1. emmanuel bought 28 lb of potting soil this week. this amount is 4 lb more than twice the amount of potting soil he bought last week. answer the following questions to find the number of pounds of soil emmanuel purchased last week.
(a) what is the unknown information?
(b) let p represent the unknown information. write an equation to model the problem.
(c) which number, 10, 11, or 12, will solve the equation in part (b)? show your work.
(d) how many pounds of potting soil did emmanuel buy last week?

Steve wants to develop a way to find the total cost of any item including sales tax. the sales tax in his city is 6%. his friend jenna writes the expression x + 6x where x is the cost of the item. explain whether her expression is correct based on the situation.

Kathy spent 5/8 of her money on books and another 1/6 of her money on stationeries.what fraction of kathy’s money was left?

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.