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

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Question 224617: Find the measure of an angle whose measure is 18 degrees less than one half of the measure of its complement.
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Question 224631: 10% interest is paid on $16,500 compounded semi-annually. What will the amount be at the end of 5 years?
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Question 224687: If you capture and tag 50 cranes in the spring, then on their way south, in the fall capture 80 and 7 have a tag, what is the population of cranes?
10,000
72,000
7,200
720
Thanks.

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Question 224752: the perimeter of a rectangle is 36 m. the length is 3 m more than twice the width. find the dimensions
what is the length? - m
what is the width? - m

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Question 224835: The amount of money you receive on your paycheck varies directly with the numbers of hours you work in one week. Last week you made $180 when you worked 20 hours. This week, you worked an extra 5 hours. How much money will you receive on your paycheck?
Click here to see answer by LtAurora(115) About Me 

Question 224864: (((The Schwarzschild radius describes the critical valie to which the radius of a massive body must be reduced for it to become a black hole.
R=2GM/C^2
where
G = gravitational constant 6.7*10^-11
M = mass of the object
C = speed of light 3*10^8
the sun has M = 2*10^30. What is the Schwarzschild radius for the sun? [Note its true radius is 700,000])))
I have been trying to come up with an equation for this and I thought that by plugging in the values as they are in the equation R=2GM/C^2 I could solve the problem. However, I have been having difficulties coming up with a solution. Please help if you can!

Click here to see answer by LtAurora(115) About Me 

Question 224869: Mixing Fertilizer. A farmer wants to mix a liquid fertilizer that contains 2% nitrogen with the one that contains 10% nitrogen to obtain 40 gallons of a fertilizer that contains 8% nitrogen. How many gallons of each fertilizer should be used?
Click here to see answer by wowkids38(4) About Me 
Question 224869: Mixing Fertilizer. A farmer wants to mix a liquid fertilizer that contains 2% nitrogen with the one that contains 10% nitrogen to obtain 40 gallons of a fertilizer that contains 8% nitrogen. How many gallons of each fertilizer should be used?
Click here to see answer by checkley77(12844) About Me 

Question 224994: Construct a frequency distribution for the data given below:
17 14 6 3 9 14 1 10 17 17 12 11 9 17 7 9 13 1 8 2

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Question 225013: suppose that you received an unexpected inheritance of $17600. you have decided to invest some of the money in stocks and some in bonds. To diversify, you decide that three times the amount in bonds should equal five times the amount invested in stocks. How much should be invested in stocks and how much in bonds?
Click here to see answer by rfer(16322) About Me 

Question 225101: Please help me answer this question. Why must the rules for the order of operations be understood before solving an equation?
Click here to see answer by rfer(16322) About Me 

Question 225094: The perimeter of a standard high school basketball court is 268ft. The length is 34ft longer than the width. Find the dimensions of the court.
Click here to see answer by drj(1380) About Me 

Question 225126: A plumer gave an estimate for the renovation of a kitchen. Her hourly pay is $27 per hour and the plumbing parts will cost $80. If her total estimate is $404, how many hours does she expect this job to take?
Click here to see answer by rfer(16322) About Me 
Question 225126: A plumer gave an estimate for the renovation of a kitchen. Her hourly pay is $27 per hour and the plumbing parts will cost $80. If her total estimate is $404, how many hours does she expect this job to take?
Click here to see answer by checkley77(12844) About Me 

Question 225137: Recall that the sum of the measures of the angles of a triangle is 180 degrees. In the triangle below, angle c has the same measure as angle b, and a measures 42 degrees less than angle b. Find the measure of each angle.
Click here to see answer by drj(1380) About Me 

Question 225199: One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number
Click here to see answer by LtAurora(115) About Me 

Question 225345: Company A rents copiers for a monthly charge of $200 plus 8 cents per copy. Company B rents copiers for a monthly charge of $400 plus 4 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?
Click here to see answer by rfer(16322) About Me 

Question 225396: Nathan is 5 years older than Dan. If the total of their ages is 19, how old is Dan?
Click here to see answer by RAY100(1637) About Me 

Question 225349: Stephanie receives a salary of $650 per month plus a commision of 5.5% on the first $3000 of sales, and 7% of all sales over $3000. Find Stephanie's gross pay for the month if her sales were $10960
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 225495: For several years, a number of Food Lion, Inc., grocery stores were unprofitable. The company closed, and continues to close, some of these locations. It is apparent that the company will not be able to recover the cost of the assets associated with the closed stores. Thus, the current value of these impaired assets must be written down (see the Case in Point on page 381).A recent Food Lion income statement reports a $9.5 million charge against income pertaining to the write-down of impaired assets.

a.Explain why Food Lion must write down the current carrying value of its unprofitable stores.

b. Explain why the recent $9.5 million charge to write down these impaired assets is considered
a noncash expense.

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

Question 225496: E8-5 Hachey Company has accounts receivable of $95,100 at March 31, 2007. An analysis of the accounts shows these amounts.
Balance, March 31
Month of Sale 2007 2006
March $65,000 $75,000
February $ 12,600 $8,000
December and January $10,100 $2,400
November and October $7,400 $1,100
$95, 100 $86,500
Credit terms are 2/10, n/30. At March 31, 2007, there is a $2,200 credit balance in Allowance for Doubtful Accounts prior to adjustment. The company uses the percentage of receivables basis for estimating uncollectible accounts.
Age of Accounts Estimated Percentage Uncollectible
Current 2%
1–30 days past due 7
31–90 days past due 30
Over 90 days 50
(a) Determine the total estimated uncollectibles.
(b) Prepare the adjusting entry at March 31, 2007, to record bad debts expense.
(c) Discuss the implications of the changes in the aging schedule from 2006 to 2007.

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

Question 225637: Thirteen decreased by three times a number is sixteen. I am not sure how to work this one. I have tried what I know how to do, but i amd confused.
Click here to see answer by checkley77(12844) About Me 

Question 225697: Linda and dave leave simultaneously from the same starting point biking in opposite directions. linda bikes at 5 miles per hour and dave bikes at 9 miles per hour. how long will it be until they are 30 miles apart from each other
Click here to see answer by rfer(16322) About Me 

Question 225686: Kevin invested part of his $10,000 bonus in a certificat of deposit that paid 6% annual simple interest, and the remainder in a mutual fund that paid 11% annual simple interest. if his total inerest for that year was $700, how much did kevin invest in the mutual fund?
Click here to see answer by checkley77(12844) About Me 

Question 225689: How much pure acid should be mixed with 2 gallons of a 50% acid solution in order to get an 80% acid solution?
Click here to see answer by checkley77(12844) About Me 

Question 225693: How can $28,000 be invested, part at 4% annual simple interest and the remainder at 10% annual simple interest, so that the interest earned by the two accounts is equal at the end of the year
Click here to see answer by checkley77(12844) About Me 

Question 225678: A motorcycle traveling at 70 miles per hour overtakes a car traveling at 30 miles per hour that had a three-hour head start. How far from the starting point are the two vehicles?
Click here to see answer by rfer(16322) About Me 

Question 225805: If Tom is reading a book that has 193 pages and he has read 3 pages more than one forth of the number of pages he hasn't read.
How many pages does he have left to read?

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

Question 225811: The radiator of Mark's 2003 Chevrolet holds 16 quarts. It is now filled with 20% antifreeze solution. How many quarts must Mark drain and replace with pure antifreeze for the radiator to contain a 50% antifreeze solution?
Note: You have only pure antifreeze available to add. You may not drain the entire radiator and fill it with 50% solution.

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

Question 225950: Express that area A of an equilateral triangle as a function of the perimeter P. My classmates and I have been trying to figure this out for two hours. The work is messy and complicated or I would have put it on here.
Click here to see answer by scott8148(6628) About Me 

Question 226047: Devon purchased tickets to an show for 9 adults and 2 chidren. the total cost was $160. the cost of a childs ticket was $8 less than the cost of an adults ticket. find the price of an adults ticket and a childs ticket
Click here to see answer by LtAurora(115) About Me 

Question 226153: There are 3 times as many boys as girls. If there are 24 more boys than girls, how many children are there altogether?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 226237: A developer paid $47,567.89 for 14 acres of land. How much was paid for 1 acre? Round to the nearest cent.
Click here to see answer by rfer(16322) About Me 

Question 226300: Joe Lick bought some 20-cent and 25-cent stamps. He bought 32 stamps in all, and paid $7.40 for them. How many stamps of each kind did he buy?
Problem Solving:Using Charts

Click here to see answer by drj(1380) About Me 

Question 226395: if a basketball player has a vertical leap of about 20 inches. what is his hang time?use the hang-time function v=48t^2
Click here to see answer by nerdybill(7384) About Me 

Question 226488: The graph of any equation of the form x= a constant yields a/an____?____line?
I'm not sure what the answer is. I'm a little confused, please help. Thank you

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

Question 226594: In a group of quarters and nickels, there are four more nickels than quarters. How many nickels and quarters are there if the coins are worth $2.30
Click here to see answer by RAY100(1637) About Me 

Question 226697: The length of a rectangle is four more than the width. The perimeter is 40 inches. Find the rectangle's measurements
Click here to see answer by drj(1380) About Me 

Question 227001: Bryan can buy candy canes at 4 for 50¢ and can sell them at 3 for 50¢. How many canes must Bryan sell to make a profit of $5.00?

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Question 227246: One number is 35 greater than a 2nd number. If the lesser number is subtracted from twice the greater number, the difference is 87. Find the numbers. Please provide a let statement as well. THNX!!!
Click here to see answer by solver91311(24713) About Me 

Question 227229: Allison has more than 2 but less than 3 hours to spend on her homework. She has work in math, english, and social studies. She plans to spend equal amounts of time studying English and studying social studies, and to spend twice as much time studying math as in studying english. a. What is the minimum number of minutes she can spend on english homework? b. What is the maximum number of minutes she can spend on social studies? c. What is the maximum number of minutes she can devote to math?
Click here to see answer by Theo(13342) About Me 

Question 227248: Mrs. Diaz wishes to save at least $1,500 in 12 months. If she saves $300 during the first 4 months, what is the least possible average amount that she must save in each of th remaining 8 months?
Click here to see answer by rfer(16322) About Me 

Question 227272: One side of a rectangle is 12 inches and the other side is x inches. What values of x will make the perimeter at most 44? Use P = 2L + 2W.
Click here to see answer by rfer(16322) About Me 

Question 227240: The length of a rectangle is 4 m greater than 5 times its width. Find the rectangle's dimensions if the perimeter is 20 meters.
Click here to see answer by checkley77(12844) About Me 

Question 227268: A rectangular Persian carpet has a perimeter of 240 inches. The length of the carpet is 30 inches more than the width. What are the dimensions of the carpet? Use P = 2L + 2W
Click here to see answer by checkley77(12844) 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