Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)
Question 53894: Write a system of two equations in two unknowns for each problem Solve the systems by the method of your choice.
At Gwen’s garage sale, all books were one price, and all magazines were another price. Harriet bought four books and five magazines for $1.45, and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a magazine?
Click here to see answer by checkley71(8403)  |
Question 53971: In planning for a new item, a manufacturer assumes that the number of items produced X and the cost of 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 to C and X.
McGraw Hill 6th edition. CH. 7.3 Problem # 52.
Thank you so very much for your time!!!!!
Click here to see answer by stanbon(57246) |
Question 53495: 64. A manufacturer's selling price for a personal digit assistant (PDA) is given by p(x) = 125 - x/500, where x is the number of PDA's sold and p(x) is the price per PDA in dollars.
a. Write the revenue r as a function of x.
b. If the cost to produce x PDA's is given by c(x) = 300 + 50x - 0.001x^2, find the profit function.
c. What is the profit for selling 10,000 PDA's?
Click here to see answer by stanbon(57246) |
Question 54130: 82. Tickets for a concert were sold to adults for $3 and to students $2. If the total receipts were $824 and twice as many adult tickets as students were sold, then how many of each were sold?
Write a system of two equations in two unknowns for each problem
Click here to see answer by music974(43) |
Question 54131: 86. . Professor Davis counts his midterm as 2/3 of the grade, and his final as 1/3 of the grade. Jason scored only 64 on the midterm. What range of scores on the final exam would put Jason’s score between 70 and 79 inclusive?
Solve each compound inequality. Write the solution set in interval notation and graph it.
Click here to see answer by Nate(3500) |
Question 54200: Can anyone help me with this word problem:
Hanson drove his rig at x mph for 3 hours, then increased his speed to x + 15 and drove for 2 more hours. Write a polynomial that represents the total distance that he traveled. Find the distance if x=45 mph.
Thanks in advance for any help you can provide.
Click here to see answer by Earlsdon(6287) |
Question 54268: Stephanie drove at an average rate of 50 miles per hour for 2 hours and then increased her average rate by 50% for the next 3 hours. Her average rate of speed for the 5 hours was t miles per hour. What is the value of t?
Click here to see answer by Nate(3500) |
Question 54545: i get so confused when i work with fraction can someone please assist.
Solve each equation by the subtraction method. Determine whether the equation are independent, dependant, or inconsistent. Solve each system by the addition method
3/7x + 5/9y = 27
1/9x + 2/7y = 7
Click here to see answer by checkley71(8403) |
Question 54900: a new football field under construction will have a total length (including end zones) that is 40 feet more than twice its width. the area of the football field must be calculated in order to determine the amount of grass seed is necessary to seed the field. Find the area of the field if its perimeter will be 1040 feet.
Click here to see answer by checkley71(8403) |
Question 54961: 1. f(x)= 2x-4 4. f(x)= x-3
2. f(x)= -x+2 5. f(x)= -3x+2
3. f(x)= x^3+1 6. f(x)= 1/x
a. Do the graphs of a function and its inverse always intersect?
b. If the graphs of a function and its inverse intersect at one point, what is true about the coordinates of the point of intersection?
c. Can the graphs of a function and its inverse intersect at more than one point?
Click here to see answer by stanbon(57246) |
Question 54923: 24. The owner of a highway construction company knows that the maximum load a cylindrical column of circular cross section can support varies directly as the fourth power of the diameter and inversely as the square of the height. If a column 2 feet in diameter and 10 feet high supports up to 6 tons, how much of a load can a column 3 feet in diameter and 14 feet high support?
Click here to see answer by venugopalramana(3286) |
Question 54919: 50. The function K(X) = 1.3X - 4.7 converts a man's shoe size in the United States to the equivalent shoe size in the United Kingdom. Determine the function K^-1(X) that can be used to convert a United Kingdom man's shoe size to its equivalent U.S. shoe size.
Click here to see answer by funmath(2925) |
Question 55212: 24. The owner of a highway construction company knows that the maximum load a cylindrical column of a circular cross section can support varies directly as the fourth power of the diameter and inversely as the square of the height.
If a column 2 feet in diameter and 10 feet high supports up to 6 tons, how much of a load can a column 3 feet in diameter and 14 feet high support?
Click here to see answer by venugopalramana(3286) |
Question 55212: 24. The owner of a highway construction company knows that the maximum load a cylindrical column of a circular cross section can support varies directly as the fourth power of the diameter and inversely as the square of the height.
If a column 2 feet in diameter and 10 feet high supports up to 6 tons, how much of a load can a column 3 feet in diameter and 14 feet high support?
Click here to see answer by stanbon(57246) |
Question 55240: Four men were shipwrecked on an island. The first day they gathered a pile of coconuts and then went to sleep. During the night one of the men woke up and ate 1/3 of the coconuts. A second man woke up and ate 1/3 of the remaining cocnuts. A third man did the same. When the fourth man woke up he ate 1/4 of the remaining cocnuts. Then there were 6 coconuts left. How many coconuts did the men gather?
Click here to see answer by Paul(988) |
Question 55258: If the number of students majoring in computer scince at York College was 180 in 2002 and 210 in 2005 and if this number increases linearly each year, what will be the approximate number of students majoring in computer scince at york college
a) in the year 2008?
(hint: let the x-coordinate of each point represent the year and the y-cordinate represent the computer schince enrolment)
b)in the year 2012?
Click here to see answer by tutorcecilia(2152)  |
Question 55258: If the number of students majoring in computer scince at York College was 180 in 2002 and 210 in 2005 and if this number increases linearly each year, what will be the approximate number of students majoring in computer scince at york college
a) in the year 2008?
(hint: let the x-coordinate of each point represent the year and the y-cordinate represent the computer schince enrolment)
b)in the year 2012?
Click here to see answer by funmath(2925) |
Question 55302: what is k if the following system of equations has a unique solution:
2x+(k-1)y=6
3x+(2k+1)y=9
2. what is k if the following system of equations has infinite solutions
kx+3y=k-3
12x+ky=k
3.what is k if the following system of equations has no solution
3x+2y=6
kx+(k-1)y=9
LINEAR EQUATIONS AND THEIR SOLUTIONS
1.THE GIVEN POLYNOMIALS, IDENTIFY THE POLYNOMIALSOF ONE DEGREE ONE
a. x3 + 4x + 8
b. 76 + 5x
c. (x)1/2 + 5x - 6
d. 500 + (45)1/2x
e. 289y + 6 -76y
f. (37)1x1
g. (9x2)1/2 + 3
h. 89x4 + 3y + 5
Click here to see answer by stanbon(57246) |
Question 55401: 2 teams of scientists leave a university at the same time in special vans to search for tornadoes. the 1st team travel east at 20 mi/h and the 2nd team travels west at 30mi/h.their radios have a range of 125 mi. how much time will pass before the scientists lose radio contact?
Click here to see answer by foleysdad(7) |
Question 55583: Manuel opened a savings account with an initial deposit of $177.If he wants to save $500(not counting interest)during the next nineteen weeks, how much must he save each week.
I need to know how to write the problem and the steps and the answer please and thankyou.
Click here to see answer by Genius(17) |
Question 55982: How do I make an equation from the following word problem: A teacher gets paid $5.00 to teach a class plus the teacher gets an extra $10.00 for each student. There are 15 students in the class. If the teacher taught 5 classes and each class had 15 students how much money would the teacher make?
Click here to see answer by funmath(2925) |
Question 56180: Peter collected 105 coins. All the coins are nickels,dimes or quarters. Three times the number of nickels is the same as twice the number of dimes. The value of the coins is $22.00. Find the number of nickels, dimes and quarters that Peter has.
Could you please tell me the formulas to solve this, I can solve the other problems I have to complete that are similar.I've tried for a couple of hours, can't seem to understand the logic. Thanks for your help.
I do not have the testbook at home. My worksheet says Algebra II Systems of Linear Equations.
Click here to see answer by stanbon(57246) |
Question 56149: 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..PLEASE, THANK YOU SO MUCH
Click here to see answer by ankor@dixie-net.com(15638)  |
Question 56207: Could you please make a system for this word problem. On a college entrance exam, each correct answer adds one point to your raw score, each unanswered question adds nothing and each incorrect answer subtracts 1/4 point. You answer 82 out of 85 questions for a raw score of 67. How many questions did you answer correctly? Thank you.
Click here to see answer by stanbon(57246) |
Question 56274: 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. THANK YOU IN ADVANCE
Click here to see answer by Edwin McCravy(8882)  |
Question 56284: would someone please find it in there heart to assist me..god bless
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 stanbon(57246) |
Question 56503: LETTUCE FOR SALE: On Monday, the produce manager stocked the display case with 80 heads of lettuce. By the end of the day some of the lettuce had been sold. On Tuesday, the manager surveyed the display case and counted the number of heads of lettuce that were left. He decided to add an equal number of heads of lettuce. (He doubled the leftovers.) By the end of the day he had sold the same number of heads of lettuce as on Monday.
On Wednesday, the manager decided to triple the number of heads of lettuce that had been left in the case. He sold the same number of head of lettuce that day too. However, at the end of that day there were no heads of lettuce left.
* How many heads of lettuce were sold each day?
* How many heads of lettuce were left over at the end of each day?
Make sure to define any variables, explain your equations and show your work. Don't forget to show that you checked your work.
Click here to see answer by AgusKwan(7) |
Question 56828: the average wind speed increased 19mi/h from 8am to noon. it decreased 5mi/h from noon to 4pm at 4pm the average wind speed was at least 32mi/h what is the minimum value of the average wind speed at 8am
HINT)use inequalities
Click here to see answer by stanbon(57246) |
|
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830
|
