Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)
Question 72152: A team is eliminated from the Central Indiana Women's Basketball Tournament when it loses a game. If there are 30 teams playing in the tournament, how many games will need to be played to determine a champion?
Click here to see answer by josmiceli(9686)   |
Question 72757: An electrician, carpenter, and a plumber are hired to work on a house. They are paid the following: elec. $20.00 per hour, carpenter $25.00 per hour, and the plumber $30.00 per hour. They worked a total of 23.25 hrs and earned a total of 571.25. If the electrician worked 4.75 hours more than the carpenter, how many hours did the plumber work?
Click here to see answer by rmromero(383) |
Question 72934: 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(57374) |
Question 73036: A tourist agency can sell up to 1200 travel packages for a football game. The package includes airfare, weekend accommodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight can carry up to 150 passengers, and the two-stop flight can carry up to 100 passengers. The agency can locate no more than 10 planes for the travel packages. Each package with nonstop flight sells for $1200, and each package with a two-stop flight sells for $900. Assume that each plane will carry the maximum number of passengers. How do you suppose to graph this feasible region? What is the coordinates of the vertices of the feasible region?
Click here to see answer by stanbon(57374) |
Question 73053: I have only 3 questions like this
The amount of a radioactive tracer remaining after t days is given by A = AO e-0.18t, where A0 is the starting amount at the beginning of the time period. How much should be acquired now to have 40 grams remaining after 3 days?
47.9
48.8
61.6
68.6
please teach me through this. Thank you
Click here to see answer by jim_thompson5910(28595) |
Question 73053: I have only 3 questions like this
The amount of a radioactive tracer remaining after t days is given by A = AO e-0.18t, where A0 is the starting amount at the beginning of the time period. How much should be acquired now to have 40 grams remaining after 3 days?
47.9
48.8
61.6
68.6
please teach me through this. Thank you
Click here to see answer by bucky(2189) |
Question 73053: I have only 3 questions like this
The amount of a radioactive tracer remaining after t days is given by A = AO e-0.18t, where A0 is the starting amount at the beginning of the time period. How much should be acquired now to have 40 grams remaining after 3 days?
47.9
48.8
61.6
68.6
please teach me through this. Thank you
Click here to see answer by ankor@dixie-net.com(15656)  |
Question 73060: A tourist agency can sell up to 1200 travel packages for a football game. The package includes airfare, weekend accommodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight can carry up to 150 passengers, and the two-stop flight can carry up to 100 passengers. The agency can locate no more than 10 planes for the travel packages. Each package with nonstop flight sells for $1200, and each package with a two-stop flight sells for $900. Assume that each plane will carry the maximum number of passengers. What is the linear inequalities to represent the constraints?How would you graph it and how would it look? What are the coordinates of the vertices of the febsible region?
Click here to see answer by stanbon(57374) |
Question 73077: A tourist agency can sell up to 1200 travel packages for a football game. The package includes airfare, weekend accommodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight can carry up to 150 passengers, and the two-stop flight can carry up to 100 passengers. The agency can locate no more than 10 planes for the travel packages. Each package with nonstop flight sells for $1200, and each package with a two-stop flight sells for $900. Assume that each plane will carry the maximum number of passengers.What is the system of inequlities? Can you show me the feasbile region on a graph? What is the objective function minimized or maximized? What is the coordinate of the vertices of the feasible region?
Click here to see answer by ankor@dixie-net.com(15656) |
Question 73099: I have to create a system of equations from the given word problem and I can't figure out how to do it... the word problem is... As a participant in your schools community service project, you volunteer a total of 40 hours over the course of the school year. Your volunteer hours include serving at a soup kitchen, picking up trash at several local parks, and collecting toys for needy children. You spend 4 times as many hours collecting toys as picking up trash, and 2 hours less serving at the soup kitchen than picking up trash. Write a system of equations to represent the given information. Define your variables as s,p, and c for the hours of serving at a soup kitchen, picking up trash, and collecting toys. Can you help me please?
Click here to see answer by Edwin McCravy(8909)  |
Question 73111: Not too long ago Edwin greatly helped me solve a system of equations from a word problem, it did indeed help me however, i need to now use that system and solve it using the substitution and elimination methods... can u help me?... the system is....
s + p + c = 40
c = 4p
s = p - 2
Click here to see answer by stanbon(57374) |
Question 73111: Not too long ago Edwin greatly helped me solve a system of equations from a word problem, it did indeed help me however, i need to now use that system and solve it using the substitution and elimination methods... can u help me?... the system is....
s + p + c = 40
c = 4p
s = p - 2
Click here to see answer by jim_thompson5910(28595) |
Question 73856: Not sure if this is the right page for this. Can someone help me solve this problem. I'm trying to make head and tails out of it.
5 < 2(a+1)-3(1-a)
What i'm getting is 5 < -1a-1 not sure if right solution
Click here to see answer by funmath(2925) |
Question 73856: Not sure if this is the right page for this. Can someone help me solve this problem. I'm trying to make head and tails out of it.
5 < 2(a+1)-3(1-a)
What i'm getting is 5 < -1a-1 not sure if right solution
Click here to see answer by bucky(2189) |
Question 73854: An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
Answer
b) Graph this function and show the graph over the valid range of the variable x..
Show Graph here
c) Using the graph, what is the value of x that will produce the maximum volume?
Answer
Click here to see answer by ankor@dixie-net.com(15656) |
Question 73828: A total of 434 people attended a community theatre performance. The admission prices were $9.00 for adults, $7.50 for students, and $8.00 for senior citizens. The ticket sales totaled $3712. At the theatre's next board meeting, the finance manager proposed that for the next play they raise prices to $11.00 for adults, $8.50 for students, and $8.50 for senior citizens. He said that if the exact same number of people attend the next performance, the ticket sales would be $4374. How many adults, students, and senior citizens attended the play?
Click here to see answer by Edwin McCravy(8909) |
Question 73828: A total of 434 people attended a community theatre performance. The admission prices were $9.00 for adults, $7.50 for students, and $8.00 for senior citizens. The ticket sales totaled $3712. At the theatre's next board meeting, the finance manager proposed that for the next play they raise prices to $11.00 for adults, $8.50 for students, and $8.50 for senior citizens. He said that if the exact same number of people attend the next performance, the ticket sales would be $4374. How many adults, students, and senior citizens attended the play?
Click here to see answer by ankor@dixie-net.com(15656) |
Question 73999: In the 2000-2001 baseball season, the Seattle Mariners tied a league record set by the 1906Chicago Cubs for most wins in a season. The Mainers won 24 more than twice as many games as they lost. They played 162 regular season games. How many wins and losses did the mariners have?
Click here to see answer by bucky(2189) |
Question 74073: At the pico de Gallo Restaurante the dinner specials include combinations of tacos and enchiladas. THe number One special offers 2 tacos and 3 enchiladas for 8.oo. The number 2 special offers 3 tacos and 1 enchilada for 5.70. Find the cost of a taco and a enchilada.
Click here to see answer by stanbon(57374) |
Question 74156: Joe Student wins the lottery! Being a loyal Northwesterner he decides to invest his $13,000 in local companies. He invests part of the principal in Starbuck's stock which gains 7% in value and, sadly, the rest of his winnings on Boeing stock which loses 10% of it's value in one year. At the end of the year Joe's stock has gained $60 in value. How much did he invest in each company?
Click here to see answer by bucky(2189) |
Question 74203: Business and Finance. If the inventor in exercise 53 charges $4 per unit, then her profit for producing and selling x units is given by the function
P(x) = 2.25x-7000
(c) What is the break-even point for sales?
This is exercise 53 below:
Business and Finance. If the inventor of a new product believes that the cost of producing the product is given by the function
C(x)= 1.75 + 7000
How much does it cost to produce 2000 units of her invention?
$10,500
Click here to see answer by jim_thompson5910(28595) |
Question 74201: Business and Finance. If the inventor in exercise 53 charges $4 per unit, then her profit for producing and selling x units is given by the function
P(x) = 2.25x-7000
(a) What is her profit if she sells 2000 units?
This is exercise 53 below:
Business and Finance. If the inventor of a new product believes that the cost of producing the product is given by the function
C(x)= 1.75 + 7000
How much does it cost to produce 2000 units of her invention?
$10,500
Click here to see answer by Poohbear272(22) |
Question 74264: A manufacturer builds racing bikes and mountain bikes, with the per unit manufacturing costs shown in table . The company has bugeted $15,900 for labor and $13,075 for materials .How many bicycles of each type can be built?
model cost of materials cost of labor
racing $55 $60
mountain $70 $90
Click here to see answer by stanbon(57374) |
Question 74531: Please help.
An employee who produces x units per hour earns an hourly wage of y = 0.45x + 11 (in dollars). Find the hourly wage for an employee who produces 14 units per hour.
A) $17.30
B) $17.80
C) $17.00
D) $17.70
Click here to see answer by checkley75(3666) |
Question 74531: Please help.
An employee who produces x units per hour earns an hourly wage of y = 0.45x + 11 (in dollars). Find the hourly wage for an employee who produces 14 units per hour.
A) $17.30
B) $17.80
C) $17.00
D) $17.70
Click here to see answer by funmath(2925) |
Question 74447: A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, sic girls couldn't turn up, so the professor had to make some changes in the group. He admitted 6 boys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in the project initally
Click here to see answer by scott8148(6628)  |
Question 74965: Draw the appropriate graphs in each of the following.
A small firm produces both AM and AM/FM car radios. The AM radios take 15 h
to produce, and the AM/FM radios take 20 h. The number of production hours is
limited to 300 h per week. The plant’s capacity is limited to a total of 18 radios per
week, and existing orders require that at least 4 AM radios and at least 3 AM/FM
radios be produced per week. Write a system of inequalities representing this situation.
Then, draw a graph of the feasible region given these conditions, in which x
is the number of AM radios and y the number of AM/FM radios.
Click here to see answer by ankor@dixie-net.com(15656) |
Question 74961: Solve the following problem. Be sure to show the equation used for the solution.
Social science. In a town election, the winning candidate had 220 more votes
than the loser. If 810 votes were cast in all, how many votes did each candidate receive?
Click here to see answer by ptaylor(2048)  |
Question 75285: Business and finance. The cost for a long-distance telephone call is $.036 for the first minute and $0.21 for each additional minute or portion thereof. Write an inequality representing the number of minutes a person could talk without exceeding $3.
Please help I cannot figure this one out. Here is my inequality so far 36+21+x>3
Click here to see answer by ptaylor(2048) |
Question 75174: The cost for labor associated with fixing a washing machine is computed as follows: There is a fixed charge of $20 for the repairman to come to the house, to which a charge of $22 per hour is added. Find an equation that can be used to determine the labor cost, C(x), of a repair that takes x hours.
Click here to see answer by 303795(595) |
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