# 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 57034: 7. Use your graphing utility to estimate, to the nearest tenth, the relative maxima and minima of the graph of p(x) = x^3 - 2x^2 - 11x + 12 Click here to see answer by stanbon(57224)

 Question 57037: Determine the x- intercepts of the graph of p(x) = (x + 8)^2 (x - 12) (x - 10). For each x-intercept, determine whether the graph of p crosses the x-axis or intersects but does not cross the x-axis. Click here to see answer by stanbon(57224)

 Question 57085: 50. A bride-to-be has several girlfriends, but she has decided to have only five bridesmaids, including the maid of honor. The number of different ways n girlfriends can be chosen and assigned a position, such as maid of honor, first matron, second matron, and so on, is given by polynomial function P(n) = n^5 - 10n^4 + 35n^3 - 50n^2 + 24n a. Use the remainder Theorem to determine the number of ways the bride can select her bridesmaids if she choose from n = 7 girlfriends. b. Evaluate P(n) for n = 7 by substituting 7 for n. How does this result compare with the result obtained in part a.? Click here to see answer by stanbon(57224)

 Question 57087: 52. A herd of 204 African gazelles is introduced into a wild animal park. The population of the gazelles, P(t), after t years is given by P(t) = -0.7t^3 + 18.7T^2 - 69.5T + 204, where 0 < t < or equal to 18. a. Use a graph of P to determine the absolute minimum gazelle population (rounded to the nearest single gazelle) that is attained during this time period. b. Use a graph of P to determine the absolute maximum gazelle population (rounded to the nearest single gazelle) that is attained during this time period. Click here to see answer by stanbon(57224)

 Question 57033: 6. Find the five real zeros of p(x) = 4x^5 - 13x^3 + 9x Click here to see answer by venugopalramana(3286)

 Question 57031: 4. Find the x-intercepts of the graph of y = 6x^2 + x - 12 Click here to see answer by venugopalramana(3286)

 Question 57107: Set up a system of equations to describe this situation. Solve the system of solutions to find the solution. A company gets a major part used in the production of their product from two different suppliers. The cost for this major part from dealer A is \$5.25 per unit. From supplier B the part cost is \$4.80 per unit. The company needs 7500 units and has \$37,350 to spend. Click here to see answer by rcmcc(152)

 Question 57257: Verify that P(x) = x^3 - x^2 - ix^2 - 20x + ix + 20i has a zero of i and that its conjugate -i is not a zero. Explain why this does not contradict the Conjugate Pair Theorem. Click here to see answer by Scriptor(36)

 Question 57309: 1. Six pears and three apples cost \$3.90. Two pears and five apples cost \$3.30. How much does one pear cost? Hint: You have two unknowns (variables), so you need two equations. Write one equation for each situation and solve the system of equations. Let p = the cost of one pear Let a = the cost of one apple a. Write a system of equations that can be used to determine the cost of pears and apples. Determine the cost of one pear and one apple. Use mathematics to explain how you determined your answer. Click here to see answer by hayek(51)
 Question 57309: 1. Six pears and three apples cost \$3.90. Two pears and five apples cost \$3.30. How much does one pear cost? Hint: You have two unknowns (variables), so you need two equations. Write one equation for each situation and solve the system of equations. Let p = the cost of one pear Let a = the cost of one apple a. Write a system of equations that can be used to determine the cost of pears and apples. Determine the cost of one pear and one apple. Use mathematics to explain how you determined your answer. Click here to see answer by funmath(2925)

 Question 57254: Pseudoephedrine hydrochloride is an allergy medication. The polynomial function L(t) = 0.03t^4 + 0.4t^3 - 7.3t^2 + 23.1t where 0< or equal to t < or equal to 5, models the levels of pseudoephedrine hydrochloride, in milligrams, in the bloodstream of a patient t hours after 30 milligrams of the medication have been taken. At what times, to the nearest minute, does the level of pseudoephedrine hydrochloride in the bloodstream reach 12 milligrams? Click here to see answer by stanbon(57224)

 Question 57347: I am using a practice guide for my SAT's. In it is this problem. "Erik owned 50 marlbles. After winning w marbles in one game and losing k marbles in the next game, he owned 60 marbles. What is the value of w-k?" I have tried 50w-k=60, which didn't work out. I tried 50+w-k=60, which also didn't work out. If you can please help me to find the correct way to interpret the problem for solving I would appreciate it. Thanks. Click here to see answer by stanbon(57224)

 Question 57353: 2. A student thinks that P(n) = n^3 - n is always a multiple of 6 for all natural numbers n. What do you think? Provide a mathematical argument to show that the student is correct or a counter example to show that the student is wrong. Click here to see answer by venugopalramana(3286)

 Question 57352: The economist Arthur Laffer conjectured that if taxes were increased starting from very low levels, then the tax revenue received by the government would increase. But, as tax rates continued to increase, there would be a point at which the tax revenue would start to decrease. The underlying concept was that if taxes were increased too much, people would not work as hard because much of their additional income would be taken from them by the increase in taxes. a. Assume that Laffer's curve is given by R(x) = -6.5(x^3 + 2x^2 - 3x) / x^2+x+1 where R is measured in trillion of dollars. Use a graphing calculator to determine the tax rate x, to the nearest tenth of a percent, that would produce the maximum tax revenue. (Hint: Use a domain of [0,1] and a range of [0,4].) b. Assume that Laffer's curve is given by R(x)= -1500(x^3+2x^2-3x)/x^2+x+400. Where R is measured in trillions of dollars. Use a graphing calculator to determine the tax rate x, to the nearest tenth of a percent, that would produce the maximum tax revenue. Click here to see answer by stanbon(57224)

 Question 57444: Use Descartes' Rule of Signs to state the number of possible positive and negative real zeros of P(X) = 5X^4 + 21X^3 + 18X^2 - 6X - 4 Click here to see answer by stanbon(57224)

 Question 57446: Find the real zeros of P(x) = x^4 - x^3 - 18x^2 + 52x - 40. If a zero is a multiple zero, state its multiplicity. Click here to see answer by Nate(3500)

 Question 57445: Use the Rational Zeros Theorem to list possible rational zeros for P(X) = 4X^4 - 3X^3 + 2X^2 - 6. Click here to see answer by stanbon(57224)

 Question 57554: hello, I was wondering how to slove this question.. I would be very happy if you could help. Thank you! Click here to see answer by ankor@dixie-net.com(15628)

 Question 57567: 1. There are 57 major sources of pollen in the US. These pollen sources are catagorized as grasses, weeds, and trees. If the number of weeds is 5 less than twicw the number of grasses, and the number of trees is 2 more than twice the number of grasses, find the number of grasses, weeds, and trees that are major pollen sources. (Grass 12, Weeds 19, Trees 26) 2. Find three consecutive even intergers such that twice the first increased by the third is twenty eight. (8,10,12) 3. Jim is planning to build a rectangular sand box for his children. He wants its length to be 3 ft less than twice the width. He has only 30 ft of lumber to form the frame. Find the dimensions of the sand box. ( Width 6 ft, length 9 ft) 4. Bill's age is 4 years younger than three times Ed's age. If the sum of their ages is increased by 5 their total age is 25. How old is each (Ed 6 years, Bill 14 years) Click here to see answer by stanbon(57224)

 Question 57594: Find the x-intercepts of the graph of y = 6x^2 + x - 12. Click here to see answer by stanbon(57224)

 Question 57595: Find the minimum of P(x) = 3x^2 + 6x - 1. Click here to see answer by stanbon(57224)

 Question 57598: Find the maximum of P(x)= -x^2 + 8x + 1. Click here to see answer by stanbon(57224)

 Question 57642: Find a polynomial function with real coefficients that has zeros 3 and - 4i, has degree 3 and where P(0) = -96. Click here to see answer by ankor@dixie-net.com(15628)

 Question 57751: The charge for admission to the zoo is \$3.25 for each adult and \$1.50 for each child. On a day when 500 people paid to visit the zoo, the receipts totaled \$1,275. Find the number of adult and children tickets purchased that day ? what I have so far.... X= adult tickets purchased y= child's tickets purchased 3.25x + 1.50y = 1275 x+y=500 I am not sure if this is correct. Please help!!!!! Rodney Click here to see answer by checkley71(8403)

 Question 57754: 2X-Y=-2 and X+3Y=-15 2X-Y=-2 1X+3Y=-15 1(2X-1Y=-2) 2(-1X+-3Y=-15) 2X-1Y= -2 -2X+-6Y=-30 -7Y -32 ----- ----- -7 -7 Y= 4.57 Is this correct? This seems odd because now I have to graph these points. Please help!!!! Click here to see answer by stanbon(57224)

 Question 57785: 4. A moving company is looking to purchase a truck to expand their business. The company is in a city where the sales tax is 8%. There is also a \$84 title and registration fee to pay. The company plans to spend at least \$14,500 but no more than \$17,000. What is the price range for the truck? Click here to see answer by stanbon(57224)

 Question 57784: 3. A commercial Airline flies frequently between Los Angeles and Chicago. One of the jets flew at and average speed of 640 mph from Los Angeles to Chicago. On the return trip due to turbulance the jet averaged only 512 mph, and the return trip took 48 minutes longer. a) model the mathematical relationship. b) How many hours was the flight from Chicago to Los Angeles? c) What is the distance between Chicago and Los Angeles? Click here to see answer by stanbon(57224)

 Question 57801: Two stockbrokers are making cold calls to potential customers regarding a hot IPO. One of the brokers is able to get a new client every 0.125 hour, and the other is able to get a new client every 0.2 hour. At what rate (in new clients per hour) are the new clients being acquired when both are working? Click here to see answer by stanbon(57224)

 Question 57638: P(x) = x^3 - 2x^2 - 14x + 40 has a zero of 3 + i. Find the remaining zero of P(x). Click here to see answer by ankor@dixie-net.com(15628)

 Question 57967: The amount of an investment of P dollars for t years at simple interest rate of r is given by A = P + Prt. Rewrite this formular by factoring out the GCF on the right hand side. Also, find A if \$8300 is invested for 3 years at a simple interest rate of 15%. Click here to see answer by stanbon(57224)

 Question 57965: A rectangular painting with a width of x centimeters has an area of x^2+50x square centimeters. Find a binomial that represents the length. I don't know where to begin here! I understand that the area (a) = x^2+50x, and that for solving for length and width for a rectangle we use a = l + w. From there, I am lost. Click here to see answer by ankor@dixie-net.com(15628)

 Question 57894: Hi! Need some help with this equation..... y=2x+1 x+y=4 If possible I need to express my answer as an ordered pair (x,y). Thanks in andance for the help! Click here to see answer by cyclones24(2)

 Question 58103: YURI HAS A BOARD THAT IS 98 INCHES LONG. HE WISHES TO CUT THE BOARD INTO TWO PIECES SO THAT ONE PIECE WILL BE 10 INCHES LONGER THAN THE OTHER. WHAT SHOULD THE LENGTH OF EACH PIECE BE? THANK YOU! Click here to see answer by tutorcecilia(2152)

 Question 58230: A spider has 8 legs and no wings. A dragonfly has 6 legs and 2 pairs of wings. A cicada has 6 legs and one pair of wings. We have all 3 kinds and a total of 18 insects in a cage. This gives us a total of 118 legs and 20 pairs of wings. How many insects do we have of each kind? Click here to see answer by checkley71(8403)

 Question 58045: Please help me. The more I read the problem, the more I become confused. I appreciate your helping. The percentage of women in the 20-24 age group who have never been married went from 55% in 1970 to 73% in 2000. Let 1970 be year 0 and 2000 be year 30. A) Find and interpret the slope of the line through the points (0,55)and (30,73). Find the equation of the line in part A. What is the meaning of the y-intercept? Use the equation to predit the percentage in 2010. If this trend continues, then in what year will the percentage of women in the 20-24 age group who have never been married reach 100%? Click here to see answer by ankor@dixie-net.com(15628)

 Question 58356: I am stumped on how to write the following equation Ernie has \$3.65 in nickels and dimes. He has 13 more nickels than dimes. how many coins does he have? Help Click here to see answer by funmath(2925)
 Question 58356: I am stumped on how to write the following equation Ernie has \$3.65 in nickels and dimes. He has 13 more nickels than dimes. how many coins does he have? Help Click here to see answer by checkley71(8403)

 Question 58370: i have a question that reads a rental car agency charges \$20 per day plus 11 cents per mile to rent a car. another agency charges \$27 per day plus 7 cents per mile to rent the same car. how many miles will have to be driven in one day for the cost of a car from the first agency to equal the cost of a car fromt he second agency. Click here to see answer by stanbon(57224)

 Question 58379: Find the product: [x - ( 2 + i)][x - (2 - i)]. Click here to see answer by josmiceli(9654)

 Question 58380: ```Write 2x - 3 -------- - 3x 2x - 1 as a rational expression.``` Click here to see answer by Edwin McCravy(8880)

 Question 58422: Please help i totally dont understand how to make this a linear equation that works. The units digit of a two- digit number is less than twice the tens digit. When twice the number is subracted from 3 times the number formed by reversing the digits of the originaly number, the result is 83. What is the original number. Click here to see answer by ankor@dixie-net.com(15628)

 Question 58419: The question in the book asks: Use substitution to solve the linear system. 0.25x - 1.25y = 10.25 x - 5y = 20 My x and y's both cancel out or equal zero. I don't understand. Thanks Click here to see answer by babynarah2007(12)

 Question 58561: Find the product: [x - (2 + i)][x - (2 - i)] Click here to see answer by psbhowmick(529)

 Question 58558: Find the product: (x - 1)(x-2)(x + 3) Click here to see answer by psbhowmick(529)

 Question 58762: Please help me solve. It involves systems of equations. Thank you During summer vacation Hector and Ann earned a total of \$1088. Hector worked 8 days fewer than Ann and earned \$2 per day less. Find the number of days he worked and the daily wage he made if the total number of days worked by both was 72. Thanks! Click here to see answer by ankor@dixie-net.com(15628)

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