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

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Question 1174939: A local television station sends out questionnaires to determine if viewers would rather see a
documentary, an interview show, or reruns of a game show. There were 400 responses with the
following results: 120 were interested in an interview show and a documentary, but not reruns;
16 were interested in an interview show and reruns, but not a documentary; 56 were interested
in reruns but not documentaries or interviews; 96 were interested in an interview show but not a
documentary; 40 were interested in a documentary and reruns; 24 were interested in an
interview show and reruns; 32 were interested in none of the three. How many are interested in
exactly one kind of show

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Question 1175870: A birdhouse has a square base with the side length of 2x - 3. What is the area of the base?
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Question 1175871: Write a trinomial that has 8x^2 as the GCF of its terms.
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Question 1175864: Ref. Question 1175744:
Re-worded first statement.
One third of an amount is added to the account yearly.
$5000 is deducted from account for expenses at end of year. At the end of 3 years, after deducting final $5000, the account has twice original amt. Determine original amt.

$15000 total deducted.
Unsure how to solve.

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Question 1175910: Hi
A merchant sold a total of 85 pots and pansand collected $1950. Each pot was sold at 5 dollars less than each pan. How much money was collected from the sale of pans. Thank u

Click here to see answer by josgarithmetic(39614) About Me 

Question 1175955: Find the average -5, -15, -2, 12, -8, and -6.
Click here to see answer by Alan3354(69443) About Me 

Question 1175954: 2 boxes have same volume. 1 box has a base of 5cm by 5cm. one box has a base of 10cm by 10 cm. How many times as tall is the box with the smaller base?
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Question 1175953: The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x) is the unit price. If p(x)=42(4) (-x)/(6) , find the revenue if 6 units are sold. Round to two decimal places.
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Question 1171012: The weight of a cement truck on its way to a construction site is given by W= 1200 +50m, where W is the combined weight of the truck and its contents in Ibs and m is the weight of each cubic metre of cement.
The truck must pass over a bridge with a maximum weight of 10, 000Ibs.
To be cost effective, the truck needs to carry at least 100m^3 per trip
Determine the possible values for W and m in this situation.

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Question 1171012: The weight of a cement truck on its way to a construction site is given by W= 1200 +50m, where W is the combined weight of the truck and its contents in Ibs and m is the weight of each cubic metre of cement.
The truck must pass over a bridge with a maximum weight of 10, 000Ibs.
To be cost effective, the truck needs to carry at least 100m^3 per trip
Determine the possible values for W and m in this situation.

Click here to see answer by ikleyn(52756) About Me 
Question 1171012: The weight of a cement truck on its way to a construction site is given by W= 1200 +50m, where W is the combined weight of the truck and its contents in Ibs and m is the weight of each cubic metre of cement.
The truck must pass over a bridge with a maximum weight of 10, 000Ibs.
To be cost effective, the truck needs to carry at least 100m^3 per trip
Determine the possible values for W and m in this situation.

Click here to see answer by greenestamps(13195) About Me 

Question 1158085: Finite Mathematics:
A lottery draws 5 numbers out of 45, and the order doesn't matter.
(a) How many ways can this be done?
(b) A player chooses 5 numbers. What is the probability that the player wins the lottery? (Enter your probability as a fraction.)

Click here to see answer by CubeyThePenguin(3113) About Me 

Question 1170832: The frame around a picture measures x inches across. The dimension of the picture frame is 28 inches by 32 inches. If the area of the picture is 192 square inches, find the dimensions of the picture.
Click here to see answer by CubeyThePenguin(3113) About Me 
Question 1170832: The frame around a picture measures x inches across. The dimension of the picture frame is 28 inches by 32 inches. If the area of the picture is 192 square inches, find the dimensions of the picture.
Click here to see answer by ikleyn(52756) About Me 
Question 1170832: The frame around a picture measures x inches across. The dimension of the picture frame is 28 inches by 32 inches. If the area of the picture is 192 square inches, find the dimensions of the picture.
Click here to see answer by greenestamps(13195) About Me 

Question 1167396: a job pays an annual salary of $30,150 which includes a holiday bonus of $750. If paychecks are issued twice a month what is the gross amount of each paycheck?

Click here to see answer by CubeyThePenguin(3113) About Me 
Question 1167396: a job pays an annual salary of $30,150 which includes a holiday bonus of $750. If paychecks are issued twice a month what is the gross amount of each paycheck?

Click here to see answer by ikleyn(52756) About Me 

Question 1176013: Hi
Bob had a 1680cm wire to make big and small squares. He made 3 times as many small as big squares. The length of one side of each big and small square are 12cm and 3cm respectively. How many small squares did he make

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Question 1128077: There is a 95% chance that Fred brushed his teeth before going to work this morning, and 5% chance that he used his wife�s toothbrush (it was dark). What is the probability that he brushed his teeth with his wife�s toothbrush?

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Question 1176070: Solve:
(ax - b) / c - (bx + c) / a = abc
axc - bca - bxac + ac = a^2bc^2


Not sure how to solve.

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Question 1176096: Hi
Bob had some money left after spending $9 on 4 files and 6 pens. If he were to buy one more file, he would be short 30cents. If he were to buy one more pen he would have 70 cents left.
What was the cost of each file.
How much money did he have at first.
Thanks

Click here to see answer by ikleyn(52756) About Me 

Question 1176100: Hi
A group of friends wanted to share equally the cost of a present. If each person paid $2.50 they would be short $17.40. If each were to pay $8.20 there would be $16.80 left.
How many people shared the cost.
What was the cost of the present.
Thank you

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Question 1176073: Solve:
ax - b / c - bx + c / a = abc
axc - bxac + ca = a^2bc^2
Not sure how to solve.
Entered incorrect e-mail on previous post.

Click here to see answer by Alan3354(69443) About Me 

Question 1176142: Bill's Roast Beef sells 8 times as many sandwiches as Pete's Deli. The difference between their sales is 609 sandwiches. How many sandwiches did each sell?

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Question 1176182: In Jacks piggy bank, there is a collection of pennies, nickels, dimes, and quarters which amounts to $2.87. The number of quarters is one less than twice the number of nickels. There are 4 more pennies than nickels. The number of dimes is twice the number of pennies. How many coins of each kind are there?
Click here to see answer by greenestamps(13195) About Me 
Question 1176182: In Jacks piggy bank, there is a collection of pennies, nickels, dimes, and quarters which amounts to $2.87. The number of quarters is one less than twice the number of nickels. There are 4 more pennies than nickels. The number of dimes is twice the number of pennies. How many coins of each kind are there?
Click here to see answer by josgarithmetic(39614) About Me 

Question 1176178: Suppose that the price per unit in dollars of a cell phone production is modeled by p=$45-0.0125x, where x is in thousands of phones produced, and the revenue represented by thousands of dollars is R=x•p. Find the production level that will maximize revenue.
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Question 1176194: Suppose that the price per unit (in dollars) of a cell phone production is modeled by p=$45-0.0125x, where x is in thousands of phones produced, and the revenue represented by thousands of dollars is R=x•p. Find the production level that will maximize revenue.
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Question 1176204: The 9 officers of the Student Council are going on a trip to an amusement park. Each student must pay an entrance fee plus $5 for meals. The total cost of the trip is $225. Solve the equation 9(e+5) = 225 to find the cost e of the entrance fee for each student.
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1176204: The 9 officers of the Student Council are going on a trip to an amusement park. Each student must pay an entrance fee plus $5 for meals. The total cost of the trip is $225. Solve the equation 9(e+5) = 225 to find the cost e of the entrance fee for each student.
Click here to see answer by ikleyn(52756) About Me 

Question 1176238: What are three different values for the expression x^2 + ______x +24 so that you can factor it into the product of two binomials?
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Question 1176238: What are three different values for the expression x^2 + ______x +24 so that you can factor it into the product of two binomials?
Click here to see answer by MathLover1(20849) About Me 
Question 1176238: What are three different values for the expression x^2 + ______x +24 so that you can factor it into the product of two binomials?
Click here to see answer by ikleyn(52756) About Me 

Question 1176250: A leaking faucet dripping once per second can waste x gal. per year. Determine amt.
Year = 31536000 sec.
31536000 drips per year.
Not sure how to solve.

Click here to see answer by greenestamps(13195) About Me 
Question 1176250: A leaking faucet dripping once per second can waste x gal. per year. Determine amt.
Year = 31536000 sec.
31536000 drips per year.
Not sure how to solve.

Click here to see answer by ikleyn(52756) About Me 

Question 1176265: So if $100 is invested at an interest rate of 8% compounded continuously, then the amount after 4 years is $

Correct: Your answer is correct.
. (Round your answer to the nearest cent.)

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Question 1176270: A bone is measured for its age and it is found that it contains 87.5 grams of Nitrogen-­‐14 for every 12.5 grams of Carbon-­‐14; how old is the bone?
Click here to see answer by Theo(13342) About Me 

Question 1176282: Hi
The table below shows the number of cookies that were eaten from Monday to Friday. On Monday 2/3 as many cookies were eaten as on Friday. An average of 6 cookies per day were eaten. How many were eaten on Friday.
Monday x cookies
Tuesday 8 cookies
Wed 3 cookies
Thurs 4 cookies
Friday x cookies
Thank you

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Question 1176309: A movie theater has a seating capacity of 291. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $2116, How many children, students, and adults attended?
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Question 1176369: Hi
The average mass of a group of boys was 52kg at first. One more boy weighing 84kg joined the group and the average mass became 56kg. Find the number of boys in the group now.
Thanks

Click here to see answer by ikleyn(52756) About Me 

Question 1176368: Hi
In January David spent $850 of his income and saved the rest. In February he increased his spending by 20% and his savings decreased by 40%. What was his average savings for the 2 months
Thanks

Click here to see answer by Theo(13342) About Me 

Question 1176374: Hi
Evan and his 3 friends scored an average of 80 marks. If Evan had scored 99 marks their average score would be 86 marks. How many marks did Evan score.
Thanks

Click here to see answer by ikleyn(52756) About Me 
Question 1176374: Hi
Evan and his 3 friends scored an average of 80 marks. If Evan had scored 99 marks their average score would be 86 marks. How many marks did Evan score.
Thanks

Click here to see answer by greenestamps(13195) About Me 

Question 1176337: Name all of the following data sets that you would expect to be skewed.
I. waiting times at the bank
II. salaries of teachers
III. selling price of homes
IV. fuel efficiency of compact cars
1. I and II
2. IV
3. I and II
4. I, II, and III

Click here to see answer by Boreal(15235) About Me 

Question 1175676: Construct a truth table for (~ p ^ q ) --> ( ~ q ˇ p )
Click here to see answer by CubeyThePenguin(3113) 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