answer:In the first route, Malcolm walks uphill for 6 minutes. Then he walks for twice that amount along a path, which is 6 minutes x 2 = 12 minutes. Finally, he finishes the journey in a third of the time it took for the first two stages, which is (6 minutes + 12 minutes) / 3 = 6 minutes. Therefore, the total time for the first route is 6 minutes + 12 minutes + 6 minutes = 24 minutes. In the second route, Malcolm walks along a flat path for 14 minutes. Then he finishes the walk in twice that amount of time, which is 14 minutes x 2 = 28 minutes. Therefore, the total time for the second route is 14 minutes + 28 minutes = 42 minutes. The second route is 42 minutes - 24 minutes = 18 minutes longer than the first route. 18 The answer is: 18

answer:If the average of six numbers is 4.1, then the sum of the six numbers is 6 times 4.1 = boxed{24.6}. The answer is: 24.6

answer:To solve this problem, we need to determine the value of x, which represents the value of digit B in base 12. Let's break down the information given: 249_{11} + 3AB_{12} = 858 We can set up the equation as follows: 249_{11} + 3AB_{12} = 858 To convert 249_{11} to base 10, we multiply each digit by the corresponding power of 11 and sum them up: 249_{11} = 2 cdot 11^2 + 4 cdot 11^1 + 9 cdot 11^0 = 2 cdot 121 + 4 cdot 11 + 9 cdot 1 = 242 + 44 + 9 = 295 Substituting the values into the equation: 295 + 3AB_{12} = 858 To isolate 3AB, we subtract 295 from both sides of the equation: 3AB_{12} = 858 - 295 = 563 Now, we need to convert 563 to base 10. Since A represents 10 and B represents X in base 12, we can rewrite 3AB as 3AX: 3AX_{12} = 563 To convert 3AX to base 10, we multiply each digit by the corresponding power of 12 and sum them up: 3AX_{12} = 3 cdot 12^2 + 10 cdot 12^1 + X cdot 12^0 = 3 cdot 144 + 10 cdot 12 + X cdot 1 = 432 + 120 + X = 552 + X Substituting the values into the equation: 552 + X = 563 To isolate X, we subtract 552 from both sides of the equation: X = 563 - 552 = 11 Therefore, the value of unknown variable x is 11. The answer is: 11

answer:Tara visits 4 different gas stations, so she fills up her gas tank 4 times. The price of gas at each gas station is 3, 3.50, 4, and 4.50 respectively. Tara's car has a 12-gallon tank, so each time she fills up her tank, she is buying 12 gallons of gas. The total cost of gas for each fill-up is the price per gallon multiplied by the number of gallons. The first gas station charges 3 per gallon, so Tara spends 3 * 12 = <<3*12=36>>36 for the first fill-up. The second gas station charges 3.50 per gallon, so Tara spends 3.50 * 12 = <<3.5*12=42>>42 for the second fill-up. The third gas station charges 4 per gallon, so Tara spends 4 * 12 = <<4*12=48>>48 for the third fill-up. The fourth gas station charges 4.50 per gallon, so Tara spends 4.50 * 12 = <<4.5*12=54>>54 for the fourth fill-up. To find the total amount spent on gas for the road trip, we add up the costs of each fill-up: 36 + 42 + 48 + 54 = <<36+42+48+54=180>>180. Tara spends 180 on gas for her road trip. 180 The answer is: 180