Raul can make 4 cutting boards or 3 pencil holders in one hour in his woodworking class. He needs to make 36 items that he can sell at the Christmas market. Let X be the number of hours he spends making cutting boards and Y be the number of hours he spends making pencil holders. Write an equation that represents the possible ways he can allocate his time to reach his 36 item goal.

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What expression is equivalent to (2x-1)(x-3)?

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

Two angles are complementary. the large angle is 36 more than the smaller angle. what is the measure of the large angle?