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Page 2 MATH SOLUTIONS A fast food chain has a contest in which a card with numbers on it is given to each customer who makes a purchase. If some of the numbers on the card add up to 100, then the customer wins $100. You make a purchase and receive a card contain- ing the numbers 72, 21, 15, 36, 69, 81, 9, 27, 42, and 63. Will you win $100? Why or why not?

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Please, if you can, answer at least half or more π Thank you so much! What value of x satisfies the equation 4x+0.2=3? —————————————————————————————————————————— Which equation has the solution, k=1.2? 3k+2=5.4 2k+5.4=3 2k+3=5.4 3k+5.4=2 —————————————————————————————————————————— What value of x satisfies the equation x6β15=730? —————————————————————————————————————————— Choose all the equations that have a=-1/2 as a solution. 2a/7+6/7=5/7 2a/7β6/7=5/7 4a/7+3/7=1/7 4a/7β3/7=1/7 —————————————————————————————————————————— 7 times the difference of a number and 3.2 is 8.4. Find the number. -4.4 -0.74 1.66 4.4 —————————————————————————————————————————— What value of x satisfies the equation 5x+1.5=7? Explain your answer. x=1.1 satisfies the equation because 7β1.5=5.5 and 5.55=1.1. x=1.1 satisfies the equation because 7β1.5=5.5 and 1.1β
5=5.5. x=-1.1 satisfies the equation because 1.5β7=-5.5 and -1.1β
5=-5.5. x=-1.1 satisfies the equation because 1.5β7=-5.5 and -5.55=-1.1. —————————————————————————————————————————— What value of x satisfies the equation 3x+1.2=3? Explain your answer. x=-0.6 satisfies the equation because 1.2β3=-1.8 and -0.6β
3=-1.8. x=0.6 satisfies the equation because 3β1.2=1.8 and 0.6β
3=1.8. x=-0.6 satisfies the equation because 1.2β3=-1.8 and -1.8/3=-0.6. x=0.6 satisfies the equation because 3β1.2=1.8 and 1.8/3=0.6. —————————————————————————————————————————— One sixth of a number, z, added to one fourth of the same number is 76. What is the number? Explain your answer. a.47, because the equation that represents this sentence is 1/6zβ1/4z=7/6. b.145, because the equation that represents this sentence is 1/6z+1/4z=7/6. c.74, because the equation that represents this sentence is 1/6z+1/2z=7/6. d.112, because the equation that represents this sentence is 1/6z+1/4=7/6. —————————————————————————————————————————— hree halves of a number, z, added to one third of the same number is 13. What is the number and why? a. 213, because the equation that represents this sentence is 2/3z+3/2z=1/3. b. 211, because the equation that represents this sentence is 3/2z+1/3z=1/3. c. 112, because the equation that represents this sentence is 3/2z+1/3z=1/3. d. 132, because the equation that represents this sentence is 2/3z+3/2z=1/3.

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