In a coin jar the ratio of dimes to pennies is 3 to 8. The number of pennies in the jar is 32. Answer the following questions based on this ratio. (Show ALL work.) *a) Why can’t the number of dimes be 10? Justify your answer by setting up & solving a proportion. this is Solving Proportions

Select the correct answer. what is the surface area of the victory podium shown here? include all surfaces of the podium, including the bottom. a. 61.5 square feet b. 61.75 square feet c. 65.25 square feet d. 69 square feet

The number of 8th graders who responded to a poll of 6th grade and 8 th graders was one fourtg of the number of 6th graders whi responded if a total of 100 students responddd to the poll how many of the students responded were 6 th graders

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.