Ken’s fish tank cost $35.30. The air pump cost $12.50. The rocks for the floor of the tank cost $3.99. Fish food cost $4.25 How much money did Ken spend on these items?

What are the solutions of the system? solve by graphing. y = x^2 + 3x + 2 y = 2x + 2

1- 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. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

What is the radius of a circle with an area of 78.5 cubic inches? use 3.14 for pie