answer:On Monday, Zach baked 32 cookies. On Tuesday, he baked half of the number of cookies he baked on Monday, which means he baked 32 / 2 = 16 cookies. On Wednesday, he baked x times the number of cookies he baked on Tuesday, which means he baked 16 * x cookies. But his brother ate 4 of those cookies, so the number of cookies he had at the end of Wednesday is 16 * x - 4. The total number of cookies he had at the end of the three days is the sum of the cookies he baked on Monday, Tuesday, and Wednesday: 32 + 16 + (16 * x - 4). We are given that the total number of cookies he had is 92, so we can write: 32 + 16 + (16 * x - 4) = 92. Simplifying the left side, we get: 48 + 16 * x - 4 = 92. Combining like terms, we get: 16 * x + 44 = 92. Subtracting 44 from both sides, we get: 16 * x = 48. Dividing both sides by 16, we get: x = 3. The value of x is 3. 3 The answer is: 3

answer:The condition x^2+y^2+z^2le 1 represents a sphere with radius 1 and center at the origin. The region -1le x le 1,-1le y le 1,-1le z le 1 represents a cube with side length 2 centered at the origin. The ratio of the volume of the sphere to the volume of the cube represents the probability that a randomly selected point lies inside the sphere. The volume of the sphere is frac{4}{3}pi(1^3)=frac{4}{3}pi and the volume of the cube is 2^3=8. Therefore, the probability is frac{frac{4}{3}pi}{8}=boxed{frac{pi}{6}}. The answer is: frac{pi}{6}

answer:To solve this problem, we need to determine the value of x, which represents the amount of money Donny had in his piggy bank. Let's break down the information given: Cost of the kite: 8 Cost of the frisbee: 9 Amount of money left after buying the kite and frisbee: 61 We can set up the equation as follows: Amount of money Donny had - Cost of the kite - Cost of the frisbee = Amount of money left x - 8 - 9 = 61 Let's simplify and solve for x: x - 17 = 61 To isolate x, we add 17 to both sides of the equation: x - 17 + 17 = 61 + 17 x = 78 The value of x is 78. 78 The answer is: 78

answer:Let's assume the amount of rain in the first hour is x inches. In the second hour, it rains 7 inches more than twice the amount in the first hour, so it rains 2x + 7 inches. The total amount of rain in the first two hours is 22 inches, so x + (2x + 7) = 22. Combining like terms, we have 3x + 7 = 22. Subtracting 7 from both sides, we have 3x = 15. Dividing by 3, we find x = 5. Therefore, it rained 5 inches in the first hour. 5 The answer is: 5