GEOMETRY: A point M on a segment with endpoints (-2, 1) and ( 6, 7) partitions the segment in a 3:5 ratio. Find M.

Given right triangle xyz, which correctly describes the locations of the sides in relation to

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

At a sale this week, a desk is being sold for $213. this is a 29% discount from the original price. what is the original price?