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

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Question 181972: I need this turned into a linear equation and cant seem to do it!!! I really appreciate any help i can get thank you!!!
The nature center sells bird seed for .75 cents per pound and sunflower seed for $1.10 per pound. To the nearest pound how many pounds of sunflower seed should be used to create a 50-pound mixture that sells for .90 cents per pound??
Thanks a whole lot for your help!!!
Click here to see answer by stanbon(57953)

Question 181964: Please help me with this problem:
In the Olympics, the Canadian team won a total of 22 medals, consisting of gold, silver, and bronze. There were five fewer gold medals than bronze, and 3 fewer bronze than silver medals. How many gold, silver, and bronze medals did Canada win?
Click here to see answer by stanbon(57953)

Question 181973: I really hate word problems please please help!!! This one also needs to be in linear equation format Thank you sooo much!!!
A pharmacist has two decongestants, one containing 0.8% pseudoephedrine HCI the other containing 1.4% of the ame substance. A prescription calls for a decongestant containing 1.1% pseudoephedrine HCI. How much of each should be used to produce 4 ounces of a 1.1% solution????
Click here to see answer by Alan3354(31509)

Question 182096: The sum of two numbers is the same as four times the smaller number. If twice the larger is decreased by the smaller, the result is 30. Find the numbers.
Click here to see answer by stanbon(57953)

Question 182020: Determine if the following pairs of functions are inverses of each other; you must show your work that proves your answer:
a. f(x) = 4x and g(x) = 0.25x
b. f(x) = x – 4 and g(x) = 2x + 4

Click here to see answer by eperette(173)

Question 182019: For the following function, determine its inverse f-1. Use the switch and solve strategy:
f(x) = 3x - 8

Click here to see answer by eperette(173)

Question 182022: If we have the following functions:
f(x) = 3x – 2 and g(x) = x2 – 2x find the following:
a. (f ○ g)(1)
b. (g ○ f)(1)
c. (f ○ g)(x)

Click here to see answer by eperette(173)

Question 182136: Martha can rake the leaves in her yard in 8 hours. Her brother can do the job in 2 hours. How long will it take them to do the job working together?
Click here to see answer by tvandenberg(45)

Question 182090: The difference between two numbers is 16. Five times the smaller is the same as 8 less than twice the larger. Find the numbers.
Click here to see answer by J2R2R(94)

Question 182080: hey guys this is a two part problem not doing so great on I could use your help please.
115. Kepler’s third law. According to Kepler’s third law of
planetary motion, the ratio t^2/r^3
has the same value for every
planet in our solar system. R is the average radius of the
orbit of the planet measured in astronomical units (AU),
and T is the number of years it takes for one complete
orbit of the sun. Jupiter orbits the sun in 11.86 years with
an average radius of 5.2 AU, whereas Saturn orbits the
sun in 29.46 years. Find the average radius of the orbit
of Saturn. (One AU is the distance from the earth to
the sun.)
116. Orbit of Venus. If the average radius of the orbit of Venus
is 0.723 AU, then how many years does it take for Venus
to complete one orbit of the sun? Use the information in question115

Click here to see answer by ankor@dixie-net.com(15746)

Question 182316: If f(x)=2x^2-7x+3, find:
a) f(2)
answer:
show our work here?

b) f(-3)
answer:
show your work here:
Click here to see answer by mastermath(14)

Question 182436: a rental car agency charges a flat fee of $32.00 plus $3.00 per day to rent a certain car.Another agency charges a fee of $32.50 plus $3.25 per day to rent the same car.Write a system of equations to represent the cost c for renting a car at each agency for d days.
Click here to see answer by Mathtut(3670)

Question 182346: A man is carrying rice on a journey. He passes through three custom stations. At the first he gives 1/3 of his rice; at the second he is allowed to keep 1/3 of what is left; and at the third, he gives up 1/4 of what remains. After passing through all three custom stations, he has 6 pounds less than he started with. How much rice ded he have when he started?
Click here to see answer by ankor@dixie-net.com(15746)

Question 182486: a passenger train leaves a train depot 2 h after a frieght train leaves the same depot. the frieght train is traveling 20 mph slower than the passenger train. find the rate of each train if the passenger train overtakes the freight train in 3 h
Click here to see answer by tvandenberg(45)

Question 182499: One integer is twice another, and their sum is 96. Find the integers.
Click here to see answer by eperette(173)

Question 182696: I've been working on profit equations and am starting to understand, but this one added something new and I don't know how to deal with it.
Question - Rose invested some of her $15,000 in bonds that made a 6% profit and the rest in bonds that made a 10% profit. If the profit on the 10% bonds was $1,000 more than the profit on the 6% bonds, how much did she invest in the 6% bonds?
I think that if x= amount invested on the 6% bonds then
.06x = .10(15,000 -x), but I don't know where to put the extra $1000 profit? Does it even belong in the equation?
I tried .06x = .10+1,000(15,000-x), but that is a mess. Thanks for your help!
Click here to see answer by Mathtut(3670)

Question 182839: I really hope someone can help me solve this equation for I didn't even know where to begin!
-An international phone call costs $2.00 for the first 3 min, plus $0.30 per minute for each minute or fractional part of a minute after the first 3 min. If x represents the number of minutes of the length of the call after the first 3 min, then 2 + 0.30x represents the cost of the call. If Jorge has $5.60 to spend on a call, what is the maximum total time he can use the phone?
Thanks for the help!
Click here to see answer by nerdybill(7003)

Question 183018: A company has a work force of 21 men that produces two types of top end cabinets.
Cabinet A is limited to 150 cabinets per day
Takes 6 person days to produce 100
Has a profit of 1800 per 100
Cabinet B is limited to 200 cabinets per day
Requires 9 person days to produce 100
Has a profit of 2400 per 100
I'm really struggling to find the algebraic formula. I've tried spreading the staff across both products and calculating the man hours available and required etc but I just seem to go in circles.
I know I need 3 Lines on my graph so 3 constraints are required as otherwise the feasible domain wont be found but I'm still going in circles.
Any help will be greatly appreciated.
Click here to see answer by josmiceli(9817)

Question 183069: HELP!!!! Ive been trying to solve this most irritating word problem and I cant manage to find the 3rd equation. The Problem is ....
COFFEE. A coffee manufacturer sells a 10-pound package of coffee that consists of three flavors of coffee, vanilla flavored coffee costs $2/pound,Hazelnut costs $2.50/pound, and french roast cost $3/pound. The package contains the same amount of Hazelnut coffee as French roast coffee. The cost of the 10-pound package is $26. How many pounds of each type of coffee are in the package?

I labeled the equation as:
x- pounds of Vanilla flavored coffee
y- pounds of Hazelnut flavored coffee
z-pounds of French Roast flavored coffee
x + y + Z = 10
2x + 2.50y + 3z = $26
-Now if I can only manage to get the third variable Id be in good shape, BUT I just dont get it! What am I doing wrong???
Click here to see answer by jim_thompson5910(28704)

Question 183098: A boat traveled 210 miles downstream and back. The trip downstream too 10 hours. The trip back took 70 hours. What is the speed of the boat in still water? What is the speed of the current?
Click here to see answer by checkley77(12569)

Question 183138: The price of unleaded regular gasoline varies with the price per barrel of oil on the world market. When oil was selling for $30 per barrel I paid $1.25 per gallon for gasoline. When oil was selling for $140 per barrel, I paid $4.00 for a gallon of gasoline.

Click here to see answer by Alan3354(31509)

Question 183226: The difference of two numbers is 3. Their sum is 13. Find the numbers.
Click here to see answer by stanbon(57953)

Question 183259: the biology club budgeted $200 for their pancake breakfast. each meal costs $1.50 to prepare. write and inequality that represents the number of meals that can be prepared without going over the budget.
Click here to see answer by stanbon(57953)

Question 183216: a farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 80ft of fence? What should the dimensions of the garden be to give this area?
Click here to see answer by edjones(7569)

Question 183265: you have $5 to spend on fruit for a picnic. apples cost $0.99 per pound and bananas cost $0.49 per pound. write an inequality to model the amounts of apples and bananas you can buy
Click here to see answer by josmiceli(9817)

Question 183611: you are on your way to the market with 8 chickens. when you get to the market the buyer tells you that he will only take all chickens that have the same weight. you know that all but 1 chicken weighs the same. you take the 8 chickens to the scales in the market, and notice you only have enough money to use the scales twice. using these scales only twice, how do you find the lighter chicken?
Click here to see answer by ptaylor(2052)

Question 183765: The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat.
The cost of cultivating corn and wheat is $42 and $30 pre acre respectively.
Mr.Johnson has $18,600 available for cultivating these corp.
If he used all the land and entire budget,how many acres of each crop should he plant?
Click here to see answer by math_il(6)

Question 183781: A jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that had a 2-hour head start. How far from the starting point are the planes?
Click here to see answer by stanbon(57953)

Question 183877: suppose you could spend $10 every minute, night and day. How much could you spend in a year (assume there are 365 days in a year ) I think this should be easy but I am stuck .
Click here to see answer by Mathtut(3670)

Question 183875: The sign says you are leaving missoula , Butte is 120 miles away and Bozeman is 200 miles away. There is a rest stop halfway between Butte and Bozeman. How far is the rest stop from Missoula. Is it 160 not sure ? Thank you
Click here to see answer by tvandenberg(45)

Question 183990: A monthly magazine is hiring reporters to cover school events and local events. In each magazine, the managing editor wants at least 4 reporters covering local news and at least 1 reporter covering school news. The budget allows not more than 9 different reporters' articles to be in one magazine. Graph the region that shows the possible combinations of local and school events.
I'd understand if you could not display the graph, but what I really need are the coordinates.
Click here to see answer by stanbon(57953)

Question 184164: hey all I am trying to help my sis with some math I think its logic but its going over my head can you please help.
A total of 129 players entered a sigle ellimination handball tournament.in the first round of play, the top seeded player received a bye and the remaining 128 players played in 64 matches. thus, 65 players entered the second round of play . how many matches must be played to determine the tournament champion?
Click here to see answer by jim_thompson5910(28704)

Question 184163: A plane flies 900km with a tail wind in 3 hours. The same plane takes 4 hours to make the return trip against the wind. What is the speed of the plane in still air?
Click here to see answer by ptaylor(2052)

Question 184042: can you explain this problem with steps and answer.
The Area of a rectangle is 24ft. its 5 feet longer than its wide. find its width.
Click here to see answer by checkley77(12569)

Question 184195: The sum of three consecutive even numbers is 150. Find the numbers.

Click here to see answer by user_dude2008(1861)

Question 184197: The perimeter of a swimming pool is 96m. The width is 3m more than half the length of the pool. Find the length and breadth of the pool.

Click here to see answer by user_dude2008(1861)

Question 184250: Student Council wants to rent a banquet hall for the prom. Caesar's charges $800 to rent the room and $30 for each meal. Venus Hall charges $500 to rent the room and $35 for each meal. How many guests must attend the prom for the costs of the two halls to be the same?
Click here to see answer by checkley77(12569)

Question 184248: Explain why you might need to multiply each equation by a different number when solving a system by Elimination. Explain why.
Click here to see answer by jeselle(2)

Question 184244: Karim took 7 hours to drive 680km. The first part of the trip, he drove at 80km/h. He then increased his speed by 30km/h for the remainder of the trip. How far did he drive at each speed?
Click here to see answer by PoCTo(1)

Question 184332: A lion eats one sheep in 4 hours, a leopard eats one sheep in 5 hours, and a bear eats one sheep in 6 hours. How long would it take the three animals together to eat one sheep? HINT: How much of one sheep do they eat together in one hour?
Click here to see answer by Alan3354(31509)

Question 184327: A man will be three times as old as his son will be in nine years. If he is six times as old as his son is now, how old is the SON? .
What I have come up with is as follows.
3n+9 = 6n
But I am not positvie this equations even works, thanks for the help.
Click here to see answer by scott8148(6628)

Question 184339: a) The sales representative here tells you they also have two floor plans available, but they only have 38 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively
b) The representative tells you that floor plan #1 sells for $175,000 and floor plan #2 sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in part a
c) Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.

Click here to see answer by stanbon(57953)

Question 184354: This is on page 542 number 9
The question is Find an equation of the line containing the point(5,4) and perpendicular to the line 2x - 4y = 12
I tried to solve this and this is how I did it
2x - 4y = 12
-2x -2x
-4y = -2x + 12
then i divided both side by -4
y = 4/2x + -3
so then I plugged that in to the next equation
y - 4 = 4/2(x - 5)
y - 4 = 4/2x -20/5
then I added 4 to both sides
y = 4/2x - 0
I got this wrong and I do not understand how I did it wrong can you please try to help me?
Click here to see answer by solver91311(17072)

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