Late at night, in a castle far away, the king could not sleep. so he got up and at 1/4 of the mangoes from a bowl in the kitchen. the queen got up and ate 1/3 of the mangoes that were left. the prince at 1/2 of the mangoes that the queen did not eat. there were 12 mangoes left in the bowl when she was done. how many mangoes were in the bowl at the beginning?

Determine whether the points (–3,–6) and (2,–8) are in the solution set of the system of inequalities below. x ? –3 y < 5? 3x + 2 a. the point (–3,–6) is not in the solution set, and the point (2,–8) is in the solution set. b. neither of the points is in the solution set. c. the point (–3,–6) is in the solution set, and the point (2,–8) is not in the solution set. d. both points are in the solution set.

Elena is paid a constant rate for each hour she works. the table shows the amounts of money that elena earned for various amounts of time that she worked.

Create a question with this scenario you could ask that could be answered only by graphing or using logarithm. david estimated he had about 20 fish in his pond. a year later, there were about 1.5 times as many fish. the year after that, the number of fish increased by a factor of 1.5 again. the number of fish is modeled by f(x)=20(1.5)^x.