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According to one survey, the number of consumers who planned to purchase a television for the purposes of viewing the Super Bowl rose from 1.4 million in 2005 to 4.5 million in 2011. Suppose that in 2005 the average purchase price for a television was \$935. In 2011 the average purchase price for a television was down to P dollars. If everyone surveyed in 2005 and 2011 who indicated that they planned to purchase a television for viewing the Super Bowl actually did, for what value of P would the total amount spent by those consumers be the same in 2005 and 2011? Express your answer as a decimal rounded to the nearest cent.

935*1.4 mil = P*4.5 mil (mult 935 by 1.4)
1309 mil = P*4.5 mil (divide both sides by 4.5)
290.8888888888888=P
So P = \$290.89

two congruent opposite sides of a trapezoid are each 4 inches longer than the top base of the trapezoid. The top base of the trapezoid is one third as long as the bottom base of the trapezoid. If the perimeter is 56 inches, what is the length of each of the four sides of the trapezoid?

The bottom of the Trapezoid =x, the top = (1/3x), the sides then = (1/3x + 4").

So the equation looks like this:
x + 1/3x + (1/3x + 4) + (1/3x +4)=56
Solve for X:
2x + 8 = 56
then x=24
Plug your # for x back into the dim. for each side and you get:
Bottom = x = 24
Top = (1/3(24)) = 8
Sides= (1/3(24))+4 = 12