A bag contains 12 marbles. There are more red than green but taking the green and blue together exceeds the number of reds. The total number of yellow and green marbles is more than the total number of red and blue. 1.Find exactly how many of each color there are in the bag. Explain your reasoning.

2.How many different solutions can you find? Show how you know that you have found all solutions.

Need to finish my juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a.) a hemisphere with a diameter of 12 feet b.) a cube with a side length of 12 feet c.) a cone with a diameter of 12 feet and a height of 10 feet d.) a square pyramid with a base side length of 12 feet and a height of 9 feet