# 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 92366: Write the equation of the line that passes through point (0, –9) with a slope of 6. i wrote one but i am not sure that i got this correct can you help? thank you Click here to see answer by dolly(163)

 Question 92364: Given f(x) = –5x – 1, find f(a – 1) i think i found the answer but i making sure i got this one right. thank you for the help Click here to see answer by dolly(163)

 Question 92374: I have an answer already but I am not sure that I got this write, can you help? Thank you Write the equation of the line passing through (6, –10) and (6, –6). Click here to see answer by stanbon(57962)

 Question 92282: Determine which two equations represent parallel lines. (a) y = 5/8x + 3 (b) y = -8/5x – 8 (c) y = 3x + 11 (d) y = 3x – 3 Click here to see answer by checkley71(8403)
 Question 92282: Determine which two equations represent parallel lines. (a) y = 5/8x + 3 (b) y = -8/5x – 8 (c) y = 3x + 11 (d) y = 3x – 3 Click here to see answer by RainaTFG(1)

 Question 92519: I am trying to so;ve the following and I am lost. A small company produces both standard and deluxe playhouses. The standard playhouses take 12 hours of labor to produce, and the deluxe playhouses take 20 hours. The labor available is limited to 800 hours per week, and the total production capacity is 50 items per week. Existing orders require the company to produce at least 10 standard playhouses and 15 deluxe playhouses per week. Write a system of inequalities representing this situation, where x is the number of standard playhouses and y is the number of deluxe playhouses. Then graph the system of inequalities. Click here to see answer by ankor@dixie-net.com(15746)

 Question 92540: I am just drawing a blank on what the 2 equations would be for this problem. Once I get them. I can solve the problem. Simone can build a treehouse in 15 hours. Working together Simone and Tyrese can build a treehouse in 7 hours. How many hours would Tyrese take to build the treehouse working alone? I have S=15 S+T=7 but I know this isn't correct. Please help Click here to see answer by stanbon(57962)
 Question 92540: I am just drawing a blank on what the 2 equations would be for this problem. Once I get them. I can solve the problem. Simone can build a treehouse in 15 hours. Working together Simone and Tyrese can build a treehouse in 7 hours. How many hours would Tyrese take to build the treehouse working alone? I have S=15 S+T=7 but I know this isn't correct. Please help Click here to see answer by scott8148(6628)

 Question 92520: Ok. I have answered two of these already but I cannot get this one. A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths. Then graph the system of inequalities. Click here to see answer by ankor@dixie-net.com(15746)

 Question 92580: A furniture store marks up items 20% (based on cost). If the furniture store buys a couch for \$350, what will the selling price be? A) \$410 B) \$420 C) \$430 D) \$440 Click here to see answer by uma(370)

 Question 92579: A home purchased for \$300,000 depreciated 8% over a 1-year period. What was the value of the home after at the end of the year? A) \$272,000 B) \$274,000 C) \$276,000 D) \$278,000 Click here to see answer by uma(370)

 Question 92578: A bracelet was marked up \$175 from cost, which amounts to a 50% increase. Find the original cost of the bracelet. A) \$365 B) \$360 C) \$360 D) \$350 Click here to see answer by Feliz(4)

 Question 92591: Solve. 3x – 0.11 = 2(x – 0.66) A) –1.07 B) –1.21 C) –1.42 D) –0.87 I did not come with an answer for this can you help me? Click here to see answer by tutorcecilia(2152)
 Question 92591: Solve. 3x – 0.11 = 2(x – 0.66) A) –1.07 B) –1.21 C) –1.42 D) –0.87 I did not come with an answer for this can you help me? Click here to see answer by prabhjyot(164)

 Question 92590: Multiply. a4b2 times ab3 A) ab6 B) a5b5 C) ab5 D) a4b5 I came up with B as the answer I am right? Click here to see answer by bucky(2189)
 Question 92590: Multiply. a4b2 times ab3 A) ab6 B) a5b5 C) ab5 D) a4b5 I came up with B as the answer I am right? Click here to see answer by prabhjyot(164)

 Question 92577: Graph the solution set of x > or equal to –7. For whatever reason I am blank on this one... Click here to see answer by jim_thompson5910(28705)

 Question 92589: Evaluate this 5 • 4 ÷ 2 – 42 A) 100 B) 36 C) 5 D) –6 ok I came up with d or -6, am I right? Click here to see answer by bucky(2189)

 Question 92573: An airplane covered 9 miles of its route while decreasing its altitude by 36,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. [Hint: 1 mi = 5280 feet.] A) -0.55 B) -0.23 C) -0.76 D) – 0.11 Ok, I got an answer but I want to make sure that mine is correct. Click here to see answer by bucky(2189)

 Question 92757: Evaluate 2m - 5n / (over or divided by) n +3p if m = –2, n = 4, and p = –1. A) –24 B) 24 C) –16 D) 16 Ok, I am not getting any answer here, can you help please? thank you Click here to see answer by scott8148(6628)

 Question 92760: Solve the system by addition. 2x + 4y = 3 4x – 2y = 1 A) (1/2, 1/2) B) (1/3, 1/3) C) (1/4, 1/4) D)(1/5, 1/5) Click here to see answer by scott8148(6628)

 Question 92816: 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 stanbon(57962)

 Question 92912: A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities. sorry but I am so lost on this one, thank you Click here to see answer by ankor@dixie-net.com(15746)

 Question 93012: A small company produces both standard and deluxe playhouses. The standard playhouses take 12 hours of labor to produce, and the deluxe playhouses take 20 hours. The labor available is limited to 800 hours per week, and the total production capacity is 50 items per week. Existing orders require the company to produce at least 10 standard playhouses and 15 deluxe playhouses per week. Write a system of inequalities representing this situation, where x is the number of standard playhouses and y is the number of deluxe playhouses. Then graph the system of inequalities Click here to see answer by ankor@dixie-net.com(15746)

 Question 93173: A grocer buys twice as many good apples at 20c each as poor apples at 15c each. He finds that one dozen of the poor apples are bad. By selling the rest at 30c each he makes a profit of \$26.15. How many each type of apple did he buy? Click here to see answer by stanbon(57962)

 Question 93293: Solve using a two-order system. One number is 3 less than twice another. If their sum is 39, find the numbers. Solve using a two- order system. John made a rectangular pen for his dog using 28 feet of fencing. If the width of the pen is 2 feet more than one-half the length, what are the length and width of the pen? Click here to see answer by checkley75(3666)

 Question 93569: I have to find a real-life application of a linear function. State the application, give the equation of the linear function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application. Please see the following example. Do not use any version of this example in your own post. You may use other variables besides x and y, such as x and W. I have honestly spent 16 hours trying to figure out how to do this, and I'm extremely confused. I am a 4.0 student until it comes to Algebra! Click here to see answer by stanbon(57962)

 Question 93651: The number that results when an integer is multiplied by itself CANNOT end in which of the following digits? (A) 1 (B) 4 (C) 5 (D) 6 (E) 8 Click here to see answer by ptaylor(2052)

 Question 93835: Find a number such that one more than two thirds the number is three fourths the number Click here to see answer by checkley75(3666)

 Question 94065: I am not sure on how to set the word promblems up. Question 49 states: Commission your salary is 1250 dollars per week and you recieve a 5% commission on your sales each week. What are the possible amounts in dollars that you can sell each week to earn atleast 1500 dollars per week? Click here to see answer by stanbon(57962)

 Question 94384: can you help me with this problem? 5(x-2)=2x+10 Click here to see answer by jim_thompson5910(28705)

 Question 94378: An employee who produces x units per hour earns an hourly wage of y = 0.50x + 7 (in dollars). Find the hourly wage for an employee who produces 12 units per hour. Click here to see answer by ankor@dixie-net.com(15746)

 Question 94688: I dont know how to set it up: The length of a standard basketball court can vary from 84 feet to 94 feet, inclusive. Write an absolute value inequality that describes the possible lengths of a standard basketball court. Click here to see answer by stanbon(57962)

 Question 95282: In a certain city, the amount of property tax paid varies directly with the assessed value of the property. If a family whose house is assessed at \$60,000 pays \$1,500 in property tax during a certain year, what is the assessed value of a house whose owners paid \$2,125 in taxes during the same year? Click here to see answer by checkley71(8403)

 Question 95518: Good evening, I am in need of some help solving a word problem and doing an equation set-up. Here is the problem that I am having trouble with. It's 4 parts. The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floor plan #2. Write an equation that illustrates the situation. The sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in part a. Use the equations from part a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem. What are the intercepts of the equation from part a of this problem? What are the intercepts from part b of this problem? Where would the lines intersect if you solved the system by graphing? Thanks so much for any help you can provide. Click here to see answer by stanbon(57962)

 Question 94162: i am having trouble trying to figure out the slope for these equations can anyone help me out Find the slope of the line passing through the points (11, 16) and (4, 9). Click here to see answer by kiljoy(51)

 Question 95658: You recently started the paperwork to purchase your new home, and you were just notified that you can move into the house in 2 weeks. You decide to hire a moving company, but are unsure which company to choose. You search online and are interested in contacting two companies, Heavy Lifters and Quick Move, to discuss their rates. Heavy Lifting charges an \$80 fee plus \$35 per hour. Quick Move charges \$55 per hour with no additional fees. a) Which mover provides a better deal for 2 hours of work? How did you arrive at your answer? b) Which mover provides a better deal for 15 hours of work? How did you arrive at your answer? c) For what values h (hours) does Quick Move offer the better deal? Express your answer as an inequality. Explain how you reached your answer. Click here to see answer by stanbon(57962)

 Question 95647: I hope I put the correct type of problem in my title. I am taking an online class in College Algebra and I can't figure what they are asking for in the assignments. It has been 30 years since I have done algebra. Please help me with this problem. Thank you in advance. I did solve some of the questions, I think they are right. I didn't know how to get c & d. The path of a falling object is given by the function where represents the initial velocity in ft/sec and represents the initial height in feet. a) If a rock is thrown upward with an initial velocity of 64 feet per second from the top of a 25-foot building, write the height (s) equation using this information. Typing hint: Type t-squared as t^2 Answer: s=-16t^2+64t+25 b) How high is the rock after 1 second? Answer:s=73 Show your work here: S=-16(1^2)+64(1)+25 S=-16+64+25 S=73 c) After how many seconds will the graph reach maximum height? Answer: Show your work here: d) What is the maximum height? Answer: Show your work here: Click here to see answer by stanbon(57962)

 Question 95705: Hi need some help with this problem: Congratulations! You are the proud owner of a new home, and today is moving day! Suppose the movers you have hired to help you have just left and will meet you at your new house to unload your belongings. The new house is 86 miles away. The movers left 12 minutes ago and are traveling at 50 miles per hour. (Hint: Change 12 minutes to its hour equivalent). You are leaving your house now and plan to drive 65 miles per hour. You want to reach the new house before the movers arrive, which means that you will pass them on the road. a) Complete the table below. Distance (miles) Rate (mph) Time (in hours) You d t Movers d t+0.2 b) Create a system of equations. One equation will show your distance at any given time t. The other equation will show the distance of the movers at any given time t. c) How much time will it take you to catch up with the movers? How did you arrive at your answer? d) How many miles will you have traveled when you catch up to the movers? Explain how you reached your answer. Click here to see answer by checkley71(8403)

 Question 95734: What is the solution of the system of equations? 4x + y =14 5x + y = -11 is it consistant or inconsistent? is it independent or dependent? Click here to see answer by checkley71(8403)
 Question 95734: What is the solution of the system of equations? 4x + y =14 5x + y = -11 is it consistant or inconsistent? is it independent or dependent? Click here to see answer by stanbon(57962)

 Question 95731: The perimeter of a rectangle is 154 inches. The length exceeds the width by 39 inches. Find the length and width. Click here to see answer by checkley71(8403)

 Question 95753: A refinery tank has one fill pipe and two drain pipes. Pipe 1 can fill the tank in 3 hr. Pipe 2 takes 6 hr or longer to drain the tank pipe than pipe 3 does. If it takes 12 hr to fill the tank when the valves of all three pipes are open, how long does it take pipe 3, alone, to drain the tank? Click here to see answer by jo_jo_milly_500bc(2)

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