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2011 AMC 10A Problem 3

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2011 AMC 10A Problem 3AMC 10 Step by Step
Name:                             Date: September 13, 2026
Functions · difficulty 1 of 5 · about 2 min · position P1-10

Suppose [a b][a\ b] denotes the average of aa and bb , and {a b c}\{a\ b\ c\} denotes the average of a,ba, b , and cc . What is {{1 1 0} [0 1] 0}\{\{1\ 1\ 0\}\ [0\ 1]\ 0\} ?

  1. A)

    29\frac{2}{9}

  2. B)

    518\frac{5}{18}

  3. C)

    13\frac{1}{3}

  4. D)

    718\frac{7}{18}

  5. E)

    23\frac{2}{3}

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