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

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Question 344386: a parabola with x=0 as its axis of symmetry has a y-0intercept of 6. One of its x-intercept is 3. Write an equation for the parabola.
Click here to see answer by Fombitz(13828)

Question 344622: The average salary for computer programmers is &7740 less than twice the average salary for carpenters. Combined, their average salaries are 99,000. Determine the average salary for each of these jobs. The answer according to the back of the book is: carpenters $35580 Computer programmers, $64420. How do you work this problem?
Click here to see answer by nerdybill(6958)

Question 344715: I need help with word problems. The first one is: You can paint a certain room in 5 hours. Your brother can do it in 2 hours. How long does it take the two of you working together?
I thought that by adding 5 and 2 and then dividing that by 2 would give me the correct amount, but this is wrong. thank you.

Click here to see answer by nerdybill(6958)

Question 344660: Brenda and her husband Randy bicycled cross-country together. one morning,Brenda rode 30 miles. By traveling only 5 miles per hour and putting one more hour, Randy covered twice the distance Brenda covered. what was the speed of each cyclist. show the solution.
Click here to see answer by ankor@dixie-net.com(15649)

Question 344841: Sean has taken three exams and earned scores of 77, 72, and 85 out of a possible 100 points. He needs an average of at least 80 to earn a B in the class. What range of scores on the fourth (and last) 100 point test will guarantee a B in the class.
Click here to see answer by checkley77(12569)

Question 344998: Two years ago Alice was 3 times as old as Margo is now. In six years Alice will be 5 times as old as Margo is now. Currently, how old are Alice and Margo?
Click here to see answer by mananth(12270)

Question 344982: A movie theater charges $ 8 for adults and $ 5 for seniors. On a particular day when 325 people paid an admission, the total receipts were $ 2569. Round your answers to the nearest integers.
How many who paid were adults?
How many who paid were seniors?

Click here to see answer by mananth(12270)

Question 344980: Phyllis invested 64000 dollars, a portion earning a simple interest rate of 5 percent per year and the rest earning a rate of 6 percent per year. After one year the total interest earned on these investments was 3470 dollars. How much money did she invest at each rate?
At rate 5 percent :
At rate 6 percent :

Click here to see answer by mananth(12270)

Question 345137: 20 hens housed in 3 pens will hatch 30 eggs in 80 days. How long will it take 30 hens in 4 pens to hatch the same number of eggs?

A roofer takess 12 hours to shingle a roof alone.The roofer and his apprentice work 3 hours,then the roofer quits. The apprentice takes another 12 hours to finish the roof. How long would it take the apprentice alone?
Click here to see answer by ankor@dixie-net.com(15649)

Question 345209: A woman's $15,000 is to be divided so that her husband receives twice as much as her son. Find the amount of money that her husband receives and the amount of money that her son receives.
This is what I have and I am not sure if it is right or not? x divided by 15,000. Please help me solve this word problem.
Thank you so much
Marcy Ostrander
Click here to see answer by solver91311(16877)

Question 345367: A 45 foot speaker wire is to be cut into three pieces. One piece is to be 15 feet long. Of the remaining pieces, one must be 2 feet less than 3 times the length of the other. Find the length of the shorter piece.
Click here to see answer by mananth(12270)

Question 345393: Cream is about 22% butterfat and low-fat milk is about 2% butterfat. How many gallons of cream must be mixed with 18 gallons of low fat milk to make whole milk that contains 4% butterfat?
Click here to see answer by stanbon(57307)

Question 345384: An elephant herd is moving at a rate of 6 mph. a stray ran at 10mph and caught up in five minutes. How long(in hours) did the stray run to catch up and how far did it run?

Click here to see answer by Fombitz(13828)

Question 345625: Norton has at most 6 more vests than Ralph, but he has at least 1 more than twice as many vests as Ralph. How many vests could Norton have?
Click here to see answer by solver91311(16877)

Question 345476: A and B run at constant velocities along a circular track. The circumference of the track is 1320 meters. If they run in opposite directions, they meet every 2 minutes; if they run in the same direction, they are together every 22 minutes. Find their velocities.
Click here to see answer by ankor@dixie-net.com(15649)

Question 345746: At 25% off, a stereo costs $465. What was the original price?
Click here to see answer by rfer(12657)

Question 345682: a rectangular field whose length is 10 meters longer than its width is to be enclosed with exactly 100 meters of fencing materials. What are the dimensions of the field?

I got L= 2w+100 and nothing for with. I really don't get it. Please help me.
Click here to see answer by scott8148(6628)

Question 346052: A cyclist leaves his training base for a morning workout, riding at the rate of 20 mph. One hour later, his support staff leaves the base in a car going 36 mph in the same direction. How long will it take the support staff to catch up with the cyclist once the car leaves the base?

Click here to see answer by mananth(12270)

Question 346149: Mario earned three times as much money last year as his wife Elena. The total amount that the two earned was $11,000. How much money did Elena earn?
Click here to see answer by solver91311(16877)

Question 346023: It takes 12 seconds for two trains to pass one another when moving in opposite directions. If they are in the same direction, it will take the faster train 3 minutes to pass the slower one. If the trains are 130 meters and 120 meters long, respectively, what are the rates of the two trains?
Click here to see answer by ankor@dixie-net.com(15649)

Question 346028: A marksman fires at a target 420 meters away and hears the bullet strike 2 seconds after he pulled the trigger. An observer 525 meters away from the target and 455 meters from the marks man hears the bullet strike the target 1 second after he hears the report of the rifle. Find the velocity of the bullet and the velocity of the sound.
Click here to see answer by ankor@dixie-net.com(15649)

Question 346141: prize budget is 36,000.
each trip to bahamas is 800.
each dvd is 200.
twice amount of bahamas trips as dvds given away.
how many of each prize should be give away?
Click here to see answer by nyc_function(2733)

Question 346361: Please help me with my homework. I am not quite sure on what approach or formula do i need to use for these problems. I am confused. Thanks for all that you do..
1. Basketball teamlost 40% of its first 40 games. how many of its remaining 20 games must it win to raise its winning percentage to 65%?
2. The sum of 3 numbers is 94, if the first number is 3/5 of the second number and the second number is 4/3 of the third. What are the three numbers?
3. In one bag of chicken feeds, there are 24 chickens eating it in 45 days. In how many days do 15 chickens consume the feeds?

Click here to see answer by ankor@dixie-net.com(15649)

Question 346581: sum of money at a simple interest amounted to P7800 in 5 years and to P8840 in 9 years. Find the principal and the rate.
Click here to see answer by Theo(3458)

Question 346584: A piece of work can be done by A,B and C working together in 4 days. it can also be finished if A works 2 days; B, 7 days; and C for 5 days. How long will it take each of them to finish the work?
Click here to see answer by Edwin McCravy(8908)

Question 346291: With summer approaching, the number of air conditioners sold is expected to be double that of stoves and refrigerators combined. Stoves sell for $400, refrigerators for $500, and air conditioners for $600, and sales of $16,500 are expected. If stoves and refrigerators sell in equal numbers, how many of each appliance should be stocked?
Click here to see answer by nyc_function(2733)

Question 346583: The amounts (by weight) of gold, silver, and lead in three alloys of these metals are in the ratio 4:3:2 in the first alloy, 3:5:1 in the second, and 2:2:5 in the third. It is desired to make an alloy containing equal amounts (by weight) of gold, silver, and lead. How many ounces of each alloy should be used for every 10 ounces of the new mixture?
thanks........
Click here to see answer by jrfrunner(365)

Question 346579: . A man left A at 6:00 a.m. expecting to reach B at 9:00 a.m. But after walking one hour, he was delayed for half an hour and so he had to increase his rate by 1 mile per hour to reach B at 9:00 a.m. Find his speed before the delay and the distance between A and B.
thanks..
Click here to see answer by ankor@dixie-net.com(15649)

Question 346697: Can you help me solve this problem - |x+4|<6. Thank you.
Click here to see answer by jim_thompson5910(28593)

Question 346691: Need you help please - A number such that 54 more than one-half the number is twice the number.
Click here to see answer by solver91311(16877)

Question 346694: Can you help me write x is more than 7 units from 3 as an absolute value inequality? Thank you.
Click here to see answer by jrfrunner(365)

Question 346739: Solve for x: 2 3x + 5 = 256 Is the answer -1, 0 or 1
Click here to see answer by solver91311(16877)

Question 346740: i need help with this word problems
you decide to ride the elevator to street level (floor 0)without pushing any bottons.The elevator takesyou up 4 floors down 6 floors up 1 floor and then down 6 floors to street level.Write an equation to find your starting floor
Click here to see answer by solver91311(16877)

Question 347029: Joelle walks to a store at 4.5MPH. She meets her friend and walks back at 3mph. Total walking time is 1 hour. How long did it take to walk to the store? What is the distance to the store?
Click here to see answer by mananth(12270)

Question 347021: what multiplier should be used for each of the following equations to eliminate one unknown by subtraction? 3x-y=7, 2x+7y=42.
A.)7 for the first equation, 1 for the second
B.)6 for the first equation, 7 for the second
C.)3 for the first equation, 2 for the second
D.)2 for the first equation, 3 for the second
Click here to see answer by edjones(7569)

Question 347044: 1. If 2/3 of employees of a company are women and 1/4 of the remaining employees are married and the rest are 9 bachelors. What is the total number of employees?
2. How would you divide $40 between two student in the ratio of 3 is to 5?
3. Ice placed in an ice box 15% of its weight before being used. How many tons of ice must be placed in an ice boxes so as to have 850 tons for use?

Click here to see answer by edjones(7569)

Question 347078: Take a look at the table below and compute an equation for f(x).
x -3 -2 1 3 4

f(x) 0 3 12 18 21

Click here to see answer by stanbon(57307)

Question 347077: Which of the following are functions? Explain your reasoning for a, b, and c. Keep the definition of a function strongly in mind as you do this problem, it is not nearly as difficult as it may look. Think about whether the relationship between f(x) and x is consistent with being a function or not and explain your reasoning. Problems b & c are multi part relations so consider all parts when deteriming if they are funcitons.
a. f(x) = x 8
b. f(x) = 45 if x>2 otherwise f(x) = -4
c. f(x) = 4 if x>0 or f(x) = -4 if x<0 or f(x) = 4 or -4 if x = 0

Click here to see answer by stanbon(57307)

Question 347200: Solve the system of equations
3x + y = 1
-x + 2y = 9
The answer to this problem is a.(1, 4) or b.(-1, 4)
Some say a some say b. Can someone tell me which is the correct answer and why?
Click here to see answer by Fombitz(13828)

Question 347245: Anne and Nancy use a metal alloy that is 20% copper to make jewelry. How many ounces of a 14% alloy and a 24% alloy must be mixed to form 100 ounces of the desired alloy?
Click here to see answer by stanbon(57307)

Question 347400: Help. My Grade 7 daughter a a math question that seems to require a linear equation, but they haven`t studied it. How can I help her with this: If there are 399 students in a class, and each shakes hands with everyone else, how many handshakes will there be.
Click here to see answer by scott8148(6628)

Question 347682: in 1994, the life expectancy of males in a certain country was 62.6 years. In 2001, it was 65.2 years. Let E represent the life expectancy in year t and let t represent the number of years since 1994. Could someone help me solve this question by step by step? Thank you!!!
Click here to see answer by josmiceli(9671)

Question 347353: suppose you invested 10,000$, part at 6% annual interest and the rest at 9% annual intrest. if you recived 684$ in intrest after one year, how much did you invest at each rate?
Click here to see answer by scott8148(6628)

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