Adj is preparing a playlist of 17 songs. how many different ways can the dj arrange the first five songs on the playlist?

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.

What adds to be the bottom number but also multiplies to be the top number with 8 on the bottom and 15 on top

The height of a box can be found by dividing its volume by the area of its base,bottom.what is the height of a box that has a volume of 26.35 cubic centimeter and a base area of 4 1/4 square centimeter?