# Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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## Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)

 Question 49833: According to the National Institute of Health, body mass on height and weight that applies to adult men and women. Values between18.5 and 24.9 are considered healthy. BMI is calculated by BMI = 705w/h^2 where w is the weight of the person in pounds and h is the person's height in inches. Find the BMI for a person who weighs 160 pounds and is 5 feet 10 inches tall. Round to the nearest tenth. Click here to see answer by mathchemprofessor(65)

 Question 49809: 23lessthanx Click here to see answer by alka(15)

 Question 49838: 1.give the equation of a line with the same slope as the equation 3x+4y=8. 2.give the equation of a line whose graph intersects the graph of 2x+y=4. 3.give the equation of a line whose graph coincides with the graph of 3x+y=2. 4.give the equation of a line whose graph is parellel to the graph of 5x+y=4. 5.give the equation of a line which has common solution with the equation 3x-y=3. Click here to see answer by venugopalramana(3286)

 Question 49847: Use the distributive property to remove the parentheses in the following expression. Then simplify your result if possible. 10(8 + 4) Click here to see answer by AnlytcPhil(1276)

 Question 49844: Angus invested \$18,000, part at 3% and part at 5%. If the total interest at the end of the year is \$660, how much did he invest at each rate? Click here to see answer by tutorcecilia(2152)

 Question 49882: In May of 2002, the U.S. national debt was approximately 5.97 * 10^12 dollars. At that time, the population of the U.S. was 2.87 * 10^8. In May of 2002, what was the average U.S. debt per person? Click here to see answer by stanbon(57246)

 Question 49912: I believe this is supposed to be solved by using the quadratic equation, but I'm not sure how to work it. Any help would be very much appreciated!! If a pebble is dropped toward a pond from the top of a 240-ft building, its height h after t s is given by h = 16t^2 + 240. How long does it take the pebble to pass through a height of 120 ft? Click here to see answer by AnlytcPhil(1276)

 Question 49963: A manufacturer has determined that the revenue from selling x inkjet printers is given by Revenue = -o.1x^2 + 130x and the cost to produce x inkjet printers is given by Cost = 40x + 8000. Express the company's profit in terms of x. Use this expression to find the profit from selling 400 inkjet printers. Click here to see answer by stanbon(57246)

 Question 49964: A manufacturer of flatscreen computer monitors has determined that the change in the average cost per monitor to produced one additional monitor is given by (250 + 20/n) - (250 + 20/n + 1)/n Where n is the number of monitors already produced. Simplify the complex fraction. Click here to see answer by stanbon(57246)

 Question 49966: The length of a rectangle is 6 in. more than twice its width. If the perimeter of the rectangle is 30 in., find the width of the rectangle Click here to see answer by Earlsdon(6287)

 Question 49968: The amount A (in milligrams) of Digoxin, a drug taken by cardiac patients, remaining in the blood t hours after a patient takes a 2-milligram dose is given by A = 2(10-^0.0078t). a. How much Digoxin remains in the blood of a patient 4 hours after taking a 2-milligram dose? b. Suppose a patient takes a 2-milligram dose of Digoxin at 1:00 P.M. and another 2- milligram dose at 5:00 P.M. How much Digoxin remains in the patient's blood at 6:00 P.M.? Click here to see answer by Earlsdon(6287)

 Question 50005: In addition to finding unions and intersections of intervals, it is possible to apply other operations to intervals. For instance, (-1,2)^2 is the interval that results from squareing every number in the interval (-1,2). This gives [1,4). Thus (-1,2)^2 = [1,4). a. Find (-4,2)^2 b. Find 1/[-2,3], the reciprocal of every number in [-2,3]. c. Find ABS(-4,5), the absolute value of every number in (-4,5) Click here to see answer by AnlytcPhil(1276)

 Question 50100: I have the following problem and would appreciate some help getting started with it please. It is: The daily profit for a white goods company from the sale of bar fridges is given by P(x)= -x^2+40x+825. x is the number of bar fridges sold. find the function's vertex and intercepts. I am assuming that a= -1, b=40 and c=825. Click here to see answer by stanbon(57246)

 Question 50105: You plan to save 1 cent the first day of the month, 2 cents the second day, 4 cents the third day, and to continue this pattern of saving on the preceding day for every day in a month that has 30 days. a. How much money, in dollars, willyou need to save on the 30th day? b. How much money, in dollars, will you have saved after 30 days? (Suggestion: Note that after 2 days, you have saved 2^2 - 1 = 3 cents; after 3 days, you have saved 2^3 - 1 = 7 cents; and after 4 days, you have saved 2^4 - 1 = 15 cents.) Click here to see answer by venugopalramana(3286)

 Question 50119: Two cars are leaving Phils house at precisely at 6:20pm. The first car driven by Phil is headed nother. The second car, driven by Roman, is headed south Phil, because he is nat a good citizen is going 20 MPH faster than Roman. If at 7:50 they are exactly 168 miles apart, how fast is each going? Please help me. Not sure of the equation Thank you! Click here to see answer by stanbon(57246)
 Question 50119: Two cars are leaving Phils house at precisely at 6:20pm. The first car driven by Phil is headed nother. The second car, driven by Roman, is headed south Phil, because he is nat a good citizen is going 20 MPH faster than Roman. If at 7:50 they are exactly 168 miles apart, how fast is each going? Please help me. Not sure of the equation Thank you! Click here to see answer by lkwtcnj(8)

 Question 50336: 7+2/3X=-1 Click here to see answer by tutorcecilia(2152)

 Question 37669: Six apples and three oranges cost \$1.77. Two apples and five oranges cost \$1.27. Find the cost of each apple and the cost of an orange. Click here to see answer by jackytavares(5)

 Question 50513: Hi, the following question I dont know where to start with: it is the daily profit for whitegoods store from sale of bar fridges is given by P(x)= -x^2+40x+825 where x is number of bar fridges sold. Find the function's vertex and intercepts. Thanks very much if you could please help me with this one! Click here to see answer by Nate(3500)
 Question 50513: Hi, the following question I dont know where to start with: it is the daily profit for whitegoods store from sale of bar fridges is given by P(x)= -x^2+40x+825 where x is number of bar fridges sold. Find the function's vertex and intercepts. Thanks very much if you could please help me with this one! Click here to see answer by stanbon(57246)

 Question 50419: A bus went 318km farther than a car. The car went one third as far as the bus. How far did each vehicle travel? Choices for the car's distance: 147, 151, 159 Click here to see answer by seawind(8)

 Question 50534: It costs a restaurant owner 18 cents per glass for orange juice, which is sold for 75 cents per glass. How many glasses of orange must the restaurant owner sell to make a profit of \$2337? Click here to see answer by Nate(3500)

 Question 50533: It costs a restaurant owner 18 cents per glass for orange juice, which is sold for 75 cents per glass. How many glasses of orange must the restaurant owner sell to make a profit of \$2337? Click here to see answer by Nate(3500)

 Question 50532: it costs a restaurant owner 18 cents per glass for orange juice, which is sold for 75 cents per glass. How many glasses of orange must the restaurant owner sell to make a profit of \$2337? Click here to see answer by Nate(3500)

 Question 50535: A company has determined that the profit, in dollars, it can expect from the manufacture and sale of x tennis racquets is given by P = -0.01x^2 + 168x - 120,000 How many racquets should the company manufacture and sell to earn a profit of \$518,000? Click here to see answer by rapaljer(4667)

 Question 50537: The crowd watching a high school baseball game currently included 60 women. Soon 100 more women arrive, which doubles the percentage of women in the crowd. How large was the crowd before the 100 women arrived? Click here to see answer by checkley71(8403)

 Question 50619: In a psychology experiment, students were given a nine-digit number to memorize. The percent P of students who remembered the number t minutes after it was read to them can be given by P = 90 - 3t^2/3. What percent of the students remembered the number after 1 hour? Click here to see answer by stanbon(57246)

 Question 50616: One of the world's deepest water wells is 7320 feet deep. Find the time between the instant you drop a stone and the time you hear it hit the water if the surface of the water is 7100 feet below the opening of the well. Round your answer to the nearest tenth of a second. Click here to see answer by venugopalramana(3286)

 Question 50719: A cylindrical soft drink can is to be constructed such that it will have a volume of 355 milliliters. a. Write an equation for the height h of the can in terms of its radius r. b Write an equation for the surface area Aof the can in terms of its radius r. c. An engineer has determined that a radius of 3.84 centimeters minimizes the surface area of the can (and thus minimizes the cost of the can), but the managers of the company have decided to construct the can using a radius of 3.1 centimeters. Explain some of these reasons the managers might give to justify their decision. Click here to see answer by venugopalramana(3286)

 Question 50608: The sum of three consecutive even integers is between 36 and 54. Find all sets of intergers that satisfy this condition. Click here to see answer by venugopalramana(3286)

 Question 51071: The salary, in thousands of dollars, of a physician specializing in internal medicine is givin by Salary = -0.15x^2 + 6.3x + 70, where x is the number of years practicing medicine. Using this model, how much will the physician earn after practing for 10 years? Click here to see answer by mathchemprofessor(65)

 Question 51074: The height, in feet, of a rock,above the Colorado River that is thrown from the north rim of the Grand Canyon is given by Height = 5700 - 16t^2, where t is the number of seconds after the rock above the river 5 seconds after it is released. Click here to see answer by Earlsdon(6287)

 Question 51072: The height h, in feet, of a baseball above the ground t seconds after it is hit is given by h = -16^2 + 52t + 4.5. Use this equation to determine the number of seconds, to the nearest 0.1 second, from the time the ball is hit until the ball hits the ground. Click here to see answer by venugopalramana(3286)

 Question 51235: I needed help with setting up the eqations for this problem: 27. A bread maker costs \$199. The ingredients and electricity to make one loaf of bread with the machine cost \$.79. A loaf of bread of similar quality costs \$1.59 at a grocery store. a.)write two equations giving the total cost "C" in terms of the number of loavs "l" made or purchased for each situation. b.) Solve the system of equations to find the number of loaves of bread you have to make before the breadmakerpays for itself. Click here to see answer by rapaljer(4667)

 Question 51307: "Evaluate, when Thank you. Click here to see answer by mathchemprofessor(65)

 Question 51303: "Which fraction represents the decimal 0.0505?" Thank you. Click here to see answer by mathchemprofessor(65)

 Question 51297: "What is the height of a building with 6 floors given by the formula h= 20.6 + 3.5n" Thank you. Click here to see answer by mathchemprofessor(65)

 Question 51302: "To which form can a rotional number always be changed?" Thank you. Click here to see answer by rapaljer(4667)

 Question 51329: Michael rented a truck for one day. There was a rental fee of \$20.99, and there also was a charge of 25 cents for each mile. Michael paid \$95.74 when he returned the truck. For how many miles did he drive the truck? Click here to see answer by rapaljer(4667)
 Question 51329: Michael rented a truck for one day. There was a rental fee of \$20.99, and there also was a charge of 25 cents for each mile. Michael paid \$95.74 when he returned the truck. For how many miles did he drive the truck? Click here to see answer by Earlsdon(6287)

 Question 51381: Would you please help me with this, I have looed at the other questions and do not see this one. Thank you so much. Solve each of the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent. 2x + 3y = 1 5x + 3y = 16 Click here to see answer by stanbon(57246)

 Question 51377: Petrolyn oil is a combination of natural oil and synthetic oil-- 3parts natural oil for every 5 parts of synthetic oil. How many liters of Petrolyn oil can be made from 400 liters of synthetic oil? Click here to see answer by stanbon(57246)

 Question 51333: For his long distance phone calls, John pays \$5 a monthly fee plus 25 cents per minute. Last month, John's long distance bill was \$12.02. For how many minutes was John billed? Click here to see answer by checkley71(8403)
 Question 51333: For his long distance phone calls, John pays \$5 a monthly fee plus 25 cents per minute. Last month, John's long distance bill was \$12.02. For how many minutes was John billed? Click here to see answer by stanbon(57246)

 Question 51388: I am no good with word problems, please help! A small firm produces both AM and AM/FM car radios. The AM radios take 15 h to produce, and the AM/FM radios take 20 h. The number of production hours is limited to 300 h per week. The plant's capacity is limited to a total of 18 radios per week, and exisitng orders require that at least 4 AM radios and at least 3 AM/FM radios be produced per week. Write a system of inequalities representing this situation. Then draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios. Click here to see answer by AnlytcPhil(1276)

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