The proportional relationship between the total number of minutes, m, that Ryan practices the piano after some number of days, d, can be represented by the equation m = 41dm=41d. At what rate did he practice, in minutes per day?

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Write an equation of the line that passes through 9,2 and is parallel to the line y=5/3x+9