If y varies directly as x, find the constant of variation if y=12 when x=1/3

A cyclist rode 1 mile at full speed in 3 minutes with the wind and returned in 4 minutes against the wind, again pedaling at full speed. Find his speed without the wind. ("Challenge" question)

F (x) = -x+6x2-10x+4 I need the domain, range, tel. maximum,

What value of n makes the equation n * 3/4=3/16 true?

There are 9 children playing in a playground. In a game, they all have to stand in a line such that the youngest child is at the beginning of the line. How many ways can the children be arranged in the line? a. 40,320 b. 362,880 c. 16,777,216 d.

What is 17x-2xy+3x+10xy

There are 36 people in newtown hiking club. 2/3 of the club must vote yes if the club is to hike the northern trail. 20 people have voted yes. how many more yes votes are needed?

One revolution of a 40 cm diameter ball compared to a 20 centimeter diameter ball is: A. 2 times as great. B. 4 times as great. C. The same D. 1/2 times as great.

Complete the equation of the line through (2,-2) and (4,1). Use exact numbers.

The distance between two towns is 15 miles. There are 20 distance markers evenly spread throughout the road between the towns. Jessie drove 45 of the distance when she was forced to stop because she ran out of gas.

A parking space shaped like a parallelogram has a base of 18 feet and a height is 7 feet. A car parked in the space is 15 feet long and 5 feet wide. How much of the parking space is not covered by the car?