Joe is finding the length of a rectangular prism. The volume of the prism is 204 ft3. The width is 3.5 ft, and the height is 5 ft. His work is shown below.

V = l w h. 204 = 3.5 (5) l. 204 = 8.5 l. StartFraction 204 Over 8.5 EndFraction = StartFraction 8.5 Over 8.5 EndFraction l. 24 = l.

What error did Joe make?

B. He incorrectly substituted into the volume formula.
C. He added 3.5 and 5 when he should have multiplied them.
D. He incorrectly divided 204 by 8.5.
E. He did not make a mistake in finding the length of the prism.

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.

The given diagram shows the parts of a right triangle with an altitude to the hypotenuse. using the two given  measures, find the other four.

Solve the inequaliy: (x^2+2)(x−2)^2(6−2x)> 0