Astore sells pencils in small and large boxes. a large box has ten times as many pencils as a small box. mr. adachi buys 5 small boxes and 2 large boxes, for a total of 250 pencils. mr. adachi sets up a system of equations to model this situation. one of the equations is y = 10x. what is the other equation? enter your answer in ax + by = c form, where a and b are whole numbers with no common factor other than 1.

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Which represents the number of times all outcomes less than a given outcome occur? cumulative frequency relative frequency frequency cumulative relative frequency

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0