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

The sum of two numbers is 72 and one of them is five times the other

3. which of the follow ordered pairs lies in quadrant ll. a. 4 - 3 b.-2-5 c.-1 - 2 d. 3,0

Evaluate. 8.76 + (-3.05) a. - 11.81 b. - 5.71 c. 5.71 d. 11.81

A man who moves to a new city sees that there are two routes he could take to work. A neighbor who has lived there a long time tells him Route A will average 5 minutes faster than Route B. The man decides to experiment.

Estimate the quotient 5.94/3=198

50 cents plus how many nickels equal 1.85

The real number 8.09 belongs to which set of number A. natural numbers B. irrational numbers C. integers

8. 72 is what percent of 45?

Let f (x) = x^2 - 2x + 2 and g (x) = x - 3. find f (x) times g (x)

A survey found that 9 out of 100 people are left-handed. On the basis of this survey, how many people in a group of 8000 are likely to be left-handed? A. 900 B. 800 C. 720 D. 72