# 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 44869: In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost \$10,000 to produce and that 300 items will cost \$22,000 to produce. Find the equation that relates C and x. Click here to see answer by Nate(3500)

 Question 45067: Please help to show work. A business purchses a piece of equipment for \$25,000. After 5 years, the equipment will be worth only \$5,000. Write a linear equation that gives the value, V, of the equipment during the five years. Click here to see answer by Nate(3500)

 Question 44991: net pay is 200.00 how is your gross pay after fica tax deduction 7.65% Click here to see answer by checkley71(8403)

 Question 44992: net paid 200. how was the gross pay after deduction of 7.65* of fica i want to see the equation example x=200 x(7.65%)-x=200 Click here to see answer by checkley71(8403)

 Question 45628: I have to write several equations. One example of the equations I must write is: The saddle height on a bicycle should be 109% of the riders inside leg measurement L. Write an equation expressing the fact that the saddle height for Brenda is 36 in. Can someone assist me? Thanks in advance! Click here to see answer by Nate(3500)

 Question 45656: A 14% ETHANOL SOLUTION IS TO BE MIXED WITH A 45% ETHANOL SOLUTION TO PRODUCE A FINAL SOLUTION WHICH IS 30% ETHANOL.iF THE FINAL SOLUTION IS 100 GALLONS.FIND THE AMOUNT OF EACH SOLUTION NEEDED FOR DELISHA TO MIX. Click here to see answer by stanbon(57246)

 Question 45680: Hi, I am struggling with the whole alegbra concept so have two questions: 1. Eight washington stamps and two lincoln stamps cost \$2.80; three washingston stamps and four lincoln stamps cost \$2.35; Find the cost of each stamp and show the solution equations? 2. One number is 18 more than another, and the sum of the smaller number is twice the larger number is 45. What are the two numbers. If someone could help I would be very happy. Thank you. Click here to see answer by stanbon(57246)

 Question 45779: 1) the boney-diouf family has annual loan payments equaling 24% of their annual income.During the year,their loan payments total \$15,809.50,What is their annual income? 2) Ronald is looking in his math book.He notices that the sum of two consecutive pages is 375.Find the pages that he is referring. Click here to see answer by checkley71(8403)

 Question 46013: Could someone help me with this problem: "Using q for the variable, write an equation that describes the given situation. (Do not solve the equation.) The value of q quarters and q - 5 nickels is \$3.05. Could anyone help me write this equation. Thanks in advance! Click here to see answer by fractalier(2101)

 Question 46068: a telephone pole is to have a guy wire attached to its top and anchored to the ground at a point that is 34 feet less than the height of the pole. if the wire is to be 2 feet longer than the height of the pole, what is the height of the pole? Click here to see answer by venugopalramana(3286)

 Question 46067: find three consecutive odd integers such that the product of the first and third is 71 more than 10 times the second Click here to see answer by Nate(3500)

 Question 46184: 12. Find the axis of symmetry. y = x2 – x + 10 Click here to see answer by monica17(5)

 Question 46583: In a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive? Click here to see answer by josmiceli(9661)

 Question 46759: the amount of a radioactive tracer remaining after t days is given by A=Ao e^(-0.18t), where Ao Is the starting amount at the begining of the time period. How much should be acquired now to have 40 grams remaining after 3 days. 40=Ao e^(-0.18t) t=3 not sure what to do next. Click here to see answer by adamchapman(301)

 Question 46758: the amount of radioactive tracer remaining after t days is given by A=Aoe^(-0.058t), where Ao is the starting amount at the begining of the time period. How many days will it take for one half of the original amount to decay. Click here to see answer by adamchapman(301)

 Question 46783: A bike leaves @ 8:00 am traveling at 10 mph. A car leaves, heading in the same direction @ 11:00 am traveling at 50 mph. How many minutes after 11:00 will the car overpass the bike. The computer program gives the answer of 45 minutes, but I can't figure out how? Thanks! Click here to see answer by Nate(3500)
 Question 46783: A bike leaves @ 8:00 am traveling at 10 mph. A car leaves, heading in the same direction @ 11:00 am traveling at 50 mph. How many minutes after 11:00 will the car overpass the bike. The computer program gives the answer of 45 minutes, but I can't figure out how? Thanks! Click here to see answer by saltzy57(8)

 Question 47146: the sum of two numbers is 20. The difference of the two numbers is 8. What are the two numbers??? 16 and 4 Click here to see answer by Earlsdon(6287)
 Question 47146: the sum of two numbers is 20. The difference of the two numbers is 8. What are the two numbers??? 16 and 4 Click here to see answer by melanie125(2)

 Question 47820: a motorboat travels 60 kms upstream in 10 hrs if it returns in 8 hrs. . Find th rate of the current and the boat rates are constant during the trip. Click here to see answer by venugopalramana(3286)

 Question 47890: I have tried to solve this word prooblem on my own but seems to come up with the wrong answer, can you please help me solve it. 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 require 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 stanbon(57246)

 Question 48235: A rectangular garden is to be surreounded by a walkway of constant width. The garden's dimensions are 30ft by 40ft. The total area, graden plus walkway, is to be 1800 sq ft. What must be the width of the walkway to the nearest thousandth? I know that the garden area is 1200 sq ft and that the total area is 1800 sq ft, but how do I get the width of the walkway? The difference is 600 sq ft. Is there a specific formula I can use to get the answer? I am using Beginning Algebra 6th edition, Hutchinson, Bergman, Hoezle, Baratto. This specific question is not in the book, it's an additional exercise the instructor has given me. Thanks for any help you can provide. Click here to see answer by Paul(988)

 Question 48227: Find the speed of a motor boat in still water and the speed of a river current, if it takes 3 hrs. to travel a distance of 45m. upstream and 2 hrs. to travel 50 m. downstream. Click here to see answer by Paul(988)

 Question 48348: The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water? Click here to see answer by venugopalramana(3286)

 Question 48347: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle. Click here to see answer by venugopalramana(3286)
 Question 48347: Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle. Click here to see answer by AnlytcPhil(1276)

 Question 48512: After two minutes on a treadmill, Jenny has a heart rate of 80. After 3 minutes she has a heart rate of 86. Assuming that Jenny’s heart rate h is a linear function of the time t on the treadmill; write h as a linear function of t. What heart rate could be expected for Jenny after 10 minutes on the treadmill? Click here to see answer by stanbon(57246)
 Question 48512: After two minutes on a treadmill, Jenny has a heart rate of 80. After 3 minutes she has a heart rate of 86. Assuming that Jenny’s heart rate h is a linear function of the time t on the treadmill; write h as a linear function of t. What heart rate could be expected for Jenny after 10 minutes on the treadmill? Click here to see answer by tutorcecilia(2152)

 Question 48396: A small school has 100 students who occupy three classrooms: A, B, and C. After the first period of the school day, half the students in room A move to room B,one-fifth of the students in room B move to room C, and one-third of the students in room C move to room A. Nevertheless, the total number of students in each room is the same for both periods. How many students occupy each room? Thank you so much! It's hard moving 1/5th of a student.. Click here to see answer by cowess(34)

 Question 48594: The price of popcorn is a linear function of the volume of the container. A 1 liter container sells for one dollar. A 1.6 liter container sells for \$1.36. Write the price P as a linear function of V. What should the price be for a 2 liter container? Click here to see answer by stanbon(57246)

 Question 48610: Find two positive real numbers that differ by 1 and have a product of 1. Click here to see answer by stanbon(57246)

 Question 48612: Time of flight. For 1989 and 1990 Dave Johnson had the highest decathlon score in the world. When Johnson reached a speed of 32ft/sec on the pole vault runway, his height above the ground t seconds after leaving the ground was given by h= -16t^2 +32t. The elasticity of the pole converts the horizontal speed into vertical speed) Determine how long Johnson was in the air . For how long was he more than 14 ft in the air? Click here to see answer by stanbon(57246)

 Question 48712: The length of a rectangle is 1cm longer than its width. if the diagonal of the rectangle is 5cm, what are the dimensions(the length and width) of the rectangle? Click here to see answer by stanbon(57246)

 Question 49093: if sally can paint a house in 4 hours, and john can paint the same house in 6 hours how long will it take both of them to paint the same house together Click here to see answer by AnlytcPhil(1276)

 Question 49262: How do I find the length of each side of a rectangle if the Area = 504 in2 and one side is 14(height) and the other is 10x-24(length) Click here to see answer by Earlsdon(6287)

 Question 49261: For 1980 through 1994, the population, P (in 1000's), of Hawaii can be modeled by P = 15.5(t+62), where t=0 represents 1980. a)What was the population in 1993? b)What wa the population increase from 1980 to 1993? I don't understand this one at all!!!!!!!!!!!! Click here to see answer by longjonsilver(2297)

 Question 49292: When a ball is thrown, its height in feet h after t seconds is given by the equation h=vt-16t^2 , where v is the initial upwards velocity in feet per second. If v=34 feet per second, find all values of t for which h=16 feet. Do not round any intermediate steps. Round your answer to 2 decimal places. Click here to see answer by venugopalramana(3286)

 Question 49297: The charge C for renting an air hammer from Taylor and Son Equipment Rental is a linear function of the number n of days in the rental period. The charge is \$103 for two days and \$232 for five days. Write C as a linear function of n. What would the charge be for four days rental? Click here to see answer by venugopalramana(3286)

 Question 49293: Petrolyn oil is a combination of natural oil and synthetic oil-- 5 parts natural oil for every 7 parts of synthetic oil. How many liters of Petrolyn oil can be made from 560 liters of synthetic oil? Click here to see answer by Nate(3500)

 Question 49355: A coffee merchant has coffee beans that sell for \$9.00 per pound and \$12.00 per pound. The two types are to mixed to create 100lb of a mixture that sells for \$11.25 per pound . How much of each type of bean should be used in the mixture? Please help solve Click here to see answer by Nate(3500)

 Question 49354: Jill has \$3.50 in nickles and dimes. If she has 50 coins, how many of each type of coin does she have? Click here to see answer by Nate(3500)

 Question 49356: solve each of the following systems by substitution 5x - 2y = -5 y - 5x = 3 Click here to see answer by checkley71(8403)

 Question 49566: After the price of petroleum oil went up by 10%, a consumer reduced his oil consumption by the same percent. By what percent would his petroleum bill be changed? Click here to see answer by Juhi(44)

 Question 49565: I hope you can help me with this. If Jun is 10% taller than Peter and Peter is 10% taller than Mary, then Jun is taller than Mary by how many percent? Thank you very much! Click here to see answer by Juhi(44)

 Question 49592: Im not sure if the correct catergory this is under is selected but I will try my best to ask my question. In my txt book it reads a s follows: Write an equation in point-slope form for the line through the given point with the given slope. Problem #11: (4,2); m = -5/3 ***( the whole fraction is negative not just the 5) **I am not sure at all how to do this and i was seeking your help. if you could, i would greatly appreciate if u could kind of expalin to me how to do this. thanks you are appreciated. Click here to see answer by checkley71(8403)

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