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question:While chatting in the school cafeteria, Cesar's friend Demi tells him that a new fantasy series was on Netflix and he should watch it. The new series has 12 seasons, and each season has 20 episodes. If Cesar watched 1/3 of the series before the school closed, how many episodes were remaining for him to finish the series?
answer:The new series has 12 seasons, and each season has 20 episodes, so the total number of episodes in the series is 12 x 20 = 240 episodes. If Cesar watched 1/3 of the series before the school closed, then he watched 1/3 x 240 = 80 episodes. Therefore, Cesar has 240 - 80 = 160 episodes remaining to finish the series. 160 The answer is: 160
question:What is the amount of money that Annie has left after purchasing 8 hamburgers for 4 each and 6 milkshakes for 3 each, if she initially had 120?
answer:Annie purchased 8 hamburgers for 4 each, so she spent 8 * 4 = 32 on hamburgers. She also purchased 6 milkshakes for 3 each, so she spent 6 * 3 = 18 on milkshakes. In total, Annie spent 32 + 18 = 50 on hamburgers and milkshakes. If Annie initially had 120, then she has 120 - 50 = 70 left. 70 The answer is: 70
question:Brad has a cylindrical barrel with radius 10 inches and height 15 inches. He wants to fill it from a well, using a bucket in the shape of a hemisphere with a radius of 10 inches. How many trips must Brad make to the well in order to fill the barrel?
answer:The volume of the barrel is given by the formula V = pi r^2 h, where r is the radius and h is the height. In this case, r = 10 inches and h = 15 inches, so the volume of the barrel is V = pi (10^2)(15) = 1500pi cubic inches. The volume of the bucket is given by the formula V = frac{2}{3}pi r^3, where r is the radius. In this case, r = 10 inches, so the volume of the bucket is V = frac{2}{3}pi (10^3) = frac{2000}{3}pi cubic inches. To fill the barrel, Brad needs to make frac{1500pi}{frac{2000}{3}pi} = frac{9}{4} trips to the well. Since Brad cannot make a fraction of a trip, he needs to make boxed{3} trips to the well in order to fill the barrel. The answer is: 3
question:vory got four more riddles than Josh did. Taso got twice as many riddles as Ivory did. If Josh has x riddles, Taso has 24 riddles. What is the value of unknown variable x? What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the number of riddles Josh has. Let's break down the information given: Number of riddles Josh has: x Number of riddles Ivory has: x + 4 (since Ivory got four more riddles than Josh) Number of riddles Taso has: 24 We can set up the equation as follows: Number of riddles Taso has = 2 * Number of riddles Ivory has 24 = 2 * (x + 4) Let's simplify and solve for x: 24 = 2x + 8 To isolate x, we subtract 8 from both sides of the equation: 24 - 8 = 2x + 8 - 8 16 = 2x To solve for x, we divide both sides of the equation by 2: x = 16 / 2 x = 8 The value of x is 8. 8 The answer is: 8