At raging river sports, polyester-fill sleeping bags sell for $79. down-fill sleeping bags sell for $149. in one week the store sold 14 sleeping bags for $1456.

a. let x represent the number of polyester-fill bags sold and let y represent the number of down-fill bags sold. write a system of equations you can solve to find the number of each type sold.

b. explain how you can solve the system for y by multiplying and subtracting.

c. explain how you can solve the system for y using substitution.

d. how many of each type of bag were sold?

The volume of a box varies directly with its length if a box in the group has a length of 30inches and k=24 what is its volume

How can i differentiate this equation?

(i really need ) read the story problem, and then answer the questions that follow. gordon works for a graphic design firm and is creating a label for a food truck vendor. the vendor specializes in finger food and wants to sell food in right conical containers so that they are easy for people to hold. to complete his label, gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. gordon has been told that the containers have a diameter of 4 inches and a height of 6 inches. part a: find the slant height of the cone. the slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface. show your work. part b: find the measure of the angle formed between the base of the cone and a line segment that represents the slant height. part c: imagine two line segments where each represents a slant height of the cone. the segments are on opposite sides of the cone and meet at the apex. find the measurement of the angle formed between the line segments.