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Answer each question with a rational expression. Be sure to

Sent to Math Experts May 11 09:44 PM

Answer each question with a rational expression. Be sure to include the units. #100 If nine pounds of pears cost x dollars, then what is the price per pound?   #104Toxic pollutants. The annual cost in dollars for removing p% of toxic chemicals from a town's water supply is given by the formula. C(p)=500,000/100-p Use the formula to determine the cost for removing 99.5% of the toxic chemicals.
What happens to the cost as the percentage of pollutants removed approaches 100% ? #84 Let R = 6x^2+23x+20/24x^2+29x-4   and H= 2x+5/8x-1 Find R when x= 2 and x=3. Find H when x=2 and x=3 How are these values of R and H related and why?   #84
Perimeter of a triangle.The lengths of the sides of a triangle are 1/x, 1 /2x, and 2/3x meters. Find a rational expression for the perimeter of the triangle. #24Coffee drinkers. Among 100 coffee frinkers, 36 said that they preferred their coffee black and the rest did not prefer their coffee black. Find the ration of those who prefer black coffee

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May 11 10:23 PM (38 minutes and 40 seconds later)
         
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#100

price per pound = x/9

#104

C(p)=500,000/100-p

C(p)=500,000/100-99.5 = 1,000,000

As the percentage of pollutants removed approaches 100%, the cost approaches infinity.

#84

for x = 2,

R = 6(2)^2+23(2)+20/24(2)^2+29(2)-4 = 90/150 = 3/5

H = 2(2)+5/8(2)-1 = 9/15 = 3/5

for x = 3,

R = 6(3)^2+23(3)+20/24(3)^2+29(3)-4 = 143/299 = 11/23

H = 2(3)+5/8(3)-1 = 11/23

Values of R and H are the same, because R = H*(3x+4)/(3x+4)

#84

Perimeter = 1/x + 1/2x + 2/3x = 13/3x

#24

ratio = 36/100 = 9/25




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