Tutors Answer Your Questions about Linear Algebra (FREE)
Question 481275: 1- Two cyclists start biking from a trail’s start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches the first from the time the second cyclist started biking?
2- Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
3- John is travelling to a meeting that is 28 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?
Click here to see answer by ankor@dixie-net.com(22740)   |
Question 483452: A rectangular table can be be set against one wall of a room, as shown, so that it is 5 feet from the two side walls and 8 feet from the fourth wall. If the perimeter of the room is 58 feet and the combined length of the three exposed sides of the table is 17.5 feet, then what are the dimensions of the table?
Click here to see answer by ankor@dixie-net.com(22740) |
Question 485104: I have a story problem I can't figure out. Can you help me and show me the steps to solve it? Thanks you. The speed of a moving walkway is about 4.5 feet per second. Walking on the moving walkway, it takes Karen a total of 20 seconds to travel 45 feet with the movement of the walkway and then back again against the movement of the walkway. What is Karen's normal walking speed?
Click here to see answer by ankor@dixie-net.com(22740) |
Question 485924: Two executives in cities 400 miles apart drive to a business meeting at a location on the line between their cities. They met after 4 hours. Find the speed of each car if one travels 20 miles per hour faster than the other.
Click here to see answer by htmentor(1343)  |
Question 486605: Can you please help me with those problems???
1. Suppose that
|a - b| + |b - c| + |c - d| + ... + |x - y| + |y - z| + |z - a| = 20:
What is the maximum possible value of |a - b|? What is the maximum possible value of |a - n|?
2. For what constants k does the equation
k2^x + 2^-x = 3 have only one real solution x?
3. How many positive integers n satisfy square root of n equal to 5.
Thank you very much for your help!!!!
Click here to see answer by chessace(471)  |
Question 486642: Should I add all the numbers on the chart to get my total?
An online retailer started had a sale that lasted five days. The line graph below shows how many people visited the site on each day of the sale. Approximately how many people visited the site during the sale? Assume that people who visited on more than one day were only counted once.
day 1, 20,000
day 2, 25,000
day 3, 30,000
day 5, 25,000
Click here to see answer by chessace(471) |
Question 487277: Пlease help me with those questions!!!
1. Find all triples (x; y; z) of positive integers such that x < y < z and
(1/x)-(1/xy)-(1/xyz)=19/9
2. Show that from any five integers, one can always choose three of these integers such that their sum is divisible by 3.
Thank you very much!!!
Click here to see answer by richard1234(7193)  |
Question 490180: My daughter is frustrated in Algebra II (well all math in general that is). She was given homework in which I cannot assist her with; It's been about 25-years for me. I was good at it, but need a refresher in order to assist her. Here is a simple graphing problem:
y = x - 2
y = -2x + 7
Her book seems to miss some of the steps and I don't remember what to do. According to the answers at the back of the book her graph was in error on one of the positive lines (on the x axis she began at -7). What is the correct way to solve this simple problem?
Click here to see answer by Earlsdon(6294) |
Question 490180: My daughter is frustrated in Algebra II (well all math in general that is). She was given homework in which I cannot assist her with; It's been about 25-years for me. I was good at it, but need a refresher in order to assist her. Here is a simple graphing problem:
y = x - 2
y = -2x + 7
Her book seems to miss some of the steps and I don't remember what to do. According to the answers at the back of the book her graph was in error on one of the positive lines (on the x axis she began at -7). What is the correct way to solve this simple problem?
Click here to see answer by josmiceli(19441)  |
Question 491974: We had a seat work in class in which the instructions was to write an equation of a linear function given the following conditions:
the first was Given a slope and intercept..
My final answer was in the form y= mx + b but my teacher made it wrong. she told us that it must be in the form ax + by = c. I scanned my notes to make sure that what i am telling is right. I found out that my teacher gave us a seatwork in whch the given equations were in the form y= mx + b and the instructions was " Rewrite the following linear functions in standard form."
Please help me, what should I do? Are my answers correct or wrong?
Click here to see answer by Theo(13342)  |
Question 491974: We had a seat work in class in which the instructions was to write an equation of a linear function given the following conditions:
the first was Given a slope and intercept..
My final answer was in the form y= mx + b but my teacher made it wrong. she told us that it must be in the form ax + by = c. I scanned my notes to make sure that what i am telling is right. I found out that my teacher gave us a seatwork in whch the given equations were in the form y= mx + b and the instructions was " Rewrite the following linear functions in standard form."
Please help me, what should I do? Are my answers correct or wrong?
Click here to see answer by richard1234(7193) |
Question 486936: Can you please help me? Can you give me answers to those problems and explain how to solve them? Thanks a lot!!!!
1. For each of the of the following parts, fi nd the inverse or explain why it does not exist.
(a) The inverse of 7 modulo 13.
(b) The inverse of 8 modulo 35.
(c) The inverse of 3 modulo 100.
(d) The inverse of 15 modulo 18.
(e) The inverse of 42 modulo 43.
2. Solve the following congruences:
(a) 7x == 8 (mod 13).
(b) 8x == 20 (mod 35).
(c) 3x == 75 (mod 100).
Thank you very much!!!
Click here to see answer by kunlex dy(1)  |
Question 494682: Hi! I am currently enrolled in an Algebra II class, and I am having trouble with figuring out how to solve an equation, due to an absence regarding sports.
The problems are as follows:
Solve for x. Assume that a,b,c, and d represent positive real numbers.
1. |ax|-b=c
2. |cx-d|=ab
3. a|bx-c|=d
Thanking you in advance for your help.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 495140: Dwayne has a newspaper route for which he collects "k" dollars each day. From this amount he pays out "k/3" dollars per day for the cost of the papers, and he saves the rest of the money. In terms of "k", how many days will it take Dwayne to save $1000?
Thanks for your help!
Click here to see answer by ankor@dixie-net.com(22740) |
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