Mixed Proportion Review

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Hillsborough Community College *

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1605

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Business

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Apr 3, 2024

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Have Skied Have Not Skied Ages 10-20 Ages 21-30 Total 71 43 The incomplete table above summarizes how many members of two different age groups have skied according to a recent survey. There are two times as many people ages 10-20 who have not skied as there are people ages 10-20 who have skied, and there are six times as many people ages 21-30 who have skied as there are people ages 21-30 who have not skied. If there is a total of 71 survey respondents who have skied and 43 survey respondents who have not skied, what is the probability that a person who has not skied selected randomly is in the 10-20 age group? (Round to the nearest hundredth.)
Tickets numbered 1 to 10 are mixed up, and then two tickets are drawn, with replacement. What is the probability that both tickets drawn will be a multiple of 2 ?
If the length of a rectangle is decreased by 40% and the width is decreased by 25%, the area of the resulting rectangle is smaller than the area of the original rectangle by what percent? (Disregard the % sign in your answer.)
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12% of 80 is 21—0 of what number?
Sharon purchased two bookcases, both in the shape of a right rectangular prism. The table below shows some information about the two bookcases. Length Width Mass Cost Bookcase 1 | 54 inches | 18 inches |80 pounds| $280 Bookcase 2 | 30 inches 55 pounds| $130 Bookcase 2 has a ratio of width to length of 2 to 5. What is the width, in inches, of Bookcase 27
If 4a + b is 250 percent of 6a, what is the b value of 3 ?
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Each of 150 distinct puzzle pieces is 1 of 6 different shapes and is numbered with 1 integer. There are 25 each of triangle, square, pentagon, hexagon, octagon, and decagon pieces numbered 1-25. One of the 150 pieces will be selected at random. What is the probability that the selected piece will be an octagon OR numbered 11? 5 A 750 19 B) 150 30 Q) 150 o 31
FarmCo, a local agriculture business, has two plots of land in City T. One plot of land has an area of 70 square miles and a corn density of 12,000 stalks per square mile. The second plot of land has an area of 40 square miles and a corn density of 7,000 stalks per square mile. What is the approximate corn density, in stalks per square mile, for FarmCo'’s two plots of land in City T?
A local restaurant serves soda to customers by the pint. Each week, the restaurant receives a 20 gallon shipment of soda syrup. How many customers can be served with this shipment? (1 gallon = 128 ounces; 1 pint = 16 ounces)
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Michael paid $21.20 for a baseball cap after a 6 percent sales tax was added. What was the price of the baseball cap before the sales tax was added?
Martin only uses red and green paper clips. Currently, Martin has 80 red paper clips and 60 green paper clips. If Martin purchases a pack of 100 green paper clips, how many more red paper clips would he need to purchase so that % of his total paper clips are red?
Tanya and Amanda are side by side when they begin to walk at the same time in the same direction around a city block. Tanya walks at a constant rate which causes her to walk around the block in 18 minutes, while Amanda walks at a constant rate which causes her to walk around the block in 30 minutes. If Tanya and Amanda continue to walk around the block, how many minutes after the beginning of the walk will Tanya again be at the same location as Amanda?
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A local television station sells time slots for programs in 15-minute intervals. If the station operates 24 hours per day, every day of the week, what is the total number of 15-minute time slots the station can sell for Friday, Saturday, and Sunday?
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?
If a 5-quart container of milk is equally divided between two smaller containers, and then each smaller container is divided among eight glasses, how much milk, in ounces, is in each of the glasses? (1 quart = 32 ounces)
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A typical image taken by Yolanda’s digital camera is 18 megabits in size. Yolanda can upload her photos to the internet at a rate of 7 kilobits per second for a maximum of 4 hours each day. If 1 megabit equals 1,024 kilobits, what is the maximum number of typical images that Yolanda can upload to the internet each day? (Round to the nearest whole number.)
How many liters of a 35% solution must be added to 8 liters of a 20% solution to obtain a 25% solution?
Jamie bought a tire at a local automotive store that gave a 40 percent discount off of the tire’s original price. The total amount paid to the cashier was d dollars, including a seven percent sales tax on the discounted price. Which of the following represents the original price of the tire in terms of d ? _d 0.4)(1.07) _d 0.6)(1.07) C) (0.4)(1.07)d A) B) D) (0.6)(1.07)d
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Concession Purchases at a Movie Theater Popcorn Popcorn not purchased | purchased Total Soda purchased % 65 120 Soda not 35 45 80 purchased Total 90 110 200 On Saturday, a local movie theater had 200 customers. The table above summarizes whether or not the customers on Saturday purchased soda, popcorn, both, or neither. Based on the data in the table, what is the probability that a movie theater customer selected at random on that day did not purchase soda?
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? SoZm2> AWN o 7 2 4 1
3r+ 6s 2s + 5t The ratioof rtosis 6to 1 and theratioof sto t is 10 to 1. What is the value of the above expression? 16 27 48 5 4 c:)‘;’—1 71 4
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Along a highway, there is a gas station every 12 miles and a restaurant every 20 miles. At a certain point along the highway, there is both a gas station and a restaurant. How many miles elapse until there is once again both a gas station and a restaurant along the highway at the same time?
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Patricia drove at a rate of 40 kilometers per hour for 15 minutes and then drove at a rate of 60 kilometers per hour for 30 minutes. What was her average rate, in kilometers per hour, at which she drove over this 45-minute period? 99
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As part of a probability experiment, Sarah is to answer 3 multiple choice questions. For each question, there are 5 multiple choice answers, only one of which is correct. If Sarah randomly and independently answers each question, what is the probability that she will answer the 3 questions correctly?
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The circumference of a Ferris Wheel on a local pier is 800 feet. The Ferris Wheel makes one complete rotation in 4 minutes. What is the average speed of the Ferris Wheel, in miles per hour, as it rotates? (Round to the nearest hundredth.)
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The lengths of corresponding sides of two rectangular playgrounds are in the ratio 5:14. The width of the larger playground is 112 feet long. How many feet long is the width of the smaller playground?
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Position Handedness | Catcher | Pitcher | Infielder |Outfielder Left 12 21 9 5 Right 8 18 X 13 Baseball players can be classified into four common position types—pitcher, catcher, infielder, and outfielder. Players are also characterized by whether they are right- or left-handed. The table above shows the distribution of position and handedness for a group of players. If one of these players who is right-handed is chosen at random, the probability that the person is a catcher is 13 What is the value of x ?
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A bag contains 12 refrigerator magnets. 2 of the magnets are circle-shaped, 3 of the magnets are square-shaped, and 7 of the magnets are triangle-shaped. A magnet is drawn at random and not returned to the bag, then a second magnet is drawn at random. What is the probability that the first magnet is circle-shaped and the second magnet is triangle-shaped?
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The changes in the price of a stock from one year to the next year for 3 consecutive years were a 20% increase, a 25% decrease, and a 60% increase. What amount was the increase in the price of the stock over the 3 years?
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3 What is %% of 5 ?
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Country Total Number of | Televisions per 100 Televisions Persons A 750 million 200 B 200 million 60 C 100 million 80 D 50 million 10 E 15 million 100 According to the table above, which of the five countries has the largest population? ) A ) ) ) gO0m > OO w>
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