The work of a student trying to solve the equation 3(4x − 2) = 9 + 2x + 5 is shown below: Step 1: 3(4x − 2) = 9 + 2x + 5 Step 2: 12x − 2 = 14 + 2x Step 3: 12x − 2x = 14 + 2 Step 4: 10x = 16 Step 5: x = 1.6 In which step did the student first make an error and what is the correct step? (4 points) Step 2: 12x − 2 = 4 + 2x Step 2: 12x − 6 = 14 + 2x Step 3: 12x + 2x = 14 + 2 Step 3: 12x − 2x = 14 − 2

How many ordered pairs of positive integers satisfy xy=32?

Let us imagine that the number of automobile accidents in a certain region are related to the regional number of registered automobiles in tens of thousands (b1), alcoholic beverage sales in $10,000 (b2), and decrease in the price of gasoline in cents (b3). furthermore, imagine that the regression formula has been calculated as: y = a + b1x1 + b2x2 + b3x3 where y = the number of automobile accidents, a = 7.5, b1 = 3.5, b2 = 4.5, and b3 = 2.5 calculate the expected number of automobile accidents for a football weekend if the region has 25,000 registered vehicles, $75,000 worth of beer is sold, and a gas war causes a 10 cent drop in a gallon of gas.

Atotal of 505 tickets were sold for a school play they were either adult tickets or student tickets they were 55 more student tickets so than adult tickets how many adult tickets were sold ?