algebra

A woman is paid $20 for each day she works and forfeits $5 for each day she is idle. At the end of 25 days she nets $450. How many days did she work?

Determine the rate of a woman rowing in still water if it takes her 2 hours to row 9 miles with the current and 6 hours to return against the current.

If x varies directly as y and inversely as z, and x = 14 when y = 7 and z = 2, find x when y = 16 and z = 4.

If the 5th term of an arithmetic progression is 17 and the 3rd is 10, what is the 8th term?

The plate number of a vehicle consists of 5 alphanumeric characters such that the first 2 characters are letters and the remaining 3 are digits. How many arrangements are possible if the first character is a vowel and repetition is not allowed?

Sarah leaves Seattle for New York in her car, averaging 80 mph across open country. One hour later a plane leaves Seattle for New York following the same route and flying 400 mph. How long will it be before the plane overtakes the car?

Mr. Santos owns a jewelry store. He marks up all merchandise 50 percent of cost. If he sells a diamond ring for P15,000, what did he pay the wholesaler for it?

For what values of x is \(|x - 3| = 1\)?

If \(3x = 4y\), then \(\dfrac{4y^2}{3x^2}\) is equal to:

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

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

If \(f(x) = -x^2\), then \(f(x + 1) =\)

The Rotary Club and the Jaycees Club had a joint party. 120 members of the Rotary Club and 100 members of the Jaycees Club attended, but 30 of those who attended are members of both clubs. How many people attended the party?

A store advertised dresses on sale at 20 percent off. The sale price is $76. What was the original price of the dress?

A woman is paid $20 for each day she works and forfeits $5 for each day she is idle. At the end of 25 days she nets $450. How many days did she work?

What do you call a radical expressing an irrational number?

A lady gives a dinner party for six guests. In how many ways can they be selected from among 10 friends?

Which of the following has no middle term?

A sports car 2 m long overtakes a 12 m van which is traveling at the rate of 36 kph. How fast must the car travel to overtake the van in 3 seconds if their rear ends are aligned initially?

A family’s electricity bill averages $80 a month for seven months of the year and $20 a month for the rest of the year. If the family’s bill were averaged over the entire year, what would the monthly bill be?