A restaurant offers 7 entrees and 11 desserts. In how many ways can a person order a two-course meal? In a contest in which 7 contestants are entered, in how many ways can the 5 distinct prizes be awarded?

Polygon mnopq is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image m′n′o′p′q′. the coordinates of point m are (2, 4), and the coordinates of point n are (3, 5). the slope of is .

Eric has challenged himself to walk 24,000 steps in 4 days. if eric walks the same number of steps each day, which function represents the number of steps eric still needs to walk to reach his goal with respect to the number of days since he started his challenge? a. y = 8,000x − 24,000 b. y = -8,000x + 24,000 c. y = 6,000x − 24,000 d. y = -6,000x + 24,000

Assume that y varies inversely with x. if y=1.6 when x=0.5 find x when y=3.2