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question:A bicycle store is running a promotion. Every time a customer buys a bicycle, they will receive 2 bike clamps free with it. If the store sells 19 bikes in the morning and 27 bikes in the afternoon, how many bike clamps has the store given to customers?
answer:In the morning, the store sold 19 bikes, so they gave away 19 x 2 = 38 bike clamps. In the afternoon, the store sold 27 bikes, so they gave away 27 x 2 = 54 bike clamps. Therefore, the store has given away a total of 38 + 54 = 92 bike clamps. 92 The answer is: 92
question:Karen is planning writing assignments for her fifth grade class. She knows each short-answer question takes 3 minutes to answer, each paragraph takes 15 minutes to write, and each essay takes an hour to write. If Karen assigns 2 essays and 5 paragraphs, how many short-answer questions should she assign if she wants to assign 4 hours of homework total?
answer:Karen assigns 2 essays, which take 1 hour each to write, so that's 2 * 1 = 2 hours. She also assigns 5 paragraphs, which take 15 minutes each to write, so that's 5 * 15 = 75 minutes, or 1.25 hours. So far, Karen has assigned 2 + 1.25 = 3.25 hours of homework. She wants to assign a total of 4 hours of homework, so she has 4 - 3.25 = 0.75 hours left. Since each short-answer question takes 3 minutes to answer, we can convert 0.75 hours to minutes by multiplying it by 60: 0.75 * 60 = 45 minutes. Therefore, Karen should assign 45 / 3 = 15 short-answer questions. 15 The answer is: 15
question:Let f(x) = Ax - 2B^2 and g(x) = Bx, where B neq 0. If f(g(1)) = 0, what is A in terms of B?
answer:We have g(1) = B(1) = B, so f(g(1)) = f(B) = AB - 2B^2. Since f(g(1)) = 0, we must have AB - 2B^2 = 0. Factoring out a B, we get B(A - 2B) = 0. Since B neq 0, we must have A - 2B = 0. Therefore, A = boxed{2B}. The answer is: 2B
question:f Aaron, Henry's brother, is 15 years old and Henry's sister is three times as old as Aaron, while Henry is four times as old as his sister, what is the total age of the siblings combined?
answer:If Aaron is 15 years old, then Henry's sister is 3 * 15 = 45 years old. Henry is four times as old as his sister, so Henry is 4 * 45 = 180 years old. The total age of the siblings combined is 15 + 45 + 180 = 240 years old. 240 The answer is: 240