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

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Question 36377: What is the y-coordinate of the center of the circle that passes through (-1,2),
(3,2), and (5,4)?
Click here to see answer by AnlytcPhil(1806)

Question 36375: Steve has 5 poker chips and 7 blue poker chips.Tom has 9 red poker chips and 3 blue poker chips. If steve's chips are worth a total of $69 and tom's are worth a total of $57, determinr the calue of a blue chip?
Click here to see answer by benni1013(206)

Question 36373: Suppose you have a three quart pail and an eight quart pail with no marking on either pail. How can you use these pails to get exactly four quarts of water in the largest pail?
Click here to see answer by Prithwis(166)

Question 36430: the time it takes to complete a certain job varies inversely to the number of people working on that job. If it takes 36 hrs for 7 carpenters to frame a house, how long will it take 54 carpenters to do the same job?
Click here to see answer by stanbon(75887)

Question 36428: The value of gas varies inversely as the pressure and directly as the temperature(in degree kelvin). If a certain gas occupies a volume of 2.2 ltrs at a temp of 300k and a pressure of 24 newtons per sq centimeter, find the volume when the temp is 330 k and the pressure is 12 newtons per sq centimeters.
Click here to see answer by Earlsdon(6294)

Question 36004: A function f is called even if f(-x)=f(x) and it is called odd if f(-x)=-f(x). Show that every function f can be written as the sum of an even function and an odd function.
Click here to see answer by venugopalramana(3286)

Question 35938: If a, b, and c are integers and are the sides of a triangle ABC such that b=a(a-c) show that sin(B)/sin(A) is an integer.
Click here to see answer by venugopalramana(3286)

Question 35940: Suppose that an isosceles triangle has sides of length a,a, and b and is such that cos(2A)=sin(B). Show that sin^2(B)= -2sin(A)cos(A)cos(B).
Click here to see answer by venugopalramana(3286)

Question 36007: Suppose that a, b, and c are positive integers such that 24/5=a+(1/(b+(1/c+1))). Find all possible values of a, b, and c.
Click here to see answer by venugopalramana(3286)

Question 36058: 2. Suppose that a, b, and c are positive integers such that 24/5= a + (1/ b+(1/c+1))

Find all possible values of a, b, and c.
Click here to see answer by venugopalramana(3286)

Question 36496: In how many ways can you walk up a stairway that has 7 steps if you can take 1 0r 2 steps at a time?
Click here to see answer by kev82(151)

Question 36494: Express this decimal as a fraction in lowest terms .076923 repeated. (The whole number has the repeated sign over it.)
Click here to see answer by checkley71(8403)

Question 36497: If prices go down by 20% by what % does your purchasing power increase? (Purchasing power means the amount of goods you can purchase on a fixed amount of money.)
Click here to see answer by checkley71(8403)

Question 36495: The number of seconds in 6 weeks equals n. Find n.
Click here to see answer by checkley71(8403)

Question 36379: The sides of the triangle are 6,7,and x. What is the largest value that could be the area of such a triangle?
Click here to see answer by venugopalramana(3286)

Question 36595: a machine produces 165 bolts in 21 minutes. At the rate, in how many minutes does the machine produce 385 bolts?
Click here to see answer by checkley71(8403)

Question 35595: If anglesA,B, and C are the sides of a triangle such that sin(A+B)=1/cos(C) and cos(A+B)=cos(C), then show that the triangle is a right triangle
Click here to see answer by venugopalramana(3286)

Question 36737: Social science. In a town election, the winning candidate had 220 more votes
than the loser. If 810 votes were cast in all, how many votes did each candidate
receive?

Click here to see answer by checkley71(8403)

Question 36878: Two rainstorms occurred in one week in a certain area. In the first rainstorm 15ml of rain fell per hour, and in the second rainstorm 25ml of rain fell per hour. Rain fell that week for a total of 50 hours for a total rainfall of 950ml . How long was each of the two rainstorms?

Click here to see answer by checkley71(8403)

Question 36883: A child in an airport is able to cover 392 meters in 4 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 204 meters in 3 minutes. What is the child's running speed on a still sidewalk, and what is the speed of the moving sidewalk?

Click here to see answer by checkley71(8403)

Question 36886: Two rainstorms occurred in one week in a certain area. In the first rainstorm 40ml of rain fell per hour, and in the second rainstorm 15ml of rain fell per hour. Rain fell that week for a total of 60 hours for a total rainfall of 1900ml . How long was each of the two rainstorms?

Click here to see answer by checkley71(8403)

Question 37085: Hi! I've been working on this problem for hours...I've been trying to solve this word problem using the f(t) = 10^t equation :
A computer is infected with the Sasser virus. Assume that it infects 20 other computers within 5 minutes; and that these PCs and servers each infect 20 more machines within another five minutes, etc. How long until 100 million computers are infected?
I know that I'm SO close to getting it but it just hasn't clicked yet. Please help me.
Click here to see answer by jcmtnez(53)

Question 37119: Please solve and show all work. Thank you!
The sum of a number and its square is 12. Find the number.
Click here to see answer by wuwei96815(245)

Question 37119: Please solve and show all work. Thank you!
The sum of a number and its square is 12. Find the number.
Click here to see answer by venugopalramana(3286)

Question 37091: Question:

You are selling football tickets. Student tickets cost $2 and general admission tickets cost $5. You sell three times as many general admission tickets as student tickets and collect $1700. How many of each type of ticket did you sell?
This is what I have so far.
n=Student Tickets n(3)=general admission tickets
n+3n=1700
n=425 student tickets n(3)=1275 general admission tickets.
Is this correct?
Click here to see answer by fractalier(6550)

Question 37199: Scott wants to swim across a river that is 400 meters wide. He begins swimming perpendicular to the shore he started from but ends up 100 down river from where he started because of the current. How far did he actually swim from his starting point?
Click here to see answer by fractalier(6550)

Question 37267: A board game for 2 to 6 players has a deck of cards that can always be divided evenly among all the players. What is the smallest numbers of cards that are possible?
Click here to see answer by checkley71(8403)

Question 37282: fling aginst the wind,mr.bob's plane flew 450 miles from one airport to another in 1.5 hours. the return trip,with no change of wind or direction, took 1.25 hours. what was the speed of the wind?
Click here to see answer by checkley71(8403)

Question 37320: Determine Slope. A man decends 1800 feet of elevation @ 3.25 miles horizontally away from the top of the mountain. What is the slope of decent
Click here to see answer by hydromojo(20)

Question 37308: What is the smallest positive integer that cannot occur as the difference between two positive prime numbers.
Click here to see answer by fractalier(6550)

Question 37307: For three days in a row, volunteers picked up trash on a particular beach. They picked up a total of 921 pounds. On the second day they collected 39 pounds more than on the first day. On the third day, they picked up 18 pounds less than on the first day. How many pounds of trash did they pick up on the first day?
Click here to see answer by fractalier(6550)

Question 37375: The grades are given for a student for a particular semester. Find the grade point average. Assume the grade point values are A = 4, B = 3, C = 2, D = 1, and F = 0. Round to the nearest tenth when necessary.
Grade ---- Credit Hours
B ---- 2
A ---- 3
C ---- 1
B ---- 4
A ---- 2
Click here to see answer by fractalier(6550)

Question 37385: In the Old Weat, settlers often fashioned tents out of a piece of cloth thrown over tent poles and the secures to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 4 meters high and 3 meters wide?
Click here to see answer by fractalier(6550)

Question 37378: What is the probability of this independent event. Drawing a red marble from a bag of 6 red and 4 blue marbles, replacing it, and then drawing a blue marble.
Click here to see answer by blimblim(1)

Question 37394: One hundred bushels of corn are to be divided among 100 men, women, and children. Men get 3 bushels each. Women get 2 bushels each. Children get 1/2 bushel each. How can the bushel be distributed? Is there more than on solution?

I do not have a textbook for this class.
Click here to see answer by fractalier(6550)

Question 37382: In construction, floor space must be given for staircases. If the second floor is 3.6 meters above the first floor and a contractor is using the standard step pattern of 28 cm of tread for 18 cm of rise then how many steps are needed to get from the first to the second floor and how much linear distance will need to be used for the staircase?
Click here to see answer by checkley71(8403)

Question 37442: Vern invested $11,000. Part was invested at 15% and part at 13%. If the total interest at the end of the year is $1,610, how much did he invest at 15%?
Click here to see answer by wuwei96815(245)

Question 37441: Adult tickets for a play cost $16 and child tickets cost $9. If there were 24 people at a performance and the theater collected $258 from ticket sales, how many children attended the play?
Click here to see answer by Paul(988)

Question 37502: Beginning with 1, all the postive intgers are written successively, beginning 123456789101112. What digit appears in the 2006th position?
Click here to see answer by josmiceli(19441)

Question 37542: It takes Tom 4 hours to buid a fence. If he hires Jack to help him, together they can do the job in just 3 hours. If Jack built the same fence alone, how long would it take him?
Click here to see answer by stanbon(75887)

Question 37541: One garden hose can fill an above-ground pool in 10 hours. A second hose can fill the pool twice as fast as the first one. If both hoses are used together to fill the pool, how many hours will it take?
Click here to see answer by stanbon(75887)

Question 37540: In the Old West, settlers often fashioned tents out of a piece of cloth thrown over tent poles and then secured to the ground with stakes forming an isosceles triangle. How long would the cloth have to so that the opening of the tent was 4 meters high and 3 meters wide?
I tryed this problem thinking that you could solve using the Pythagorean Theorm but you can only use that if it is a right triangle.
Click here to see answer by stanbon(75887)

Question 37543: The mat around a picture measures x inches across. The length of the picture with its mat is 40 inches, and the width of the picture with its mat is 24 inched. If the area of the picture is 192 square inches, find the dimensions of the picture.
Click here to see answer by fractalier(6550)

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