Mathematics, 09.12.2021 01:00 miltonC4191
Youβve fallen down a slippery, eighteen-feet deep hole. Each hour, you climb up three feet, and then slip backwards two feet. How many hours will it take you to reach the top of the hole and climb out?
Simplify these expressions.
a. 6ab + (β3x) + 2ab
b. 12x + 4y + (β3x)
c. 6w + (β2y) + 3w
d. 4abc + (β9abc) + 10d
Simplify these expressions.
a. 13xyz + 9 + 2xyz + 3
b. 6ab + (β2ab) + 4 + 6
c. 3 + 10x + (β2) + (β3x)
d. 2x + 3 + x + 10
Simplify and solve each of the following equations.
a. 6 + 8x β 2 β 6x = 20
b. 10b β 3b β 5 β 2 = 14
c. 36 = 2r + 6r β 10 + 6
d. 95 = 47 + 4a β 22 + 6a
Karen is thinking of a number. If she multiplies her number by β3 and then adds 6, she has β4 times the original number. What is Karenβs number? (Hint: Let x stand for her number, and use an equation to solve the problem.)
Solve each of the following inequalities.
a. 2k + 7 > 21
b. aβ3 + 12 < 5
c. 6h β 5 > 49
d. fβ7 β 9 < 34
Claire is organizing a retirement dinner for her boss. The restaurant where she plans to hold the dinner has a maximum capacity of 125 people. She already has reservations from 77 people. To meet the capacity requirements of the restaurant, the number of additional reservations she may take must not exceed what number?
Answers: 2
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An equation is shown below: 3(4x β 2) = 1 which of the following correctly shows the first two steps to solve this equation?
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Select all the correct answers.natalie buys a new car. in the first month, the odometer on the car records 800 miles. from past experience, she expects to drive 900 miles per monthselect all the functions that can be used to find the number of miles, f(n), recorded on the odometer after n months.of(n) = 800n + 100f(n) = 9001 - 100f(n) = 900n + 800(1) = 800; }(n) = f(n - 1) + 900, for n > 2f(1) = 800; 1(n) = f(n β 1) + 100, for n > 2(1) = 900; }(n) = f(n - 1) + 800, for n > 2
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The functions below show the amount of money bella and sweet t had saved after earning money for doing chores. which description best compares the two functions?
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Jalen charges $25.50 for every 3 hours of yard work he does for his neighbors. ralph charges $34 for every 4 hours of work that he does. who charges less? opinions: 1.they charge the same amount 2.jalen 3.ralph
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Youβve fallen down a slippery, eighteen-feet deep hole. Each hour, you climb up three feet, and then...
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