14. Kathy and her Nana are working on a craft project. Kathy
would like to give these as birthday presents to all her friends
Nana has 65 yards of material. If each project requires a of a
yard of material, then to how many friends can she give gifts?

If abcde is reflected over the x-axis and then translated 3 units left, what are the new coordinates d?

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.

Solve 4 ln x=2ln25 a) x=5 b) x=25 c) x=625