There are currently 423 laying hens at Egg City Farm. Due to some considerations, the number of laying hens is increasing at the rate of 16 hens per month. Currently the average number of eggs per hen is 1151, and production of eggs is decreasing at the rate of 36 eggs per hen per month. Use the product rule to determine the rate at which egg production at Egg City Farm is currently changing.

125 tickets were sold for the jazz band concert for a total of $1,022. students tickets cost $6 each, and general admission tickets cost $10 each. how many of each kind of tickets were sold?

1- 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.2- 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 the first question?

A3-dimensional figure has a square base and 4 lateral faces that meet at a point. explain the difference between the cross sections when a slice is made perpendicular to the base through the vertex, and when a slice is made perpendicular to the base and not through the vertex