answer:Laura bought 2 pairs of pants for x each, which means she spent 2 * x dollars on pants. She also bought 4 shirts for 33 each, which means she spent 4 * 33 = 132 on shirts. The total amount she spent is the sum of the amount spent on pants and shirts: 2 * x + 132. She gave 250 to the cashier, so the change she received is: 250 - (2 * x + 132). We are given that the change she received is 10, so we can write: 250 - (2 * x + 132) = 10. Simplifying the left side, we get: 250 - 2 * x - 132 = 10. Combining like terms, we get: 118 - 2 * x = 10. Subtracting 118 from both sides, we get: -2 * x = -108. Dividing both sides by -2, we get: x = 54. The value of x is 54. 54 The answer is: 54

answer:George paid x for the ticket. The nachos were half the price of the ticket, which means they cost (1/2)*x = 0.5x. The total amount George paid for the visit to the movie theater is the sum of the ticket price and the nacho price: x + 0.5x = 1.5x. We are given that the total amount George paid is 24, so we can write: 1.5x = 24. Dividing both sides by 1.5, we get: x = 16. The value of x is 16. 16 The answer is: 16

answer:To solve this problem, we need to determine the value of x, which represents the difference between the two positive integers. We know that the larger integer is 15. Let's call the smaller integer y. We are given that the product of the two integers is 135, so we can set up the equation as follows: 15 * y = 135 Let's solve for y: y = 135 / 15 y = 9 Now we know that the two positive integers are 15 and 9, and x represents the difference between them. To find x, we subtract the smaller integer from the larger integer: x = 15 - 9 x = 6 The value of x is 6. The answer is: 6

answer:There are 7 choices for the first initial, 7 choices for the second initial, and 7 choices for the third initial. So, the total number of different three-letter sets of initials is 7 times 7 times 7 = boxed{343}. The answer is: 343