answer:To solve this problem, we need to determine the value of x, which represents the number of blue beads the young girl poured into the bowl. Let's break down the information given: Number of blue beads: x Number of yellow beads: 16 Total number of beads: x + 16 Number of parts: 3 Number of beads in each part after dividing: (x + 16) / 3 Number of beads removed from each part: 10 Number of beads remaining in each part after removal: (x + 16) / 3 - 10 Number of beads after doubling: 6 We can set up the equation as follows: Number of beads remaining in each part after removal * 2 = 6 ((x + 16) / 3 - 10) * 2 = 6 Let's simplify and solve for x: ((x + 16) / 3 - 10) * 2 = 6 ((x + 16) / 3 - 10) = 6 / 2 (x + 16) / 3 - 10 = 3 To isolate x, we add 10 to both sides of the equation: (x + 16) / 3 - 10 + 10 = 3 + 10 (x + 16) / 3 = 13 To solve for x, we multiply both sides of the equation by 3: ((x + 16) / 3) * 3 = 13 * 3 x + 16 = 39 To isolate x, we subtract 16 from both sides of the equation: x + 16 - 16 = 39 - 16 x = 23 The value of x is 23. 23 The answer is: 23

answer:We want to find the value of X in the given situation. Jillian can afford X per month for rent, and the rental rate is 0.90 per square foot. To find the largest apartment she should consider, we can set up an equation using the given information. The equation can be written as: X = 0.90 * Area We are given that the largest apartment she should consider is 700 square feet, so we can substitute this value into the equation: X = 0.90 * 700 Now we can solve for X. Multiplying 0.90 by 700, we get: X = 630 The value of X is 630. The answer is: 630

answer:Carlos needs to wash two loads of laundry, and each load takes 45 minutes, so 2 loads x 45 minutes/load = 90 minutes for washing. After washing, Carlos combines both loads and dries them, which takes 75 minutes. Therefore, the total amount of time it takes for Carlos to complete his laundry is 90 minutes for washing + 75 minutes for drying = 165 minutes. 165 The answer is: 165

answer:To solve this problem, we need to determine the value of x, which represents the speed of Ben's dog in feet per minute. We know that Ben's potato gun can launch a potato 6 football fields, and a football field is 200 yards long. So, the total distance the potato can be launched is 6 * 200 = 1200 yards. We also know that Ben's dog will take 9 minutes to fetch the potato. Let's set up the equation using the formula: Distance = Speed * Time 1200 yards = x feet/minute * 9 minutes Let's convert yards to feet. 1 yard = 3 feet. 1200 yards = 1200 * 3 feet 3600 feet = x * 9 minutes To solve for x, we divide both sides of the equation by 9: 3600 feet / 9 minutes = x 400 feet/minute = x Therefore, the value of the unknown variable x is 400 feet/minute. 400 The answer is: 400