A nutrition center sells health food to mountain-climbing teams. The Trailblazer mix package contains one pound corn cereal mixed with four pounds of wheat cereal. The Frontier mix contains two pounds of corn cereal and three pounds of wheat cereal. The center has 60 pounds of corn cereal and 120 pounds of wheat cereal available. Each Trailblazer package nets $1.20 in profit and each Frontier package nets $1.80 per package. Determine the maximum profit and how many packages of each type should be made to maximize profit.

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

Written as a simplified polynomial in standard form, what is the result when (2x+8)^2(2x+8) 2 is subtracted from 8x^2-38x 2 −3?

Abowl contained 270 starbursts of all different colors. if the probability of picking a yellow is 1/9, then how many yellow starbursts are in the bowl ? ?