Apersonal trainer charges a one-time free of $60 plus $25 for each individual session. a fitness club charges a yearly fee of $45 plus $10 for each session with personal trainer. write and solve an equation to determine for what number of sessions the costs will be equal

Is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis.

98 point question what is the record for most points in one

Each person in an it department of 25 people works on at least one of 3 major projects: system security, program implementation, platform development. 10 people work on system security, 13 work on program implementation, and 12 work on platform development. 4 people work on system security and platform development, 5 people work on program implementation and platform development, and 2 people work on all three projects. how many people work on system security and program implementation?