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question:f Miles owns three fewer trumpets than the number of fingers he has, two more guitars than the number of hands he has, two more trombones than the number of heads he has, and one fewer French horn than the number of guitars he has, what is the total number of musical instruments that Miles owns?
answer:If Miles owns three fewer trumpets than the number of fingers he has, then he has 10 - 3 = 7 trumpets. If he owns two more guitars than the number of hands he has, then he has 2 + 2 = 4 guitars. If he owns two more trombones than the number of heads he has, then he has 1 + 2 = 3 trombones. If he owns one fewer French horn than the number of guitars he has, then he has 4 - 1 = 3 French horns. To find the total number of musical instruments Miles owns, we add up the number of each instrument: 7 trumpets + 4 guitars + 3 trombones + 3 French horns = 17. Miles owns a total of 17 musical instruments. 17 The answer is: 17
question:There were 100 people in attendance at the school dance. Ten percent of the attendees were school faculty and staff. Of the remaining attendees, two-thirds were girls. How many boys attended the school dance?
answer:Ten percent of the attendees were school faculty and staff, so 100 x 10% = 10 people were faculty and staff. The remaining attendees were 100 - 10 = 90 people. Two-thirds of the remaining attendees were girls, so 90 x 2/3 = 60 people were girls. Therefore, the number of boys who attended the school dance is 90 - 60 = 30. 30 The answer is: 30
question:Points A(3,5) and B(7,10) are the endpoints of a diameter of a circle graphed in a coordinate plane. How many square units are in the area of the circle? Express your answer in terms of pi.
answer:The midpoint of the line segment connecting A and B is the center of the circle. The midpoint is left(frac{3+7}{2}, frac{5+10}{2}right) = (5, 7.5). The radius of the circle is half the length of the diameter, so the radius is frac{1}{2}sqrt{(7-3)^2 + (10-5)^2} = frac{1}{2}sqrt{16 + 25} = frac{1}{2}sqrt{41}. The area of the circle is pi (text{radius})^2 = pi left(frac{1}{2}sqrt{41}right)^2 = boxed{frac{41pi}{4}}. The answer is: frac{41pi}{4}
question:The United States flag has 50 stars, one for every state in the union, and 13 stripes, which represent the original 13 colonies. Pete, inspired by history, decided to make his own flag. He used circles, to represent how many scoops of ice cream he can consume in one sitting, and squares, to represent the number of brownies he has hidden beneath his bed. For circles, he used 3 less than half the number of stars on the US flag, and for squares, he used six more than twice the number of stripes on the US flag. What is the combined total number of circles and squares on Pete's flag?
answer:The number of stars on the US flag is 50, so half of that is 50/2 = 25. Pete used 3 less than half the number of stars, so he used 25-3 = 22 circles. The number of stripes on the US flag is 13, and twice that is 13*2 = 26. Pete used six more than twice the number of stripes, so he used 26+6 = 32 squares. The combined total number of circles and squares on Pete's flag is 22+32 = 54. 54 The answer is: 54