algebra

Cup A is 5/9 full, cup B is 5/6 full, cup C is 11/12 full and cup D is 17/18 full. If the 4th cup is used to fill the other three cups, what is left in the cup?

Express 2,400,000 in scientific notation.

If a trip takes 4 hours at an average speed of 55 miles per hour, which of the following is closest to the time the same trip would take at an average speed of 65 miles per hour?

Which of the following is equivalent to the expression \((x^2 - 3x + 1) - (4x - 2)\)?

The number of ways that an organization consisting of twenty-six members can elect a president, treasurer and secretary (assuming no person is elected to more than one position) is

In how many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white balls?

Which term of the arithmetic sequence 2, 5, 8, … is equal to 227?

If \(\log_x 3 = \tfrac{1}{4}\), then x =

Using synthetic division, compute the remainder if we divide \(2x^3 + x^2 - 18x + 7\) by x − 2.

The force required to stretch a spring is proportional to the elongation. If 24 N stretches a spring 3 mm, find the force required to stretch the spring 2 mm.

A is 3 times as old as B. Three years ago, A was four times as old as B. Find the sum of their ages.

Solve for x: \(x = (0.125)^{-4/3}\).

By stringing together 9 differently colored beads, how many different bracelets can be made?

If 8 oranges cost Php 96, how much does 1 dozen cost at the same rate?

What is the discriminant of the equation \(4x^2 = 8x - 5\)?

The polynomial \(x^2 + 4x + 4\) is the area of a square floor. What is the length of its side?

A man can do a job in 8 days. After the man has worked for 3 days, his son joins him and together they complete the job in 3 more days. How long will it take the son to do the job alone?

A person had a rectangular garden with sides of lengths 16 feet and 9 feet. The garden was changed into a square design with the same area as the original rectangular garden. How many feet in length is each side of the new square garden?

Martin, a motel housekeeper, has finished cleaning about 40% of the 32 rooms he’s been assigned. About how many more rooms does he have left to clean?

A weight of 60 pounds rests on the end of an 8-foot lever and is 3 feet from the fulcrum. What weight must be placed on the other end of the lever to balance the 60 pound weight?