1. Which of the following sets are rings with respect to the usual operations of addition and multiplication? If the set is a ring, is it also a field? 7 Z 7Z Z 18 Z18 Q ( √ 2 ) = { a + b √ 2 : a , b ∈ Q } Q(2)={a+b2:a, b∈Q} Q ( √ 2 , √ 3 ) = { a + b √ 2 + c √ 3 + d √ 6 : a , b , c , d ∈ Q }

High schoolmathematics 5 points keith is the leading goal scorer for a team in an ice hockey league. last season, he scored 42 goals in 82 games. assuming he scores goals at a constant rate, what is the slope of the line that represents this relationship if the number of games is along the x-axis and the number of goals is along the y-axis?

Tom can paint the fence in 12 hours, but if he works together with a friend they can finish the job in 8 hours. how long would it take for his friend to paint this fence alone?

22. catie is starting a babysitting business. she spent $26 to make signs to advertise. she charges an initial fee of $5 and then $3 for each hour of service. write and solve an inequality to find the number of hours she will have to babysit to make a profit. interpret the solution.!