On the real number line below, with coordinates as labeled, an object moves according to the following set of instructions: From point P the object moves right to , then left to R, then right to S, and finally left until it returns to its original position at P. Which is the closest estimate of the total length, in coordinate units, of the movements this object makes?

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?

Aregular pentagon with a perimeter of 21 inches is dilated by a scale factor of 5/3 to create a new pentagon. what is the perimeter of the new pentagon?

Simplify this expression. 8x 16(x + y)