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question:f Mrs. Johnson's class raised 2300, which is twice the amount raised by Mrs. Sutton's class, and Mrs. Sutton's class raised 8 times less than Miss Rollin's class, and Miss Rollin's class raised a third of the total amount raised by the school, what is the total amount of money raised by the school for the playground, considering a 2% deduction for administration fees?
answer:If Mrs. Johnson's class raised 2300, and this is twice the amount raised by Mrs. Sutton's class, then Mrs. Sutton's class raised 2300/2 = 1150. If Mrs. Sutton's class raised 8 times less than Miss Rollin's class, then Miss Rollin's class raised 1150 * 8 = 9200. If Miss Rollin's class raised a third of the total amount raised by the school, then the total amount raised by the school is 9200 * 3 = 27600. If there is a 2% deduction for administration fees, then the total amount raised after the deduction is 27600 - (27600 * 2/100) = 27048. 27048 The answer is: 27048
question:A point (x,y) is randomly picked from inside the rectangle with vertices (0,0), (4,0), (4,1), and (0,1). What is the probability that x < y?
answer:The region inside the rectangle where x < y is the triangle with vertices (0,0), (1,0), and (1,1). The area of this triangle is frac{1}{2} cdot 1 cdot 1 = frac{1}{2}. The area of the entire rectangle is 4 cdot 1 = 4. Therefore, the probability that x < y is frac{frac{1}{2}}{4} = boxed{frac{1}{8}}. The answer is: frac{1}{8}
question:Lucy is listening to her favorite album while jumping rope. She can jump the rope 1 time per second. If the album's songs are all 3.5 minutes long and there are 10 songs, how many times will she jump rope?
answer:A minute has 60 seconds, so 3.5 minutes is 3.5 x 60 = 210 seconds. If Lucy can jump rope 1 time per second, she will jump rope 210 x 1 = 210 times per song. Since there are 10 songs, Lucy will jump rope 210 x 10 = 2100 times in total. 2100 The answer is: 2100
question:f George can carry two buckets each round and Harry can carry three buckets each round, and it takes 110 buckets to fill the pool, how many rounds will it take to fill the pool?
answer:If George can carry two buckets each round and Harry can carry three buckets each round, then together they can carry 2 + 3 = 5 buckets each round. To fill the pool, it takes 110 buckets, so it will take 110 / 5 = 22 rounds to fill the pool. 22 The answer is: 22