Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Question 439229: Matthew has two different stocks. One of the stocks is worth twice as much per share as the other. He has 14 shares of the more valuable stock and 26 shares of the other stock. His total assets in stocks is $2106. How much is the more expensive stock per share?
Thanks!
Click here to see answer by jorel1380(2518)

Question 439330: Line L contains the points (0,4) and (2,0). Show that the point (–25,81)
does o r does not lie on line L.
Click here to see answer by rwm(914)

Question 439283: the length of a rectangle is 5 meters less than twice the width, if the area of the rectangle is 493 sq meters what are the demensions
Click here to see answer by jorel1380(2518)

Question 439307: tbe sum of 2 numbers is 39. twice the larger number minus three times the smaller number is 40.
(write a system of equations to represent the situation)
Click here to see answer by jorel1380(2518)

Question 439419: A swimming pool holds 540,000 liters of water. THe pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in 180 min, and the second pipe alone can empty it in 120 min. When both pipes are draining together, how long does it take them to empty the pool?
Click here to see answer by mananth(12270)

Question 439492: Richard is 16 years old. At 3:00 pm he ran for 1 hour and 30 min. He wants to know at what time he will finish running if he runs 27 miles
Click here to see answer by Alan3354(31505)

Question 439658: Five times the difference of twice a number and nine is negative fifteen. Find the number.

i am having a hard time doing word problems.
can you explain how to do this problem?
thank you
Click here to see answer by shantalboodram(15)

Question 439694: A man goes into a grocery store and buys a grapefruit and a toy ball. A 7% tax is applied to the price of non food items. If the total bill is $5.15 including $ 0.18 in tax, what are the prices of the grapefruit and the ball?
Click here to see answer by solver91311(17070)

Question 439854: I think I made an unsolvable problem for myself. I needed to devise a linear equation with 2 variables in words in relation to somewhere I've worked. Now I can't make it into a linear equation that makes any sense to me. I keep wanting to put 2 equals signs in it, like 1000-11x +.35 = 977.65 =y. Can someone help me please? The problem I'm trying to make into an equation is:
I worked in an expensive motel where the nightly rate was $1000. My pay was $11 an hour plus .35 a room and it took 1 hr. to clean a room. What is the profit per day for the motel.
Is there even an equation here?
Thanks
Click here to see answer by ankor@dixie-net.com(15746)

Question 440037: The sum of three numbers is 4. The first, minus the second, plus 4 times the third, is 11. The third plus 3 times the first, plus the second, is -6. What are the numbers?
Click here to see answer by ewatrrr(10682)

Question 440113: Malome is presently half his brother's age. Five years ago his age and his brother's age added up to 26. What is Malome's present age?
Click here to see answer by stanbon(57953)

Question 440160: In 1920 the record for a certain race was 45.1 sec. In, 1980, it was 4303 sec.
Let R(t)= the record in the race and let t= the number of years since 1920.
Question
Find a linear function that fits this data
R(t)=?
Click here to see answer by ewatrrr(10682)

Question 440285: The number of cars varies jointly as the number of workers and the hours they work. If 200 workers can produce 60 cars in 2 hours, find the constant of variation and the joint variation equation
(Use the following variables: Cars (c) Workers (w) hours (h)
Use this equation to determine how many cars 240 workers should be able to produce in 3 hours.

Click here to see answer by jorel1380(2518)

Question 440461: Please answer this question, I am SO lost.
SendUP Graphics brought a computer for $3800. The value V(t) of the computer depreciates at a rate of $50 per month.
Formulate a linear function for the value V(t) of the computer after t months.
Use the model to determine the value of the computer after 10 1/2 months.
Thanks in advance
Click here to see answer by richard1234(5390)

Question 440467: A rental car agency charges $15 dollars per day plus 11 cents per mile to rent a certain car. Another agency charges $18 per day plus 8 cents per mile to rent the same car. How many miles will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency? Express the problems as a system of linear equations.
Click here to see answer by jorel1380(2518)

Question 440610: A fruit vender sells 9 oranges for 4.50.what is the cost per orange in cents.
Click here to see answer by stanbon(57953)

Question 440990: Write a statement reflecting on your appreciation for algebra and how it can be applied to a real situation. Support your statement with examples of applications.
Click here to see answer by MathLover1(6806)

Question 441022: Determine whether the lines 5.4x+3.4y=9.3 and 5.4x+3.4y=12.8 are parallel lines, perpendicular lines, or lines that intersect but are not perpendicular.
Click here to see answer by Alan3354(31505)

Question 441064: Hello, im stuck on this question and would like some help thanks. :)
The heights, in metres, or two hot-air balloons are measured at the same time. these formulae give their heights t seconds after that time.
- Balloon 1: 500-0.5t
- Balloon 2: 50+0.4t
a)Write down an equation and solve it to work out how many seconds it will take for the two balloons to be at the same height.
b) What will the height be at the time in part a?
This word problem confuses me so it would be great if you could help.
Thanks

Click here to see answer by stanbon(57953)

Question 441073: Hello, can someone please help me on this question.
A railway company charge passengers $75 each for a journey. All of the passengers except for 31 decide to pay an additional $15 each for an optional lunch. Altogether the company recieves $10,425 from the passengers. Suppose there are x passengers. Write down an equation and solve it to work out the number of passenger.
I have tried this problem and i came up with 121 passengers. i need an equation though and i would like to know if that is correct?
Thank-you for your help :)

Click here to see answer by Mlallory_Pl(3)

Question 441404: How do you solve this word problem? One number is four more than a second number. Two times the first number is 8 more than four times the second number.
Click here to see answer by stanbon(57953)

Question 441544: Thrifty car rentals charges $0.40 per mile and $43.95 dollars a day for a rental. An equivalent car from avis cost $0.42 per mile but only cost $42.95 dollars a day.
Write equations expressing this 2x2 linear system of equations
Click here to see answer by rwm(914)

Question 441801: Im a 9th grade student and I usually have no problem with word problems(even algebraic ones), but there is one problem which I have difficulty with;
A certain number of matches are needed to fill 24 boxes, with each box containing the same number of matches. When 4 less matches are put into each box there are enough for 28 boxes. Find the total number of matches.
I just need to form an equation and the rest can be solved by me
I tried "24(x-4) = 28x" but that didnt help!
Any help would be appreciated!
Click here to see answer by stanbon(57953)

Question 442132: I need to write a compound inequality for no more than $25,000 and no less than $10,000.
Click here to see answer by rwm(914)

Question 442241: 1. For three consecutive integers, when four times the third is subtracted from five times the first, the result is –4. Find the integers.
2. If six is added to three times a certain number, the result is 24. Find the number.
6+3x=24
-6 -6
3x= 18
x=6
3. If two is subtracted from five times a certain number, the result is 38. Find the number.
5x-2=38
-2 -2
5x=36
x=7.2

4. Nineteen is four larger than three times a certain number. Find the number.
19 = 4+3x
4+3x=19
3x=15
x=5

Click here to see answer by stanbon(57953)

Question 442298: If I am 40 and Jackie is 16 when will my age be 3 times jackie's age?
Click here to see answer by stanbon(57953)

Question 442441: Factor completely 81s^2+64-144s
Click here to see answer by swincher4391(726)

Question 442453: Factor trinomial b^3-5b^2-14b
Click here to see answer by swincher4391(726)

Question 442529: Kay spends 250 min/wk exercising. Her ration of time spent on aerobics to time spent on weight training is 3 to 2. How many minutes per week does she spend on aerobics? How many minutes per week does she spend on weight training?
Click here to see answer by stanbon(57953)

Question 442729: A nutritionist must meet certain requirments and yet keep the weight of a package to a minimum. He is considering combining two foods which are packaged in tubes. Each tube of food A contains 4 units or protein, 2 units of carbs, and 2 units of fat and weighs 3 lbs. The requirement calls for 42 units of protein, 30 units of carbs, and 18 units of fat. How many tubes of each food should be supplied?
Click here to see answer by stanbon(57953)

Question 442675: A merchant wants to combine peanuts selling $2.40 per pound and cashews selling for $6.00 per pound to form 60 pounds which will sell at $3.00 per pound. What amount of each type of nut should be used?
Click here to see answer by htmentor(807)

Question 442743: I have one more that I am struggling with, it is a word problem. A farmer has 100 acres which he can plant corn or oats. Each acre of oats requires $18 capital and 6hrs. of labor. Labor is $8/hr. The farmer has $2100 for capital and $2400 for labor. If the revenue is $55 from each acre of oats and $125 from each acre of corn, what planting combinaton will produce the greatest total profit? List combination and the profit.
Click here to see answer by stanbon(57953)

Question 423321: Translate the following situation into an inequality
The length of the second side of a triangle is one foot less than three times the length of the first side. The length of the third side is two feet more than the length of the first side. If the perimeter of the triangle must be larger that 108 feet, what are the dimensions of the triangle.
Click here to see answer by olujani(2)

Question 443094: the hypotenuse of a right triangle measures 29 cm. one leg is 1 cm shorter than the other. what are the lenghts of the legs?
Click here to see answer by swincher4391(726)

Question 443098: 0.07, can you support the claim that the catch of sardines from which the sample was drawn came from Japanese waters?

Click here to see answer by swincher4391(726)

Question 443064: I do not want an answer to the following problem. I did the work, and I am not getting the right answer. I would like to know where I made my mistake so that I can get the correct answer. Thank you.
Month Share Value (in dollars)
0 55
3 16
5 0
7 -8
9 -8
11 0
13 16
15 40
1. Using the table above, find the quadratic equation that represents the monthly value of a share of ACME Corporation since January 2009. Use the variable x to represent the number of months after January 2009 and the variable y to represent the monthly value.
I used the points (0,55),(5,0), and (11,0) to come up with the quadratic equation. I used (0,55) to solve for c in the equation ax^2+bx+c=y. I got 55 for c. I plugged that into the equation with (5,0) for x and y. I got 25a+5b+55=0, and (11,0) to get 121a+11b+55=y. I multiplied the first equation by -11, and the second one was multiplied by 5 to cancel out b and solve for a. The equation I ended up with is x^2-5x+55, but I do not get a true equation when I plug in the points. Please help me understand what I did wrong. This is due tomorrow.
Click here to see answer by stanbon(57953)

Question 443277: Divide and simplify, v^2/v^15
Click here to see answer by josmiceli(9817)

Question 443480: maria investment fell 18.4% in the month of june to $10976.31 What was the amount of her investment at the beginning of June?
Click here to see answer by rfer(12726)

Question 443668: one fifth of a number decreased by 4 is equal to 6. Find the number
Click here to see answer by rwm(914)

Question 443748: What is the difference betwee intersecting lines and perpendicular lines? Can two lines exist that are not intersecting or parallel?
Click here to see answer by rwm(914)

Question 443748: What is the difference betwee intersecting lines and perpendicular lines? Can two lines exist that are not intersecting or parallel?
Click here to see answer by swincher4391(726)

Question 443550: What are the equations used to solve this problem:
The Coffee Counter charges $9.00 per pound for Kenyan French Roast coffee and $8.00 per pound for Sumatran coffee. How much of each type should be used to make a 20-lb blend that sells for $8.40 per pound?

Click here to see answer by rwm(914)

Question 443718: The force exerted by the wind on a plane surface varies jointly with the area of the surface and the square of the velocity of the wind. If the force on an area of 20 square feet is 11 pounds when the wind velocity is 22 miles per hour, find the force on a surface area of 47.125 square feet when the wind velocity is 36.5 miles per hour.
Click here to see answer by rwm(914)

Question 443295: If I shower in the morning, then I do not smell bad.
I showered in the morning.
Therefore, I do not smell bad.

Click here to see answer by rwm(914)

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