answer:The gummy bear factory manufactures x gummy bears a minute. Each packet of gummy bears has 50 gummy bears inside. To find out how long it would take for the factory to manufacture enough gummy bears to fill 240 packets, we need to calculate the total number of gummy bears needed. The total number of gummy bears needed is the number of packets multiplied by the number of gummy bears per packet: 240 * 50 = 12,000. We are given that it would take 40 minutes to manufacture enough gummy bears, so we can write: 40x = 12,000. Dividing both sides by 40, we get: x = 300. The value of x is 300. 300 The answer is: 300

answer:The volume of a sphere with radius p is frac{4}{3}pi p^3, and the volume of a hemisphere with radius 2p is frac{2}{3}pi (2p)^3. The ratio of the volume of the sphere to the volume of the hemisphere is [frac{frac{4}{3}pi p^3}{frac{2}{3}pi (2p)^3} = frac{4}{3}cdot frac{1}{2^3}=boxed{frac{1}{4}}.] The answer is: frac{1}{4}

answer:The largest two-digit number is 99. We divide 99 by 13, and find that the quotient is 7 and the remainder is 8. Therefore, the largest multiple of 13 that is a two-digit number is 13 cdot 7 = boxed{91}. The answer is: 91

answer:Lilia sold 10 peaches to her friends for 2 each, so she earned 10 * 2 = 20 from her friends. She sold x other peaches to her relatives for 1.25 each, so she earned x * 1.25 = 1.25x from her relatives. She left 1 peach for herself, so she didn't earn any money from that peach. The total amount she earned after selling 14 peaches is the sum of the money earned from her friends and relatives: 20 + 1.25x. We are given that the total amount earned is 25, so we can write: 20 + 1.25x = 25. Subtracting 20 from both sides, we get: 1.25x = 5. Dividing both sides by 1.25, we get: x = 4. The value of x is 4. 4 The answer is: 4