# 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 90471: Please help me figure the following problem out. Thank you A software company that sells a word processing program for personal computers. They have found that their montly profit in dollars, P, from selling x copies of the program is approximated by P(x)= -0.6x^2+2160x-10800 Find the number of copies of the program that should be sold in order to maximize the profits? Click here to see answer by scott8148(6628)

 Question 90578: I posted this question with two more. I apologize for the confusion. I wasn't paying close attention to directions! Thanks so much!!!! 1.) A bicyclist rode into the country for 5h. In returning, her speed was 5 mi/h faster and the trip took 4h. What was her speed each way? Click here to see answer by Earlsdon(6287)

 Question 90992: When both copying machines A and B are working, 100 copies can be made in one minute. In one minute, copiers A and C can make 140 copies. If all three copy machines are working, 180 copies can be made in one minute. How many copies per minute can each copier make? Click here to see answer by stanbon(57361)

 Question 90989: A mississippi riverboat can travel 30km downstream in 3 hours and make the return trip in 5 hours. Find the speed of the boat in still water. Click here to see answer by stanbon(57361)

 Question 91018: 2720 people attended the first home football game of the season. Student tickets were \$3 and non-student tickets were \$5. The total revenue for tickets was \$11,390. How many students attended the game? Click here to see answer by checkley75(3666)

 Question 91038: A parent rewards a child with 50 cents for each correctly solved mathematics problem and fines the child 30 cents for each incorrectly solved problem. If the child nets \$22.00 after 100 problems, how many problems were solved correctly? a. 30 b. 35 c. 45 d. 53 e. Click here to see answer by checkley75(3666)

 Question 91158: Mr. Newman needs some repair work done on his truck. He gets two estimates for the repairs. Itza-Reck Autos charges \$162 for parts and \$32 per hour for labor. Cars-R-Us will charge \$144 for parts and \$35 per hour for labor. Which is the better deal? Click here to see answer by checkley71(8403)

 Question 91165: Using this equation: state tax =.06(300,000- federal tax) and federal tax=.40(300,000-state tax) how on earth is this solved? Click here to see answer by stanbon(57361)

 Question 91171: A bookstore manager plans to spend \$60.00 on pens at 30 cents each and pencils at 10 cents each. The equation 0.10x + 0.30y = 60 can be used to model this situation. a.) What do x and y represent? b.) Graph th equation. c.) Write the equation in slope-intercept form. d.) What is the slope of the line? e.) What does the slope tell you? Click here to see answer by jayanthihemkos@yahoo.com(87)
 Question 91171: A bookstore manager plans to spend \$60.00 on pens at 30 cents each and pencils at 10 cents each. The equation 0.10x + 0.30y = 60 can be used to model this situation. a.) What do x and y represent? b.) Graph th equation. c.) Write the equation in slope-intercept form. d.) What is the slope of the line? e.) What does the slope tell you? Click here to see answer by stanbon(57361)

 Question 91167: The percentage of women in the 20-24 age group who have never married went from 55% in the 1970 to 73% in 2000 (Census Bureau, www.census.gov) Let 1970 be year 0 and 200 be year 30. a.) Find the interpret the slope of the line through the points (0,55) and (30,73). b.) Find the equation of the line in part (a). c.) What is the meaning of the y-intercept? d.) Use the equation to predict the percentage in 2010. e.) If this trend continues, then in what year will the percentages of women in the 20-24 age group who have never married reach 100%? Click here to see answer by stanbon(57361)

 Question 90093: Please help! A car rental company has two rental rates. Rate 1 is \$72 per day plus \$0.18 per mile. Rate 2 is \$144 per day plus \$0.09 per mile. If a car is rented for one day, how many miles would you need to drive to pay less by taking Rate 2? Click here to see answer by vertciel(183)

 Question 91061: Lauren wants to mix 5 liters of 7% milk with skim-milk (0% fat) to profud a mixture of 2 46/47% milk. How much skim-milk should Lauren add? Click here to see answer by ankor@dixie-net.com(15653)

 Question 91307: Hello. I'm having problems with maximums in linear programming. What is the maximum value of z=3x+y for the region given by the system: x>= 0 y>= 0 1/2x+y<=11 3x+2y<= 30 I'm sure you have to plot a graph and find the feasible region. I just can't remember how to plot the graph correctly. Thanks so much. Click here to see answer by stanbon(57361)

 Question 91311: The basal energy requirement B is the number of calories that a person needs to maintain the life process. For a 28 year old female with a height of 160 centimenters and a weight of 45 kilograms (kg), B is 1300 calories. If her weight increases to 50 kg, then B is 1365 calories. There is a linear equation that expresses B in terms of her weight w. Find the equation and find the basal energy requirement if her weight is 53.2 kg. Click here to see answer by stanbon(57361)

 Question 91570: solve the following systems by using either addition or subtraction. if a unique solution does not exist, state whether the system is dependent or inconsistent. 10x+2y=7 y=-5x+3 Click here to see answer by uma(370)

 Question 91567: solve each of the following systems by substitution: 5x-2y=-5 y-5x=3 Click here to see answer by uma(370)

 Question 91569: solve each of the following systems by substitution: 4x-12y=5 -x+3y=-1 Click here to see answer by Earlsdon(6287)

 Question 91568: solve each of the following systems by substitution: 8x-4y=16 y=2x-4 Click here to see answer by Earlsdon(6287)

 Question 91595: Tickets for a ballet performance cost \$14 for adults and \$12 for students. If total receipts from the sale of 605 tickets were #8,390.00, how many adult tickets were sold? THANK YOU SO MUCH Click here to see answer by scott8148(6628)

 Question 91663: A mother is 30 years older than her daughter. Five years ago she was four times as old as her daughter. How old are they now? Click here to see answer by Earlsdon(6287)

 Question 91662: A mother is 30 years older than her daughter. Five years ago she was four times as old as her daughter. How old are they now? Click here to see answer by ankor@dixie-net.com(15653)

 Question 91624: a small firm produces am and am/fm car radios. am radios take 15 hours to produce and am/fm radios take 20 hours to produce. the number of production hours is limited to 300 hours per week. the plants capacity is limited to 18 radios per week and existing orders require that at least 4 am radios and at least 3 am/fm radios be produced each week. write a system on inequalities representing this situation. then draw a graph of the feasible given the conditions, in which X is the number of am radios and Y is the number of am/fm radios. thank you once again for your help Click here to see answer by ankor@dixie-net.com(15653)

 Question 91730: solve each of the following systems by using either addition or substitution. if a unique solution does not exist, state whether the system is dependent or inconsistent: 10x+2y=7 and y=-5x+3 thank you for your help Click here to see answer by tutorcecilia(2152)

 Question 91697: Given that 3x - 5y = 22 and 4x - 3y = 33, find grafically the value of 2x + y. Click here to see answer by Edwin McCravy(8909)

 Question 91081: I got this wrong on a test and there wasn't time in class for the instructor to go over it...Could you show me the equations and solution...I'm sure I just made a stupid mistake: A pension fund plans to invest up to \$50,000 in US Treasury bonds yielding 12% interest per year and corporate bonds yielding 15% interest per year. The fund manager is told to invest a minimum of \$25,000 in the Treasury bonds and a minimum of \$10,000 in the corporate bonds with no more than 1/4 of the total investment to be in corporate bonds. How much should the manger invest in each type of bond to achieve a maximum amount of annual interest? What is the maximum interest? Click here to see answer by bucky(2189)

 Question 91062: How much water should be added to one liter of pure alcohol to make a mixture of 50% alcohol? Click here to see answer by mathispowerful(115)

 Question 91885: A bus leaves a station at 1pm traveling west at an average speed of 44 mi/h. One hour later another bus leaves the same station traveling east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart? Click here to see answer by ankor@dixie-net.com(15653)

 Question 92091: Can someone please help me solve this word problem. In planning for a new item, a manufactures assumes that the number of items produced x and the cost of dollars C of producting 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. Find equation that relates to C and x. Thank you. Click here to see answer by mathispowerful(115)

 Question 92106: Suppose you have a lemonade stand, and when you charge \$1 per cup of lemonade you sell 50 cups. But when you raise your price tp \$2 you only sell 25 cups. Write an equation number of cups you sell as a function of the priceyou charge. Denote "C" for number of cups, an "P" for the priceyou charge. Assume the function is linear. Click here to see answer by stanbon(57361)

 Question 92235: Lisa is coloring her creation. The blue color used is 50% of the green color used, yellow is 5% of the blue color used, and brown is 7% of the amount of green used. She wants to find the total amount of color used by her. Find the total amount of color used by Lisa using an algebraic expression. Click here to see answer by stanbon(57361)

 Question 92234: Mr. Pinto is a Web designer. He is trying to put 4 characters on a page. The space occupied by character 2 takes 5 units more than character 1, character 3 takes 7 units less than the character 2, and character 4 takes the same space as that taken by character 2. Find the total space occupied by all the characters in an algebraic expression. Click here to see answer by stanbon(57361)

 Question 92233: 1. Three prizes are to be distributed in a Creative Design Talent Search Contest. The value of the second prize is five-sixths the value of the first prize, and the value of the third prize is four-fifths that of the second prize. Express the total value of the three prizes as an algebraic expression. Click here to see answer by checkley71(8403)

 Question 92291: Graph f(x) = 3x + 2. Click here to see answer by jim_thompson5910(28595)

 Question 92290: Given f(x) = 5x2 – 3x + 1, find f(–2). Click here to see answer by jim_thompson5910(28595)

 Question 92292: Given f(x) = –5x – 1, find f(a – 1). Click here to see answer by jim_thompson5910(28595)

 Question 92287: Write the equation of the line that passes through point (0, –9) with a slope of 6 Click here to see answer by jim_thompson5910(28595)

 Question 92286: Write the equation of the line that passes through point (–1, 4) with a slope of 0. Click here to see answer by jim_thompson5910(28595)

 Question 92285: Write the equation of the line passing through (–3, –5) and (3, 0) Click here to see answer by jim_thompson5910(28595)

 Question 92288: Are the following lines parallel, perpendicular, or neither? L1 through (–4, –7) and (1, 3) L2 through (2, 6) and (4, 10) Click here to see answer by checkley71(8403)

 Question 92284: Determine which two equations represent perpendicular lines. (a) y = 2x – 9 (b) y = 1/2 x + 9 (c) y = – 1/2 x + 9 (d) y = 1/2 x – 9 Click here to see answer by checkley71(8403)

 Question 92283: Determine which two equations represent parallel lines. (a) y = 3/7 x + 4 (b) y = 7/3 x + 9 (c) y = 7/3 x – 9 (d) y = – 3/7 x + 9 Click here to see answer by checkley71(8403)

 Question 92281: Find the slope and y-intercept. x = –9 Click here to see answer by checkley71(8403)

 Question 92280: Adult tickets for a play cost \$8 and child tickets cost \$1. If there were 22 people at a performance and the theater collected \$50 from ticket sales, how many children attended the play? Click here to see answer by checkley71(8403)

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