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question:We the People has 17 cows. Happy Good Healthy Family has two more than x times the number of cows We the People has. If their cows are taken to a ranch to graze together, how many cows will be in the ranch altogether? If we know the answer to the above question is 70, what is the value of unknown variable x?
answer:We know that We the People has 17 cows. Happy Good Healthy Family has two more than x times the number of cows We the People has, which means they have 2 + x*17 cows. The total number of cows in the ranch is the sum of the number of cows from We the People and Happy Good Healthy Family: 17 + (2 + x*17) = 19 + 17x. We are given that the total number of cows in the ranch is 70, so we can write: 19 + 17x = 70. Solving for x, we get: x = 3. The value of x is 3. 3 The answer is: 3
question:There are 192 soaps in a package. They put them in 2 big boxes. If each box contains x packages, The 2 boxes contain 2304 soap in total. 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 packages in each box. Let's break down the information given: Number of soaps in a package: 192 Number of big boxes: 2 Total number of soaps in the 2 boxes: 2304 We can set up the equation as follows: Number of soaps in a package * Number of packages in each box * Number of big boxes = Total number of soaps in the 2 boxes 192 * x * 2 = 2304 Let's simplify and solve for x: 384x = 2304 To isolate x, we divide both sides of the equation by 384: 384x / 384 = 2304 / 384 x = 6 The value of x is 6. 6 The answer is: 6
question:Let N be the largest integer whose square has exactly X digits when written in base 9. What is N, expressed in base 9? If we know the answer to the above question is 28_9, what is the value of unknown variable X?
answer:We want to find the value of X in the given situation. We are told that N is the largest integer whose square has exactly X digits when written in base 9. To find the value of X, we can start by finding the square of N in base 9. Let's express N as a base 10 number and then convert it to base 9. In base 9, the digits range from 0 to 8. Given that the answer is 28_9, we can convert it to base 10: 28_9 = 2 * 9^1 + 8 * 9^0 = 2 * 9 + 8 * 1 = 18 + 8 = 26 So, N in base 10 is 26. To find X, we need to find the number of digits in the square of N in base 9. The square of 26 is 26^2 = 676. Now, let's convert 676 to base 9: 676 = 7 * 9^2 + 6 * 9^1 + 6 * 9^0 = 7 * 81 + 6 * 9 + 6 * 1 = 567 + 54 + 6 = 627 So, the square of N in base 9 is 627. The number of digits in 627 when written in base 9 is X. X = 3 The value of X is 3. The answer is: 3
question:What is the result of adding 53.463 to 12.9873 and rounding to the nearest thousandth?
answer:Adding 53.463 and 12.9873, we get 66.4503. Rounding to the nearest thousandth, we have 66.450. The answer is: 66.450