Use a system of linear equations in three variables to solve the following problem. a certain brand of razor blade comes in packages of 6, 12, and 24 blades, costing $2, $3, and $4 per package, respectively. a store sold 11 packages containing a total of 150 razor blades and took in $32. how many packages of each type were sold?

Panera bread is a chain of cafes serving sandwiches, soups, and freshly baked breads. the company began in 1981 with stores primarily located along the east coast of the united states. since then, the firm has expanded to over 1,300 locations throughout the united states and canada. the firm has strong earnings and has been designated by business week as a "significant growth company." panera bread executives are considering the idea of expanding globally by opening cafes in asia through a franchising strategy. which of the following, if true, supports the argument that panera bread should expand into asia through franchising? a: the panera bread menu changes rapidly, and each cafe's artisan bread bakers receive regular training on new recipes. b: panera bread executives want fast access to the asian market without a significant investment of capital. c: panera bread executives want to test the asian market with a short-term commitment that allows them to make quick profits. d: the panera bread mission is to make excellent bread available to customers around the world.

If the demand for a pair of shoes is given by 2p + 5q = 200 and the supply function for it is p − 2q = 10, compare the quantity demanded and the quantity supplied when the price is $90. quantity demanded pairs of shoes quantity supplied pairs of shoes will there be a surplus or shortfall at this price? there will be a surplus. there will be a shortfall.

Sally is buying a home and the closing date is set for april 20th. the annual property taxes are $1,234.00 and have not been paid yet. using actual days, how much will the buyer be credited and the seller be debited