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Mathematics
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Apr 3, 2024
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A rectangle was altered by increasing its length by 40 percent and increasing its width by p percent. If these alterations increased the area of the rectangle by 75 percent, what is the value of p ? A) 15 B) 25 ) 35 ) 50
163 @ 425 Which of the following is equivalent to the above expression?
Bx+3)ax-2)-x>+ 6 In the expression above, a is a constant. If the expression is equivalent to bx, where b is a constant, what is the value of b ?
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4 . 5 _ mx+n x=-3) (x+7) (x=-3)(x+7) The equation above is true for all x > 3, where m and n are positive constants. What is the value of mn ?
30° Y 42 In the figure above, the given side lengths of AXYZ are in centimeters. What is the area, in square centimeters, of AXYZ ? Z
A survey of 24,000 randomly selected Americans aged 20 through 29 in the United States was conducted to gather data on podcast listenership. The data are shown in the table below. Listen to Do Not Listen Total Podcasts to Podcasts Ages 20 to 24 11,145 5,232 16,377 Ages 25 to 29 4,673 3,950 8,623 Total 18,818 9,182 24,000 Based on the data, how many times more likely is it for someone 20 to 24 years old to listen to podcasts than it is for someone 25 to 29 years old to listen to podcasts? (Round to the nearest hundredth.) A B) C) D) 0.80 times as likely 0.92 times as likely 1.26 times as likely 1.43 times as likely
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A local library is organizing its books by genre. Of the books, 35% are History, 20% are Biography, 40% are Fiction, and the remaining 75 books are Fantasy. How many more Fiction books does the library have than Biography books?
Brenna read x books in 2016. The number of books that she read in 2018 was 134% greater than in 2017, and the number of books that she read in 2017 was 47% greater than in 2016. Which of the following expressions represents the number of books Brenna read in 2018? A < (0.47)(1.34x) (0.47)(2.34x) (1.47)(1.34x) (1.47)(2.34x) S ~— B C D ~
For 9 consecutive integers, the product of the third and seventh integers is 6 more than 10 times the fourth integer. If the first integer is greater than 0, what is the eighth integer?
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Number of hours of work each day 5 Number of rows in a section 19 Number of sections in a level 25 Number of seats installed each minute 8 Number of levels in the stadium 3 Number of seats in the stadium 81,234 A crew is installing seats in a new sports stadium. The table above shows information about the stadium, the speed of seat installation, and the amount of time each day that seats are installed. If seats are installed at the rates given in the table, which of the following is closest to the number of days it would take to install all of the seats? voZ> AWN = A = hA NN
Rachel has a carton containing [ lollipops to give to her classmates. If she gives each classmate 4 lollipops, she will have 3 lollipops left over. In order to give each classmate 6 lollipops, she would need an additional 33 lollipops. How many classmates does Rachel have?
A non-profit organization recently held a charity drive. As of 2 p.m., the organization had raised $1,400, and as of 6 p.m., the organization had raised $2,100. If the amount of money raised by the non-profit organization increased at a constant rate, what linear model describes the total money raised t, in dollars, at a time of h hours after 11 a.m.? t=175h t=175h + 875 t=175h+ 1,050 t=700h gozm2
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At the beginning of the month, a book seller had an inventory of 820 books. During the first 8 days of the month, 25 additional books were purchased by the book seller each day, and the book seller sold an average of 32 books per day. During the first 8 days of the month, which of the following equations best models the book inventory, b, of the book seller t days after the beginning of the month? A) b=-t+820 B) b=t+820 Q) b=—%t+820 D) b=-7t+820
The equation t = 74.3 + 0.167m approximates the temperature t, in degrees Fahrenheit, of a piece of asphalt that is exposed to the midday sun for m minutes. What is the amount of time that is necessary to increase the temperature of the asphalt by 1 degree Fahrenheit? A) O‘I‘IW minutes B) 71—3 minutes C) 0.167 minutes D) 74.3 minutes