Tutors Answer Your Questions about Linear-systems (FREE)
Question 147346: Hi I need help with this word problem. I can not get what the 3rd equation should be. Here is the problem: Adult tickets to a movie theater cost $7.25 for adults, $6.25 for senior citizens and $5.00 for children. Over the weekend the theater sold 355 tickets and had a revenue of $2133.75. It is known there were twice as many children's tickets sold as there were senior citizen tickets sold. How many of each ticket were sold?
This is as far as I could get.
Adult Senior citizens Children
x + Y + Z = 355
7.25x + 6.25y + 5.00Z = 2133.75
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 147355: Hi, I dont know what Im doing wrong I need help please. Here is the question: One year ago you invested $4300 into three accounts that earn 3.25%, 4%, and 5.75% annual interest. The interest you earned after one year is $193. You remembered you invested three times as much in the 4% account than you did the 3.25% account. How much did you invest in each type of account? This is what i have so far, I dont think its right.
x + y + Z = 4300
325x + 400Y + 575z = 19300
Y=3x
x + (3x) + Z = 4300
4x + z = 4300
325x + 400 (3x) + z =19300
1525x +575z = 19300
(-575) 4x + z = 4300 (-575)
-2300x - 575z =-2472500
1525x + 575z = 19300
-775x = -2453200
x=3165.4 then when I do 3 times x to get y it doesnt fit with the total of 4300. I dont know please help me thank you.
Click here to see answer by vleith(2983) |
Question 147355: Hi, I dont know what Im doing wrong I need help please. Here is the question: One year ago you invested $4300 into three accounts that earn 3.25%, 4%, and 5.75% annual interest. The interest you earned after one year is $193. You remembered you invested three times as much in the 4% account than you did the 3.25% account. How much did you invest in each type of account? This is what i have so far, I dont think its right.
x + y + Z = 4300
325x + 400Y + 575z = 19300
Y=3x
x + (3x) + Z = 4300
4x + z = 4300
325x + 400 (3x) + z =19300
1525x +575z = 19300
(-575) 4x + z = 4300 (-575)
-2300x - 575z =-2472500
1525x + 575z = 19300
-775x = -2453200
x=3165.4 then when I do 3 times x to get y it doesnt fit with the total of 4300. I dont know please help me thank you.
Click here to see answer by checkley77(12844) |
Question 147364: Hi, I dont know what Im doing wrong I need help please. Here is the question: One year ago you invested $4300 into three accounts that earn 3.25%, 4%, and 5.75% annual interest. The interest you earned after one year is $193. You remembered you invested three times as much in the 4% account than you did the 3.25% account. How much did you invest in each type of account? This is what i have so far, I dont think its right.
x + y + Z = 4300
325x + 400Y + 575z = 19300
Y=3x
x + (3x) + Z = 4300
4x + z = 4300
325x + 400 (3x) + z =19300
1525x +575z = 19300
(-575) 4x + z = 4300 (-575)
-2300x - 575z =-2472500
1525x + 575z = 19300
-775x = -2453200
x=3165.4 then when I do 3 times x to get y it doesnt fit with the total of 4300. I dont know please help me thank you.
Click here to see answer by stanbon(75887) |
Question 148123: I am trying to solve the following system of linear equation.
x/4 - y/11 = -9/44
x/6 - y/13 = -1/26
Now i am familiar with the methods of solving these types of problems, such as addition method and substitution method, but when it comes to fractions, I'm lost.
When you solve, would it be possible to explain each step.
Thanks for all your help.
Click here to see answer by jim_thompson5910(35256) |
Question 148128: Sheri drove southeast from Albuquerque to Roswell and then south to Carlsbad. She averaged 75 MPH along the route from Albuquerque to Roswell and averaged 70 MPH from Roswell to Carlsbad. She covered the entire 220 miles in 3 hours. How long did she take to drive from Albuquerque to Roswell?
I started by making a table
DISTANCE RATE TIME
270 75 3hrs
270 70 3hrs
but the problems that I was coming up with did not make sense to me. Am I going about thie correctly?
Click here to see answer by vleith(2983) |
Question 148128: Sheri drove southeast from Albuquerque to Roswell and then south to Carlsbad. She averaged 75 MPH along the route from Albuquerque to Roswell and averaged 70 MPH from Roswell to Carlsbad. She covered the entire 220 miles in 3 hours. How long did she take to drive from Albuquerque to Roswell?
I started by making a table
DISTANCE RATE TIME
270 75 3hrs
270 70 3hrs
but the problems that I was coming up with did not make sense to me. Am I going about thie correctly?
Click here to see answer by checkley77(12844) |
Question 148200: You are sliding a big cabinet down a truck ramp for a customer. You must maintain control of the cabinet because it is very heavy. There are 2 ramps in the building.
The equation of ramp 1 is y = 2x + 7 and the equation of ramp 2 is y = 3 x + 7. Which is the safest ramp to slide the cabinet down without losing control and why?
Click here to see answer by jim_thompson5910(35256) |
Question 148273: Could you please help me with this problem. I am supposed to use a system of equations to solve this question.
A chemist needs 10 liters of a 60% alcohol solution. She has 30% and 80% alcohol solutions available to mix. How many liters of each need to be mixed to obtain 10 liters of a 60% alcohol solution?
Thank you very much!
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 148274: Could you please help me with this problem. I am supposed to use a system of equations to solve this question.
I have 30 coins worth $6.00. The coins are quarters and dimes. How many of each do I have?
Thank you very much!
Click here to see answer by Alan3354(69443)  |
Question 148280: 1. in interval notation, what is the range of F(x)=2x^3-4x-7 (i'm thinking that this range cannot be determined, am i correct.)
2. which of the following is a line perpendicular to y=_x+4 y=_x-_, y=2x-4,y=2x-_, or y=-2x
3. what is the slope of the line that passes through(-4,-2) and the origin
M=_, B=_, M=-_ or insufficient information given
4. two lines are parallel if m1=(-m2)-1, m1=-m2, m1=m2, or none of the above (i'm thinking none of the above is this correct)
5.f(x+h)-f(x) is this the numerator of the different quotient
Click here to see answer by stanbon(75887) |
Question 148345: What is the slope and y-intercept of the line represented by the equation
y = (3/8)x - 5?
slope = 3/8, y-intercept = 5
slope = 5, y-intercept = 3/8
slope = 3/8, y-intercept = -5
slope = -5, y-intercept = 3/8
Click here to see answer by Earlsdon(6294) |
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