Prove that there exists a pair of consecutive integers such that one of these integers is a perfect square

Find three consecutive integer whose sum is 117

Solve for x and y: 7y-5x=31 x=4-2y Select one: a. x=8, y=-2 b. x=-2, y=3 c. x=-9, y=-2 d. x=3, y=-2

3 qt is equally to how many pt

In a chess variant, a "lord" can move one space at a time, either upward, or to the right, or diagonally up and to the right. how many ways are there for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard?

If 600 people responded to a survey and 210 responded positively while 350 responded negatively, what is the ratio between positive and negative responses? (Express the ratio in its simplest form.)

6,000 is 10 time as much as

Which integer represents 7 feet below sea level?

If you toss a coin 6 times and list the results (heads or tails) in order, how many different orders are possible?

A multiple choice test has ten questions each with four possible answers of which only one is the correct answer. what is the probability that sheer guess work yields 5 to 10 correct answers?

A right triangle has legs that are 15 feet and 25 feet long. What is the length of the hypotenuse?