The table shows the steps for solving the given inequality for x. 7x + 16 < −5(4 − 5x) select the reason for each step from the drop-down menus. 7x + 16 < − 5(4 − 5x) - given 7x + 16 < −20 + 25x - distributive property 16 < −20 + 18x - (choose) 36 < 18x - (choose) 2 < x - (choose)

Andy wants to find the distance d across a river. he located points as shown in the figure, then use similar triangles to find that d = 223.5 feet. how can you tell without calculating that he must be wrong? tell what you think he did wrong and correct his error. round your answer to the nearest tenth if necessary. andy must have used the wrong . the distance d is actually feet.

Tom says that he needs 6 rolls to obtain each possible outcome on a 6-sided die. on the fourth roll, he rolls his second "3”. tom says that the die is loaded and that each outcome is not equally likely. is tom correct here? if you think tom is incorrect, how many rolls should tom make until he sees each number occurring about 1/6 of the time?

Use the rules of exponents to simplify the expressions. match the expression with its equivalent value. 1. 2-1 ∙ 2-4 2. -32 3. ∙ 32 4. -