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question:What is the length of the radius of a circle, in units, if the area of the circle is 49pi square units?
answer:The area of a circle is given by the formula A = pi r^2, where A is the area and r is the radius. We are given that the area of the circle is 49pi square units, so we can set up the equation 49pi = pi r^2. Dividing both sides of the equation by pi, we get 49 = r^2. Taking the square root of both sides of the equation, we get r = sqrt{49}. Since the radius cannot be negative, the length of the radius is boxed{7} units. The answer is: 7
question:f Larry jogs for 30 minutes each day, and he jogs for 3 days in the first week and 5 days in the second week, what is the total number of hours he jogs for in two weeks?
answer:Larry jogs for 30 minutes each day, so in the first week, he jogs for a total of 30 minutes/day x 3 days = 90 minutes. In the second week, he jogs for a total of 30 minutes/day x 5 days = 150 minutes. To find the total number of hours, we need to convert the minutes to hours. There are 60 minutes in an hour. So, Larry jogs for a total of (90 minutes + 150 minutes) / 60 minutes/hour = 240/60 = 4 hours. 4 The answer is: 4
question:Rick has just celebrated his 15th birthday. His oldest brother is twice his age, and his middle brother is a third of the oldest brother’s age. The smallest brother is half the middle brother’s age. If the youngest brother is 2 years younger than the smallest brother, how old, in years, is the youngest brother?
answer:Rick is 15 years old. His oldest brother is twice his age, so he is 15 * 2 = 30 years old. The middle brother is a third of the oldest brother's age, so he is 30 / 3 = 10 years old. The smallest brother is half the middle brother's age, so he is 10 / 2 = 5 years old. The youngest brother is 2 years younger than the smallest brother, so he is 5 - 2 = 3 years old. 3 The answer is: 3
question:By walking 10 miles through a large grass field every morning from Monday to Friday to get to school and 12 miles through a forest on her way back home to avoid the hot afternoon sun, how many miles will Alice have walked by the time she gets home on Friday?
answer:Alice walks 10 miles through a grass field every morning from Monday to Friday, so that's 10 miles x 5 days = 50 miles. She also walks 12 miles through a forest on her way back home from Monday to Friday, so that's 12 miles x 5 days = 60 miles. Therefore, by the time Alice gets home on Friday, she will have walked a total of 50 miles + 60 miles = 110 miles. 110 The answer is: 110