a) f (x) = 0.

A certain substance doubles its volume every minute at 9 AM a small amount is placed in a container, at 10 AM the container was full, find the time when the container was 1/4 full

Given QRS equals to TUV, QS = 3v+2 and TV = 7v - 6, find the length of QS and TV.

How many extraneous solutions does the equation below have? (2m) / (2m+3) - (2m) / (2m-3) = 1 0 1 2 3

If you drive 60 miles at 90 miles per hour, how many minutes will the trio take you?

Can a 14 inch umbrella fit inside a suitcase that has dimensions of 9" x 12"? Explain.

one side of a triangle is 6 meters more than twice the shortest side. the third side is 9 meters more than the shortest side. the perimeter is 25 meters find all three sides

Halfway through a bus route, 23 students have been dropped off and 48 students remain on the bus. write an equation to determine whether there are 61 or 71 students on the bus at the beginning of the route.