If x = -|w|, which of the following must be true?

A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.43 per bag, and 25-pound bags at $32.25 per bag. If a customer is to buy at least 65 pounds of the grass seed, but no more than 80 pounds, what is the least possible cost of the grass seed that the customer will buy?

The average (arithmetic mean) length per film for a group of 21 films is t minutes. If a film that runs for 66 minutes is removed from the group and replaced by one that runs for 52 minutes, what is the average length per film, in minutes, for the new group of films, in terms of t ?

If x and y are integers such that 2 < x ≤ 8 and 2 < y ≤ 9, what is the maximum value of ~$1 \over x$~ - ~$x \over y$~ ?

What is the largest integer n such that ~$1 \over 2^n$~ > 0.01

What is the thousandths digit in the decimal equivalent of ~$53 \over 5000$~

In the rectangular coordinate system above,the area of ΔRST is

When 24 is divided by the positive integer n, the remainder is 4. Which of the following statements about n must be true?

I. n is even.

II. n is a multiple of 5.

III. n is a factor of 20

Three business partners, Q, R, and S, agree to divide their total profit for a certain year in the ratios 2:5:8, respectively. If Q's share was $4,000, what was the total profit of the business partners for the year?

The price of a certain stock increased by 0.25 of 1 percent on a certain day. By what fraction did the price of the stock increase that day?