Tutors Answer Your Questions about Linear-systems (FREE)
Question 121229: One number is 4 more than another. If 6 times the smaller minus 4 times the larger is 4, what are the two numbers?
Second question the length of a rectangle is 5in more than twice the width. If the perimeter of the rectangle is 76 in what are the two dimensions of the rectangle?
I understand the examples of similar problems and why the answers are correct but when I do them I'm placing the equations the wrong way and not understanding why. Would greatly appreciate any help in this matter.
Click here to see answer by stanbon(75887)  |
Question 121349: What is the difference between "you need to have less than 4 buckets" and "you need at most 4 buckets"? This question is very simple, but I don't know how to express it the proper way. How would you express the answer to this problem or am I making this to complicated? Greatly appreciate an assist. Thanks
Click here to see answer by Edwin McCravy(20055)  |
Question 121541: I have tried to figure out how to properly graph this problem however, when I looked at the answer already provided and what I had come up with became confused because they did not seem to match. x-2y=8 and 3x-2y=12. Here is what I have worked out so far.
x-2y = 8
-2y = -x + 8
y = x/2 - 4
y intercept: (0, -4)
slope: 1/2
3x-2y = 12
-2y = -3x + 12
y = 3x/2 - 6
y intercept: (0, -6)
slope: 3/2
I assume I would graph with the following points (0,-4) and (4,0) for the second one I assumed I would graph the following points (0,-6) (6,0). I think I have confused the actual points in which I am to graph. Could you please tell me if I am graphing the correct points? I do not have the ISBN for this book becasue it is an online class. Thanks and have a great day!!
Click here to see answer by Fombitz(32388)  |
Question 121541: I have tried to figure out how to properly graph this problem however, when I looked at the answer already provided and what I had come up with became confused because they did not seem to match. x-2y=8 and 3x-2y=12. Here is what I have worked out so far.
x-2y = 8
-2y = -x + 8
y = x/2 - 4
y intercept: (0, -4)
slope: 1/2
3x-2y = 12
-2y = -3x + 12
y = 3x/2 - 6
y intercept: (0, -6)
slope: 3/2
I assume I would graph with the following points (0,-4) and (4,0) for the second one I assumed I would graph the following points (0,-6) (6,0). I think I have confused the actual points in which I am to graph. Could you please tell me if I am graphing the correct points? I do not have the ISBN for this book becasue it is an online class. Thanks and have a great day!!
Click here to see answer by algebrapro18(249) |
Question 121596: Given the points: A (1,1) B (8,12) and C (12,3).
1. Find the perimeter of Triangle ABC. (Using the distance formula).
2. Find the equation of line AB.
3. Find the equation of altitude CD.
4. Find the intersection of line AB and line CD, this is point D (__,__).
5. Find the length of line segment AB (using distance formula).
6. Find the length of line segment CD (using distance formula).
7. Find the area of triangle ABC.
Please help with solving these problems. I am trying to help my daughter and I understand algebra, but not these problems. Thank you very much. I need to see the work, so I can explain to her.
Click here to see answer by algebrapro18(249) |
Question 122041: Solve each of the following systems of linear inequalities graphically.
3x-y ≤ 6
x ≥1
y ≤ 3
I would truly appreciate it if someone could help me out with this. I believe I may be making it harder than it is and I have completely confused myself. Thank you so much for taking the time to help!!
Click here to see answer by solver91311(24713)  |
Question 122443: The drama club sold 800 tickets to their spring play. Floor seats cost $10 each & balcony seats cost $8 each. Ticket sales were $7440. How many floor seat tickets were sold?
please help me!
Click here to see answer by gems(12) |
Question 122299: At the market you purchase some apples and oranges. There were 12 items purchased. You buy twice as many apples as oranges.
a. Define the variables.
b. Write an algebraic equation using one variable for the above situation.
c. Solve this equation for the number of apples and oranges you purchase
Please, I really need help on this one!
Click here to see answer by stanbon(75887) |
Question 122772: Filling a swimming pool
Two hoses are used to fill a swiming pool. If the first runs for 3h and the second for 2h, the pool will contain 1190 L of water. But if the first one is used for 2h and the second one for 3h, the pool will contain 1260 L.
a)represent this situation by a system of equations.
b)what is the flow rate of each hose?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 122773: How old are they?
If Christine's and Martine's ages are added, the total is 51 years. If Christine were 6 years older and Martine were 3 years younger, the two women would be the same age.
a)represent this situation by system of equations.
b)how old are the two women?
Click here to see answer by ankor@dixie-net.com(22740) |
Question 122845: I struggle with word problems and I am really struggling with these two. If someone could please help me understand these I would be very grateful. I have been working on these two problems for 2 days and I believe I am confusing myself due to the nature of the problem. Thanks!!
Question 1
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.
Question 2
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.
Click here to see answer by ankor@dixie-net.com(22740) |
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