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

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Question 608338: the supply and demand equation for a certain product are s=2,500p-14,5000 and d=3,000/p, where p is the price in dollar . find the price supply equals demand,
I have set the equation as following 2,500p -14,5000=3000/p
I multiplied the inverse of 3000p in both sides the result is 2500p^2-14500p=0 so what I should do next to get 6$ as final answer? thanks
Click here to see answer by stanbon(57399)

Question 608387: 500 people shopped at a candy store and spent a total of $500.
The women each spent $1, the men each spent $5, and the children spent 1 cent.
How many men shopped at the store? How many women? How many children?
Click here to see answer by flame8855(424)

Question 608476: The writing skills of high school seniors are different for boys and girls. that average writing test scores for girls are higher than those for boys. A model that best describes the writing test scores (w) for boys is w=-x+140. For girls a good model is w=1/4x+159. In both models x is the number of years after 1998. Assuming these models to be valid for the coming years, when will the aberage scores for girls be 49 points higher than for boys.
Sorry it's so long, but this one is really troubling me.
any help would be much appreciated!
Click here to see answer by stanbon(57399)

Question 608514: club A offers a fee of $15 plus a monthly fee of $27. Club B offers a fee of $21 plus a monthly fee of $26. After how many months will the cost be the same?
Click here to see answer by flame8855(424)

Question 608757: Please help me solve these two problems:
First problem, an instrument store gives a 10% discount to all sutdents off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost?

Second problem, the cost to ride on a ferry is $5.00 per vehicle and driver with an additinal cost of 50 cents per passenger. If the charge to get on the ferry is $6.50, how many people were in the vehicle?
Thank you very much...
Click here to see answer by scott8148(6628)

Question 608787: The half life of a particular radioactive isotape of thorium is 8 minute. Find an exponential decay equation for this isotope of the form y= ae^-kt where t is in minutes.
Click here to see answer by stanbon(57399)

Question 608791: a balloon is secured to rope that is staked to the ground. A breeze blows the ballon so that the rope is taut while the balloon is directly above a flag pole that is 60 feet from where the rope is staked down. Find the altitude of the balloon if the rope is 120 feet long.

Click here to see answer by Alan3354(30993)

Question 608786: The gross domestic product (GDP) of a country was $112 billion in 2001. If the GDP grows a constant rate of 4.3% per year. In what year will the GDP be greater than 200 billion.
Click here to see answer by lwsshak3(6522)

Question 608959: Could someone check my answer for this one-

The formula for measuring drag force on a car is Fd=1/2pv^2ACd where Fd is the drag force measured in Newtons, p is density, v is velocity, A is area and Cd is the drag coefficient. Assuming that all the factors are measured in SI units, what units should Cd have to make the formula dimensionally homogeneous?^
Fd=kgm/s^2
p=kg/m^3
v=m/s
A=m^2
Cd=?
Therefore kg*m/s^2 / 1/2*kg/m^3*m/s*m^2
Cancelling the kg and m^2 and m^3
Seem to leave m / s * 1/2
Does this mean Cd has no units or could I inverse 1/2 and 1/s to make m^s2

Click here to see answer by Alan3354(30993)

Question 609178: Strontium-90 has half life of 28 years. If someone ingests 100 mg. How much will be left when they're so old?
Click here to see answer by ankor@dixie-net.com(15661)

Question 609393: A can do a certain job in 40days which b alone can do it in 30 days .A started the work and was joined by after 19 days .In how many days was the work completed?
Click here to see answer by flame8855(424)

Question 609518: A 16-foot board is to be cut into 4 pieces. Three of the pieces will be the same length, and one piece will be 4 feet longer than the other three.
Which equation could be used to solve for the lengths?
x + x + x + 4x = 16
x + x + x + x - 4 = 16
x + x + x + x = 16 + 4
x + x + x + x + 4 = 16
Click here to see answer by richwmiller(9143)

Question 609493: Can someone help please.
I'm having trouble trying to figure out this word problem.
I'm doing a section from the book called Elimination by Addition Method
Thank you.
A fulcrum is placed so that weights of 60 pounds and 100 pounds are in balance. If 20 pounds is subtracted from the 100 pound weight, then the 60 pound weight must be moved 1 foot closer to the fulcrum to preserve the balance. Find the original distance between the 60 pound and 100 pound weights.
Click here to see answer by scott8148(6628)

Question 609447: A does 3/10 of a work in 6 days .He then calls in B and they finish the work in 7 days more .How long would B take to do the work by himself?

A,B,C working together ,can do a piece of work in 18 days .A can do it alone in 72 days .After working for 6 days ,A fell ill.How long will B and C together take to finish the remaining work?
Click here to see answer by ankor@dixie-net.com(15661)

Question 609586: Joe measured several greeting cards. The ratio of length to width of each card was 4 to 5. Which of the following ratios could NOT be the dimensions of one of cards Joe measured?
A. 16 cm long by 20 cm wide
B. 8 in long by 10 in. wide
C. 6 in. long by 8 in. wide
D. 12 cm long by 15 cm wide
Click here to see answer by solver91311(16897)

Question 609583: John works at a bike shop. He can put together 8 bikes in 6 hours. At this rate, how long will it take to put together 5 bikes? Show the steps needed to answer this question.
Click here to see answer by ankor@dixie-net.com(15661)

Question 609683: there are 340 tickets and three kids the mom wants to split them where james has 40 less than ashley and ashley gets 80 less than amanda how many tickets does each kid get
Click here to see answer by sophxmai(60)

Question 609693: sprinkler pipes are to be placed around a 14-foot by 20-foot rectangular yard. If sprinkeler pipes cost $1.34, what is the total cost for the pipes?
Click here to see answer by Alan3354(30993)

Question 609686: glenn can paint a house in 9 hours while stewart can paint the same house in 16 hours. they work together for 4 hours. after 4 hours stuart left and glenn finished the job alone. how many more hours did it take glen to finish the job?
Click here to see answer by ankor@dixie-net.com(15661)

Question 609795: using the equation r=Kv^-2 when r=16378 and v=4.93 How do I find the value of K?
Click here to see answer by jim_thompson5910(28598)

Question 609841: an isotope of strontium 90 has a half life of 38 years. if you have 500 mg of this isotope today, how many milligrams (to the nearest tenth) will you have in 19 years?
Click here to see answer by nerdybill(6963)

Question 610065: Mr Dulane is planning to invest money to prepare for his retirement. He is going to invest $15,000. If he wants his investment to be worth at least $40,000 in 17 years, what will the yearly rate of appreciation need to be
Click here to see answer by josmiceli(9697)

Question 610088:

Click here to see answer by Alan3354(30993)

Question 610118: if 20 men can make 10 rooms of equal sizes in 18 days. how long will 27 men take to complete 15 rooms of same size?
Click here to see answer by ewatrrr(10682)

Question 610062: A company bought a parcel of land twenty years ago. The land is currently worth $575,000. The yearly appreciation rate has been 3.7%. About how much did the company pay for the land.
Click here to see answer by ankor@dixie-net.com(15661)

Question 610177: Having issues with this problem.
A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results are below. How many are not using any of the three?
29 said they drove alone.
35 rode in a carpool.
30 rode public transportation.
6 used both carpools and public transportation.
5 used both a carpool and sometimes their own cars.
8 used buses as well as their own cars.
3 used all three methods.
Click here to see answer by flame8855(424)

Question 610226: Estimate the amount of words you have typed in your lifetime.
Click here to see answer by Alan3354(30993)

Question 610044: A nurse wanted to have the mean for her employees that she supervises. She knows that the different levels of staff have different salaries. The 12 doctors get paid $300.00 an hour. The 41 nurses get $28.00 an hour. The 23 CNAs get paid $15.00 an hour. Calculate the weighted mean to determine the average salary per hour of all her staff.
Click here to see answer by ankor@dixie-net.com(15661)

Question 610200: Summertime songbird population within the Mid-America flyway is predicted to increase over the next 8 years at the rate of 2% per year. If the songbird population is predicted to reach 55 million in 8 years, how many songbirds are there today? Round up to the nearest million.
Click here to see answer by ankor@dixie-net.com(15661)

Question 609605: PLEASE HELP!!!
An animal clinic kept record of the life spans of certain poodles. The number of years the dogs lived are 8, 10, 12, 15, 17, and 13. What is the standard deviation of the poodle life spans?
Click here to see answer by SwiftAlbatross(13)

Question 610112: A man takes 120 steps a min.if his stride is 75 cm long.find his speed in km/hr
Click here to see answer by ankor@dixie-net.com(15661)

Question 610305: What is the radius of the largest circular quilt that can be made with an area less than or equal to 70 ft squared? Round your answer to the nearest tenth of a foot if necessary.
Click here to see answer by Alan3354(30993)

Question 610351: adjacent sides of a rhombus have lengths (2x+11)cm and (4x+5)cm. Find x and hence find the perimeter of the rhombus
Click here to see answer by flame8855(424)

Question 610354: The sum of two digit number is 7. If 26 is subtracted from the number,the result is twice the unit digit. Find the two digit number
Click here to see answer by lwsshak3(6522)

Question 610385: If a ball is released to a fall down from the top of a building 30 meters high, how many seconds will it take for the ball to reach the ground?
Click here to see answer by stanbon(57399)

Question 610485: Cody bikes for 24 km and the doubles his rate and bikes another 17 km. His total time is 5 hours. What was Cody's faster rate?
I have tired using the chart but I still can't get it. Help would be very much appreciated :)
Click here to see answer by Alan3354(30993)

Question 610500: Bob's Burger Barn sold 495 hamburgers today. The number sold with cheese was 6 less than twice the number sold without cheese. How many hamburgers with cheese were sold and how many without cheese were sold?
This is what I came up with so far : (2w - 6) + c = 495, but still couldn't find the answer.
Click here to see answer by scott8148(6628)

Question 610525: A rectangle has the dimensions 1080/x^2-5x+6 by x-2/x. If the area is 20 units^2, find the value(s) for x.
I got 1060/x(x-3) but I don't think that is right. Help would be greatly appreciated!
Click here to see answer by stanbon(57399)

Question 610840: Assume you have a deck of well shuffled cards. What is the probability of being dealt four black cards off the top? Is this scenario representative of dependent or independent events?
I feel that there is not enough information.. Please help... I am just not understanding this
Click here to see answer by solver91311(16897)

Question 611003: wirte as rate: 66 boys to 55 girls
Click here to see answer by ashipm01(26)

Question 611357: please help me answer the following word problem:
12 less than 25 times the square of a number is 157. find the numbers.
THANKS!!! also please show me how you did it!!
Click here to see answer by ewatrrr(10682)

Question 611354: please help me answer the following problem:
the length of a rectangle is 5cm greater than 3 times its width. the area of the rectangle is 22cm^2. find the length and the width of the rectangle.
thanks so much i don't know how o set it up and the steps for doing it!!!! thanks!!!
Click here to see answer by josmiceli(9697)

Question 611502: If 50,000 sheets of paper print per hour how many prints per second? And how do you solve it?
Click here to see answer by Cherish7(7)

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