answer:The probability of landing in a specific section of the dartboard is given by the ratio of the area of that section to the total area of the dartboard. Since the dartboard is a circle, the probability of landing in a specific section is also equal to the ratio of the central angle of that section to the total central angle of the circle (which is 360 degrees). Let x be the measure of the central angle of the section corresponding to a probability of 1/6. Then we have the equation: frac{x}{360} = frac{1}{6} To solve for x, we cross multiply and get: 6x = 360 Dividing both sides by 6, we find: x = 60 Therefore, the measure of the central angle of the section corresponding to a probability of 1/6 is boxed{60} degrees.The answer is: 60

answer:If the first warehouse has 400 boxes and has twice as many boxes as the second warehouse, then the second warehouse has 400/2 = 200 boxes. In total, both warehouses have 400 + 200 = 600 boxes. 600 The answer is: 600

answer:Vann is scheduled to clean the teeth of 5 dogs, and each dog has 42 teeth, so that's a total of 5 * 42 = 210 dog teeth. Vann is also scheduled to clean the teeth of 10 cats, and each cat has 30 teeth, so that's a total of 10 * 30 = 300 cat teeth. Lastly, Vann is scheduled to clean the teeth of 7 pigs, and each pig has 28 teeth, so that's a total of 7 * 28 = 196 pig teeth. In total, Vann will be cleaning 210 + 300 + 196 = 706 teeth today. 706 The answer is: 706

answer:Squaring both sides of the equation, we get 2x = 16x^2. Rearranging terms, we have 16x^2 - 2x = 0. Factoring out 2x, we get 2x(8x - 1) = 0. Setting each factor equal to zero, we find that x = 0 or x = frac{1}{8}. Since we are looking for the maximum value of x, we choose the larger of the two solutions, which is boxed{frac{1}{8}}. The answer is: frac{1}{8}