Among all pairs of numbers (x, y) such that 6x+2y=32, find the pair for which the sum of squares, x2+y2, is minimum. Write your answers as fractions reduced to lowest terms.,

You can find the constant of proportionality by finding the ratio of

The u-drive rent-a-truck company plans to spend $13 million on 320 new vehicles. each commercial van will cost $25 comma 000, each small truck $50 comma 000, and each large truck  $80 comma 000. past experience shows that they need twice as many vans as small trucks. how many of each type of vehicle can they buy?

60 musicians applied for a job at a music school. 14 of the musicians play both guitar and drums, 28 play drums, 18 play the guitar. what is the probability that the applicant who gets the job plays drums or guitar?