Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)
Question 86599: Solve the following word problems. Be sure to show the equation you use for the solution
56) Science and medicine. A bus leaves a station at 1 P.M., traveling west at an average rate of 44 mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses by 274 mi apart?
Click here to see answer by stanbon(57412)  |
Question 86664: Amy wants to fence in a garden whose length is 2m more than twice its width . What is the greatest width her garden can be, if she has at most 70 m of fencing?
I set it up like this but am not sure if it is right or how to finish it: let w = width
2w + 2 = length
lw < 70
(2w +2) (w) < 70
2w squared + 2w - 70 < 0
Thank you for your help!
Click here to see answer by scott8148(6628)  |
Question 87111: Hopefully this is in the correct area:
CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Crane came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Crane insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one grain of wheat on the first square. Then place two grains of wheat on the next square. Then place four grains on the third square. Continue this until all 64 squares are covered with grains of wheat.” As he had just harvested his wheat, Mr. Crane did not consider this much of an award, but he soon realized he made a miscalculation on the amount of wheat involved.
a) How much wheat would Mr. Crane have to put on the 24th square?
Answer:
b) How much total grain would the traveling salesman receive if the checkerboard only had 24 squares?
Answer:
c) Calculate the amount of wheat necessary to fill the whole checkerboard (64 squares). How much wheat would the farmer need to give the salesman? Please provide the answer in either scientific notation, or calculate and show all 20 digits.
Answer:
Click here to see answer by jim_thompson5910(28598) |
Question 87146: the denominator of a fraction exceeds the numerator by 1. If 4 is added to the numerator and 3 is subtracted from the denominator, the result is 7. Find the original fraction.
I'm getting x+4/(x+1)-3. Is this even right and if it is what do I do now?
Click here to see answer by Earlsdon(6287) |
Question 87708: The equation h=-16t^2+112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft.
Click here to see answer by tutorcecilia(2152)  |
Question 87754: a truck can be rented from Basic Rental for $50 per day plus $0.20 per mile. Continental chargers $20 per day plus $0.50 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Basic Rental better deal than Continenal's?
Click here to see answer by stanbon(57412) |
Question 87794: the cost of a long distance telephone call is 36 cents for the 1st minute and 21 cents for each additional minute or portion thereof. write an inequality representing the number of minutes a person could talk without exceeding $3.
the length of a rectangular playing field is 5 feet less than twice its width. if the perimeter of the playing field is 230 feet find the length and width of the field.
Click here to see answer by malakumar_kos@yahoo.com(315) |
Question 87618: there are 850 douglas fir and ponderosa pine trees in a section of the forest brought by sawz logging company. the company paid an average of $300 for each douglas pine and $250 for each ponderosa pine. if the company paid $217,500 for the tress how many of each kind did the company buy?
Click here to see answer by stanbon(57412) |
Question 88017: A manufacturer produces both two-slice and four-slice toasters. The two-slice
toaster takes 6 h of labor to produce and the four-slice toaster 10 h. The labor available
is limited to 300 h per week, and the total production capacity is 40 toasters
per week. Write a system of inequalities representing this situation. Then, draw a
graph of the feasible region, given these conditions, in which x is the number of
two-slice toasters and y is the number of four-slice toasters.
Click here to see answer by ankor@dixie-net.com(15663)  |
Question 88946: How would I solve this?
Thank You
Adult tickets for a play cost $4 and child tickets cost $1. If there were 23 people at a performance and the theater collected $80 from ticket sales, how many children attended the play?
Click here to see answer by tutor_paul(490)  |
Question 88938: In most businesses, increasing prices of products can negatively impact the number of customers. A bus company in a small town has an average number of riders of 800 per day. The bus company charges $2.25 for a ride. They conducted a survey of their customers and found that they will lose approximately 40 customers per day for each $.25 increase in fare.
a) Let the number of riders be a function of the fare charged. Graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), and find the slope of the graph.
Graph:
Graph Type:
What is the slope of the graph?
b) The bus company has determined that even if they set the price very low, there is a maximum number of riders permitted each day. If the price is $0 (free), how many riders are permitted each day?
Answer:
Show work in this space:
c) If the bus company sets the price too high, no one will be willing to ride the bus. Beginning at what ticket price will no one be willing to ride the bus?
Answer:
Show work in this space:
Click here to see answer by ankor@dixie-net.com(15663) |
Question 89194: Please help with this construction word problem--
A garden area is 30ft.long and 20 ft. wide. A path of uniform width is set around the edge. If the remaining garden area is 400 ft., what is the width of the path?
Thank you!
Click here to see answer by ptaylor(2048)  |
Question 89377: a) Set up an equation for the perimeter involving only L, the length of the rectangle. Suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 50.
b)Solve this equation algebraically to find the length of the rectangle. Find the width as well
Click here to see answer by checkley75(3666) |
Question 90316: Please help me- I cannot get this I have tried to get you help a few times on this. I am getting nowhere. please please help. Thank you
Suppose you wanted to construct a fence around a garden plot in the form of a rectangle. On the neighbor’s side it’s going to need heavy-duty fencing that costs $2.00 per foot. The other three sides can be made of standard fencing material that costs $1.20 foot. You have $200 to spend.
1. How many different rectangles would it be possible to enclose for $200?
2. Write an equation using two variables for the total cost of the fence. Use x and y to represent the width and length of the rectangle. Solve the equation for one of the variables (either x or y).
3. Given that Area = (x)(y), now write the area function for this problem using ONLY ONE VARIABLE (by making a substitution using the equation from #2).
4. What dimensions will give the maximum area inside the fence?
5. What will be the maximum area?
Click here to see answer by stanbon(57412) |
Question 90544: 1.) The length of a rectangular playing feild is 5ft less than twice it's width. If the perimeter of the playing feild is 230ft, what is the length and width of the feild?
2.) A bicyclist rode into the country for 5h. In returning, her speed was 5 mi/h faster and the trip took 4h. What was her speed each way?
3.) A bus leaves the station at 1pm, traveling west at an average rate of 44 mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart?
I have completed assignment of 20 questions and these 3 questions I can't figure out. I appreciate the time it takes you to figure these problems out. I am stumped!
Thank you,
JBatie
Click here to see answer by checkley75(3666) |
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