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

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 Linear Solvers Practice Answers archive Word Problems Lessons In depth

 Question 58895: When Humans breathe, carbon dioxide is emitted. In a study published by in ASHRAE Trans, the emission rates of carbon dioxide by college students were measured during the lectures and exams. The average individual rate RL (in grams per hour) during a lecture class satisified the inequality: [RL-26.75]<2.17 During an exam, the rate satisfied [Re-38.75]<2.17 a. find the range of values for Re and RL. b. The class had 35 students. Define TL and Te to represent the total amounts of carbond dioxide in grams emitted during a one hour lecture and a mone hour exam. Write inequalities involving absolute value which represent the ranges for Tl and Te. Click here to see answer by stanbon(57979)

 Question 58990: I have looked at the word problems and I could not find help. I need someone to show me how to graph and create an equation or inequity from this situation for a prediction. This is the example I used The U.S.population has increased since 1970 from 223 million to 456 million.I need to show how this will show an increase over the years. To graph this would I need a straight line with an upward slope Please help me solve this situation and make me a graph. Click here to see answer by stanbon(57979)

 Question 59105: Saving for Dream Vacation. Kimberly makes \$8,000 more a year than her husband. Kimberly saves 10% of her salary for vacation, her husband saves 8%. Together the saved \$5,660 per year. How much does Kimberly and her husband make? Click here to see answer by asha(30)

 Question 59684: The Colombia earthquake of 1906 had an intensity of I = 398,107,000. What did it measure on the Richter scale? Click here to see answer by chitra(359)

 Question 59882: In 2000 an archeologist discovered a sandal made from yucca fiber that she believed was from A.D. 700. Estimate the percentage of the yucca fiber's original carbon-14 that remained when the sandal was found. Round to the nearest tenth of a percent. Click here to see answer by stanbon(57979)

 Question 60178: The population P of India can be modeled by the equation P(t) = 368(1.02)^t, where t is the number of years since 1950 and P is given in millions. a. Use the function to estimate the population of India in the year 2010. Round to the nearest milion. b. Use the function to determine the year during which the population of India will reach 2 billion. Click here to see answer by chitra(359)

 Question 60356: the state market has 27 more apples than oranges. there are 301 apples and oranges altogether. how many apples are in the market? equation form Click here to see answer by brandonpark2889(31)

 Question 60783: Please help. This is for G.E.D. Evaluative Test, Mathematics part 1. I am terrible with word problems. Ben scored 7 more points than Jack in a basketball game. Paul scored 2 points less than Jack in the same game. If the three boys scored a total of 38 points, how many points did Jack score? Click here to see answer by ankor@dixie-net.com(15746)
 Question 60783: Please help. This is for G.E.D. Evaluative Test, Mathematics part 1. I am terrible with word problems. Ben scored 7 more points than Jack in a basketball game. Paul scored 2 points less than Jack in the same game. If the three boys scored a total of 38 points, how many points did Jack score? Click here to see answer by mszlmb(115)

 Question 60701: My question is: J is weighing his options between 2 jobs. Job 1 pays an hourly wage of \$7. Job 2 pays \$5 an hour plus a flat rate of \$20 per week. *Write the linear function for each job. *Graph each function (let x represent the hours worked). *At which point (time in hours) will his wage be the same (what is the amount)? *If J's goal is to earn \$100 per week, what is the minimum number of hours he must work at each job? Please help me because I am confused on how to specifically graph each linear function!!! Thanks! Click here to see answer by ankor@dixie-net.com(15746)

 Question 60884: A survey crew took a trip up the river and back in 10 h. Going upstream they paddled at 4 km/h, but downstream they travelled at 12 km/h. How far upstream did the crew go? Click here to see answer by uma(370)

 Question 60915: The cost of producing a number of items x is given by C = mx + b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item). (a) If the fixed cost is \$40 and the variable cost is \$10, write the cost equation. (b) Graph the cost equation. (c) The revenue generated from the sale of x items is given by R = 50x. Graph the revenue equation on the same set of axes as the cost equation. (d) How many items must be produced for the revenue to equal the cost (the break-even point)? Click here to see answer by funmath(2925)

 Question 61205: Please reply ASAP!!!!Help me!!!! Bob is traveling home at a constant speed. After one-half hour, he is 77.5 miles from home and after one hour, he is 55 miles from home. Write a linear equation that gives the distance from home,y (in miles), in terms of the time x (in hours). How long will it take Bob to get home? Please answer this question AS SOON AS POSSIBLE!!!I'm REALLY CONFUSED AND FRUSTRATED WITH MY ALGEBRA HOMEWORK!!!!!! Click here to see answer by ankor@dixie-net.com(15746)
 Question 61205: Please reply ASAP!!!!Help me!!!! Bob is traveling home at a constant speed. After one-half hour, he is 77.5 miles from home and after one hour, he is 55 miles from home. Write a linear equation that gives the distance from home,y (in miles), in terms of the time x (in hours). How long will it take Bob to get home? Please answer this question AS SOON AS POSSIBLE!!!I'm REALLY CONFUSED AND FRUSTRATED WITH MY ALGEBRA HOMEWORK!!!!!! Click here to see answer by josmiceli(9817)

 Question 61431: You purchase a prepaid telephone card. The card costs \$12.00. Each minute you use costs \$0.30. a)Determine the slope of the line that models these points. b)Find the equation of the line for this graph. Click here to see answer by funmath(2925)

 Question 61460: Please help solve this problem: A group of 42 people go to an amusement park. The admission fee for adults is \$16. The admission fee for children is \$12. The group spent \$568 to get into the park. How many adults and how many children were in the group? Write and solve a system of linear equations. Click here to see answer by joyofmath(189)
 Question 61460: Please help solve this problem: A group of 42 people go to an amusement park. The admission fee for adults is \$16. The admission fee for children is \$12. The group spent \$568 to get into the park. How many adults and how many children were in the group? Write and solve a system of linear equations. Click here to see answer by checkley71(8403)

 Question 61824: A farmer went to the market and bought 100 animals. Each chicken cost .10 cents, pigs cost \$2.00 and sheep cost \$5.00. The farmer spent \$100. How many of each animal did the farmer buy? Click here to see answer by ankor@dixie-net.com(15746)

 Question 61783: Can someone help me out with this problem: Sociology 410 has 55 more males than females. 2/3 of the males and 2/3 of the females are graduating seniors. If there are 30 more graduating senior males than graduating senior females, then how many males and females are in the class? Thanks a bunch. Click here to see answer by venugopalramana(3286)

 Question 61956: Linear programming: the graphical method determine the coordinates of the corner points for the following system of inequalities: 2x-5y<0 9x-14y<17 1x+3y<28 Click here to see answer by stanbon(57979)

 Question 61957: Linear programming (maximization) A company produced 2 products, widjets and wadjets. To produce 1 widjet requires 2 hours on machine A and 2 hours on machine b. A wadjet requires 2 hours on machine A and 2 hours machine B. " machine A can operate up to 25 hrs per day and machine b can operate up to 37 hours per day. A widjets produces a profit of 7 dollars and a wadjet produces a profit of 6 dollars. how many wadjets should be produced each day for maximum profit? what is the maximum profit? A) Write and explain each constraint and explain each variable used in the problem. B)solve the linear program problem using any method. round final answer down to the next smallest integer if necessary Click here to see answer by specialityservices15(1)

 Question 62112: Explain how to determine whether (a) two matrices can be: added or substracted and (b) two matrices can be multiplied together. (c) Consider the matrices C and D listed below. Matrix c shows the number of healthy vegetables an average plant will produce in different climate zones. Matrix D shows the average number of seeds produced by a vegetable of each type. Clearly explain how the two matrices can be multiplied together to obtain a product which is meaningful. Describe the meaning of the product. (You do not need to find the product of the matrices.) Zone 3 - Zone 4 - Zone 5 Tomato 145 - 175 - 211 C = Cucumber 12 - 16 - 28 Green Pepper 8 - 14 - 24 Tomato - Cucumber - Green Pepper D = Average Number 64 - 75 - 49 Seeds per vegetable Click here to see answer by stanbon(57979)

 Question 62117: You and two friends bought annual flowers, perennial flowers and tree seedlings at a local nursery. You have lost your receipts and only have your credit card bills with the total of each order. You bought 10 annuals and 4 perennials. Your total cost was \$21. Alex bought 24 annuals and 3 perennials for a total for a total of \$24. Petra bought 16 annuals, 2 perennials, and 3 seedlings for \$25. How much did each item cost? a. Set up a system of equations to solve for the prices of the items above. Define your variables as a, p, and s for the prices of annuals,perennials, and tree seedlings, respectively. b. Convert your system to a matrix equation and solve the system using inverse matrices. c.Solve the system by using Cramer's Method. d. Solve the system of linear equations using linear combinations. Click here to see answer by stanbon(57979)

 Question 62119: Solve using elimination: 3x - 6y = 9 4x - 8y = 4 Click here to see answer by funmath(2925)

 Question 62109: Solve using elimination: 5x + 3y = 28 2x + 4Y = - 4 Click here to see answer by ankor@dixie-net.com(15746)

 Question 62307: The average age of the Johnsons' cars is 8 years. Three years ago the Toyota was twice as old as the Ford. Two years ago the sum of the Buick's and the Ford's ages was equal to the age of the Toyota. How old is each car now? Where do I start? Any help is appreciated. Click here to see answer by uma(370)
 Question 62307: The average age of the Johnsons' cars is 8 years. Three years ago the Toyota was twice as old as the Ford. Two years ago the sum of the Buick's and the Ford's ages was equal to the age of the Toyota. How old is each car now? Where do I start? Any help is appreciated. Click here to see answer by ankor@dixie-net.com(15746)

 Question 62429: need a system of equations for this prob: an airplane flew 4 hours against a wind of 40 km/h. on return he was flowing with the wind and flight was 3 hours. whats speed of airplane in still air. Click here to see answer by funmath(2925)

 Question 62618: Let A = [-2 9 ] and B = [4 1]. [ 4 5 ] [-2 6] a. Find 2A - B. b. Find BA. Click here to see answer by venugopalramana(3286)

 Question 62616: Find an equation of the form y = ax^2 + bx + c whose graph passes through the points (1,-2) (2,-1), and (3,4). Click here to see answer by venugopalramana(3286)
 Question 62616: Find an equation of the form y = ax^2 + bx + c whose graph passes through the points (1,-2) (2,-1), and (3,4). Click here to see answer by josmiceli(9817)

 Question 62970: EXPRESS THE FOLLOWING STATEMENT AS A FORMULA WITH THE VALUE OF THE CONSTANT OF PROPORTIONALITY DETERMINED WITH THE GIVEN CONDITIONS: w VARIES DIRECTLY AS x AND INVERSELY AS THE SQUARE OF y. IF x=15 AND y=5, THEN w=36. Click here to see answer by uma(370)

 Question 62972: a wire of length 20 m and diameter 0.6 cmTHE ELECTRICAL RESISTANCE r OF A WIRE VARIES DIRECTLY AS ITS LENGTH l AND INVERSELY AS THE SQUARE OF ITS DIAMETER. A WIRE 20 METERS LONG AND 0.6 CENTIMETERS IN DIAMETER MADE FROM A CERTAIN ALLOY HAS A RESISTANCE OF 36 OHMS. WHAT IS THE RESISTANCE OF A PIECE OF WIRE 60 METERS LONG AND 1.2 CENTIMETERS IN DIAMETER MADE FROM THE SAME MATERIAL? Click here to see answer by uma(370)

 Question 62973: THE PEROD OF A SIMPLE PENDULUM IS DIRECTLY PROPORTIONAL TO THE SQUARE ROOT OF ITS LENGTH. IF A PENDULUM HAS A LENGTH OF 6 FEET AND A PERIOD OF 2 SECONDS, TO WHAT LENGTH SHOULD IT BE SHORTENED TO ACHIEVE A 1 SECOND PERIOD? Click here to see answer by uma(370)

 Question 62975: GIVEN THAT (3x-a)(x-2)(x-7)=3x3-32x2+81x-70, DETERMINE THE VALUE OF a. Click here to see answer by uma(370)

 Question 62976: FIND THE POLYNOMIAL f(x) OF DEGREE THREE THAT HAS ZEROES AT 1,2, AND 4 SUCH THAT f(0)=-16. Click here to see answer by uma(370)
 Question 62976: FIND THE POLYNOMIAL f(x) OF DEGREE THREE THAT HAS ZEROES AT 1,2, AND 4 SUCH THAT f(0)=-16. Click here to see answer by Nate(3500)

 Question 62974: A small company produces both doll houses and sets of doll furniture. The doll houses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity is 100 items per week. Existing orders requare that at least 20 doll houses and 10 sets of furniture be produced per week. Write a system of inequalities representing this situation, where x is the number of doll houses and y is the number of furniture sets. Then graph the system of inequalities. Click here to see answer by Edwin McCravy(8999)