Aficus tree is 95 inches tall and growing at a rate of 4 inches per year. a cactus is 40 inches tall and growing at a rate of 5 inches per year. after how many years will the ficus tree be shorter than the cactus?

95 + 4x > 40 + 5x
or
95 + 4x < 40 + 5x

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

Saline iv fluid bags cost $64.20 for 24, 1000 ml bags from one supplier. a new supplier sells 500 ml bags for $2 each. the hospital uses about 10,000, 1000 ml bags each month. nurses report that about half of the bags are more than half full when they are discarded. if you are going to use only one supplier, which size bag provides the best deal, and how much will you save each month? compare the cost of the new supplier to the current one.

Solve the following inequalities and show the solution on a number line. 2x+3< 3(4x+5)