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question:f a cat has discovered 432 methods to extend each of her nine lives in base 9, how many methods does that equate to in base 10?
answer:In base 9, the digits are 0 through 8. To convert from base 9 to base 10, we multiply each digit by the corresponding power of 9 and sum the results. Since the cat has discovered 432 methods in base 9, we can write this as 4 cdot 9^2 + 3 cdot 9^1 + 2 cdot 9^0. Evaluating this expression, we get 4 cdot 81 + 3 cdot 9 + 2 cdot 1 = 324 + 27 + 2 = boxed{353}. The answer is: 353
question:Carson leans over the railing at the zoo to get the perfect selfie and falls into the combined wombat and rhea enclosure. There are x wombats and 3 rheas. If each wombat claws him 4 times and each rhea claws him once, how many times does he get clawed? If we know the answer to the above question is 39, what is the value of unknown variable x?
answer:Carson falls into the combined wombat and rhea enclosure. There are x wombats, so the number of times he gets clawed by wombats is 4*x. There are also 3 rheas, so the number of times he gets clawed by rheas is 3. The total number of times he gets clawed is the sum of the number of times he gets clawed by wombats and the number of times he gets clawed by rheas: 4*x + 3. We are given that the total number of times he gets clawed is 39, so we can write: 4*x + 3 = 39. Solving for x, we get: 4*x = 36. Dividing both sides by 4, we get: x = 9. The value of x is 9. 9 The answer is: 9
question:Every time Janet folds her blanket its thickness doubles. If it starts out 3 inches thick, how thick will it be after 4 foldings?
answer:After the first folding, the thickness of the blanket doubles to 3 x 2 = 6 inches. After the second folding, the thickness doubles again to 6 x 2 = 12 inches. After the third folding, the thickness doubles once more to 12 x 2 = 24 inches. After the fourth folding, the thickness doubles again to 24 x 2 = 48 inches. Therefore, after 4 foldings, the blanket will be 48 inches thick. 48 The answer is: 48
question:Toby is making toast and adding peanut butter to it. He wants to make sure he has x calories for breakfast. A piece of bread has 100 calories. A serving of peanut butter has 200 calories. If he has one piece of bread, He should add 2 servings of peanut butter. 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 calories Toby wants for breakfast. We know that one piece of bread has 100 calories and one serving of peanut butter has 200 calories. Toby wants to add 2 servings of peanut butter. We can set up the equation as follows: Number of calories from bread + Number of calories from peanut butter = Total number of calories 100 + (2 * 200) = x Let's simplify and solve for x: 100 + 400 = x 500 = x The value of x is 500. 500 The answer is: 500