Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)


Question 72383: I submitted this problem quite a few days ago and did not get a response. I am resubmitting in hopes to get some help.
Solve the following word problem. Be sure to show the equation you use for the solution.
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 be 274 mi apart?
This is what I have so far.
1st bus leaves=1pm travels west at 44 mi/h
2nd bus leaves=2pm travels east at 48 mi/h
274 miles apart

Click here to see answer by bucky(2189) About Me 
Question 72383: I submitted this problem quite a few days ago and did not get a response. I am resubmitting in hopes to get some help.
Solve the following word problem. Be sure to show the equation you use for the solution.
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 be 274 mi apart?
This is what I have so far.
1st bus leaves=1pm travels west at 44 mi/h
2nd bus leaves=2pm travels east at 48 mi/h
274 miles apart

Click here to see answer by jim_thompson5910(28717) About Me 

Question 72448: I submitted this quite a few days ago and I thought I would resubmit it just in case I messed up or something.
Solve the following application.
Business and finance. The electricity costs of a business decreased from $12,000 one year to $10,920 the next. What is the rate of decrease?
This is what I have done so far.
12,000-10920=1080
Now I need to find the rate at which it decreased.
I am lost please help?

Click here to see answer by Edwin McCravy(8999) About Me 

Question 72451: Hello, all! I submitted this problem a few days ago and was wondering if anyone had a chance to look at it. You are all so busy I don't want to nag.
Criticize the following claims which were cited in the New York Times of September 25, 1987 and October 21, 1987:
a) A new dental rinse "reduces plaque on teeth by over 300%"
b) An airline working to decrease lost baggage has already improved 100% in the last six months"
c) "If interest rates drop from 10% to 5%, that is a 100% reduction."

Click here to see answer by funmath(2925) About Me 

Question 72420: tuition for 2007 is 7% more than the price of tuition last year than it was in 2006. If tuition for 2007 was 13910 how much did it cost in 2006?
Click here to see answer by rcmcc(152) About Me 

Question 72442: Criticize the following claims, which were cited in the New York Times of September 25, 1987 and October 21, 1987:
a) A new dental rinse "reduces plaque on teeth by over 300%"
b) An airline working to decrease lost baggage has "already improved 100% in the last six months."
c) "If interest rates drop from 10% to 5%, that is a 100% reduction."

Click here to see answer by stanbon(57984) About Me 

Question 72419: during the early 1990's kelly invested 8000 into two different types of accounts within a bank certificates of deposit and savings account. For her accounts she received 8% interest for her certificates of deposit and 6% for her savings account. In total she earned 580 for the yeat. How much money was invested in each type of account?
Click here to see answer by bam878s(77) About Me 

Question 72489: If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes
Click here to see answer by pradhyumna.kumar@gmail.com(62) About Me 

Question 72562: Hi, I am working on this problem, am stuck and would appreciate help!
Constructing an open box
An open box with a square base is required to have volume of 10 cubic ft.
a) Express the amount A of material used to make such a box as a function of the length x of a side of the square base.
b) How much material is required for a base 1 foot by 1 foot?
c) How much material is required for a base 2 feet by 2 feet?
d) Graph A=A%28x%29. For what value of x is A smallest?
Thanks for your help!
Jodi

Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 72605: One week, the low temperature on Tuesday was one more than four times the low on Monday, and the low on Wednesday was ten more than the low on Monday. If the sum of all three low temperatures is 35, what was the low temperatures for each of the three days.
Click here to see answer by ptaylor(2052) About Me 

Question 72624: The government of a developing country is implementing a new reading program in which each individual who can read spends one year teaching two others to read. At the end of the year, the original individual can stop, but each of the two people who just learned to read must now spend a year teaching two more people to read. If 1,000 people can read at the start of the program, how many people will be able to read at the end of 10 years?
Click here to see answer by don vito(18) About Me 

Question 72629: Solve and show work.
At 1:00 p.m., a car leaves a city and travels north at a rate of 55 mi/h. An hour later, a second car leaves the city and travels south at a rate of 60 mi/hr. At what time will the two cars be 285 miles apart?

Click here to see answer by Edwin McCravy(8999) About Me 

Question 72760: Solving with equalities
I don't understand how to put this into an equation to solve:
College Course Load To remain on financial aid, Millie needs to complete an average of at least 7 credits per quarter each year. In the first three quarters of 2001, Millie completed 5,7, and 8 credits. How many credits of course work must Millie complete in the fourth quarter if she is to remain on financial aid?

Click here to see answer by ptaylor(2052) About Me 

Question 72825: set up and splve in a triangle the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 20 degrees less than the second angle. What us the measure of each angle?
Click here to see answer by jim_thompson5910(28717) About Me 

Question 72903: At the Speedy Gas and Go, a car wash costs $3.00, and gasoline is selling for $2.50 a gallon. Holly Lam has $17.25 to spend, and she must have her car washed. What is the maximum number of gallons of gasoline she can purchase?
Click here to see answer by jim_thompson5910(28717) About Me 

Question 72940: Please help me solve this, Thanks
Adult tickets for a play cost $9 and child tickets cost $8. If there were 23 people at a performance and the theater collected $193 from ticket sales, how many children attended the play?

Click here to see answer by funmath(2925) About Me 

Question 72956: set up and solve: There are 24 pieces of fruit in a basket. There are twice as many apples as pears. There were four fewer oranges than pears. How many of each fruit were in the basket?
Click here to see answer by funmath(2925) About Me 

Question 72966: the resistance of an electric wire is directly proportional to the length of the wire and inversely proportional to the square of the diameter. Write a formula expressing this property using R for resistance, L for length, and D for diameter.
Click here to see answer by bucky(2189) About Me 

Question 72969: a fast food stand sells muffins and cookies. last monday the ratio of the number of muffins to the number of cookies sold was 16 to 13. a total of 145 muffins and cookies were sold. How many cookies were sold?
Click here to see answer by ptaylor(2052) About Me 

Question 72963: Before the library is remodeled, all of the books must be packed in boxes. Working alone, it will take Gail 15 workdays to do the packing. It would take Rob 18 workdays. How long will it take them working together?

Click here to see answer by Edwin McCravy(8999) About Me 

Question 72968: joe and jenifer are going to wash windows. working alone, it would take jenifer 4 hours to was the windows. it would take joe 3 hours to wash the windows by himself. how long will it take then to wash the windows working together?
Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 72965: Used by itself, the cold water faucet can fill a bathtub in 12 minutes. It takes 15 minutes for the hot water faucet to fill the bathtub. If both faucets are on, how long will it take to fill the bathtub?(round to the nearest .01 minute)
Click here to see answer by ptaylor(2052) About Me 

Question 72967: the ratio of roses to carnations that a florist ordered was 3 to 4. If the florist received a total of 441 flowers, how many of those were roses?
Click here to see answer by funmath(2925) About Me 

Question 72955: set up and solve: a stock broker bought stocks and laater sold them for $5136. If this broker made a 7% profit, how much did the stocks originaly cost?
Click here to see answer by checkley75(3666) About Me 

Question 72964: the mass of an object varies jointly within its density and its volume. If 156 grams of iron has a volume of 20 cm^3 and a density of 7.8 gm/cm^3, what is the volume of 312 grams of iron with the same density?
Answer:(blank)cu.cm.

Click here to see answer by bucky(2189) About Me 
Question 72964: the mass of an object varies jointly within its density and its volume. If 156 grams of iron has a volume of 20 cm^3 and a density of 7.8 gm/cm^3, what is the volume of 312 grams of iron with the same density?
Answer:(blank)cu.cm.

Click here to see answer by stanbon(57984) About Me 

Question 73021: A small company produces both standard and deluxe playhouses. The standard playhouses take 12 hours of labor to produce, and the deluxe playhouses take 20 hours. The labor available is limited to 800 hours per week, and the total production capacity is 50 items per week. Existing orders require the company to produce at least 10 standard playhouses and 15 deluxe playhouses per week. Write a system of inequalities representing this situation, where x is the number of standard playhouses and y is the number of deluxe playhouses. Then graph the system of inequalities.
Click here to see answer by stanbon(57984) About Me 

Question 73052: Jody earns $140 more per month that Frank. If their monthly salaries total $2760, what amount does each earn?
Click here to see answer by jim_thompson5910(28717) About Me 

Question 73051: The Randolphs used 12 more gallons of fuel in October than in September and twice as much oil in November as in September. If they used 132 gallons for the three months, how much was used during each month?
Click here to see answer by mathman409(67) About Me 

Question 73050: Yuri has a board that is 98 in. long.He wishes to cut the board into two pieces so that one piece will be 10 in. longer that the other. What should the legth of each piece be?
Click here to see answer by jim_thompson5910(28717) About Me 
Question 73050: Yuri has a board that is 98 in. long.He wishes to cut the board into two pieces so that one piece will be 10 in. longer that the other. What should the legth of each piece be?
Click here to see answer by mathman409(67) About Me 

Question 73113: Can you please help me on this word problem...the profit on a watch is given by p=x^2-13x-80, where x is the number of watches sold per day. how many watches were sold on a day when there was a $50 loss.
Click here to see answer by Earlsdon(6294) About Me 

Question 73363: Clyde has 26 coins altogether consisting of dimes and nickels. If he receives 2 more nickels but loses on third of his dimes, he will have $1.70. How many dimes does he start with?
Click here to see answer by ptaylor(2052) About Me 

Question 73402: OK, new problem.
Sally bought three choclate bars and a pack of gum and paid $1.75. Jake bought two choclate bars and four packs of gum and paid $2.00. Find the cost of a choclate bar and a pack of gum.
I think the format for this goes like this but I am not sure I am right. I would put the x/choclate bars and y/gum for each then work it out for each right? Help!!!

Click here to see answer by jim_thompson5910(28717) About Me 

Question 73411: 1) An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
Answer



b) Graph this function and show the graph over the valid range of the variable x..
Show Graph here



c) Using the graph, what is the value of x that will produce the maximum volume?
Answer

Click here to see answer by jim_thompson5910(28717) About Me 
Question 73411: 1) An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
Answer



b) Graph this function and show the graph over the valid range of the variable x..
Show Graph here



c) Using the graph, what is the value of x that will produce the maximum volume?
Answer

Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 73434: okay here is the exact question
sam and mary each owned one-half stock in a printing company. Sam sold 2/3 of his stock to mary. What fractional part of the printing business does mary now own?
i took 2/3 of 1/2 which is a third and then added the third and half to get 5/6 ths.. i can not figure out how to come up with 7/10 ths. trying to go back to school and this is on the practice test they give you
thanks in advance mikey

Click here to see answer by bucky(2189) About Me 

Question 73616: I am having a real hard time with this word problem. Thanks.
A semicircular window of radius 15 inches is to be laminated with a sunblock coating that costs $0.85 per square inch to apply. What is the total cost of coating the window, to the nearest cent? (Use p = 3.14. Hint: Area of Circle: A = pr²)

Click here to see answer by joyofmath(189) About Me 

Question 73617: Can anyone help with this word problem...Thank you.
For a holiday party, Marcus is making a seven-layer torte, which consists of seven 9-inch diameter cake layers with a cream topping on each layer. He knows that one recipe of cream will cover 65 square inches of cake. How many batches of the topping must he make to complete his torte? (Use p = 3.14 as an approximate value)

Click here to see answer by bucky(2189) About Me 

Question 73712: Solve for all values of b that make the trinomial a perfect square.
9-bx+9x^2

Click here to see answer by checkley75(3666) About Me 

Question 73743: the height of a tower is 68 ft more than three times a side of its square base. if the sum of these two dimesions is 1380 feet, find the height of the tower.
Help!!!! any clue????
Thanks in advance

Click here to see answer by jim_thompson5910(28717) About Me 
Question 73743: the height of a tower is 68 ft more than three times a side of its square base. if the sum of these two dimesions is 1380 feet, find the height of the tower.
Help!!!! any clue????
Thanks in advance

Click here to see answer by bucky(2189) About Me 

Question 73670: A penalty kick in soccer is made from a penalty mark that is 36 ft form a goal that is 8 ft high. A possible equation for the flight of a penalty kick is h= -0.002x^2 + 0.35x where h is the height (in feet) of the ball x feet from the penalty mark. Assuming that the flight of the kick is toward the goal and that it is not touched by the goalie, will the ball land in the net?
Click here to see answer by ankor@dixie-net.com(15747) About Me 

Question 73675: My 15 year old daughter is having some difficulty with this as it will be on her mid-term! Can you please help her? Thank you:)

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 Brown came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Brown 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 penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies.” As he’d been saving pennies for over 25 years, Mr. Brown did not consider this much of an award, but soon realized he made a miscalculation on the amount of money involved.

a) How much money expressed in dollars would Mr. Brown have to put on the 32nd square?
Answer:
Show work in this space



b) How much money expressed in dollars would the traveling salesman receive in total if the checkerboard only had 32 squares?
Answer:
Show work in this space



c) Calculate the amount of money necessary to fill the whole checkerboard (64 squares). How money expressed in dollars would the farmer need to give the salesman?
Answer:
Show work in this space

Click here to see answer by bucky(2189) About Me 

Question 73714: I know this isn't really a word problem but I wasn't sure where this would go
(z+3)/(z+5)=(z-2)/(z-5)

Click here to see answer by checkley75(3666) About Me 

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