answer:On Sunday Alice bought 4 pints of strawberry ice cream The next day she bought three times that number of pints, 3 x 4 = 12 pints On Tuesday she bought one-third of the number of pints she bought the day before, 12/3 = 4 pints On Wednesday she returned half of the pints she bought the day before, 4/2 = 2 pints So, on Wednesday she had 4 + 12 + 4 - 2 = 18 pints of ice cream 18 The answer is: 18

answer:Anne breaks the mirror into x pieces. She sweeps up half of them, which means she sweeps up (1/2)*x pieces. The remaining pieces are (1/2)*x. Her cat steals 3 pieces, so the number of remaining pieces is (1/2)*x - 3. Her boyfriend picks up 1/3 of the remaining pieces, which means he picks up (1/3)*((1/2)*x - 3) pieces. We are given that the number of pieces her boyfriend picks up is 9, so we can write: (1/3)*((1/2)*x - 3) = 9. Multiplying both sides by 3, we get: (1/2)*x - 3 = 27. Adding 3 to both sides, we get: (1/2)*x = 30. Multiplying both sides by 2, we get: x = 60. The value of x is 60. 60 The answer is: 60

answer:If each large pizza has 8 slices, then 2 large pizzas would have a total of 8 x 2 = 16 slices. If Mary consumes 7 slices, then there would be 16 - 7 = 9 slices left. 9 The answer is: 9

answer:We are given that two arithmetic sequences, A and B, both begin with 30 and have common differences of absolute value X, with sequence A increasing and sequence B decreasing. To find the absolute value of the difference between the 51st term of sequence A and the 51st term of sequence B, we need to determine the value of X. Since both sequences have a common difference of absolute value X, the nth term of sequence A can be written as: A_n = 30 + (n-1)X Similarly, the nth term of sequence B can be written as: B_n = 30 - (n-1)X We want to find the absolute value of the difference between the 51st term of sequence A and the 51st term of sequence B, which can be written as: |A_{51} - B_{51}| = |(30 + (51-1)X) - (30 - (51-1)X)| Simplifying, we have: |A_{51} - B_{51}| = |30 + 50X - 30 + 50X| = |100X| Given that the absolute value of the difference is 1000, we can write: |100X| = 1000 Dividing both sides of the equation by 100, we find: |X| = 10 The absolute value of X is 10. The answer is: 10