A 47-foot-long piece of pipe is to be cut into three pieces. The second piece is three times as long as the first piece, and the third piece is two feet more than five times the length of the first piece. What is the length of the longest piece?
A health club charges non-members $5 per day to swim and $9 per day for an exercise class. Members pay a yearly fee of $300 plus $4 per day to attend an exercise class and no swim fee. If Robert swims and takes an exercise class every time he goes to the gym, which equation shows the number of days, d, he must use the gym to make the membership worthwhile?


Which of the following expresses as a fraction in simplest form?





Which number is rational?



Why is the product of a rational number and an irrational number irrational?
What is the solution to the equation ?

The product of a non-zero rational number and an irrational number can always be written as
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