# Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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 Word Problems: Miscellaneous Word Problems Solvers Lessons Answers archive Quiz In Depth

 Question 92116: show the equation used for the solution. The length of a rectangle is 2 in. more than twice its width. If the perimeter of the rectangle is 34 in., find the dimensions of the rectangle. Click here to see answer by scott8148(6628)

 Question 92215: Find all (vertical and horizontal) asymptotes of f(x) = 2x^2 + 4x + 2 / 1-x^2. What is the domain of this function? Click here to see answer by stanbon(57967)

 Question 92214: A worker can cover a parking lot with asphalt in ten hours. With the help of an assistant, they can do the job in six hours. How long would it take the assistant, working alone, to cover the parking lot with asphalt? Click here to see answer by bucky(2189)

 Question 92218: Please help me with this problem I am about to pull my hair out. Suppose that a polynomial function of degree 4 with rational coefficients has -1,0, and 2-3i as zeros. What is the remaining zero? Click here to see answer by stanbon(57967)

 Question 92201: Directions: Solve each problem by using an absolute value equation or inequality. Jude's IQ score is more than 15 points away from Sherry's. If Sherry scored 110, then in what range is Jude's score? Click here to see answer by Nate(3500)

 Question 92236: In an auditorium there are 4x rows, and each row can accommodate 5yz benches. If x students can be accommodated in each bench, then how many students can sit in the auditorium? Click here to see answer by Nate(3500)

 Question 92239: The sum of two numbers is 84. The second is 9 more than 4 times the first. What are the two numbers? Click here to see answer by Nate(3500)

 Question 92200: Directions: Solve each problem by using an absolute value equation or inequality. In July 1985 Steve Cram of Great Britain set a world record of 3 minutes 29.67 seconds for the 1500 meter race and a world record of 3 minutes 46.31 seconds for the mile 1- mile race. Suppose you know only that these two events occurred 11 days apart and that the 1500 meter record was set on July 16. Use an absolute value equation to find the possible dates for the 1 mile record run. Click here to see answer by stanbon(57967)

 Question 92238: Solve the following system of linear inequalities by graph x-2y > 4 (the sign is greater or equal than ...I couldn't draw the underline) x< 4 (the sign is less or equal than) Click here to see answer by stanbon(57967)

 Question 92237: Tom and David have 480 marbles between them. Tom arranges them in columns with 6 in each column, and David arranges them with 9 in each column. The total number of columns is 72. Express the above information in the form of an algebraic equation. Click here to see answer by checkley71(8403)
 Question 92237: Tom and David have 480 marbles between them. Tom arranges them in columns with 6 in each column, and David arranges them with 9 in each column. The total number of columns is 72. Express the above information in the form of an algebraic equation. Click here to see answer by stanbon(57967)

 Question 92249: Given f(x) = –x3 – 2x2 – x – 3, find f(–2), f(0), and f(2) Click here to see answer by jim_thompson5910(28715)
 Question 92249: Given f(x) = –x3 – 2x2 – x – 3, find f(–2), f(0), and f(2) Click here to see answer by checkley71(8403)

 Question 92248: 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 Click here to see answer by ankor@dixie-net.com(15746)

 Question 92232: Solve the system by addition. –5x – 9y = –5 x + 5y = –15 Click here to see answer by jim_thompson5910(28715)

 Question 92243: The sum of two numbers is 29. Their difference is 7. What are the two numbers? Click here to see answer by checkley71(8403)

 Question 92241: Graph the inequality. x – y < 2 (the sign is less or equal than..I couldnt draw the underline Click here to see answer by mathispowerful(115)

 Question 92250: 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 fourth-fifths that of the second prize. Express the total value of the three prizes as an algebraic expression. Click here to see answer by stanbon(57967)

 Question 92255: please help this is from a work sheet Thank you in advance Sally bought three chocolate bars and a pack of gum and paid \$1.75.Jake bought two chocolate bars and four packs of gum and paid \$2.00.Find the cost of a chocolate bar and the cost of a pack of gum. Click here to see answer by checkley71(8403)

 Question 92254: Could someone please help me this problem is from a worksheet and I really do not understand how to do this thank you in advance for all the help. 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 avaiable is limited to 400 hours per week,and the total production capacity is 100 items per week.Existing order requare that at 20 doll houses and 10 sets of furniture be produced per week.write a system of inequqlites representing this sitution,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 ankor@dixie-net.com(15746)

 Question 92206: Directions: Solve each problem. A furniture maker has a shop that can employ 12 workers for 40 hour per week at its maximum capacity. The shop makes tables and chairs. It takes 16 hours of labor to make a table and 8 hours of labor to make a chair. Graph the region that shows the possibilities for the number of tables and chairs that could be made in one week. Click here to see answer by ankor@dixie-net.com(15746)

 Question 92268: In an auditorium there are 4x rows, and each row can accommodate 5yz benches. If x students can be accommodated in each bench, then how many students can sit in the auditorium?: In an auditorium there are 4x rows, and each row can accommodate 5yz benches. If x students can be accommodated in each bench, then how many students can sit in the auditorium Click here to see answer by ankor@dixie-net.com(15746)

 Question 92207: Directions: Solve each problem. Waist to hip ratio. A study by Dr. Aaron R. Folsom concluded that waist to hip ratios are a better predictor of a 5 year survival than more traditional height to weight ratios. Dr. Folsom concluded that for good health the waist size of a woman aged 50 to 69 should be less than or equal to 80% of her hip size,c w is less than or equal to 0.08h. Make a graph showing possible waist and hip sizes for good health for women in this age group for which hip size is no more than 50 inches. Click here to see answer by ankor@dixie-net.com(15746)

 Question 92412: You buy a used car with 37,148 miles on the odometer. Based on you rregular driving habits, you plan to drive the car 15,000 miles each year that you own it. Write an expression for the number of miles that appears on the odometer at the end of each year. Evaluate the expression to find the number of miles that will appear on the odometer after you have owned the car for 4 years. Click here to see answer by checkley71(8403)

 Question 92415: First of all this is the actual problem: In an auditorium there are 4x rows. Each row accomidates 5yz benches. If x students can be accomidated in each bench, then how many students can sit in the auditorium? I came up with 2 expressions but don't know which is the correct idea. 1. 4x * 5yz = 20*x*y*z 2. 4x(5yz*x) Click here to see answer by stanbon(57967)

 Question 92430: please help me thank you one number is 12 more than another.The sum of the smaller number and twice the larger number is 39.Find the larger. Click here to see answer by anraymer(35)

 Question 92432: I'd really appreciate your input on this problem. Tom and David both collected a total of 480 marbles. Tom stacked each column with 6 marbles. and David stacked each column with 9 marbles. They stacked 72 columns together. Write an equation using this information. Well, i came up with 56 columns for Tom; and 16 columns for David which equal 72 together. Tom collected 56columns x 6marbles=336 David collected 16columns x 9marbles=144 Tom plus David=480marbles. But, how do i write an equation for these numbers?? Click here to see answer by scott8148(6628)

 Question 92529: Adult tickets for a play cost \$20 and child tickets cost \$16. If there were 27 people at a performance and the theater collected \$464 from ticket sales, how many adults and how many children attended the play? A) 10 adults and 21 children B) 9 adults and 20 children C) 8 adults and 19 children D) 7 adults and 18 children Thank you for any help... Click here to see answer by jim_thompson5910(28715)

 Question 92575: Which of the ordered pairs is a solution for the equation 4x – 2y = 8? A) (0, 4) B) (–2, 0) C) (–2, –4) D) (0, –4) Click here to see answer by Edwin McCravy(8999)

 Question 92574: Find the slope of the line passing through the points (–4, 0) and (–4, –2). A) 0 B) 1 C) –2 D) Undefined Click here to see answer by tutorcecilia(2152)

 Question 92572: 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 checkley75(3666)

 Question 92600: Kit got 74/80 on an exam, meaning that she earned 74 points out of 80 possible. Write the decimal equivalent of this fraction. Click here to see answer by checkley75(3666)

 Question 92607: Write the following phrase using symbols. Use the variable x to represent the number. A number divided by 6 Click here to see answer by psbhowmick(529)

 Question 92604: The length of a rectangular garden is 1 ft less than 2 times its width. If the perimeter of the garden is 46 ft, find the dimensions of the garden. Click here to see answer by psbhowmick(529)

 Question 92534: Boat builders share an old rule of thumb for sailboats. The maximum speed K in knots is 1.35 times the square root of the length L in feet of the boat's waterline. a. A customer is planning to order a sailboat with maximum speed of 8 knots. How long should the waterline be? b. How much longer would the waterline have to be achieve a maximum speed of 10 knots? Click here to see answer by ankor@dixie-net.com(15746)

 Question 92599: Solve for and check the solution x/4 =–4 Click here to see answer by checkley75(3666)