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• the cost in dollars to produce x cups of lemonade is represented by the function c(x)=10+0.20x. the revenue in dollars earned by selling x cups of lemonade is represented by the function r(x)=0.50x. what is the minimum number of whole cups of lemonade that must be sold for the revenue to exceed the cost? 33 cups 33.33 cups 33.67 cups 34 cups
  
• personal behavior is the only factor that determines if a person becomes ill. true or false
  
• francisco and bernardo, two castle guards in elsinore, denmark, stand alert on the castle steps at night. this is part of the plot’s exposition. climax. falling action. resolution.
  
• the product of two consecutive integers is 72. the equation x(x + 1) = 72 represents the situation, where x represents the smaller integer. which equation can be factored and solved for the smaller integer? x2 + x – 72 = 0 x2 + x + 72 = 0 x2 + 2x – 72 = 0 x2 + 2x + 72 = 0
  
• why are very high temperatures and pressures required for fusion to occur? to generate the neutrons that are needed to break the nuclei to overcome the repulsion between the protons in the nuclei that join to maintain the proper conditions to keep the chain reaction going to keep the uranium fuel separate from the control rods
  
• which statements about this system of equations are true? check all that apply. the x-variable will be eliminated when adding the system of equations. the y-variable will be eliminated when adding the system of equations. the sum of the system of equations is . there is only one solution to the system of equations.
  
• what could be predicted if elisondra and her friends use the spinner to decide who orders first during 40 visits? check all that apply. a different person will order first every time. elisondra will order first approximately 10 times. diya will order first exactly 20 times. the spinner will land on elisondra’s section 40 times. each person will order first approximately the same number of times.
  
• process by which organisms with favorable traits produce more successful offspring than organisms with less-favorable traits, causing the favorable traits to become more common in the population
  
• which sentence most likely comes from a narrative essay? the best way to ensure that the eggs don't scorch is to keep an eye on them and stir continuously. nervous about landing on the new planet, captain hassan pored over possible scenarios for hours. i looked up at the audience and tried to swallow my fear, wiping my sweaty hands on my skirt. botanists have discovered that alpine plant life is far more varied than was previously thought.
  
• hector earns $12 an hour plus a daily per diem of $15. this week he worked 4 days and earned a total of $444. write an equation to find how many hours hector worked this week.