answer:The cobbler can mend 3 pairs of shoes in an hour. From Monday to Thursday, the cobbler works for x hours each day, so he works for a total of 4x hours. On Friday, he works from 8am to 11am, which is a total of 3 hours. Therefore, the cobbler works for a total of 4x + 3 hours in a week. Since he can mend 3 pairs of shoes in an hour, the total number of pairs of shoes he can mend in a week is (4x + 3) * 3. We are given that the cobbler can mend 105 pairs of shoes in a week, so we can write: (4x + 3) * 3 = 105. Simplifying the left side, we get: 12x + 9 = 105. Subtracting 9 from both sides, we get: 12x = 96. Dividing both sides by 12, we get: x = 8. The value of x is 8. 8 The answer is: 8

answer:To solve this problem, we need to determine the value of x, which represents the number that is missing in the given arrangement. From the given arrangement, we can observe that each row contains a repeated number, and the number of repetitions increases by 2 for each row. In the first row, the number 2 is repeated twice. In the second row, the number 4 is repeated four times. In the third row, there is a missing number (represented by X) that should be repeated six times. In the fourth row, the number 8 is repeated eight times. We can deduce that the pattern is as follows: In the n^{th} row, the repeated number is 2n and it is repeated 2n times. Based on this pattern, we can determine the missing number in the third row: The repeated number in the third row is 2 times 3 = 6, and it should be repeated 2 times 3 = 6 times. Therefore, the value of x is 6. The answer is: 6

answer:If John is currently 39 years old, then 3 years ago he was 39 - 3 = 36 years old. Let's call James' age in 6 years "J". So, 3 years ago, John was twice as old as James will be in 6 years, which means 36 = 2(J + 6). Simplifying the equation, we get 36 = 2J + 12. Subtracting 12 from both sides, we get 24 = 2J. Dividing both sides by 2, we get J = 12. So, James is currently 12 years old. If James' older brother is 4 years older than James, then his older brother is 12 + 4 = 16 years old. 16 The answer is: 16

answer:To solve this problem, we need to determine the value of x, which represents the number of points Max has in the spelling bee. Let's break down the information given: Number of points Max has: x Number of points Dulce has: 3 Number of points Val has: 2 * (x + 3) Total number of points on their team: x + 3 + 2 * (x + 3) Total number of points on opponents' team: 40 Difference in points between the two teams: (x + 3 + 2 * (x + 3)) - 40 We know that their team is behind 16 points, so we can set up the equation: (x + 3 + 2 * (x + 3)) - 40 = -16 Let's simplify and solve for x: x + 3 + 2x + 6 - 40 = -16 3x - 31 = -16 To isolate x, we add 31 to both sides of the equation: 3x - 31 + 31 = -16 + 31 3x = 15 To solve for x, we divide both sides of the equation by 3: x = 15 / 3 x = 5 The value of x is 5. 5 The answer is: 5