Which of the following inequalities have -8 in its solution set? a. 0 < x+4 < 1 b. three less than a number is at least -5 and at most 2. c. the sum of 8 times a number and 7 is between -1 and 1. d. 3x ≥ 24 or 3x ≤ -24 which of the following inequalities have -6 in its solution set? a. 5x > 35 or 5x < −35 b. two less than a number tripled is at least -5 and at most 1. c. the sum of 3 times a number and 5 is between -16 and 11. d. -8 < x−5 < 3

The table shows the webster family’s monthly expenses for the first three months of the year. they are $2,687.44, $2,613.09, and $2,808.64. what is the average monthly expenditure for all expenses?

Aprojectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 704t. after how many seconds does the projectile take to reach its maximum height?

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.