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

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Question 336880: The intensity I of light from a light bulb varies inversely as the square of the distance d from the light bulb. Suppose I is 1000 w/m^2 when the distance is 4m. How much farther would it be to a point where the intensity is 810 w/m^2?
Click here to see answer by Alan3354(69443) About Me 

Question 336655: A farmer wishes to make a gravel driveway. The mixture needed is two parts pea gravel that cost $9.00 per ton and one part sand that cost $8.00 per ton. The gravel company gave a bid of $390. How much gravel and sand are they going to deliver.
Click here to see answer by nyc_function(2741) About Me 

Question 337043: This is one of our 4th graders math problems. My husband and I are usually good about helping him but for some reason this just confused us. Thanks for your help. He does have to show his work on his paper. Thank you again.
Each Morning Jarilyn runs a total distance of 42 city blocks and always chooses a rectangular running path. This morning her rectangular path was twice as long as it was wide. How many blocks long and how many blocks wide was this mornings rectangular path?

Click here to see answer by nyc_function(2741) About Me 
Question 337043: This is one of our 4th graders math problems. My husband and I are usually good about helping him but for some reason this just confused us. Thanks for your help. He does have to show his work on his paper. Thank you again.
Each Morning Jarilyn runs a total distance of 42 city blocks and always chooses a rectangular running path. This morning her rectangular path was twice as long as it was wide. How many blocks long and how many blocks wide was this mornings rectangular path?

Click here to see answer by mananth(16946) About Me 
Question 337043: This is one of our 4th graders math problems. My husband and I are usually good about helping him but for some reason this just confused us. Thanks for your help. He does have to show his work on his paper. Thank you again.
Each Morning Jarilyn runs a total distance of 42 city blocks and always chooses a rectangular running path. This morning her rectangular path was twice as long as it was wide. How many blocks long and how many blocks wide was this mornings rectangular path?

Click here to see answer by Earlsdon(6294) About Me 

Question 337086: Lori and Jason are gleaning (or collecting) avocados from a grove. Jason can glean 350 avocados per hour. Lori can glean 400 avocados per hour. If they start at the same time how long will it take both of them to collect a total of 10,500 avocados. Thank you!!
Click here to see answer by stanbon(75887) About Me 

Question 337085: A marketing company uses to photocopiers to make 30,000 copies for advertising. One copier can produce 3000 copies per hour. What is the hourly rate of the second copier if together they take 4 hours to produce the advertising?
Click here to see answer by stanbon(75887) About Me 

Question 337084: A pond can be filled with runoff water in 6 hours. It can be filled with well water in 9 hours. How long will it take to fill the pond using both runoff and well water. Thanks :)
Click here to see answer by nerdybill(7384) About Me 

Question 337073: if two planes leave an airport at the same time with one flying west at 680 mph and the other flying east at 560 mph, how long will it take them to be 6200 miles apart?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 337042: A carpenter has three large boxes. Inside each
large box are two medium-sized boxes. Inside each
medium-sized box are five small boxes. How many
boxes are there altogether?

Click here to see answer by CharlesG2(834) About Me 

Question 337060: For all numbers x and y, let the operation * be defined by x * y = x - y. If a and b are positive integers, which of the following can be equal to zero?
I. a * b
II. (a + b) * b
III. a * (a + b)
(A) I only
(B) II only
(C) III only
(D) I and II
(E) I and III

Click here to see answer by jim_thompson5910(35256) About Me 

Question 337204: The intensity (I) of light from a light bulb varies inversely as the square of the distance (d) from the light bulb. Suppose (I) is 640 w/m^2 when the distance is 4m. How much further would it be to a point where the intensity is 250 w/m^2?
I have no idea what to do

Click here to see answer by Fombitz(32388) About Me 

Question 337215: During the four years that Mrs Lopez owned her car, she found that her total car expenses were $18000. Fuel and maintenance costs accounted for 1/3 of the total and depreciation accounted for 3/5 of the remainder. The cost of insurance was 3 times the cost of financing, and together these two costs accounted for 1/5 of the total. If the only expenses were taxes and licence fees, then the total cost of financing was how much more or less than the cost of taxes and licence fees?

$300 less is supposed to be the right answer, but I am getting $600 less. Can you please explain...
Thank you

Click here to see answer by solver91311(24713) About Me 

Question 337440: Casey and Chris want to design an open topped box having a square base and a surface area of 108 square inches. What dimensions would the box of greatest volume have?
Click here to see answer by mananth(16946) About Me 

Question 337402: The current I is an electrical conductor varies inversely as the resistance R of the conductor. The current is 1/7 ampere when the resistance is 21609 ohms. What is the current when the resistance is 3969 Ohms?
K=1/7*21609=3087
I=3087/R=
How do I use the equation I=3087/R= to find the current when the resistance is 3969 Ohms? I figured out the equation however, I don’t know what to do next.

Click here to see answer by rfer(16322) About Me 

Question 337394: Jack weighs 4/5 of his weight plus 40 lbs. Write the algebraic equation and solve. OK, so I know the answer, just by looking at the problem, but my teacher requires that I write the equation and explain, which I cannot do. Please if anybody can help me understand how to do this, I would appreciate it. I struggle with how to write the proper equations.
Click here to see answer by scott8148(6628) About Me 

Question 337414: How much must a carpenter cut off a 48 inch board if the length must be 40 plus or minus 0.25 inches?
Click here to see answer by Fombitz(32388) About Me 

Question 337395: The current I is an electrical conductor varies inversely as the resistance R of the conductor. The current is 1/7 ampere when the resistance is 21609 ohms. What is the current when the resistance is 3969 Ohms?
K=1/7*21609=3087
I=3087/R=
How do I use the equation I=3087/R= to find the current when the resistance is 3969 Ohms? I figured out the equation however, I don’t know what to do next.

Click here to see answer by mananth(16946) About Me 

Question 337599: The smallest angle in a triangle is 1/3 of the largest angle. The third angle is 10 degree's more than the smallest angle. Find the measure of all three angles.
Click here to see answer by mananth(16946) About Me 

Question 337041: A total of 129 players entered a single-elimination handball tournament. In the first round of play, the top-seeded player received a bye and the remaining 128 players played in 64 matches. Thus, 65 players entered the second round of play. How many matches must be played to determine the tournament champion?
Click here to see answer by nyc_function(2741) About Me 

Question 337606: To celebrate colleague’s graduation, the m coworkers in an office agreed to contribute equally to a catered lunch that costs a total of y dollars. If p of the coworkers fail to contribute, which of the following represents the additional amount, in dollars, that each of the remaining coworkers must contribute to pay for the lunch?
(A) y/m (B) y/ (m-p) (C) py/(m-p) (D) y(m-p)/m (E) py/m(m-p)

Click here to see answer by nyc_function(2741) About Me 

Question 337752: evaluate. -|-45|
Click here to see answer by jim_thompson5910(35256) About Me 

Question 337773: Beth has 4500 feet of fencing available to enclose a rectangular field. One side of the field lies along a river, so only three sides require fencing. Express the area A of the rectangle as a function of x, where x is the length of the side parallel to the river.
Click here to see answer by Fombitz(32388) About Me 

Question 337866: A cellular phone company charges $50 for each phone plus $25 per month under a special sale plan. The total cost C (in dollars) of operating the phone is given by the linear model C=50+25t where t represents the number of months of operation of a cellular phone.
How many months has the phone been in service if the total cost is $250.00?
What is the cost of the service after 18 months?
Thank You!!!

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

Question 337863: A car rental company charges $80 per week plus 10 cents for each mile driven on its midsize cars. The total weekly cost C (in dollars) is given by the linear model C=80+ 0.10m where m represents the weekly mileage driven.
What is the cost C when the car has been driven 350 miles in a week?
How many miles are driven if the cost is $95?
Thank You

Click here to see answer by rfer(16322) About Me 

Question 337820: One number is eight less than twice another. Their sum is 100. What are the numbers?

Click here to see answer by rfer(16322) About Me 

Question 337927: A student opens a mathmatics book to facing pages. The product of the page numbers is 1332. Find the page numbers.
The first page is __?__
The second page is __?__

Click here to see answer by katealdridge(100) About Me 

Question 337862: A farmer plans to build a rectangular pen taht is 16 feet long. The area of the pen is 80 square feet. Is 40 feet of fencing enough to fence in the pen?
Click here to see answer by edjones(8007) About Me 
Question 337862: A farmer plans to build a rectangular pen taht is 16 feet long. The area of the pen is 80 square feet. Is 40 feet of fencing enough to fence in the pen?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 337083: A fruit juice company mixes pineapple juice that sells for $5.50 per gallon with 100 gallons of orange juice that sells for $3.00 per gallon. How much pineapple juice is used to make a pineapple orange juice drink selling for $3.50 per gallon? Thank you
Click here to see answer by nyc_function(2741) About Me 

Question 337809: You put a flower bed that is 20 by 30ft. you are putting in a uniform border around the outside of the rectangular garden. You have enough to cover 336 sq. feet. How wide should the border be?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 337918: Write a quadraic equation in the variable x having the given number as solutions type the equation in standard form, ax^2+bx+c=0
solution 9, only solution
The equation is __?__=0

Click here to see answer by Fombitz(32388) About Me 

Question 338161: If a fraction simplifies to 1,what,if anything can you conclude about its numerator and denominator?
A.) the numerator can be anything, the denominator is 1.
B.) the numerator is 1, the denominator can be anything.
C.) the numerator & denominator are equal.
D.) the numerator is smaller than the denominator.

Click here to see answer by solver91311(24713) About Me 

Question 338162: If a fraction simplifies to 0, what, if anything can you conclude about its numerator? What, if anything, can you conclude about its denominator?
A.) Numerator can be anything, denominator is 0.
B.) Numerator is 0, denominator is not 0.
C.) Numerator is 0, denominator is 1.
D.) Numerator is 0, denominator is 0.

Click here to see answer by CharlesG2(834) About Me 

Question 338160: Alex has saved $252 at the bank. He wants to accumulate $1750 for a trip to soccer camp. What percent of his goal has been reached?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 338238: two sides of a triangle have the same length. The third side measures 2m less than twice the common length. The perimeter of the triangle is 14m. what are the lengths of all three sides?
Click here to see answer by checkley77(12844) About Me 

Question 338236: The speed of train a is 8 mph slower than the speed of train b. Train a travels 220 miles in the same time it takes train b to travel 260 miles. Find the speed of each train
Click here to see answer by checkley77(12844) About Me 

Question 338251: A painter can paint a racquetball court in 8 hours. His assistant needs an additional 2 hours to paint the same court working by himself. How long will it take both of them working together to paint the court. Thank You
Click here to see answer by scott8148(6628) About Me 

Question 338246: Two ingredients are used to make flat roof top filter. The first ingredient contains 35% coal tar and the second contains 60% coal tar. How much of each ingredient should be mixed to make 60 tons of roof top filter that contains 50% coal tar? Thank you
Click here to see answer by checkley77(12844) About Me 

Question 338275: The office-jet printer can copy Sue's dissertation in 16 min. The Laser-jet printer can copy the same document in 8 min. If the two machines work together, how long would they take to copy the dissertation?
Click here to see answer by solver91311(24713) About Me 

Question 338328: The office-jet printer can copy Sue's dissertation in 16 min. The Laser-jet printer can copy the same document in 8 min. If the two machines work together, how long would they take to copy the dissertation?
Click here to see answer by solver91311(24713) About Me 

Question 338202: if a and b are mixed in 3:5 ration and b,c are mixed in 8:5 ration if the final mixture is 35 litres,find the amount of b in the final mixture
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 338411: Which has a greater volume, a kilogram of gasoline or a kilogram of a sumo wrestler?
Click here to see answer by backback(24) About Me 
Question 338411: Which has a greater volume, a kilogram of gasoline or a kilogram of a sumo wrestler?
Click here to see answer by Alan3354(69443) About Me 

Question 338423: A bicycle wheel measures 14 inches diameter. If an afternoon ride has been planned, how many complete rotations can be expected during the 1.5 mile ride? Show your work.
Click here to see answer by Alan3354(69443) 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