answer:To solve this problem, we need to determine the value of x, which represents the number of balls that can be put in 3 boxes. We are told that the balls are not distinguishable and neither are the boxes. This means that the order in which the balls are placed in the boxes does not matter. We are also told that there are 5 ways to put the balls in the boxes. Let's list out the 5 possible ways: 1. Box 1: x balls, Box 2: 0 balls, Box 3: 0 balls 2. Box 1: x-1 balls, Box 2: 1 ball, Box 3: 0 balls 3. Box 1: x-2 balls, Box 2: 2 balls, Box 3: 0 balls 4. Box 1: x-1 balls, Box 2: 0 balls, Box 3: 1 ball 5. Box 1: x-2 balls, Box 2: 1 ball, Box 3: 1 ball We can see that for each way, the total number of balls in the boxes is x. Therefore, the value of the unknown variable x is 5. The answer is: 5

answer:John writes 20 pages a day, so he can write 20 pages/day x 1 book/400 pages = 1/20th of a book per day. To write 3 books, it will take him 3 books / (1/20th of a book per day) = 60 days. 60 The answer is: 60

answer:Kimberly's brother picked 3 baskets x 15 strawberries = 45 strawberries. Kimberly picked 8 times the amount of strawberries as her brother, so she picked 45 strawberries x 8 = 360 strawberries. Her parents picked 360 strawberries - 93 strawberries = 267 strawberries. Together, they picked a total of 45 strawberries + 360 strawberries + 267 strawberries = 672 strawberries. If they divide the strawberries equally amongst them, each person would have 672 strawberries / 4 people = 168 strawberries. 168 The answer is: 168

answer:The graph of y = |x| - 3 is a V-shaped graph with the vertex at (0, -3). When the graph is translated two units to the left, the vertex becomes (-2, -3). Then, when the graph is translated three units down, the vertex becomes (-2, -6). Therefore, the coordinates of the minimum point of the new graph are boxed{(-2, -6)}.The answer is: (-2,-6)