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 197922: A B and C can finish a job in 6 days. If B and C work together the job will take 9 days. If A and C work together the job will take 8 days. In how many days can each man working alone do the job?
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Question 197924: 2. Suppose Bob owns 2,000 shares of Company X and 10,000 shares of Company Y. The total value of Bob's holdings of these two companies is $340,000.
Suppose Frank owns 8,000 shares of Company X and 6,000 shares of Company Y. The total value of Franks holdings of these two companies is $340,000.
a. Write equations for Bob and Frank's holdings. Use the variables X and Y to represent the values of shares of Company X and Company Y.
b. Solve for the value of a share of Company X and Company Y. Show your work so you can get partial credit even if your final answer is wrong.

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Question 197730: A car rental company has two rental rates. Rate 1 is $35 per day plus $0.16 per mile. Rate 2 is $50 per day and $0.09 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking rate 2?
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Question 197944: What is the length of a room that is 2 meters longer than it is wide and the perimeter is 24? This is not from the textbook
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Question 198061: Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a, b, and c.
a. f(x) = x + 5
b. f(x) = 3 if x>2 otherwise f(x) = -2
c. f(x) = 7 if x>0 or f(x) = -7 if x<0 or f(x) = 7 or -7 if x = 0

Click here to see answer by solver91311(5072) About Me 

Question 198057: Suppose Bob owns 2,000 shares of Company X and 10,000 shares of Company Y. The total value of Bob's holdings of these two companies is $340,000.
Suppose Frank owns 8,000 shares of Company X and 6,000 shares of Company Y. The total value of Franks holdings of these two companies is $340,000.
a. Write equations for Bob and Frank's holdings. Use the variables X and Y to represent the values of shares of Company X and Company Y.
b. Solve for the value of a share of Company X and Company Y. Show your work so you can get partial credit even if your final answer is wrong.
I do not understand how to get "b": solving the value of a share compnay?

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Question 198059: 3. Take a look at the table below and write out an equation for f(x).
x -2 -1 0 1 2
f(x) -2 2 6 10 14
each of these items (x, -2, -1, 0, 1, 2) are suppose to be in a block in the first row of the table and (f(x) , -2, 2, 6, 10, 14 are on the next row of the table. The table just didn't copy over when I cut and pasted.
I am so lost in this algebra class, I don't even know where to begin with this, little alone find an answer. Please answer. Thank you

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Question 198059: 3. Take a look at the table below and write out an equation for f(x).
x -2 -1 0 1 2
f(x) -2 2 6 10 14
each of these items (x, -2, -1, 0, 1, 2) are suppose to be in a block in the first row of the table and (f(x) , -2, 2, 6, 10, 14 are on the next row of the table. The table just didn't copy over when I cut and pasted.
I am so lost in this algebra class, I don't even know where to begin with this, little alone find an answer. Please answer. Thank you

Click here to see answer by solver91311(5072) About Me 

Question 198193: Suppose you have a hot dog stand, and when you charge $1 per hot dog you sell 75 hot dogs. But when you raise your price to $2 you only sell 50 dogs. Write an equation for the number of hot dogs you sell as a function of the price you charge. Use "H" for number of Hot dogs, and "P" for the price you charge for your hot dogs. You can assume the function is linear.
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Question 198209: Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 cups. Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear.
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Question 198216: The sum of two numbers is 33. The greater number is 3 more than the lesser number . Find the numbers.
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Question 198216: The sum of two numbers is 33. The greater number is 3 more than the lesser number . Find the numbers.
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Question 198213: The royalties for the high school play are 250 dollars.Tickets to the play cost 5dollars for students and 8 dollars for nonstudent tickets. What linear inequality describes the number of student and nonstudent tickets that need to be sold so that the drama class can pay the royalties
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Question 198309: A driver notices that after driving 100 miles there are 12.8 gallons of fuel left in her car's tank. After driving 300 miles she notices that there are only 6.4 gallons left in the tank.
A) Determine a linear function that will give the number of gallons left in the tank as a function of the number of miles driven.
B)Based on this model how much fuel does the tank hold?

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Question 198309: A driver notices that after driving 100 miles there are 12.8 gallons of fuel left in her car's tank. After driving 300 miles she notices that there are only 6.4 gallons left in the tank.
A) Determine a linear function that will give the number of gallons left in the tank as a function of the number of miles driven.
B)Based on this model how much fuel does the tank hold?

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Question 198308: The value of a certain car decreases at the rate of 300 dollars each month after being prucahsed new. Suppose that the car is worth $17,000 when it is 2 years old.
A) Determine a linear function that will give the value of the car as a function of months since being purchased.
B)Use this model to determine the value of the car after 4 years.

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Question 198307: The boiling point of water at sea level is 100 degrees Celsius. The boiling point decreases 3.5 degrees for every 1 Kilometer increase in altitude.
A) Determine a linear function that will give the boiling point of water as a function of altitude.

B) Use this model to determine the boiling point of water at 2 Kilometers above sea level.

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Question 198533: 1. A number consist of 2 digits whose is 11. If the digits are interchanged,the value of the number decrease by 20sq.m. Find the length and breadth of the room.
2. If the numerator of a fraction is decreased by 1 its value becomes 2/3, but if the denominator is increased by 5, the value becomes 1/2 . what is the fraction.

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Question 198555: Investing her bonus. Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25% then how much did she invest at each rate?
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Question 198713: Mr. Greene has 8.5 in by 11 in cardboard sheets. As a class project, Mr. Greene asked each of his students to amke an open-top box under these conditions:
I. Each box must be made by cutting small squares from each corner of a cardboard sheet.
II. The box must have a volume of 48 in^3
III. The amount of cardboard waste must be minimized.
What is the appropriate side length for the small squares that would be cut from the cardboard sheet?

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Question 198785: One number is 11 more than twice another number. If the sum of the numbers is twice their difference, find the numbers.
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Question 198956: solve and graph this system of equations
3x - 5y = -9
5x - 6y = -8

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Question 199002: y=2(x-4)^2-2
a. sketch the graph
b. Label the intercepts and vertex
c. Give exact values and show your work

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Question 199008: Solve for X by any method; Show work.
A. 0= 1/4x^2+2x

B. 0= 9x^2-64
C. 0= 6x^2+5x-4

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Question 199007: A parabolic arch has a span of 120 feet and a maximum height of 25 feet. Choose a suitable rectangular coordinate system and find the equation of the parabola. Then calculate the height of the arch 10, 20 and 40 feet from the center. Provide a sketch representing the situation and be sure it is clearly labeled with coordinates.
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Question 199108: The cost of 12 gallons of regular gasoline and 18 gallons of premium gasoline is $44.46. Premium costs $.22 more per gallon than regular. What is the cost per gallon of each type of gasoline?
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Question 199155: 2x < 7 + x
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Question 199306: Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as:
1. Integers
2. Rational numbers
3. Irrational numbers

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Question 199416: Find an equation for which -3 and 4 are solutions.
I am having some concentration problems

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Question 199415: I need to find a equation in which -3 and +4 are solutions.
I am really stumped

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Question 199414: I need to solve for the discriminate and determine the number of solution and classify it for the equation:
square root of 2x^2-4x-7sq root of 2-0
can you help me?

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Question 199357: The perimeter of a rectangle 36m. The width is 18 yd less than twice the length. Find the length and width of the rectangle.



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Question 199518:
Jacque earns $8.60 per hour (h). For overtime (each hour over 40 h) he earns $12.90 per h. If he works 55.5 h in a week, what pay should he receive?

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Question 199530: Kristi jogged for 3/5 of an hour, swam for1/2 of an hour, and rode her bicycle for 3/4 of an hour. How long dis she exercise?
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Question 199611: Problem: The Jurassic Zoo charges $28.00 for each adult admission and $12.00 for each child. The total bill for 454 people from a school trip was $3860.00. How many adults and how many children went to the zoo? how would set this problem up useing polynomials
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Question 199623: An investigator uses forms A, B, C in filling out reports. He uses form B five times as often as form A, and he uses form C three times as often as form B.
If the total number of all forms used in a month equals 735, how many times was form B used?

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Question 199742: Explain in your own words, using the definition of probability why: a) the probability of an event that cannot occur is 0; b) the probability of an event that must occur is 1.
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Question 199839: The second of two numbers is 5 more than twice the first. The sum of the numbers is 44. How do you solve this problem in an equation?
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Question 200148: How do you solve for this equation?
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Question 200360: A jazz concert brought in $191,000 on the sale of 7400 tickets, if tickets were sold for $20 and $30 each, how many of each type of ticket were sold?
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Question 200326: The cross-country teams of East and West run against each other twice each fall. At the first meet, East's score was two thirds of West's score. At the second meet East's score increased by seven points and West's score decreased by seven points. In the second meet West's score was three less than East's score. How many points did Each team score in each meet?
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Question 200464: Using a 30% window cleaner solution, and a 60% window cleaner solution, how many liters of each will be needed to create 80L of 45% window cleaner solution?
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Question 200485: A jeweller has bars of 18 carat gold and 12 carat gold. how much of each must be melted toghter to obtain a bar of 16 carat gold, weighting 120 gm? Given pure gold is 24 carat.
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Question 200406: A boat took 5 hours to travel 60 kilometers up a river against a current. The return trip took 3 hours .Find the speed of the boat in still water and the speed of the current.

Solve the linear system
x-2/3 + y+1/5 = 2
x+2/7 - y+5/3 = -2

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Question 200496This question is from textbook Elementary and Intermediate Algebra
: Venture capital. Henry invested $12,000 in a new
restaurant. When the restaurant was sold two years
later, he received $27,000. Find his average annual
return by solving the equation 12,000(1 + r)2 =
27,000.
This question is from textbook Elementary and Intermediate Algebra

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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