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

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Question 436517: Is there an easier way to figure out doubling time and half-life problems?
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Question 436519: I am trying to figure out an easier way to do linear and expotential modeling, Is there?
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Question 436518: Is there an easier way to figure out the real population growth, an easier way?
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Question 436516: Determine what the next equation would be, and verify that it is indeed a true statement.
6)

(1 × 9) - 4 = 5
(21 × 9) - 4 = 185
(321 × 9) - 4 = 2885


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Question 436359: Trains A and B are traveling in the same direction. Train A is traveling at 100 miles per hour and train B is traveling at 125 miles per hour. Train A passes a station at 11:10pm,if Train B passes the same train station at 11:22pm. At what time will train B catch up with train A?
Click here to see answer by htmentor(1343) About Me 

Question 436533: A rare isotope of nuclear material is very unstable, decaying at a rate of 12% each second. Find how much isotope remains 10 seconds after 4 grams of the isotope is created? Use y=4(2.7)^-0.12t, where t represents time in seconds.
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Question 436546: A rare isotope of a nuclear material is very unstable, decaying at a rate of 12% each second. Find how much isotope remains 10 seconds after 4 grams of the isotope is created. Use y=4(2.7)^0.12t, where t represents time in seconds..
There would be how many grams of the isotope.
(Round to the nearest tenth as needed)

Click here to see answer by nerdybill(7384) About Me 

Question 436580: 80% is equivalent to
Click here to see answer by nerdybill(7384) About Me 

Question 436669: Translate this to a mathematical equation and solve. Please show all of your work.The stock market gained 120 points on Tuesday and lost 212 points on Wednesday. It had closed on Monday at 8721 points. Where did the stock market close on Wednesday?







Click here to see answer by stanbon(75887) About Me 

Question 436707: Suppose that both loans are at 10% and the total annual interest is $264. If possible, determine the amount of each loan. Interpret the results.
Click here to see answer by rfer(16322) About Me 

Question 436704: A plane flies 1500 miles against the wind in 3 hours and 45 minutes. The return trip with the wind takes 3 hours. Assume that the wind speed stays constant. Find the speed of the wind and the speed of the airplane with no wind.
Click here to see answer by mananth(16946) About Me 

Question 436807: if the complimet of an angle is 6 less than 1/3 of its supplement..Find the measure of the angle...
Click here to see answer by shree840(260) About Me 

Question 436742: what are the coordinates of the point where the line containing K(-3,5) and L(5,4) crosses the y axis?
Click here to see answer by robertb(5830) About Me 

Question 436857: The height of a door is 1.6 feet longer than its width and its front area(neglecting depth) is 1591.4 square feet. Find the width and the height of the door.
Find the width of the door in feet
Find the height of the door in feet
(round to one decimal place as needed)

Click here to see answer by jorel1380(3719) About Me 

Question 436858: Fred's retangular dog pen must have an area of 400 square feet. Also the length must be 12 feet longer then the width. Find the dimensions of the pen.
The width of the pen is
The length of the pen is
(Simplify your answer. Type a exact answer, using radicls as needed)

Click here to see answer by jorel1380(3719) About Me 

Question 436949: what is 6m^2-19m+14 factored
Click here to see answer by MathLover1(20849) About Me 

Question 436998: A 24.3 irregular nugget displaces 1.26ml of water. Is it likely that the nugget is gold?

Click here to see answer by Alan3354(69443) About Me 

Question 437083: Parking lot dimensions. A parking lot has a perimeter of 500ft. The width is 20ft less than the lenght. find the dimensions.
Click here to see answer by oberobic(2304) About Me 

Question 437085: Pricing. The Book Barn prices its paperbacks by raising the whole sale price 60% and then adding 50 cents. What is the whole sale price of a paper back that sells for $7.95?
Click here to see answer by rfer(16322) About Me 

Question 437244: Your boss has asked you to come up with a price model for one of the cell phone models that your company produces. In the model, costs and length of service are directly related. You are also asked to examine the profit formula based on selling a certain number of the phones to determine profitability based on how many are sold.
Suppose a cell phone service costs $45 per month, along with a $60 activation fee.
Write a cost equation that relates the number of months of service and the total cost for that time of service. (Hint: Let t = the number of months of service and c = the total cost.)
Use the cost equation to determine the number of months of service for a cost of $1,185.



Click here to see answer by stanbon(75887) About Me 

Question 437279: Ramon rented a sprayer and a generator. on his first job, he used each piece of equipment for 6 hours at a total cost of $900. on his second job, he used the sprayer for 4 hours and the generator for 8 hours at a total cost of $100.what was the hourly cost of each equipment
Click here to see answer by rwm(914) About Me 

Question 437288: The gravitational force F between two objects is inversely proportional to the square of the distance between the objects. If the force F is 1.62x 10^-6N when the objects are 25cm apart, what is the gravitational force when the objects are 35cm apart?
Click here to see answer by Gogonati(855) About Me 

Question 437481: To do a rope trick, a magician needs to cut a piece of rope so that one piece is one-third the length of the other piece. If she begins with a 24 ft rope, what will be the lengths of the two pieces of rope?
Click here to see answer by solver91311(24713) About Me 

Question 437480: The world population P(t), in billions, t years after 1990 can be approximated by: P(t)=3.335(1.016)^t In what year will the world population reach 8 billion? and what is the doubling time? Any help would be greatly appreciated!
Click here to see answer by solver91311(24713) About Me 

Question 437502: On a math test the total number of points possible is 100 points. There are 36 questions on the test. Questions are worth 1 point, 3 points, or 5 points. The number of 3- point questions is twice the number of 1-point questions. How many 5-point questions are there on the test?
Click here to see answer by rwm(914) About Me 

Question 437594: The sum of a number and 6 times the number.
Click here to see answer by edjones(8007) About Me 

Question 437600: how many gallons of a 50% antifreeze solution must be mixed with 60 gallons of 20% antifreeze to get a mixture that is 40% antifreeze
Click here to see answer by mananth(16946) About Me 

Question 437581: 55 freshman were interviewed about the classes they were taking this semester.
21 said they were taking math.
15 said they were taking english.
26 said they were taking science.
8 said they were taking both science and math.
6 said they were taking both science and english.
3 said they were taking both math and english.
2 said they were taking all three classes.
How many students are not taking any science, math, or english?
How many students are taking exactly one of science, math, or english?

Click here to see answer by robertb(5830) About Me 

Question 437809: So I have to take a test in order to get into a specific college program and I've gone all the way to Calculus III/Linear Algebra but for the life of me can't remember the process on solving this thing. I don't really care about the answer but more the step(s) to solve it. Thank you!
Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1.5 hours. How quickly can all three fill the pool together?

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 437809: So I have to take a test in order to get into a specific college program and I've gone all the way to Calculus III/Linear Algebra but for the life of me can't remember the process on solving this thing. I don't really care about the answer but more the step(s) to solve it. Thank you!
Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1.5 hours. How quickly can all three fill the pool together?

Click here to see answer by Alan3354(69443) About Me 

Question 438100: Here is the question from my book.... Brad is performing an experiment in chemistry class at the University of North Carolina. He needs to mix 20 liters of 40% acid solution with a 70% acid solution to get a mixture that is 50% acid. How many liters of the 70% acid solution should he use?
I think the answer is 15 but when i tried to work it out I got confused. this is what I have so far: 20/15 = 1.333333333, 1.333333333/70= 50, 1.333333333 X 70 = 50, well anyways you see I didn't get to far.
thank you.

Click here to see answer by scott8148(6628) About Me 
Question 438100: Here is the question from my book.... Brad is performing an experiment in chemistry class at the University of North Carolina. He needs to mix 20 liters of 40% acid solution with a 70% acid solution to get a mixture that is 50% acid. How many liters of the 70% acid solution should he use?
I think the answer is 15 but when i tried to work it out I got confused. this is what I have so far: 20/15 = 1.333333333, 1.333333333/70= 50, 1.333333333 X 70 = 50, well anyways you see I didn't get to far.
thank you.

Click here to see answer by lwsshak3(11628) About Me 
Question 438100: Here is the question from my book.... Brad is performing an experiment in chemistry class at the University of North Carolina. He needs to mix 20 liters of 40% acid solution with a 70% acid solution to get a mixture that is 50% acid. How many liters of the 70% acid solution should he use?
I think the answer is 15 but when i tried to work it out I got confused. this is what I have so far: 20/15 = 1.333333333, 1.333333333/70= 50, 1.333333333 X 70 = 50, well anyways you see I didn't get to far.
thank you.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 438146: How many seconds each does it take to empty 100 garbage cans per hour/
Click here to see answer by robertb(5830) About Me 

Question 438159: Please help me with this problem: The principal needs 685 copies of 8 1/2 page list of all the courses offered at the high school. A package of copy paper contains 250 sheets. How many packages of paper will the principal need?
Click here to see answer by robertb(5830) About Me 

Question 438227: Quadratic word problem:
Find three consecutive integers such that the product of the two smaller numbers minus the square of the largest is equal to -22

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Question 438270: A 65-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the lenghts of the two pieces.
Click here to see answer by Alan3354(69443) About Me 

Question 438508: A new model computer is advertised as being 6 h faster at a certain processing job than an older model. If 3 of the older models and 2 of the new models work simultaneously, they can finish the job in 1 h. How long would it take one of the new machines to finish the job alone?
my teacher gave me the answer of 3 hours and i have other problems like this that i could do but for some reason i cant set this one up. thank you :)

Click here to see answer by scott8148(6628) About Me 

Question 438684: I am having trouble setting up this word problem: A fruit salad contains an equal number of grapes and kiwi, 5 more bananas than grapes, and half as many strawberries as kiwi. There are a total of 19 pieces of fruit. Find the number of pieces of each fruit.
Click here to see answer by jorel1380(3719) About Me 

Question 438765: It is a variation function problem, I just couldn't find the best topic.
Here is the problem. I know what the answer is and how to get to the answer I just don't know how I got it.
From measurements on many rivers, geographers find that the length of a river that drains a particular "basin" of land is approximately proportional to the 0.6 power of the area of the basin. The Rio Grande is 3034 kilometers long, and drains a basin of about 500,000 square kilometers.
To get the particular equation expressing river length in terms of basin area, I know that the equation is going to be y=k*x^0.6 -> 3034=500000^0.6*k which results with y=1.16*x^0.6.
But why does y have to be 3034? I thought y had to be the dependent variable, and I thought the basin depended on how long the river is, not vice versa.
Also, if the river in the world is the 6700 kilometer Nile, approximatley what area of land does the Nile drain? (still the same question)
I think it is a logs question but how would you solve it?
Thank you!!!!!!! You will be my life-saver ! :D

Click here to see answer by robertb(5830) About Me 

Question 438828: A vendor sells hot dogs and bags of potato chips. A customer buys 3 hot dogs and 2 bags of potato chips for $8.25. Another customer buys 4 hot dogs and 4 bags of potato chips for $13.00. Find the cost of each item.

also what equations would i use?

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Question 438831: If I had 4230 lbs of furniture how many square feet of home is that equal to?
Click here to see answer by rwm(914) About Me 

Question 438833: did know what section it was under...
Tell if the system is inconsistent, the equations are dependent, or neither.
-24x +4y = 4
-6x + y = -1

Click here to see answer by rwm(914) About Me 

Question 438860: In each of the following, list terms that continue a possible
pattern. Which of the sequences are arithmetic,
which are geometric, and which are neither?
a. 8, 11, 14, 17, 20, ...
b. 1, 16, 81, 256, 625, ...
c. 5, 15, 45, 135, 405, ...
d. 2, 7, 12, 17, 22, ...
e.1, 1/2, 1/4, 1/8, 1/16, ...
Find the 100th term and the nth term for each of the
sequences in exercise above.

Click here to see answer by ewatrrr(24785) About Me 

Question 438990: Looking for tutoring help in EC103 Priciples of Microeconomics... Please
Click here to see answer by rwm(914) About Me 

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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690