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question:Cara is sitting at a circular table with her five friends as shown below. How many different possible pairs of people could Cara be sitting between? [asy] draw(circle((0,0),1)); label("_",1.5dir(0)); label("_",1.5dir(60)); label("Cara",1.5dir(120)); label("_",1.5dir(180)); label("_",1.5dir(240)); label("_",1.5dir(300)); [/asy]
answer:Cara can sit between any two of her five friends. So, there are binom{5}{2} = boxed{10} different possible pairs of people Cara can sit between.The answer is: 10
question:Mark orders 100 chicken nuggets. A 20 box of chicken nuggets cost 4. How much did he pay for the chicken nuggets?
answer:If a 20-box of chicken nuggets costs 4, then each chicken nugget costs 4 / 20 = 0.20 Mark ordered 100 chicken nuggets, so he paid 100 * 0.20 = 20 for the chicken nuggets 20 The answer is: 20
question:Find the sum of all solutions to the equation (x-6)^2=25.
answer:First, we expand the equation to get x^2 - 12x + 36 = 25. Rearranging the terms, we have x^2 - 12x + 11 = 0. By factoring, we find (x - 1)(x - 11) = 0. So, the solutions to the equation are x = 1 and x = 11. The sum of these solutions is 1 + 11 = boxed{12}. The answer is: 12
question:After purchasing 10 packages of miniature racing cars, with each package containing five cars, Tom gave each of his two nephews 1/5 of the cars. How many miniature racing cars are remaining with Tom?
answer:Tom purchased 10 packages * 5 cars/package = 50 miniature racing cars. He gave each of his nephews 1/5 * 50 = 10 cars. So, he gave away a total of 2 nephews * 10 cars/nephew = 20 cars. Therefore, Tom is left with 50 cars - 20 cars = 30 miniature racing cars. 30 The answer is: 30