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

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Question 319528: Use your equation from part a to determine how many years it would take for the population to reach 12,000. Round to the nearest whole year when necessary. You must solve the problem algebraically and not use guess and check, trial and error, or other such methods. Population is 2500

Click here to see answer by stanbon(75887)

Question 319492: How would you solve this problem algebraically?
The sum of two angles is 180 degrees and the angles have a ratio of 7:8. What is the number of degrees in the smaller angle?
Click here to see answer by rfer(16322)

Question 319467: A yardstick measures 0.5 by 2 by 36 inches. How many yardsticks will fit in a box 2 inches wide and 36 inches high, if the length of the box is 24 inches?
Click here to see answer by checkley77(12844)

Question 319609: small pizza has a radius of 10 inches, and a medium pizza has a radius that is 20% larger. How much more pizza do you get with the medium pizza than with the small pizza? Express your answer as a percent.

Click here to see answer by Greenfinch(383)

Question 319408: Find a counterexample to the statement: The cube of a number added to the sum of three times the number and 3 is a prime number. Justify your solution by supporting it with step by step work.
Click here to see answer by ankor@dixie-net.com(22740)

Question 319689: Sally and Bill work at different jobs. Sally earns $12 per hour and Bill earns $10 per hour. They each earn the same amount per week, but Bill works 3 more hours. How many hours a week does Bill work?
Click here to see answer by checkley77(12844)

Question 319696: A siren that has a normal frequency of 1500 hertz is approaching you at 80 mph. What is the pitch that you will hear?
Click here to see answer by Alan3354(69443)

Question 319719: Archie went out for bagels and coffee for his co-workers every day. On Monday, he bought 3 bagels and 2 coffees and spent $2.54. On Tuesday, it cost him $2.46 for 2 bagels and 3 coffees. On Wednesday, he just bought for himself. What did he pay for one bagel and one coffee?
Click here to see answer by stanbon(75887)

Question 319628: 1 litre of liquid A has 20% more calories than l litre of liquid B. How many calories do 2 litres of liquid B contain, if 1 Litre of liquid A contains 600 calories?
A) 900 calories B) 1000 calories C) 833 calories D) 1200 calories E) 500 calories
Click here to see answer by edjones(8007)

Question 319779: A bicycle wheel has diameter 1m . if the bicycle travels one kilometer , how many revolutions does the wheel make ?
A) 1/pi B) 100/pi C) 500/pi D) 1000/pi
Click here to see answer by mananth(16946)

Question 319763: Fresh grapes contain 80% water by weight, whereas dried grapes contain 15% water by weight. How many pounds of dried grapes can be obtained from 34 pounds of fresh
grapes?
Click here to see answer by josmiceli(19441)

Question 319873: The polynomial 0.041h-0.018a-2.69 can be used to estimate lung capacity of a female with h incentimeters and age in years. Find the lung capacity of a 60 year-old woman who is 190 centimeters tall.
Click here to see answer by checkley77(12844)

Question 319898: How do you do this algebraically?
In a race, the top speed of one car is nine tenths of the top speed of another. After one half hour the faster car is 10 km ahead of the slower car. Find the rate of each car, assuming they started side by side.
Click here to see answer by ankor@dixie-net.com(22740)

Question 320097: a 115 Inch Board is Cut into Two Pieces. One Piece is Four Times the Length of the Other. Find the Lengths of the Two Pieces Results

Click here to see answer by vleith(2983)

Question 320100: At Halloween party, Fancy is throwing darts at jack-o-lanterns and witches. She gets 5 points for every jack-o-lantern she hits and 8 points for every witch. She has hit 13 jack-olanterns and witches altogether and has 80 points. How many jack-o-lanterns and how many witches has she hit?
Click here to see answer by stanbon(75887)

Question 320103: a 204 inch board is cut into two pieces. one piece is three times the length of the other. find the lengths of the two pieces
Click here to see answer by checkley77(12844)

Question 320025: The Wildlife Federation surveyed 220 San Diego residents. The results are as follows:

32 had a membership to the Birch Aquarium
57 had a membership to the San Diego Zoo
21 had both

Answer the following questions:

i. How many had only a zoo membership?
ii. How many had only an aquarium membership?
iii. How many belonged to either one or the other or both?
iv. How many belonged to neither?
***Also, construct a Venn diagram
Click here to see answer by Cathy11(2)

Question 320143: On 3 consecutive passes a football team gains 7 yards loses 20 yards and gains 20 yards, what number represents the total net yardage?

I think it is 7 because they lost and gained 20 so they cancel eachother out right?
Can you please help me?
Click here to see answer by solver91311(24713)

Question 320162: a 50 inch pipe is cut into two pieces. one piece is four times the length of the other. find the lengths of the two pieces
Click here to see answer by rfer(16322)

Question 320166: A large pizza at Mario�s has a 14-inch diameter and costs $12.95. If the medium
12-inch pizza costs the same per square inch, what is the cost of a medium pizza?
A. $11.10 B. $10.21 C. $9.51 D. $8.16
Click here to see answer by rfer(16322)

Question 320074: In her first year as a dog breeder, her dogs produced 2 puppies. In her second year her dogs produced three times as many puppies as the previous year. In her third year her dogs produced five times as many puppies as the first year. How many puppies have been produced in three years?

Click here to see answer by rfer(16322)

Question 320370: LeeAnne�s bike has tires with 18-inch diameters. She rides her bike for 12 minutes, at an average speed of 10mi/hour. How many times do her tires rotate during this ride?
Click here to see answer by checkley77(12844)

Question 320451: Amy paid $69.08 for a pair of running shoes during a 40% off sale, what was the regular price of amy's shoes?
Click here to see answer by rfer(16322)

Question 320505: How many committes can be formed from a group of 10 senators if each committe consists of 5 senators.
Click here to see answer by checkley77(12844)

Question 320536: If 19 is subtracted from 4 times a number, the result is 73. Find the number
Click here to see answer by unlockmath(1688)

Question 320359: At first two different pipes running together will fill a tank in 20/3 minutes. The rate that water runs through each of the pipes is then adjusted. If one pipe, running alone, takes 1 minute less to fill the tank at its new rate, and the other pipe, running alone, takes 2 minutes more to fill the tank at its new rate, then the two running together will fill the tank in 7 minutes. Find in what time the tank will be filled by each pipe running alone at the new rates.
Click here to see answer by ankor@dixie-net.com(22740)

Question 320565: Help please.
Each day we purchase 160 cans of beans per second. Use the fact that there are approximatly 3.2 x 10^7 seconds in a year to approximate how many cans of beans there are purchased in one year. Write your answer in scientific notation.
Click here to see answer by jim_thompson5910(35256)

Question 320608: Jeanna wants to buy a new boat for her family. she has two payment options. the first option is to pay a cash payment of $7,200. the second option is to finance the boat with a three-year installment loan. the loan requires a 10% down payment and 36 equal monthly payments of $205. according to this information, what would be the finance charge on the loan?
Click here to see answer by solver91311(24713)

Question 320603: Jose, Paul, and Dan went fishing. it was a good day, and all three of them caught a fish. Dan's fish weighed four times as much as Paul's fish, and Jose's fish weighed half as much as Dan's fish. altogether, the three fish weighed 21 pounds. how much did each fish weigh?
Click here to see answer by mananth(16946)

Question 320546: Two planes start from the same airport at the same time and travel in opposite directions. If the first plane travels at an average speed of 240 miles per hour and the second plane travels at an average speed of 320 miles per hour, in how many hours will the planes be 1400 miles apart?
Click here to see answer by mananth(16946)

Question 320719: The senate in a certain state is comprised of 59 republicans, 39 democrats, and 2 independents. How many committees can be formed if each committee must have 4 republicans and 3 democrats.
____ committees can be formed.
Click here to see answer by stanbon(75887)

Question 320673: A single die is rolled twice. Find the probability of rolling an odd number the first time and a number greater than 3 the second time.
Having trouble with the problem.
Click here to see answer by Fombitz(32388)

Question 320798: Please help me solve this problem.
Use the formula for nCr to solve.
An election ballot asks voters to select 6 city commissioners from a group of 18 candidates. In how many ways can this be done?
Click here to see answer by stanbon(75887)

Question 320689: The tires on Ms. Chou�s minivan are 17-inches in diameter. Her wheels rotate an average of 1200 times per minute while she is on the highway on her way to school. How fast is Ms. Chou driving in miles per hour?
Click here to see answer by ankor@dixie-net.com(22740)

Question 320895: I have a two part question.
A box without a top is constructed from a 4m by 8m piece of cardboard by cutting a square of side length x from each corner.
a. Find the volume (v) of this box as a function of x.
b. By sketching the graph of the function v(x), establish that v(x) attains a maximum value on the interval (0,2).
Click here to see answer by toidayma(44)

Question 320913: Please help!Of the 49 plays attributed to a playwright 20 are comedies, 14 are tragedies, and 15 are histories. If 1 play is selected at random, find the odds in favor of selecting a tragedy or a comedy.The odds in favor are______(simplify your answer. Answer should be in a ratio form a:b)
Thank you so much for the help.
Click here to see answer by vleith(2983)

Question 320930: An election ballot asks voters to select 6 city commissioners from a group of 12 candidates. In how many ways can this be done.
Use the formula nCr to solve.
I am stuck please help
Click here to see answer by nyc_function(2741)

Question 320928: The mathmatics department of a college has 14 male professors, 14 female proffesors, 7 male teaching assistants, and 14 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a teaching assistant or a female.
Click here to see answer by nyc_function(2741)

Question 320910: A building contractor is to dig a foundation 42 feet long, 24 feet wide, and 9 feet deep. The contractor pays $5.00 per load for trucks to remove the dirt. Each truck holds 8 cubic yards. What is the cost to the contractor to have all the dirt hauled away?
Not sure how to solve problem
Click here to see answer by Fombitz(32388)

Question 321015: I keep getting the wrong answer please help.
You are choosing between two health clubs. Club A offers a membership for a fee of $28 plus a monthly fee of $15.
Club B offers a membership for a fee of $24 plus a monthly fee of $16.
After how many months will the total cost of each health club be the same?
What will be the total cost for each club?
Click here to see answer by Fombitz(32388)

Question 320988: A watch loses 2 minutes every hour. If it now shows 8:45, what time was it displaying exactly 30 hours earlier?
A) 3:15 B) 1:45 C) 2:15 D) 2:45 E) 3:45
Click here to see answer by josmiceli(19441)

Question 321137: At last week�s hockey game involving Waterloo Blueberries, the price of a
platinum ticket was $25, the price of a gold ticket was $10, the price of a silver ticket was $5, and the price of a bronze ticket was $1.
(a) Jim buys 5 platinum tickets, 2 gold tickets and 3 silver tickets. Determine the average cost of the tickets that Jim buys.
(b) Mike buys 8 tickets whose average cost is $12. He then buys five more platinum tickets. What is the new average cost of the tickets that he has bought?
(c) Ophelia buys 10 tickets with an average cost of $14. Suppose that she buys n more platinum tickets. The new average cost of the tickets that she has bought is $20. What is the value of n?

Click here to see answer by mananth(16946)

Question 321142: I need help solving this word problem
Write a system of two equations in two unknowns for each problem. Solve each system by substitution.

Investing her bonus. Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did she invest at each rate?
Click here to see answer by mananth(16946)

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