answer:The original speed of the spaceship is 500 km/hr. For every 100 additional people, the speed is halved. So when there are 400 people on board (200 + 200), there are 2 additional sets of 100 people. Therefore, the speed is halved twice. The speed after halving once is 500/2 = 250 km/hr. The speed after halving again is 250/2 = 125 km/hr. So, when there are 400 people on board, the speed of the spaceship will be 125 km/hr. 125 The answer is: 125

answer:Bill needs to chop up four peppers, which will take him 4 * 3 = 12 minutes. He also needs to chop up two onions, which will take him 2 * 4 = 8 minutes. He needs to grate cheese for five omelets, which will take him 5 * 1 = 5 minutes. The total time spent on chopping peppers, onions, and grating cheese is 12 + 8 + 5 = 25 minutes. He also needs to assemble and cook the omelets, which will take him x minutes. The total time spent preparing for and cooking the five omelets is 25 + 5x minutes. We are given that the total time is 50 minutes, so we can write: 25 + 5x = 50. Solving for x, we get: x = 5. The value of x is 5. 5 The answer is: 5

answer:The volume of water in the basement is equal to the volume of the rectangular prism formed by the floor and the water level. The volume of a rectangular prism is given by the formula length x width x height. In this case, the length is 32 feet, the width is 24 feet, and the height is 18 inches. Since 1 foot is equal to 12 inches, the height is actually 18/12 = 1.5 feet. Therefore, the volume of water in the basement is 32 x 24 x 1.5 = 1152 cubic feet. Since 1 cubic foot of water contains 7.5 gallons, the total number of gallons of water in the basement is 1152 x 7.5 = 8640 gallons. Each pump can pump 8 gallons of water per minute, so the total pumping rate of the three pumps is 3 x 8 = 24 gallons per minute. To find the time it takes to pump out all the water, we divide the total number of gallons by the pumping rate: 8640 / 24 = 360 minutes. Therefore, it will take 360 minutes to pump out all the water in the basement using the three pumps.The answer is: 360

answer:To solve this problem, we need to determine the value of x, which represents the number of copies of the hardcover version sold. Let's break down the information given: Number of copies of the paper cover version sold: 32,000 Price per copy of the paper cover version: 0.20 Number of copies of the hardcover version sold: x Price per copy of the hardcover version: 0.40 Percentage of total sales earned by the author for the paper cover version: 6% Percentage of total sales earned by the author for the hardcover version: 12% Total amount earned by the author: 1104 We can set up the equation as follows: (Number of copies of the paper cover version sold * Price per copy of the paper cover version * Percentage of total sales earned by the author for the paper cover version) + (Number of copies of the hardcover version sold * Price per copy of the hardcover version * Percentage of total sales earned by the author for the hardcover version) = Total amount earned by the author (32,000 * 0.20 * 6%) + (x * 0.40 * 12%) = 1104 Let's simplify and solve for x: (32,000 * 0.20 * 0.06) + (x * 0.40 * 0.12) = 1104 (32,000 * 0.012) + (x * 0.048) = 1104 384 + 0.048x = 1104 To isolate x, we subtract 384 from both sides of the equation: 384 - 384 + 0.048x = 1104 - 384 0.048x = 720 To solve for x, we divide both sides of the equation by 0.048: x = 720 / 0.048 x = 15,000 The value of x is 15,000. 15000 The answer is: 15000