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

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Question 824799: Solve the problem.
A thermometer reading 9°C is brought into a room with a constant temperature of 30°C. If the thermometer reads 15°C after 3 minutes, what will it read after being in the room for 6 minutes? Assume the cooling follows Newton's Law of Cooling: U = T + (Uo - T)e^kt. (Round your answer to two decimal places.)

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Question 824823: Seven people can do 1/3 of a job in 45 days. How many additional people must be hired to complete the remaining 2/3 of the job in 42 days? (Assume everyone works at the same rate.)
Click here to see answer by josmiceli(19441) About Me 

Question 824817: the sale price at a department store was 20% off the list price. The closeout price was 25% off the sale price. Mrs. Jennings bought a dress at the closeout price of $75. What was the original price of the dress?
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Question 824808: if carter peak height at the basket of leaped for a dunk and reached a 1.07m, what was his upward velocity in meters per second at the monent his feet left the floor: and find the amount of time he was in the air?
v1^2=v^20 +2gS
S=1/2 gt^2+v0t

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Question 825027: if 9 counters are 1/2, then _______ counters are ONE.
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Question 825027: if 9 counters are 1/2, then _______ counters are ONE.
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Question 824988: I have 420 cupcakes and need to fill them with empty boxes that measure 18" by 31" and the cupcakes dimensions are 3" by 2". How many boxes does it take to fit all 420 cupcakes?
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Question 824988: I have 420 cupcakes and need to fill them with empty boxes that measure 18" by 31" and the cupcakes dimensions are 3" by 2". How many boxes does it take to fit all 420 cupcakes?
Click here to see answer by y6n3o9p4(20) About Me 
Question 824988: I have 420 cupcakes and need to fill them with empty boxes that measure 18" by 31" and the cupcakes dimensions are 3" by 2". How many boxes does it take to fit all 420 cupcakes?
Click here to see answer by MathTherapy(10551) About Me 

Question 825104: Currency The United States Code specifies that dimes weigh 2.268 grams each and
nickels weigh 5 grams each. The approximate weight of 425 dimes and nickels is
1483 grams.
a. How many of each coin are there?
b. What is the total value of the coins?

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Question 825133: if 10 counters are 2/9 what does 1 counter equal?


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Question 825050: please help me with this
use the method of mathematical induction to prove the following
1) 3^4n+2 + 2*4^3n+1 is exactly divisible by 17
2) 11^2n -1 is a multiple of 120
3) n(n+1)(n+2) is an integer multiple of 6
4) n summation 1 r^3= n^2(n+1)^2 all over 4
thanks.

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Question 825262: The speed of a car is 66 km/hr. If each wheel of the car is 140 cm in diameter, find the number of revolutions made by each wheel per minute.
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Question 825485: A farmer wants to enlarge an existing rectangular pigpen such that the total area of the new pen is twice as large as the original pen. The current pen's dimensions are 20' x 27' . The farmer wants to add 14 feet more to the long side than to the short side. Find the dimensions of the new pen.
Can't figure out how to solve this :( Please help!

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Question 825485: A farmer wants to enlarge an existing rectangular pigpen such that the total area of the new pen is twice as large as the original pen. The current pen's dimensions are 20' x 27' . The farmer wants to add 14 feet more to the long side than to the short side. Find the dimensions of the new pen.
Can't figure out how to solve this :( Please help!

Click here to see answer by MathTherapy(10551) About Me 

Question 825577: the area of a rectangle is 270 cm^2. if the shorter side was reduced by 2 cm and the longer side was increased by 16 cm^2. find the lengths of the sides of the original rectangle
Click here to see answer by josgarithmetic(39615) About Me 

Question 825762: Nine cards are numbered from 1 to 9 respectively. Two cards are distributed to each of four children. The sum of the numbers on the two cards the children are given is: 7 for Ann, 10 for Ben, 11 for Cathy and 12 for Don. What is the number on the card that was not distributed?
I tried working this out, and I got my answer as the number 5. However, I'm not entirely sure because my friend worked it out and got a different answer. Is there any way you could please help?

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Question 825886: when p is decreased by 36 the result is 8 less than one-third of p. find p. can u please help me
Click here to see answer by MathLover1(20849) About Me 

Question 825902: the sum of three consecutive intergers is -171 find the largest of the three integers

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Question 825902: the sum of three consecutive intergers is -171 find the largest of the three integers

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Question 824931: Rain falls on a cubic block of solid wood (with sides of length 16 in each direction) that is left outside, soaking the five out of the six faces that are exposed to the rain. If this block is cut into 2-inch cubes, what proportion of these cubes will have more than one wet face?
Please help me on this question. I wasn't sure what type of question this was, so I put it as miscellaneous. Thank you!

Click here to see answer by KMST(5328) About Me 

Question 826080: for a science project a class measures the height of a plant at the end of each week for four consecutive weeks. the height of the plant increases by the same amount each week. if this pattern continues what will be the height of the plant at the end of the 6th week?
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Question 826121: the math question is to write one million sixty-two thousand dollars in numerals form I wrote it like this 1,062,000 is this the right way to write this problem please help me thank all of you for your help.

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Question 826121: the math question is to write one million sixty-two thousand dollars in numerals form I wrote it like this 1,062,000 is this the right way to write this problem please help me thank all of you for your help.

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

Question 826065: Dear Sir/Madam:
A good day to you! Please help me in finding a solution to this word problem involving oblique triangles, here it goes:
Two trains start at the same time from the same station moving along straight tracks with an angle of 42.7°. One train runs at a rate of 40 mph and the second train at 55 mph. What is their distance after 25 minutes, if the second train makes an angle of 50.3° with the first train?
Thank you very much for your help!

Click here to see answer by josgarithmetic(39615) About Me 

Question 826261: the area of a rectangle is 270cm^2. If the shorter side was reduced by 2cm and the longer side was increased by 16 cm^2. Find the lengths of the sides of the original rectangle.
Note the book says 16cm^2

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Question 826273: A swimming pool 6 meters by 10 meters long is surrounded by a walk of uniform width. The area taken up by the walk happens to equal the area of the pool. What is the width of the walk?
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Question 826503: Liam invests £6200 for 3 years in a savings account. He gets 2.5% per annum compound interest. How much money will Liam have in his savings account at the end of 3 years?
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Question 826451: billy jumped off the bridge, 70 ft above the water, with a bungee cord tied to his legs. If he was 6 ft above the water 2 sec after jumping, then what ws the average rate of change of his altitude as the time varied from 0 to 2 sec?
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Question 826581: Dear Sir/Madam;
Please help me with a word problem, here it is:
What is the central angle of a circle if the subtending chord is 75% of the radius?
Thank you very much for your help!

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

Question 826721: Three girls were stringing beads. There were a total of 195 beads in all and they were shared in a ratio of 1/2:1/3:1/4. How many beads did each of the girls receive?

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Question 826768: a town has its water tower filled to its capacity, 300,000 gallons. after 30 days the tower has 180,000 gallons. the town runs out of water in 44 days after that.
A.find the change in water capacity of the water tower after the first 30 days
B. find the number of days it took the tower to use the 300,000 gallons

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Question 826877: The difference of two numbers is 16. the greater number is 5 less than 4 times the smaller number. Find the numbers.
Thank you for the help I've been trying to solve this problem thoughout winter break.

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Question 826911: Elvis is driving Memphis to Chicago, a distance of 548 miles. He drives 46 miles per hour for 4 hours. At what rate must he drive to complete the entire trip in no more than 11 hours?
please include all the work and equations. Thank you so much!

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Question 826855: Find the largest three digit number such that the number minus the sum of its digit is a perfect square.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 826910: A company rents vans for $50 per day plus 25 cents per mile. How many dollars (y) does it cost to rent a van for 3 days and drive it for x miles?
Please include the detailed work. Thank you so much!

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Question 826910: A company rents vans for $50 per day plus 25 cents per mile. How many dollars (y) does it cost to rent a van for 3 days and drive it for x miles?
Please include the detailed work. Thank you so much!

Click here to see answer by MathTherapy(10551) About Me 

Question 826990: A rock group plans three concert tours over a period of 38 weeks. The tour in Britain will be 4 weeks longer than the tour in France and the tour in Germany will be 2 weeks shorter than the tour in France. How many weeks will they be in France?
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Question 826992: The number of tickets Cynthia sold is 12 less the number Holly sold. Together they sold 114. How many tickets did Holly sell?
Click here to see answer by TimothyLamb(4379) About Me 

Question 827048: One employee makes 20 boxes in 60 minutes. Another employee makes 25 boxes in 60 minutes. How many boxes can they make together in 40 minutes?
Click here to see answer by LinnW(1048) About Me 

Question 827060: There is 355 students altogether. The school has 25 more females than males how many female and males does the school have.
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Question 827070: If Anna and Jessica can clean house together in 6hrs and Anna can clean alone in 8hrs how long would it take Jessica to clean?
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Question 827070: If Anna and Jessica can clean house together in 6hrs and Anna can clean alone in 8hrs how long would it take Jessica to clean?
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Question 827152: There are an infinite number of solutions to the system ax+2y=6k and 3x+by=15, so the sum of a and b must be?
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Question 827242: Dear Sir/Madam;
A pleasant day! Here is the word problem:
Brenda finds that the angle of elevation of the top of the flagpole 145 ft. from the foot of the pole 38°25'. What is the height of the pole?
Thank you so much for your help!

Click here to see answer by stanbon(75887) 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, 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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, 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30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690