Suppose we have a set of three buyers who are trying to buy homes from three sellers. Suppose that seller A charges 3 for their house, seller B charges 2 for their house, and seller C charges 1 for their house The valuations for the three buyers are as follows ordered by house number (so house a, then house b, then house c): Buyer 1: A: 1 B: 3 C: 2
Buyer 2: A: 5 B:5 C: 5
Buyer 3: A: 5 B: 3 C: 2
Assuming that this set of prices is market clearing, provide the utility for each player in the transaction.

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.

Pat listed all the numbers that have 15 as a multiple write the numbers in pats list

Acar started driving from city a to city b, distance between which is 620 miles, at a rate of 60 mph. two hours later a truck left city b and started moving towards city a at a rate of 40 mph. how many hours after the truck's departure will the two meet?