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

Simplify: 2 (x-5) - 1/2 (12x + 12) =

a helicopter is flying at 150mph on a course with a bearing of 130°. If the helicopter experiences a crosswind blowing southeast at 25 mph, find the resultant speed and direction of the helicopter.

What does x^3-3x^2+3=0 factor to?

In a clock, a large gear completes a rotation every 45 seconds and a small gear completes a rotation every 18 seconds. How many seconds pass before the gears align again? P. S:Like mai name?

when batman entourage joined the motorcade, the total number of vehicles increased 130%. if the final count was 345, how many vehicles were present in the beginning?

denise constructs a triangle with angles measuring 64o and 32o. what would the third angle measurement be

Which of the following are solutions to the equation below? x^2-6x+40=6x+5

Malcolm is driving 1,323 miles from Wichita to Charleston for a family reunion. He drives 443 miles the first day and 409 miles the second day. Round each distance to the nearest ten and estimate about how many miles Malcolm has left to drive.

What's an example of an integer word problem in addition?

Each person on a boat ride pays $26 for a ticket. There are 63 passengers. How much money is collected from all the passengers?