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Mathematics, 28.06.2019 11:20 Bvrz6198

2. randall and tiana ordered a pepperoni pizza and a cheese pizza of the same size. all the pieces of the pepperoni pizza were the same size, as were all the pieces of the cheese pizza, but the cheese pizza was cut into 4 more pieces than the pepperoni pizza. tiana ate one piece of each pizza. randall ate the rest of both pizzas. if the pepperoni pizza was cut into p pieces, what fraction of each pizza did randall eat? 3. in major league baseball, the smallest allowable volume of a baseball is 92.06% of the largest allowable volume, and the range of allowable radii is 0.04 inches. (there are 3 parts) a. suppose r is the largest allowable radius of a baseball in inches. write expressions for the largest allowable volume of the baseball and the smallest allowable volume of the baseball, both in terms of r. b. write an equation that shows that the ratio of the smallest allowable volume to the largest allowable volume is 0.9206. c. solve the equation in part b for r , and round r to the nearest hundredth of an inch. what are the smallest allowable radius and the largest allowable radius of a baseball? 4. eva and ty started jogging at the same time from opposite ends of a straight trail. both jogged at a constant, but different, speed. when each of them reached the opposite end, he or she turned around and went back to where they started. the first time they met along the trail, they were 3 miles from ty’s end of the trail, and the second time they met, they had each turned around and were 2 miles from eva’s end of the trail. (there are 3 parts) a. let the length of the trail be m miles. what was the total distance run by ty and the total distance run by eva the first time they met? b. what was the total distance run by ty and the total distance run by eva the second time they met? c. set up an equation and solve for m to find the length of the trail. why must the ratio of the total distances run the first time they met be equal to the ratio of the total distances run the second time they met?

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