Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. the perimeter of the rectangle is 2(5x – 2) + 2(3x + 1). if x = 4 centimeters, what is the total distance zohar needs to cut with the scissors? 31 centimeters 36 centimeters 62 centimeters 70 centimeters

Aline parallel to a triangle's side splits ab into lengths of x - 5 and x + 2. the other side, ac, is split into lengths of x and x + 12. what is the length of ac? a) 12 b) 24 c) 36 d)

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?

In the xy-plane, if the parabola with equation passes through the point (-1, -1), which of the following must be true?