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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 383999: how much solution must be removed from 50ml of 30% acid solution and replaced with pure water to produce a 20% solution?
Click here to see answer by scott8148(6628)

Question 384063: I greatly NEED some help URGENTLY with this problem. i tried to do it forever but i dont get it so would somebody PLEASE HELP ME! I REALLY NEED A QUICK ANSWER. THANK YOU!
Lesson 4�4
Two loan balances can be approximated by the equations given in the table. The time x is in years. i will separate things in table with a (/)
Loan Amount / Interest rate / Years / Equation
$200,000 / 7% / 20 yrs / y= -9,734.7x + 218,761
$250,000 / 6.25% / 15 yrs / y= -16,474x + 266,478

1)Use Matrices and the inverse matrix to find when the loan balances will be approximately the same for the two loans before the final payment is made.
2)What will the approximate balance of each loan be at that time?
3)Why might your estimate of the time when the loan balances will be the same be somewhat inaccurate?
THANK YOU SO MUCH IN ADVANCE!

Click here to see answer by Theo(13342)

Question 383941: Together two pipes can fill a vat in 9 hours 36 minuters,if the longer pipe takes 8 hours less than the smaller pipe does how long does it take the smaller pipe to fill the vat?
Click here to see answer by ankor@dixie-net.com(22740)

Question 384255: The pressure reading coming out of a pump is 164 lb. It is estimated that every 50-ft section of hose reduces the pressure by 7 lb. What will the estimate pressure be at the nozzle end of nine 50-ft. sections.?
Click here to see answer by rfer(16322)

Question 384263: The elevation at one of a lot is 184.25 ft, and the elevation at the other end is 98.03 ft. Express the difference in elevation in feet and inches and round to the nearest 1/8 in.
Click here to see answer by rfer(16322)

Question 384268: A 614 page book was printed on paper specified as 0.00175 in. thick and finished with a cover 0.165 in. thick. What was the total thickness of the bound book?
Click here to see answer by rfer(16322)

Question 384267: Hello, I need some help with a word problem:
A drama club is planning a bus trip to NYC to see a Broadway play. The cost per person for the bus rental varies inversely as the number of people going on the trip. It will cost $31 per person if 50 people go on the trip. How much will it cost per person if 81 people go on the trip?
Thanks for the help!
Denise
Click here to see answer by stanbon(75887)

Question 384251: Length of a rectangular room is 8 feet longer than twice the width the room is 184 feet what are the dimensions
Click here to see answer by jokaehler(26)

Question 384283: can someone please tell me if either of these answers are correct please.
In 1990, the life expectancy of females was 78.8 years. In 2001, it was 79.8 years. Let F(t) = life expectancy and t = the number of years since 1990.
a) Find a linear function that fits the data.
b) Use the function of Part (a) to estimate the life expectancy in 2010.
Show your work not just the final answer.

F(t) = mt + c
Substituting the first set of figures, F(t) = 78.8 when t = 0 then, 78.8 = (m x 0) + c : c = 78.8
Substituting the second set of figure, F(t) = 79.8 when t = 11 then, 79.8 = 11m + 78.8 : m = 1/11
a) The linear function: F(t) = t/11 + 78 .8
b) 2010, t = 20 so, F(t) = 20/11 + 78.8 = 1.82 + 78.8 = 80.62 years
or
.
a) The linear function: F(t) = t/11 + 78 .8
b) 2010, t = 20: so, F(t) = 20/11 + 78.8 = 1.82 + 78.8 = 80.62 years

Click here to see answer by stanbon(75887)

Question 384308: A yard has an area of 54 square inches and a perimeter of 42 inches. Find the length and width of the yard.
Click here to see answer by richard1234(7193)

Question 384406: The mathematical model C(x)=800x + 20,000 represents the cost in dollars a company has in manufacturing x items during a month. Based on this, how much does it cost to produce 500 items?
Click here to see answer by ewatrrr(24785)

Question 384535: How many liters of a 10% alcohol solution must be mixed with 50 liters of a 80% solution to get a 30% solution?
Click here to see answer by mtmorro(23)

Question 383660: Here's the question I am trying to solve:
"In a new study, women like shopping 128% more than men. Men like shopping what percent less than women."

I really think this may be a trick question. I don't think there is enough information to answer the question. Also, if it's a new study, and say 100% of women and men were surveyed, how can 142% like it more...that's over the base of 100%. I've looked at so many formulas trying to figure this one out. I think there needs to be another number in the question to come up with an answer.
I could see if they were comparing it to a previous study and were talking about a 128% increase.
Please let me know what your thoughts are.
Thank you soooooo much!!!!!
Renee
Click here to see answer by mtmorro(23)

Question 384534: Jill is 13.5 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 3 kilometers per hour. They meet in 3 hours. How fast is Joe walking?
Click here to see answer by ankor@dixie-net.com(22740)

Question 384571: in a college there are 13 times as many students as professors. if together the students and professors number 28,000 how many students are there in the college?
Click here to see answer by stanbon(75887)

Question 384565: Can someone help me with this problem on porportions. I am lost and do not know what to do.
The ratio of men to women at a certain company is 5 to 4. How many employees does the company have if there are 72 female employees?

Thank you
Click here to see answer by stanbon(75887)

Question 384578: Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of $2325 . What was the rate charged per hour by each mechanic if the sum of the two rates was $150 per hour?
Click here to see answer by stanbon(75887)

Question 384675: If it takes 6 hours to paint 5/7 of a truck, how long will it take to paint the whole truck? Thank you.
Click here to see answer by rfer(16322)

Question 384735: A lever 12m long balances weights of 48kg on one end and 24kg on the other end. Find the lengths of the two arms of the lever.
Click here to see answer by richard1234(7193)

Question 384742: Admission to a secret and exclusive club is through passwords. When you knock on the door, the doorman says something and you have to respond with a number.
The doorman tells the first member, 'New votes'. The member considers this for a moment and replies, '9' and the doorman lets him in.
Another member comes to the door and the doorman says, 'Teething'. The response is '18'. He is also let in.
A third member comes to the door and the doorman says, 'Teen hero'. The member replies, '4' upon which he is allowed in.
Now it is your turn. You knock on the door and the doorman says 'Even for us.' What should be your response?
27

17

11

13????????????//
\
its very tuff...
Click here to see answer by richard1234(7193)

Question 384764: The sum of three numbers is 23. The second number is one more than three times the first,and the sum of the first and third is 16. Find the numbers.
Click here to see answer by ewatrrr(24785)

Question 384746: 1. A millionaire bought a job lot of hats 1/4 of which were brown. The millionaire sold 2/3 of the hats including 4/5 of the brown hats. What fraction of the unsold hats were brown.
(A)1/60 (B)1/15 (C)3/20 (D)3/5 (E)3/4

Click here to see answer by ewatrrr(24785)

Question 384919: a 270m wire is cut into 3 pieces. the second piece is 2 times as long as the first. the third piece is 3 times as long as the second. how long is each piece?

Click here to see answer by mtmorro(23)

Question 51262: In a particular school there are exactly 1000 lockers numbered 1 to 1000. In this school there happen to be exactly 1000 students. One day the math teacher has all of the students line up in the hallway. His instructions are as follows:
"The locker doors are all closed at this time. I would like the first student to go to every locker and open the door. Next, I would like the second student to go to every second locker (#2,#4,#6...)and close the door. Then I would like the third student to go to every third Locker (#3,#6,#9...)and change the current status of the locker door ( if the door is open, close it, if it's closed then open it. Likewise, the fourth student will go to every fourth locker and change the door's status. this pattern will continue until all 1000 students have changed the door status of their appropriate lockers."
after all the students have gone through this process, which of the 1000 lockers will have open doors and which will have closed doors?
The only logical answer I could come up with is locker door #1 will be open and doors #2-1000 will be closed. Is this right?
Thanks so much for any input you can offer.
Bridget

Click here to see answer by richard1234(7193)

Question 385035: If 1,790 Mega Watts of power, out of the 3,000 Mega Watts generated by a power utility, reach the destination, what percentage of the generated power reaches its destination?
Click here to see answer by rfer(16322)

Question 385038: A shop sells compact disks for $15 per piece. If each disk costs $6 to the shop owner how much profit percent does the shop owner earn?
Click here to see answer by rfer(16322)

Question 385037: A ball dropped from a certain height rises after bouncing to 25 % of its original height. After bouncing if the ball rises to 6 ft. What is the height from which it was dropped?
Click here to see answer by richard1234(7193)

Question 385031: A water tank is 60% full. The capacity of the tank is 282 liters. What is the volume of water in the tank?
Click here to see answer by rfer(16322)

Question 385034: John who is an amateur golfer spends 3 hours every day practicing golf. What percentage of his waking hours does John spend practicing golf if he sleeps 9 hours a day?
Click here to see answer by rfer(16322)

Question 385093: What single discount is equivalent to two successive discounts of 15% and 7%?
Click here to see answer by scott8148(6628)

Question 385141: A door is 6 ft 6 in. tall and 36 in wide. Can a piece of plywood that is 7 ft by 8ft be carried through the door?
Click here to see answer by mananth(16946)

Question 385313: Girard wishes to mix red grapes worth $1.90 a pound with green grapes worth $1.10 a pound to get a 24 pound mixture worth $1.50 a pound. How many pounds of each does he need?
please help me
Click here to see answer by mananth(16946)

Question 385309: The length of a rectangle is 2in. less than 7 times its width. the area of the rectangle is 57 sq. in. What are the dimentions of the rectangle?
Click here to see answer by texttutoring(324)

Question 385246: A Piece of ribbon 180 centimeters is cut into two pieces. One piece is 4 times longer that the other . How long are the two pieces in centimeters?
Click here to see answer by mananth(16946)

Question 385413: Andrew factored the expression -30x^3-9x^2-3x as -5x(6x^2-2x-1). But when Melissa applied the distributive law and multiplied out -5x(6x^2-2x-1), she got ; thus, Andrew�s solution does not appear to check. Why is that? Please help Andrew to understand this better. Explain your reasoning and correctly factor the original expression, if possible. If the expression is prime, so state.
Click here to see answer by edjones(8007)

Question 385718: The length of a recatngle is 8 meters more than its width. If the area is 65 square meters, what are the length and width?
Click here to see answer by richard1234(7193)

Question 385960: Can someone help me with this problem please. Work it out so I can understand it please.
A company name Tropical Pools figure that its monthly revenue in dollars on the sale of x number of above ground pools is given by R = 1500x � 3x2, where x is less than 25. What number of pools would they have to sell to generate revenue of $17,568?

Thank you very much.
Click here to see answer by mananth(16946)

Question 385992: I hope I got the right section. I'm having trouble with "Chemical Word Problems" (that's what my textbook says). The original problem is "One solution was 5% bromide,, and the other was 40% bromide. How much of each should be used to get 60 milliliters of a solution that is 12% bromide?"
The 5% bromide "container" I labelled N. The 40% I labelled D (per the instructions of my text).
What I did: I realized that I have two equations: N+d=100 (according to the textbook)which means that n= 100-d ; So I wrote this: ( ) + ( ) = 100 I plugged "n" into the first paranthes, and d into the second. I turned the percents into decimals (5%= 0.5 and 40%= 0.4). I plugged it in, to get:
0.5(N) + 0.4(D) = (100)0.12 (0.12=12%) Since N=100-D, I replaced N with 100-D to get:
0.5(100-D) + 0.4D = 12 I solved to get 50 - 0.5D + 0.4D = 12 --> 50 - .1D =12 ------> Subtracted 50 from both sides to get ----->-.1DN= -38 ----> divided both sides by -.1 ----> and I got 380. Logically, that can't be, because N+D=100. If D = 380 which is greater than 100... What am I doing wrong?!? I've done other problems of this nature, using the SAME process, and they have all been wrong! Please Help!
Click here to see answer by Earlsdon(6294)

Question 386056: The speed of light is approximately 1.86 x 10^5 miles per second. If the planet Pluto is 3.67 x 10^9 miles from the sun, how long does it take light from the sun to reach Pluto? Express your answer using scientific notation.
Click here to see answer by Fombitz(32388)

Question 386058: Frank can type a report in 3 hours and James takes 7 hours. How long will it take the two of them typing together?
Click here to see answer by stanbon(75887)

Question 386063: The current in a stream moves at a speed of 4 mph. A boat travels 5 mi upstream and 13 mi down stream in total time of 2 hr. What is the speed of the boat in still water?

Click here to see answer by scott8148(6628)

Question 386062: There were 360 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $550. How many adults and how many children attended? ( I got 190-adults and 170-children).

Click here to see answer by ewatrrr(24785)

Question 386106: Mary and John can deliver 80 papers in 4 hours. How long would it take them to deliver 36 papers?
Click here to see answer by ewatrrr(24785)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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