Tutors Answer Your Questions about Linear-systems (FREE)
Question 110575: i need help with this question
suppose that the length of of a rectangle is 3 inches longer than the width and that the perimeter of the rectangle is 78.
set up an equation involving only L, the length of the rectangle.then solve the equation algebraically to find the length of the rectangle. find the width as well.
please show how you got the answer.
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Click here to see answer by checkley71(8403)  |
Question 110796: OK I have another question that I know I found the answer to but did it the LONG way. Here it is:
A tennis club offers two payment options:
Option1: $35 monthly fee plus $4/hour for court rental
Option 2: No monthly fee but $6.50/hour for court rental.
Let x = hours per month of court rental time.
a) Write a mathematical model representing the total monthly cost, C, in terms of x for the following:
Option 1: C=_________________
Option 2: C=_________________
b) How many hours would you have to rent the court so that the monthly cost of option 1, is less than option 2. Set up an inequality and show your work algebraically using the information in part a.
Answer:
Show your work here:
Now I came up with 15 hours, option a= $95 and option b=$97.50, 14 hours would be equal at $91. The problem is if I showed my work it would take up an entire 2 pages. LOL Thank you for any help you can give me.
Click here to see answer by scott8148(6628)  |
Question 110795: Hi, I have a problem from my College Algebra homework that I need help with. Logically I think I managed to get the answer to Bob's salary for 2008, being $56K, but I am having a problem with the rest. Thank you for your help.
The following graph shows Bob’s salary from the year 2002 to the year 2005. He was hired in the year 2002; therefore t = 0 represents the year 2002.
The left of the graph is: 40000 - 50000 in 2000 increments. The bottom is 0 - 4 in 1 increment. The line is:0=4100; 1=43,5000; 2=46000; 3=48500.
a) List the coordinates of any two points on the graph in (x, y) form.
(___, ___),(___, ___)
b) Find the slope of this line:
Answer:
Show your work here:
c) Find the equation of this line in slope-intercept form.
Answer:
Show or explain your work here:
d) If Bob’s salary trend continued, what would his salary be in the year 2008?
Answer:
Show or explain your work here:
Click here to see answer by scott8148(6628) |
Question 110843: I did this equation but I do not think it is right. Can you check it and if it is wrong can you show me what I did wrong.
4(x - 1) + 2 = 3x + 8 - 2x
this is what I did.
4x - 4 + 2 = 3x + 8 - 2x
-4 + 2= -2 and 3x - 2x + 1x
4x-2 = 1x + 8
subtract 1x from both sides and I got 3x
and add 2 to both sides and I got 10
3x = 10
x= 10/3 = 3 1/3
i do nnot know if this is right?
Click here to see answer by bucky(2189) |
Question 111545: 20-6x= -4(2x-1)+2
and
3(5x-9)-x= -12+4x
i've answered the first problem already but i'd like to see if you end up with the same answer but i seem to not be able to answer the second problem. Thank you for your time and i greatly appreciate your help!
Click here to see answer by brandonpark2889(31) |
Question 111671: please help me solve this
a.calculate the value of the discriminant of x^2+x+3=0
b.by examining the sign of the discriminant in part a, how many x-intercepts would the graph of y=x^2+x+3 have?why?
this is under 1 problem. thank you tutor.
Click here to see answer by Earlsdon(6294) |
Question 111668: 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(22740)  |
Question 111861: Hi-
I have been working on this problem and I think I am doing it right. I am about halfway done if I am doing it correctly.
Solve the system by addition:
2x-4y=7
4x+2y=-1
What I did was multiply the second equation by (2)
(2)(4x+2y=-1)
8x+4y=-2
2x-4y=7
_____________
10x/10 = 5/10
and I come up with
x= 1/2
Is that correct?
If so how do I replace work the problem so that I can solve for y?
I am not certain how to multiply to get rid of the fraction at the bottom?
what should I do next?
Click here to see answer by jim_thompson5910(35256) |
Question 111869: I am working on the following problem and hope I did it right.
Adult tickets for a play cost $15 and child tickets cost $6. If there were 33 people at a performatnce and the theater collected $360 from ticket sales, how many children attended the play?
Let X= Adult tix
Let Y= Child tix
1x+1y=33
15x+6y=360
Then I had to multiply the first equation by 15.
(15)(1x+1y) = 33(15)
15x+15y= 495
Then I had to multiply the other equation by -1
(-1)(15x+6y) =360(-1)
-15x-6y=-360
Then I had to add both equations together.
15x+15y=495
-15x-6y=-360 the result was
9y=135
I divided both sides by 9
and came up with y=15.
Is that correct?
I tried to check my work by inputting
1x+1(15)=33
1x+15=33
then subtracted 15 from both sides and came up with x=18.
When I tried to check my work
15(15) +6(18)this is supposed to =360 and I don't think that came out right.
What did I do wrong?
Thank you.
Tracy
Click here to see answer by checkley71(8403) |
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