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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 203701: For each of the following, find an equation of variation in which y varies directly as x and the following are true.
y=20, when x=4
y=30, when x =3
y=0.7, when x=0.4
Click here to see answer by RAY100(1637)

Question 203705: The weight M of an object on the moon varies directly as its weight E on Earth. One of the authors of this book, Marv Bittinger, weighs 192 lb, but would weigh only 32 lb on the moon. The other author, David Ellenbogen, weighs 185 lb. How much would he weigh on the moon?
Click here to see answer by rfer(16322)

Question 203707: The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is 3 amperes when the resistance is 960 ohms. What is the current when the resistance is 540 ohms?
Click here to see answer by rfer(16322)

Question 203656: In a spelling bee 50% of the students were eliminated after thefirst round. Only 1/3 of the remaining students were still in the contest after the second round. If 24 students were still in the contest after the second round, how many students began the contest?
Click here to see answer by rfer(16322)

Question 203759: Side of a cube. Find the length of the side of a cubic box
whose volume is 80 cubic feet.

I'm pretty sure the formula is V=lWH but without other given variables I'm stumped.
Please help
Click here to see answer by Earlsdon(6294)

Question 203839: Two angles are complementary. One angle is 14 degrees less than three times the other. Find the measure of the two angles.
Click here to see answer by rfer(16322)

Question 203840: A quiche recipe requires 2 cups of light cream that is 20% milk fat. In the refrigerator, Mark has half-and-half that is 12% milk fat and heavy cream that is 36% milk fat. How much of each of these should he use to obtain the necessary amount of light cream?
Click here to see answer by rfer(16322)

Question 203851: It takes 45 min for 2 people to shovel a driveway. How long would it take 5 people to shovel the same driveway?
Click here to see answer by stanbon(75887)

Question 203835: Write the slope-intercept equation of the line that is parallel to, -3x-5y=6 and has the same y-intercept as the graph of, 2x+y=-4
Click here to see answer by PRMath(133)

Question 203852: You are in line at a ticket window. There are two more people ahead of you in line than there are behind you. In the entire line, there are three times as many people as there are behind you. how many are in the line?
Click here to see answer by ankor@dixie-net.com(22740)

Question 203842: If y varies directly as x and y=12 when x=5, find the equation of variation.
Click here to see answer by Alan3354(69443)

Question 203848: Two angles are complementary. One angle is 18 degrees less than twice the other. Find the angles.
Click here to see answer by checkley77(12844)

Question 203850: A New York City taxi recently cost $2.50 plus $1.00 per half mile. A taxi in Boston cost $1.45 plus $1.20 per half mile. For what distance will the taxis cost the same?
Click here to see answer by Alan3354(69443)

Question 203849: A chef has one vinaigrette that is 40% vinegar and another that is 25% vinegar. How much of each is needed to make 60 L of a vinaigrette that is 30% vinegar?
Click here to see answer by rfer(16322)

Question 203843: When 6 students show up for the Swift River Cleanup Day, they can pick up all of the bottles and trash on their section of the riverfront in 2 1/2 hr. If 9 students show up, how long will the same cleanup take?
Click here to see answer by ankor@dixie-net.com(22740)

Question 203841: Jean goes to a movie theater where a ticket costs $7 and any snack item-candy,popcorn,or drink-sells for $1.50 each. Frank goes to a theater where the ticket costs $4 and candy, popcorn, or drinks sell for $2.50 each. How many snack items would jean and Frank need to buy, so that they each pay the same amount at the theater?
Click here to see answer by ankor@dixie-net.com(22740)

Question 204015: the width of a rectangle is 8 cm less than its length. The perimeter is 44 cm. Find the dimensions of the rectangle.
Click here to see answer by rfer(16322)

Question 204014: An 85-ft length of pipe is divided into two pieces. One piece is four times as long as the other. Find the length of each piece.
Click here to see answer by rfer(16322)

Question 204007: I have another word problem that I need help with please.
A flag pole perpindicular to the ground casts a shadow on the ground that is 19 feet long.The angle formed from the end of the shadow to the top of the flag pole is 39 degrees. How tall is the flag pole?
Click here to see answer by Earlsdon(6294)

Question 203993: Here is a story problem I do not have any idea how to firgure out can you help?
You are building a poker table. You want it to be an octagon to seat 8 players. Each of the sides is to be "x" inches long where the players will sit. If you cut the corners off at 45-degree angles to make the top,and the size of the wood is 54 x 54 inches, find the length of each side. Round the answer to the nearest 1/8 of an inch. Thanks Janet
Click here to see answer by scott8148(6628)

Question 203837: A diagonal of a square connects the points (-4,3) and (2,-3). Find the area and perimeter of the square.
Click here to see answer by ankor@dixie-net.com(22740)

Question 203830: In the 2004 Presidential election, Ryan stuffed fliers into envelopes for the candidate he supported. He worked from 2:10 P.M. to 4:40 P.M. and completed 360 envelopes. At what rate did Ryan stuff the envelopes?
Click here to see answer by checkley77(12844)

Question 204030: Top bond fund. An investment of $10,000 in the
Emerging Country Debt Fund in 2001 was worth $24,780
in 2006 (www.money.com). Use the formula from the
previous exercise to find the 5-year average annual
return.
using the equation: r=(s/p)^1/n-1
i really dont understand how to deal with these just yet still kind of confusing.
Thank you for your help!
Click here to see answer by stanbon(75887)

Question 204055: How do you find the equation to a line parallel to 2x-5y=20?
Click here to see answer by RAY100(1637)

Question 204053: You have two summer jobs. In the first job,you work 28 hours per week and earn $7.25 per hour. In the second job, you earn $6.50 per hour and work as many hours as you want. If you want to earn $255 per week, how many hours must you work at your second job?
Click here to see answer by RAY100(1637)

Question 204077: Time to swing. The period T (time in seconds for one complete
cycle) of a simple pendulum is related to the length L
(in feet) of the pendulum by the formula 8T2=pie2L. If a
child is on a swing with a 10-foot chain, then how long
does it take to complete one cycle of the swing?

Thanks for you help
Click here to see answer by stanbon(75887)

Question 204098: The length of the shadow was found to be 72 feet. The shasow of a 3-ft picket fence in line with the flagpole was 4 feet. What is the height of the flagpole?
Click here to see answer by Earlsdon(6294)

Question 204106: If 6 men can do a piece of work in 14 days, how many men are needed to do work in 21 days?
Click here to see answer by scott8148(6628)

Question 204106: If 6 men can do a piece of work in 14 days, how many men are needed to do work in 21 days?
Click here to see answer by RAY100(1637)

Question 204103: The width of a rectangle is 15ft. less that its length, and the perimeter is 210 ft. Find the width?
Click here to see answer by RAY100(1637)

Question 204051: Wagon wheel. A wagon wheel is placed against a wall as
shown in the accompanying figure. One point on the edge
of the wheel is 5 inches from the ground and 10 inches
from the wall. What is the radius of the wheel?
Thank you for all your help i really appreciate it.
Click here to see answer by Alan3354(69443)

Question 203964: which would have a greater change in volume, an aluminum sphere with a radius of 0.4m at 2 degrees celcius that is raised to 45 degrees celcius, or a copper cylinder of radius 0.2m height 3m at 14 degrees celcius that is raised to 35 degrees celcius?
Click here to see answer by RAY100(1637)

Question 204217: How many different three-digit numbers can be formed from the digits 0 through 9 if the first digit must be odd and the last digit must be even?
I have been staring at this problem all night and I still have no idea what it is asking... This question is so weird.. Please help...
Click here to see answer by solver91311(24713)

Question 204230: three goats eat 6 tin cans in 1 hour . how long should it take six goats to eat
3 tin cans ?
Click here to see answer by nerdybill(7384)

Question 204225: respected sir,
plz help me to solve this math prob.
If the numbers x and y are added to set K {5, 1, 6, 4}, the mean will
increase by 50%. What is the value of xsquare + 2xy+ysquare? ?
waiting for yur reply.
thanks u.
Click here to see answer by nerdybill(7384)

Question 203832: On the way to his favorite bass-fishing spot near Yosemite National Park, Miguel hikes up Old Priest Mountain which rises about 1500 ft over 2 mi. What is the grade of the incline?
Click here to see answer by feliz1965(151)

Question 204248: Find the probability that a card is a six or less when selecting one card from a deck of 52 cards.
Click here to see answer by rfer(16322)

Question 204249: Given the probability that an event will not happen is 0.63. What is the probability it will happen?
Click here to see answer by rfer(16322)

Question 204249: Given the probability that an event will not happen is 0.63. What is the probability it will happen?
Click here to see answer by Earlsdon(6294)

Question 204261: A garden hose can fill a backyard pond in 2 hours, while a drain can empty it in 3 hours. How long will it take to fill the pond if the hose is on and the drain is open?
Click here to see answer by Earlsdon(6294)

Question 204303: Use sigma notation to write the sum -x^5/9 + x^6/10 - x^7/11 + x^8/12..
Start at n=5
Click here to see answer by RAY100(1637)

Question 204320: Three times the square of a certain postive number exceeds six times the number by nine. Find the number?
Click here to see answer by RAY100(1637)

Question 204320: Three times the square of a certain postive number exceeds six times the number by nine. Find the number?
Click here to see answer by Edwin McCravy(20054)

Question 204317: The sum of both digits, of either of two two-digit numbers, in whatever order the digits are written, is 9. THe square of either of the digits of either number, minus the product of both digits, plus the square of the other digit is the number 21. The numbers are?
Click here to see answer by Edwin McCravy(20054)

Question 204322: A certain sum of money is invested at 10%. Twice that amount is invested at 8%. The total amount of interest from both investments is $91. How much is invested at 8%?
Click here to see answer by Earlsdon(6294)

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