ATI TEAS TEST MATHEMATICS-with 100 VERIFIED SOLUTIONS 2023-2024, Exams of Mathematics

Download ATI TEAS TEST MATHEMATICS-with 100 VERIFIED SOLUTIONS 2023-2024 and more Exams Mathematics in PDF only on Docsity! Which of the following is the percentage equivalent of 0.0016? A.16 B.160 C16 D. 0.16 - D. To derive a percentage from a decimal, multiply by 100: 0.0016(100) = 0.16 Curtis is taking a road trip through Germany, where all distance signs are in metric. He passes a sign that states the city of Dusseldorf is 45 kilometers away. Approximately how far is this in miles? A. 42 miles B. 37 miles C. 28 miles D. 16 miles - C. one kilometer is about 0.62 miles, 45(0.62) = 27.9 approximately 28 miles Ona floor plan drawn at a scale of 1:100, the area of a rectangular room is 30 cm2. What is the actual area of the room? A. 30,000 cm2 B.300 m2 C. 3,000 m2 D. 30 m2 - D. Since there are 100 cm ina meter, on a 1:100 scale drawing, each centimeter represents one meter. Therefore, an area of one square centimeter on the drawing represents one square meter tin actuality. - Since the area of the room in the scale drawing is 30 cm2, the room's actual area is 30 m2. L/100 x W/100 = 30 cm2 1w/100 = 30 cm2 Area = 300,000 cm2 300,000 cm2 x. 1m/100 cm x 1m/100 cm = 30m2 Mandy can buy 4 containers of yogurt and 3 boxes of crackers for $9.55. She can buy 2 containers of yogurt and 2 boxes of crackers for $5.90. How much does one box of crackers cost? A.$1.75 B. $2.00 C. $2.25 D. $2.50 -C. The situation may be modeled by the system: 4x + 3y = 9.55 2x + 2y = 5.90 Multiplying the bottom equation by - 2 gives: 4x + 3y=9.55 A.19/16 B.11/4 c.21/8 D. 2 - A. To simplify, proceed it he order of the operations: (2/3) / (4/15) = (3/2) x (15/4) = 30/12 = 10/2 = 5/2 5/2* 5/8 = 25/16 = 19/16 Simplify following expression: 0.0178 X 2.401 A. 2.0358414 B. 0.0427378 C. 0.2341695 D. 0.3483240 - B. This is a simple matter of multiplication. The production is 0.00427378. Tom needs to buy ink cartridges and printer paper. Each ink cartridge costs $30. Each ream of paper cost $5. He has $100 to spend. Which of the following inequalities may be used to find the combinations of ink cartridges and printer paper that he may purchase? A.30c + 5p < 100 B.30c+5p<100 C.30c + 5p > 100 D.30c + 5p > 100- A. The inequality will be less than or equal to, since he may spend $100 or less on his purchase. Solve for x: A(2x-6) = 10x-6 A.x=5, B.x=-7 C.x=-9 D. x= 10 - C. Multiplying the equation results in the following: 8x- 24 =10x-6 +6 +6 8x- 18 = 10x 8x -8x -18 = 2x -18/2 = 2x/2 -9=x 9 Erma has her eye on two sweaters at her favorite clothing store, but she has been waiting for the store to offer a sale. This week, the store advertises that all clothing purchases, including sweaters, come with an incentive: 25 offa second item of equal or lesser value. One sweater is $50 and the other is $44. If Erma purchases the sweaters during the sale, what will she spend? A.$79 B. $81 C. $83 D. $85 - C. Erma's sale discount will be applied to the less expensive sweater, so she will receive the $44 sweater for 25 off. This amount to a discount of $11, so the cost of the sweater will be $33. Recommended for you ‘vv Document continues below NRNP 6665 Final Exam-with 100% verified solutions-2023- 2024 swift river 1@ 100% (10) HESI A2 V2 Biology Exam-with 100% verified solutions- 2023-2024 swift river 1¢ 100% (3) EPIC CLN 251:252 EXAM-with 100% verified solutions-2023- 2024 swift river 1@ 33% (12) Midterm exam 2018, questions Object Oriented Software Development 1@ 100% (7) = (14/3) / (7/6) = (14/3) X (6/7) =14x6=84 =3x7=21 84/21=4 Solve for x: 2x+4=x-6 x=-10 Solve for x: 2x-7=3 Ax=4 B.x=3 Cx=-2 D.x=5 - D. To solve the equation for x, you can follow the steps below: 2x-7=3 +747 2x=10 2x/2= 10/2 x=5 What kind of association does the scatter plot show? A. linear, positive B. linear, negative C. quadratic D. no association - D. The points do not show any trend line or trend curve at all. So, there is no association int he scatter plot. If Stella's current weight is 56 kilograms, which of the following is her approximate weight in pounds? (Note: 1 kilogram is approximately equal to 2.2 pounds.) A. 123 pounds B. 110 pounds C. 156 pounds D. 137 pounds - A. To find the correct answer, simply multiply 56 by 2.2. 56x 2.2 = 123.2 Approximately 123. This is Stella's weight in pounds. Which of the following is listed I order from least to greatest? A.-3/4,- 73/4, -8, 18, 0.25, 2.5 B.-8,-74/5,- 3/4, 0.25, 2.5, 18 C.18, 0.25, - 3/4, 2.5, - 7 4/5, -8 D. -8, - 7 4/5, - 3/4, 18 , 0.25, 2.5 - D. The smallest negative integers are those that have the largest absolute value. - The negative integers, writing in order from least to greatest, are - 8,- 7 4/5, - 3/4. - The percentage, 18 can be written as the decimal, 0.18; 0.18 is less than 0.25. - The decimal, 2.5, is the greatest rational number given. - The values, -8, -7 4/5, -3/4, 18 , 0.25, 2.5. Between the years 2000 and 2010, the number of births in the town of Daneville increased form 1432 and 2219. Which of the following is the approximate percent of increase int he number of births during those ten years? ASS B. 36 C.64 D.42- A. - Begin by subtracting 1432 from, 2219. 2219-1432 = 787 - Then, divide 787 by 1432 to find the percent of increase: 0.549. 787 /1432 = 0.549 Margery is panning a vacation, and she has added up the cost. Her round-trip airfare will cost $572. Her hotel cost is $89 per night, and she will be staying at the hotel for five nights. She has allotted a total of $150 for sightseeing during her trip, and she expects to spend about $250 on meals. As she books the hotel, she is told that she will receive a discount of 10 per night off the price of $89 after the first night she stays there. Taking this discount into consideration, what is the amount that Margery expects to spend on her vacation? A. $1328.35 B. $1373.50 C. $1381.40 D. $1417.60 - C. Start by adding up the costs of the trip, excluding the hotel cost: $572 + $150 + $250 = $972. - Then, calculate what Margery will spend on the hotel. - the first of her five nights at the hotel will cost her $89. -For each of the other four nights, she will get a discount of 10 per night, or $8.90. - This discount of $8.90 multiplied by the four nights is $35.60. - The total she would have spent on the five nights without the discount is $445. - With the discount, the amount goes down to $409.40. - Add this amount to the $972 for a grand total of $1381.40. Given the double bar graph shown below which of the following statements is true? A. Group A is negatively skewed, while group B is approximately normal. B. Group A is positively skewed, while Group B is approximately normal. C. Group A is approximately normal, while Group B is negatively approximately skewed. D. Group A is approximately normal, while Group B is postively approximately skewed. - B. Data is said to be positively skewed when there are a higher number of lower values, indicating data that is skewed right. - An approximately normal distribution shows an increase in frequency, followed by a decrease in frequency, of approximately the same rate. A grift box has a length of 14 inches, a height of 8 inches, and a width of 6 inches. How many square inches of wrapping paper are needed to wrap the box? A.56 B. 244 C.488 D. 672 - C. The surface area of a rectangular prism may be calculated using the formula SA = 2lw + 2wh + 2h Substituting the dimensions of 14 inches, 6 inches, and 8 inches gives: SA = 2(14)(6) + 2(6)(8) + 2(8)(14) Thus, the surface area is 488 square inches. After a hurricane struck a Pacific island, donations began flooding into a disaster relief organization. The organization provided the opportunity for donors to specify where they wanted the money to be used, and the organization provided four options. When the organization tallied the funds received, they allotted each to the designated need. Reviewing the chart below, what percentage of the funds was donated to support construction costs? A49 B.23 c.18 D. 10 - B. Start by locating the section of the pie chart that represents construction. - It looks close to a quarter of the pie chart, which means that it is probably 23 , but you can verify by adding up the numbers. - The total amount of all donations is about $1.3 million and the amount given for construction is $0.3 million 0.3/1.3 = 0.227 - 23 Arrange the following numbers above form least to greatest: 7/3, 9/2, 10/9, 7/8 A. 10/9, 7/3, 9/2, 7/8 B. 9/2, 7/3, 10/9, 7/8 C.7/3, 9/2, 10/9, 7/8 D. 7/8, 10/9, 7/3, 9/2 - D, Turn the fractions into mixed numbers to see the amounts more clearly. - The result is that 7/8 is smaller than 10/9, or 1 (1/9), which is smaller than 7/3, or 2 (1/3), which is smaller than 9/2, or 4 (1/2). Simplify the following expression: (2/7) / (6/6) A. 2/5 B. 35/15 €.5/21 D. 12/35 - D. In order to divide the terms, they must first be arranged as a multiplication by keeping the first fraction as is, changing the division sign to multiplication, and taking the reciprocal of the send fraction: 2/7 x 6/5 - Then, multiply the new terms: 2/7x 6/5 = 12/35 Simplify the following expression: 7+16-(5+6x3)-10x2 D. 1/20 - C. According to the problem statement, 60 of the class wanted to work with the elderly. - Therefore, convert 60 to a fraction: : 60 = 60/100 - Now simplify the above fraction using a greatest common factor of 20. 60/100 60/20 =3 100/20=5 =3/5 Veronica has to create the holiday schedule for the neonatal unit at her hospital. She knows that 35 of her staff members will not be available because they are taking vacation days during the holiday. Of the remaining staff members who will be available, only 20 are certified to work in the neonatal unit. What percentage of the TOTAL staff is certified and available to work in the neon unit during the holiday? AT B.13 C.65 D. 80 - B. Since 35 of the staff will take vacation days, only 100 - 35 = 65 of the staff is available to work. - Of the remaining 65 , only 20 are certified to work in the neonatal unit. - Therefore multiply 65 by 20 Convert 65 and 20 into decimals by dividing both numbers by 100. 65/100 = 0.65 20/100 = 0.20 Now multiply 0.65 by 0.20 to get (0.65)(0.20) = 0.13 Now convert 0.13 to a percentage by multiplying by 100 (0.13)(100) = 13 Apatient requires a 30 decrease int he dosage of his medication. His current dosage in 340 mg, What will his dosage be after the decrease? A.70 mg B. 238 mg C. 270 mg D. 340 mg - B. The patient's dosage just decrease by 30 . So calculate 30 of 340: (0.30)(34 mg) = 10.2 mg - Now subtract the 30 decrease from the original dosage. 340 mg- 102 mg = 238 mg A study about anorexia was conducted on 100 patients. Within that patient population 70 ‘were women, and 10 of the men overweight as children. How many male patients in the study were NOT overweight as children? A3 B. 10 C.27 D. 30 - C. Since 70 of the patients in the study were women, 30 of the patients were men. - Calculate the number of male patients by multiplying 100 by 0.30. (100)(0.30) = 30 - Of the 30 male patients in the study, 10 were overweight as children. So 90 were not overweight. - Multiply 30 by 0.90 to et the final answer. (0.30)(0.90) = 27 University Q has an extremely competitive nursing program. Historically 3/4 of the students in each incoming class major in nursing but only 1/5 of those who major in nursing actually complete the program. If this year's incoming class has 100 students, how many students will complete the nursing program? A.75 B.20 C15 D. 5 - C. If the incoming class has 100 students, then 3/4 of those students will major in nursing. (100)(3/4) = 75 - So 75 students will major in nursing but only 1/5 the 75 will complete the nursing program. (75)(1/5) = 15 - Therefore, 15 students will complete the program. 1. The next two questions are based on the following information: Four nurse midwives open a joint practice together. They use a portion of the income to pay for various expenses for the practices. Each nurse midwife contributes $2000 per month. The first midwife uses 2/5 of her monthly contribution to pay the rent and utilities for the office space. She saves half of the remainder for incidental expenditures, and uses the rest of the money to purchase medical supplies. How much money does she spend o medical supplies each month? A. $600 B. $800 C.$1000 D. 65.12 + 0.12x - A. the flat rate of $65 represents the y-intercept, and the charge of $0.12 per roaming minute used represents the slope. - Therefore, the expression representing his monthly phone bill is: 65+ 0.12x Robert is planing to drive 1,800 miles on a cross-country trip. If his car gets 30 miles to the gallon, and his tank holds 12 gallons of gas, how many tanks of gas will be need to complete the trip? A. 3 tanks of gas B. 5 tanks of gas C. 30 tanks of gas D. 60 tanks of gas - B. First, determine how many miles can be driven on one tank of gas by multiplying the numbers of gallons in a tank by the miles per gallon: 12 gallons/tank x 30 miles/gallon = 360 miles - Next, divide the total miles for the trip by the number of miles driven per tank of gas to determine how many total tanks of gas Robert will need: 1,800 miles + 360 miles/tank = 5 tanks A patient was taking 310 mg of antidepressant each day. However, the doctor determined that his dosage was too high and reduced the dosage by a fifth. Further observation revealed the dose was still too high, so he reduced it again by 20 mg. What is the final dosage of the patient's antidepressant? A. 20 mg B. 42 mg C. 228 mg D. 248 mg - C. To obtain the new dosage, subtract 1/5th of 310 mg from the original dosage of 310 mg, then subtract 20 mg. 310 mg - (310 x 1/5 mg) - 20 mg 310 mg - (62 mg) - 20 mg = 228 mg A lab technician took 100 hairs from a patient to conduct several tests. The technician used 1/7 of the hairs for a drug test. How many hairs were used for the drug test? Round your answer to the nearest hundredth. A. 14.00 B. 14.20 C.14.29 D. 14.30 - C. Find 1/7 of 100 by multiplying: (100)(1/7) = 100/7 = 14.2857 = 14.29 100/7 is an improper fraction. Convert the fraction to a decimal and round to the nearest hundredth to get 14.29. What kind of association does the scatter plot show? A. positive, linear association B. Negative, linear association C. non-linear association D. no association can be determined - B. A single straight one can be drawn that is close to many of the points. The slope of that line would be negative, so the points have a negative, linear association. Joshua has to earn more than 92 points on the state test n order to qualify for an academic scholarship. Each question is worth 4 points, and the test has a total of 30 questions. Let x represent the number of test questions. Which of the following inequalities can be solved to determine the number of questions Joshua must answer correctly? A.4x < 30 B.4x <92 C.4x > 30 D. 4x > 92 - D, In order to determine the number f questions Joshua must answer correctly, consider the number of points he must earn. Joshua will receive 4 points for each question he answers correctly, and x represents the number of questions. Therefore, Joshua will receive a total of 4x points for all the questions he answers correctly. Joshua must earn more than 92 points. Therefore, to determine the number of questions he must answer correctly, solve the inequality 4x > 92. Susan decided to celebrate getting her first nursing job by purchasing a new outfit. She bought a dress for $69.99 and a pair of shoes for $39.99. She also bought accessories for $34.67. What was the total cost of Susan's outfit, including accessories? A. $69.99 B. $75.31 C.$ 109.98 D. $144.65 - D. To determine the total coast of Susan's outfit add all her purchases: $69.99 + $39.99 + $34.76 = $144.65 Given the histograms shown below, which of the following statements is true? A. Group A is negatively skewed and has a mean that is less than the mean of Group B. B. Group A is positively skewed and has a mean that is more than the mean of Group B. C. Group B is negatively skewed and has a mean that is more than the mean of Group A. 2x+6=14 Ax=4 B.x=8 C.x=10 D. x= 13 - A. Solve the equation for x; 2x/2 = 8/2 x4 In the 2008 Olympic Games, the semifinal beat for the Women's 200m event had the following result: Time (in seconds) 22.33 22.50 22.50 22.61 22.71 22.72 22.83 23.22 What was the mean time for the women who ran this 200m event? A. 22.50 sec B. 22.66 sec C. 22.68 Sec D. 22.77 sec - C. To determine the mean time for this event, add up al 8 event times (22.33 + 22.50 + 22.50 + 22.61 + 22.71 + 22.72 + 22.83 + 23.22 = 181.42) and then divide that value by 8: 181.42/8 = 22.68 sec. - Answer A is the mode value of the event times. - Answer B is the median value of the event times. - In Answer D, the mean was incorrectly calculated by only adding the first and last times (22.33 + 23.22) and then dividing that value by 2. During week 1, Nurse Cameron works 5 shifts. During week 2, she worked twice as many shifts as she did during week 1. During week 3, she added 4 shifts to the number of shifts she worked during week 2. Which equation below describes the number of shifts Nurse Cameron worked during week 3? A. Shifts = (2)(5) +4 B. Shifts = (4)(5) +2 C. Shifts=5+2+4 D. Shifts = (5)(2)(4) - A. - During week 1, Nurse Cameron worked 5 shifts: Shifts for week 1 = 5 - During week 2, she worked twice as many shifts as she did during week 1: Shifts for week 2 = (2)(5) - During week 3, she added 4 shifts to the number of shifts she worked during week 2: Shifts for week 3 = (2)(5) + 4 Simplify the following expression: (3)(-4) + (3)(4) -1 A-1 B.1 C.23 D. 24- A. Use the order of operations to solve this problem: (3)-4) + 3)@4)-1 =-12+(3)(4)-1 =-124+12-1 How many cubic inches of water could this aquarium hold if it were filled completely? A. 3600 cubic inches B. 52 cubic inches C. 312 cubic inches D. 1144 cubic inches - A. The volume formula for a rectangular solid is V = lwh Plugging in values then evaluating will yield the final answer. V = (30 in)(10 in)(12 in) V = 3600 cubic inches What statement best describes the rate of change? A. Every day, the snow melts 10 centimeters. 4.69 + 2.03 + 0.25 = 6.97 hours A box in the form of rectangular solid has a square base of 5 feet in length, a width of 5 feet, and a height of h feet. If the volume of the rectangular solid is 200 cubic feet, which of the following equations may be used to find h? A.5h = 200 B. 5h2 = 200 C.25h = 200 D.h = 200 = 5 - C. Use the formula Volume = length x width x height: 200=5x5xh 25h = 200 Two even integers and one odd integer are multiplied together. Which of the following could be their product? A.3.75 B.9 C.16.2 D. 24 - D. Integers include all positive and negative whole numbers and the number zero. The produce of three integers must e an integer, so you can eliminate ay answer choice that is not a whole number: choices (A) and (C). The product of two even integers is even. The product of even and odd integers is even. The only even choice is 24. There are 80 mg/0.8 mL in Acetaminophen Concentrated Infant Drops. If the proper dosage for a four-year-old child is 240 mg, how many milliliters should the child receive? A.0.8 mL B. 1.6 mL C.2.4mL D. 3.2 mL - C. Divide the mg the child should receive by the number of mg in 0.8 mL to determine how many 0.8 mL doses the child should receive: 240/80 = 3. Multiply the number of doses by 0.8 to determine hw many mL the child should receive: 3x0.8=24mL Using the chart below, which equation describes the relationship between x and y? xy 26 39 A.x= 3y B.y = 3x Cy =1/3x D. x/y = 3 - B. The chart indicates that each x value must be tripled to equal the corresponding y value, so y = 3x. One way you can determine this is by plugging corresponding pair of x and y into the answer choices. Ona highway map, the scale indicates that 1 inch represents 45 miles. If the distance on the map is 3.2 inches, how far is the actual distance? A.45 miles B. 54 miles C.112 miles D. 144 miles - D. Use the following proportion: lin=3.2in 45 miles x miles Cross multiply: x= (45)(3.2) = 144 miles Andy has already saved $15. He plans to save $28 per month. Which of the following equations represents the amount of money he will have saved? A.y=15 + 28x B.y = 43x +15 Cy = 43x D.y = 28 + 15x~ A. The amount of money he has already saved represents the y-intercept. The amount of money he intends to save per month represents the slope. Thus, his savings can be represented by the equation, y =28x+15 or y=15 + 28x Given the double bar graph shown below, which of the following statements is true? A. The number of trees planted by the Juniors is positively skewed, while the number of trees planted by the Senior is approximately normal. B. The number of trees planted by the Junior is negatively skewed, while the number of trees planted by the Seniors is positively skewed. C. The number of trees planted by the Juniors is positively skewed, while the number of trees planted by the Seniors is negatively skewed. Which of the following describes a graph that represents a proportional relationship? A. The graph has a slope of 2,500 and ay-intercept of 250 B. The graph has a slope of 1,500 and a y-intercept of - 150 C. The graph has a slope of 2,000 and a y-intercept of 0 D. The graph has a slope of - 1,800 and a y-intercept of - 100 - C. A graph that has a y- intercept of 0 indicates a proportional relationship because the starting value is 0, and no amount is added to, or subtracted from, the term, containing the slope. University X requires some of its nursing students to take an exam before being admitted into the nursing program. In this year's class 1/2 the nursing students were required to take the exam and 3/5 of those who took the exam passed the exam. If this year's class has 200 students, how any students passed the exam? A.120 B. 100 C.60 D.50 - C. If the incoming class has 200 students, then 1/2 of those students were required to take the exam. (200)(1/2) = 100 So 100 students took the exam but only 3/5 of that 100 passed the exam. (100)(3/5) = 60 Therefore 60 students passed the exam. 1. The next two questions are based on the following information: Four roommates must use their financial aid checks to pay their living expenses. Each student receives $1000 per month. One roommate is saving to buy a house, so each month he puts money aside in a special house savings account. The ratio of his monthly house savings to his rent is 1:3. If he pays $270 per month in rent, how many money does he put into his house savings account each month? A.$90 B. $270 C. $730 D. $810 - A. The ratio of his savings to his rent is 1:3, which means that for every $3 he pays in rent, he saves $1 for the purchase of a house. So to calculate the amount the fourth roommate saves for the purchase of a house, divide $270 by 3. $270 = $90 B 2. The next two questions are based on the following information: Four roommates must use their financial aid checks to pay their living expenses. Each student receives $1000 per month. Three of the roommates decided to combine their money to purchase a single birthday gift for the fourth roommate. The first roommate donated $12.03. The second roommate contributed $11.96, and the third roommate gave $12.06. Estimate the total amount of money the roommates used to purchase the gift. A. $34 B. $35 C.$36 D. $37 - C. Each roommate donated about $12 towards the gift purchase. $12 + $12 + $12 = $36 Jeremy put a heavy chalk mark on the tire of his bicycle. His bike tire is 27 inches in diameter. When he rolled the bike, the chalk left marks on the sidewalk. Which expression can be used to best determine the distance, in inches, the bike rolled form the first mark to the fourth mark? A.3(270) B. 4n(27) C.(27+3)t D. (27 + 4)m - A. The distance given from the top to the bottom of the tire through the center is the diameter. Finding the distance the bike traveled in one complete roll of the tire is the same as finding the circumference. Using the formula, C = 1d, we multiply 27 by t. From the first mark to the fourth, the tire rolls three times. Then, you would multiply by 3, and the equation would be 3(277). The table below shows the average amount of rainfall Houston receives during the summer and autumn months. Month Rainfall (inches) June 5.35 July 3.18 August 3.83 September 4.33 October 4.5 November 4.19 What percentage of rainfall received during this timeframe, is received during the month of October? A.13.5 B.15.1 B.16< 4p C.16>4p D. 16 < 4p - D. Since she spends at least $16, the relation of the number of packages of coffee to the minimum coast may be written as 4p > 16. Alternatively, the inequality may be written as 16 < 4p. Which of the following describes a proportional relationship? A. Johnathan opens a savings account, with an initial deposit of $150, and deposits $125 per month B. Bruce pays his employees $12 per hour worked, during the month of December, as well asa $250 bonus c. Alvin pays $28 per month for his phone service, plus $0.07 for each long-distance minute used D. Kevin drives 65 miles per hour - D. The number of miles Kevin drives per hour an be written as y = 65x, where x represents the number of hours and y represents the total number of miles driven. the y-intercept is 0, since there is not an amount added to, or subtracted from, this term. The graph of the line passes through the origin, or the point, (0,0). Veronica decided to celebrate her probation by purchasing a new car. The base price for the car was $40,210. She paid an additional $3,015 for a surround sound system and $5,218 for a maintenance package. What was the total price of Veronica's new car? A.$50,210 B. $48,443 C. $43,225 D. $40,210 - B. To determine the total cost of Veronica's new car, add all her expenditures. $40,210 + $3,015 + $5,218 = $48,443 Simplify the following expression: 13-3 2211 A.19/22 B.7/22 10/11 D.5/11- B. In order to subtract the terms, the fractions need to have a common. denominator: 13-3 2211 =13-3x2 22112 22 22 22 The number of vacuum cleaners sold by a company per month during Year 1 is listed below: 18, 42, 29, 40, 24, 17, 29, 44, 19, 33, 46, 39 Which of the following is true? A. the mean is less than the median B. the mode is greater than the median C. the mode is less than the mean, median, and range D. the mode is equal to the range - D. The number of vacuum cleaners sold per month has a mean of 31.7, a mode of 29, a median of 31, and a range of 29. Therefore, a true deduction states that the mode is equal to the range. Lauren must travel a distance of 1,480 miles to get to her destination. She plans to drive approximately the same number of miles per day for 5 days. Which of the following is a reasonable estimate of the umber of miles she will drive per day? A. 240 miles B. 260 miles C. 300 miles D. 340 miles - C. The number of miles Lauren must drive can be rounded to 1,500; 1,500 miles divided by 5 days equals 300 miles per day. Thus, a reasonable estimate for the number of miles driven per day is 300. Based on their prescribing habits, a set of doctors was divided into three groups: 1/3 of the doctors were placed in Group X because they always prescribed medication. 5/12 of the doctors were placed in Group Y because they never prescribed medication. 1/4 of the doctors were placed in Group Z because they sometimes prescribed medication. Order the groups from largest to smallest, according to the umber of doctor in each group. A. Group X, Group Y, Group Z B. Group Z, Group Y, Group X C. Group Z, Group X, Group Y D. Group Y, Group X, Group Z - D. Compare and order the rational numbers by finding a common denominator for all three fractions. The least common denominator for 3, 12, and 4 is 12. Now convert the fractions with different denominators into fractions with the same denominator. 1=4 During January, Dr. Lewis worked 20 shifts. During February, she worked three times as many shifts as she did during January. During March, she worked half the number of shifts she worked during February. Which equation below describes the number of shifts Dr. Lewis worked in March? A. shifts = 20 +3 + 1/2 B. shifts = (20)93)(1/2) C. shifts = (20)(3) + 1/2 D. shifts = 20 + (3)(1/2) - B. During January, Dr Lewis worked 20 shifts. Shifts for January = 20 During February, she worked three times as many shifts as she did during January. shifts for February = (20)(3) During March, she worked half the number of shifts she worked in February. shifts for March = (20)(3)(1/2) A book has width of 2.5 decimeters. What is the width of the book in centimeters? A. 0.25 centimeters B. 25 centimeters C. 250 centimeters D. 0.025 centimeters - B. One decimeter equals 10 centimeters, so the following proportion can be written: 1=x 0.12.5 (1)(2.5) = 0.1x 2.5 = 0.1x 2.5 = 0.1x 0.10.1 x=25 Thus, 2.5 decimeter is equal to 25 centimeters. Robert scores three new clients every eight months. After how many months has he secured 24 new clients? A. 64 B.58 C.52 D. 66 - A. The following proportion can be used to solve the problem: 3=24 8x Solving x gives: 3x = (24)(8) 3x= 192 3x= 192 33 x= 64 Simplify the following expression: 5x3 94 A. 5/12 B. 8/13 €.20/27 D. 47/36 - A. When multiplying fractions, multiply the terms straight across the fraction: 5x3=15 9436 Then, simplify the fraction. Since 15 and 36 are both multiplies of 3, divide each term by 3 to reach the final result: 15=5 3612 - Inanswer B, the fractions are added straight across without getting a common denominator. - In answer C, the fractions were cross multiplied. - In answer D, the fractions were added, instead of multiplied. What is the independent variable to the graph? A. Anesthesia B. Geriatrics C. Nrse specialities D. Number of nurses - C. The variables are the objects the graph measures. In this case, the graph measures the nurse specialties and the number of nurses for each speciality. The dependent variable changes with the independent variable. Here, the number of nurses depends on the particular nurse specialty. Therefore, the independent variable is nurse specialties. How many centimeters are in 7 meters? A.7m=7cm B.7m=70cm C.7m=700 cm