Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Question 63876: Please help me figure out how to graph and find the plots for each consultants equation. Here is what you need to know:
The coach of the Women's Olympic Gymnastic Team has a difficult decision to make. A strong contender for the team suffered a sprained knee on July 20, just about one month prior to the Olympic tryouts, and it on the disabled list. It is now just over two weeks later, August 6. The coach needs to decide whether or not to keep the gymnast on the disabled list.
7/20: Miss Tumble was administered a Cybex strength test upon arrival.Her quadriceps of the injured leg measured 55 foot-pounds in extension.
7/25: Daily regimen is showing progress. Cybex test measures 90 foot-pounds.
8/1: Some swelling earlier in the week.General reports of less pain. Cybex test measures 140 foot-pounds.
8/6: Less swelling. Range of motion has shown marked increase. Cybex test measures 185 foot-pounds.
a. Please graph the data above provided by the physical therapist.Let July 20 be represented as Day 1,which makes August 18 Day 30.
Two consultants were hired to advise the coach.
Consultant A said that the function F given by the equation f(x)=40+8x approximated the data well. So consultant A predicted that on August 18(Day 30), Miss Tumble would have 280 foot-pounds of strength and would be strong enough to compete.
Consultant B said the function g given by the equation g(x)=55+6x approximated the data well. So consultant B predicted that on August 18(Day 30), Miss Tumble would have only 235 foot-pounds of strength and would not be strong enough to compete.
b.Sketch each consultant's function on the graph you created in question a above. Use a different color pencil or pen for each graph.
CAN YOU PLEASE HELP ME FIGURE OUT HOW TO FIND THE COORDINATES FOR EACH CONSULTANT USING THEIR EQUATIONS AND HOW DO I GRAPH THEM? I am REALLY getting FRUSTRATED with algebra and I'm upset and confused. Can you PLEASE HELP ME???
Signed,
Confused and Frustrated Algebra Student
Click here to see answer by stanbon(57261)

Question 63963: For a Saturday matinee,adults tickets cost $5.50 while kids under 12 pay only $4.00. If 70 tickets are sold for a total of $310, how many of the tickets were adult tickets and how many were sold to kids under 12? I would greatly appreciate help with being able to understand this problem. I am having alot of trouble in the word problem section of my text, as I am made to learn by only the examples in my book on my own.
Click here to see answer by tutorcecilia(2152)

Question 63966: I am sorry when I put P.S.before a problem number it means "Problem Set" question number 11 and 21. Thank you, I would appreciate it if you could help me to better understand how they arrive at their answers.
Click here to see answer by 303795(595)

Question 63962: A woman invests 4 times as much at 5% as she did at 6%. The total amount of interest she earns in 1 year from both accounts is $520. How much did she invest at each rate?
Click here to see answer by ankor@dixie-net.com(15639)

Question 64151: Theresa sold three different magazine subscribtions for $28,$18,and $27. She sold three fewer of the $28 subscriptions than of the $18 subscriptions and a total of 34 subscriptions. If her total sales wer $819, how many $27 subscriptions did Theresa sell?
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Question 64220: Chapter 4 Review Questions; (23.) The sum of two numbers is 18. If twice the smaller number is 6 more than the larger, find the two numbers. (24.) The difference of two postive numbers is 16. One number is 3 times the other. Find the two numbers.
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Question 64359: Can you help me solve this application?
A particle moves along a straight line according to the formula s=2t^2+t-6, where s represents the distance in inches from the beginning point, and t represents the time in seconds. Find the time (to the nearest hundredth of a second when the particle is 5 incesh from the beginning point.
Thanks
Elizabeth
Click here to see answer by Edwin McCravy(8883)

Question 64866: Write the equation of the line that has a slope of negative 2 and passes through the origin

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Question 65009: 1.ariel has $5.50 in dimes and quaters. she has 8 more quaters than dimes. How many quaters does she have?
2. tenisha and dameisha have the same number of coins. Tenisha has only dimes and dameisha has only quaters. if damiesha has $1.80 more than tenisha does, how much does each have?
Click here to see answer by checkley71(8403)

Question 65193: Will you please help me with this problem?
Write a system of two equations in two unknowns. Solve the system by using the addition method. « Mike paid $2.98 for three doughnuts and two coffees. The next day, he paid $1.64 for two doughnuts and one coffee. How much does it cost for one doughnut and one coffee?
Thank you!
Click here to see answer by ptaylor(2048)

Question 65196: Will you please help me with this problem?
Write a system of two equations in two unknowns. Solve the system by using the addition method. « Mike paid $2.98 for three doughnuts and two coffees. The next day, he paid $1.64 for two doughnuts and one coffee. How much does it cost for one doughnut and one coffee?
Thank you!
Click here to see answer by stanbon(57261)

Question 65214: Please help with this problem?
Solve this absolute value problem.

15 - |2-3x|/2 = 7

Thank you.
Click here to see answer by Nate(3500)

Question 65265: I need help with this. Would you please help!!! I need it tonight.
Write this equation in standard form using only integers.
5x/6 = -3y/4 + 1
Thank you so very much. Your assistance is GREATLY appreciated!

Click here to see answer by stanbon(57261)

Question 65264: Please help with this problem. I am having a terrible time trying to figure it out.
Graph the inequality.

y > 3/2x - 2
Thank you for all your assistance!
Click here to see answer by stanbon(57261)

Question 65674: what is the difference between
3(x –1) + 4 – 2x
3(x-1) +4 = 2x

Click here to see answer by praseenakos@yahoo.com(507)

Question 65673: you are the office manager of r a small company. You need to acquire a new copier for the office. You find a suitable one that leases for $250 a month from the copy machine company. It costs 2.5 cents per copy to run the machine. You purchases paper for $3.50 a ream (500 sheets). If your copying budget is no more than $950 per month, is this machine a good choice? Write a brief recommendation to the purchasing department. Use equations and inequalitities to explain your recommendation.
Click here to see answer by josmiceli(9662)

Question 65854: Hi, here's my question and what I've come up with so far, I think I'm overcomplicating it though.
A rectangular storage unit has dimension 1m by 2m by 3m. If each linear dimension is increased by the same amount:
a) what increase would result in a new storage unit with a volume 10 times its original?
I've come up with:
At this point I'm not sure how to proceed next I tried expanding it to:

I learned about factors recently so I could try finding factors but the only factors of 0 are 0 so I think I'm making a mess of this word problem.
Click here to see answer by funmath(2925)

Question 65879: A 64 inch board is cut into 3 pieces. The second piece is three times as long as the first piece. The third piece is 4 in. longer than the first piece, How long is the shortest piece?
Click here to see answer by Nate(3500)

Question 65961: The directions are use the substitution method to solve the Linear system.
The Problem is: One share of stock A is worth 3 1/2 shares of stock B. If the total value of the stock is $9,000, how much was invested in each company? The equations that I have come up wich are A=3 1/2B and A+B=9,000 i don't know what to do next or if my equations are right. If you have the time please help me figure this problem out. I've worked on it for days and i just can't get it. Thanks.

Click here to see answer by ptaylor(2048)

Question 65960: In a nine inning game, 18 of a baseball team's 27 outs were fly balls. 50% were made by infielders and 100% were made by outfielder.how many outs were made by the in fielders? how amny outs were made by the outfielders?
Click here to see answer by stanbon(57261)

Question 66045: Solve: 5x + 8 + 3x - x + 5 = 6x - 3
Click here to see answer by checkley71(8403)

Question 66039:
one number is 4 less than 3 times a second number. If 3 more than twice the first number is decreased by the second, the result is 11. Find both numbers
please help me i need this tonight!
Click here to see answer by praseenakos@yahoo.com(507)

Question 66084: 2x + 3y =6 (for y)
Click here to see answer by ptaylor(2048)

Question 66109: Courtney has nickels and quarters in her toy bank. She has a total of 52 coins with a total value of $9.20. How many coins of each kind does she have?
Click here to see answer by ptaylor(2048)

Question 66111: Gene earned $264 last week. He worked a total of 44 hours, part at an hourly rate of $5.50 and part at an hourly rate of $8.25. How much did he earn at each rate?
Click here to see answer by ptaylor(2048)

Question 66135: The tens digit of a two-digit number is 2 less than twice the units digit. The number is 17 times the units digit. Find the number.
Click here to see answer by Nate(3500)

Question 66135: The tens digit of a two-digit number is 2 less than twice the units digit. The number is 17 times the units digit. Find the number.
Click here to see answer by stanbon(57261)

Question 66139: One type of gasohol is 10% alcohol and another type is 35% alcohol. How much of each type must be mixed to obtain 400 gallons of a 25% alcohol mixture? Here's what I have so far: 10x+35(25-x)=400 but I don't know if it's right or what to do next.
Click here to see answer by josmiceli(9662)

Question 66138: The sum of the digits of a two-digit number is 7. The tens digit is 7 more than twice the units digit. Find the number.
Click here to see answer by josmiceli(9662)

Question 66110: hey i have this project that is due monday and i was wandering if you could help me out?

G street crosses F street at the point (3,7) and is parallel to D street. Determine the y-intercept point of G street and write the equation of G street.
thanks ALOT!
Click here to see answer by stanbon(57261)

Question 66141: K street has an undefined slope and passes through the point (-10,6) write the equation of K street.
Thanks Alot!
Click here to see answer by stanbon(57261)

Question 66149: A 30% nickel alloy is to be melted with an 80% nickel alloy. How many grams of each must be used to obtain 50 grams of a 50% nickel alloy?
Click here to see answer by josmiceli(9662)

Question 66150: Jim wants to buy a 5-pound mixture of chocolates. If one kind sells for $1.80 per pound and another for $2.30 per pound, how much of each kind can he buy for $10? Here's what I have so far:180x+230(5-x)=1000,but I don't think it's right.
Click here to see answer by ptaylor(2048)

Question 66159: The sum of the digits of a two-digit number is 9. The number is 6 times the units digit. Find the number. So far I have: a+b=9, then a+6B=n and that's as far as I can get.
Click here to see answer by Nate(3500)

Question 66161: The tens digit of a two-digit number is 1 more the twice the units digit. The number is 26 times the units digit. Find the number.
Click here to see answer by Nate(3500)

Question 66155: ok im sorry about all this but to get to the answer to my question i have to tell you other questions

C street has an x-intercept of -8 and a slope of 2. use the x-intercept point to write the equation of c street in point slope form.
Answer: y-0=2(x=8)

D street crosses c street at the point (-10,-4) and is perpendicular to the y-axis. Determine the y-intercept point and write the equation of d street.
and im not sure of the answer for this one

but this is the question i need help with

G street crosses f street at the point (3,7) and is parallel to d street. Determine the y-intercept point of g street and write the equation of g street.

thanks alot!

Click here to see answer by stanbon(57261)

Question 66165: Mr. Samuel has a 10% solution of hydrochloric acid and a 50% solution of hydrochloric acid. How much of each type must be mixed to obtain 60 liters of a 25% solution of hydrochloric acid?
Click here to see answer by checkley71(8403)

Question 66478: 7(3x+4) = 8(2x+5) + 13
Click here to see answer by ptaylor(2048)

Question 66457: 3x-5(3x-7)=2(x+9)+45 what is x?
Click here to see answer by checkley71(8403)

Question 66471: 2(x-3)-3(x+5)=3(x-2)-7
Click here to see answer by ankor@dixie-net.com(15639)

Question 66456: 2(x-3)-3(x+5)=3(x-2)-7 What is x?
Click here to see answer by checkley71(8403)

Question 66455: 7(3x+4)=8(2x+5)+13 What is x?
Click here to see answer by funmath(2925)

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