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

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Question 864302: Use the elimination method to solve the given system of equations. Please show all work.
x + 2y = 8;
4x – 5y = 6

Click here to see answer by DrBeeee(684) About Me 

Question 864304: Use the elimination method to solve the given system of equations. Please show all work
8x + 11y = 20
5x - 11y = -59

Click here to see answer by mananth(16946) About Me 

Question 864357: John had $30,000 to invest. He invested part of his money in bond paying 12% annual simple interest and the rest of the money in a savings account giving 4% annual interest. At the end of the year, he received $2,400 as extra income. How much money did john place in each investment.
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Question 864353: Merry had $20,000 to invest. She invested part of this money in bonds paying 10% annual simple interest and the rest of the money in a savings account giving 5% annual interest. At the end of the year, she received $1,800 as extra income. How much money did merry place in the savings account.
Click here to see answer by mananth(16946) About Me 

Question 864362: If 4 times the reciprocal of a number is 3 more than 5/2 times the reciprocal of that number, find the number.
Click here to see answer by mananth(16946) About Me 

Question 864366: What would be a word problem with an answer of (6 P 6)/2!2!
Click here to see answer by jim_thompson5910(35256) About Me 

Question 864405: Portland and Seattle are about 180 miles apart. The da Vinci family leaves Seattle at the same time as the Fermat family leaves Portland. The Da Vinci family travels at a constant speed of 55 mph to Portland, and the Fermat family travels to Seattle at a constant speed of 65 miles per hour.
When and where ( how many miles from Seattle or Portland) will the two families meet and pass on the road. Assume that neither family stops and the speed is constant. Use a table or a graph and an equation to model this situation. Explain how u solved the problem.
I need to know how to start these word problems :(

Click here to see answer by josgarithmetic(39616) About Me 

Question 864434: hello sir
my Q is find ratio
36 min to 3 hours

Click here to see answer by Fombitz(32388) About Me 

Question 864453: the base of a triangle is x feet and the height is (4 + 2x) feet. The area of the triangle is 60 square feet. What are the dimensions of the triangle (round to the nearest tenth if necessary)
Click here to see answer by josgarithmetic(39616) About Me 

Question 864563: Mario reduced a picture that is 10 inches long by 8 inches wide using a photocopier. The reduced picture is now 6 inches long. By what scale factor did the photocopier reduce the picture?
Click here to see answer by stanbon(75887) About Me 

Question 864549: Emma decided to put on a science show for her community. The price of admission is $4.25 in advance, and $5.50 at the door. After the show, Emma counts the tickets sold and finds that 558 people attended. She also counts the money from ticket sales and finds that she has collected $2,602.75. Emma would like to know how many people bought tickets in advance and how many people paid at the door.
*Rather than guessing and checking, I would like to learn another strategy to solve this problem. It would help greatly in the future for similar problems.*
Any help is greatly appreciated. Thanks in advance.

Click here to see answer by richwmiller(17219) About Me 

Question 864847: The tray table on the back of an airplane seat is 7 inches longer than it is wide. Find the length and width of this table if its perimeter is 62 inches.
Click here to see answer by ewatrrr(24785) About Me 

Question 864853: In a certain distribution of numbers, the mean is 80 and the standard deviation is 8. At least what fraction of the numbers are between 56 and 104? Give answers as common fractions reduced to lowest terms.
PLEASE HELP!!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 864851: Katie Campbell's Business professor lost his grade book, which contained Katie's five test scores. Each of which was an integer from 0 to 100. A summary of the scores indicates:
The mean was 88.
The median was 87.
The mode was 92.
The data set was not bimodal. What is the least possible number among the missing scores?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 865116: one leg of of a right triangle is 2 meters longer than the other leg. The hypotenuse is 2 meters less than twice the length of the shorter leg. Find the length of the shorter leg.
Click here to see answer by dkppathak(439) About Me 

Question 865605: I paid $55 for groceries and my boyfriend spent $116 for groceries, how much would I owe him? Considering we split all costs for our household expenses. Please help?
Click here to see answer by ewatrrr(24785) About Me 

Question 865750: A 40 inch ribbon is cut into two pieces. One piece is 2 inches shorter than twice the other. Find the length of both pieces.
Click here to see answer by edjones(8007) About Me 

Question 865866: Find the area enclosed by the curve 1-x^2, the line x=2,and the x-axis.
Click here to see answer by Fombitz(32388) About Me 

Question 865925: If a salesman travels 400 miles in 7 hours, how far will he travel in 23 hours? (Round to the nearest whole mile and be sure to use a comma.)

Click here to see answer by ewatrrr(24785) About Me 

Question 865934: If 4 sales people can sell 6 cars in an hour, how many cars would 5 sales people be able to sell in 8 hours
Click here to see answer by ewatrrr(24785) About Me 

Question 865938: Heather's penny bank is 1/10 full. After she adds 480 pennies, it is 1/2 full. How many pennies can Heather's bank hold?
Click here to see answer by ewatrrr(24785) About Me 
Question 865938: Heather's penny bank is 1/10 full. After she adds 480 pennies, it is 1/2 full. How many pennies can Heather's bank hold?
Click here to see answer by richwmiller(17219) About Me 

Question 865924: How do you show this math problem? You have 31 students who need to sell 400 candy bars at $.25 a piece
Is there more than one way to show this?
Thank You

Click here to see answer by richwmiller(17219) About Me 

Question 865969: Howard raises pigs. They consume approximately 3.4 kg of feed per day. How much feed does Howard need per week? 23.8

kg
Write an equation that expresses the amount of food, f, needed in relation to days,

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Question 865972: If you need .75 pounds of cheese to top a pizza, and you have 4 pounds of cheese at home, will you have enough to make 6 pizzas? Write an inequality where p = pizzas.
Thanks very much.

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Question 865974: An airplane flew a total of 2440 miles at an average speed of 405 miles per hour. If t = the time the airplane took to fly 2440 miles, which of the following units could apply to t?

Click here to see answer by josmiceli(19441) About Me 

Question 866154: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that solution A is 25% salt and Solution B is 50% salt. She wants to obtain 120 ounces of a mixture that is 35% salt. How many ounces of each solution should she use?
Click here to see answer by mananth(16946) About Me 

Question 866111: Rental cost cannot be more than 40% of the tenant's income. If the Rent is $1,150. What is the minimum the tenant must make to qualify? What is the formula for figuring this out?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 866222: Write an inequality to describe all the points on the coordinate plane above y = -4.
Click here to see answer by richwmiller(17219) About Me 

Question 866299: the difference between the digits of a two digit number is 1. the number itself is 1 more than 5 times the sum of its digits. if the units digit is greater than the tens digit, find the number.
Click here to see answer by Seutip(231) About Me 

Question 866365: According to the centers for disease control, the death rate as a result of a motor vehicle accident is 15.3 per 100,000 population. in 2005, there were 43,443 fatalities in motor vehicles. was was the population in the US in 2005?
Click here to see answer by ewatrrr(24785) About Me 

Question 866379: the of a rectangle is 4 feet less than twice the width.the area is 160 squ the are feet. find the length andd width of the rectangle and diagonal
Click here to see answer by josgarithmetic(39616) About Me 
Question 866379: the of a rectangle is 4 feet less than twice the width.the area is 160 squ the are feet. find the length andd width of the rectangle and diagonal
Click here to see answer by ewatrrr(24785) About Me 

Question 866555: vertically compress by a factor of 1/2 and translate down by 2
y=x^2

Click here to see answer by jim_thompson5910(35256) About Me 

Question 866480: Archeologists can use the known decay rate of Carbon- 14 to estimate the age of organic objects. Suppose Illinois Jones has discovered a wooden spear in a cave. If the wood contains 12% of it s original amount of Carbon- 14, approximately how old is the spear? The half-life of Carbon-14 is 5730.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 866720: You were hired at $8.00 an hour and year later your boss has agreed to pay you $10.00 an hour. By what percent has your hourly wage increased ?
Click here to see answer by josmiceli(19441) About Me 

Question 866918: You are given the vertex of a parabola and a point along the parabola. Do you have enough information to determine the equation of the parabola? If so, how do you? If not, what more do you need?
I'm pretty sure that you can solve this problem by inserting a number into the equaion of the parabola, either the vertex form: y= a(x-h)^2+k
or standard form:y=ax^2 + bx + c but I'm not sure where to go afterwards

Click here to see answer by josgarithmetic(39616) About Me 

Question 867092: Peter is throwing a surprise party for his friend Tammy. He has a budget of $350. If the restaurant charges $20 per person for drinks and food and a cleanup fee of $35, what is the maximum number of people that he can invite to stay within budget? Write and solve an inequality. (Hint: Don’t forget to include both Peter and Tammy as guests.)
Click here to see answer by JulietG(1812) About Me 

Question 867118: if f(x)=x-1/x+1,x is not equal to -1. prove that f(2x)=3f(x)+1/f(x)+3
Click here to see answer by jim_thompson5910(35256) About Me 

Question 867031: A recipe has 1 1/2 cup of flour, 2 cups of milk, 3/4 cup sugar, 1 stick of butter, and 1/2 tsp of vanilla. If you need 3 batches, how much do u need of each?
Click here to see answer by ewatrrr(24785) About Me 

Question 867247: hi guys ! i'm just a starter so help and plz plz don't make fun of me : now my question is -a/b do he is the same as a/b or what ? e.g -1/2 is 1/2 ? e.g ican write it 1/2 and plz explain :3 and again i'm just a starter :3
Click here to see answer by ewatrrr(24785) About Me 

Question 867328: a woman purchases 8 antiques spoons each year. she now owns 56 spoons. in how many year will she have 200 spoons in her collection?
Click here to see answer by josmiceli(19441) About Me 

Question 867349: A ball is dropped vertically from a height of 50 meters. After each bounce, the ball reaches a maximum height equal to 80 percent of the maximum height of the previous bounce.
a.) Write the first three terms of the sequence. Explain how you know what they are.
b.) Find the height to the nearest tenth of a meter of the ball after the tenth bounce. Show and explain your work.''.

Click here to see answer by josmiceli(19441) About Me 

Question 867322: 3. A ball is dropped vertically from a height of 50 meters. After each bounce, the ball reaches a maximum height equal to 80 percent of the maximum height of the previous bounce.
a.) Write the first three terms of the sequence. Explain how you know what they are.
b.) Find the height to the nearest tenth of a meter of the ball after the tenth bounce. Show and explain your work.

Click here to see answer by mananth(16946) About Me 

Question 867317: The school uses between 200 and 300 sheets of paper per school day. If paper costs the school $2.00 per 100 sheets, approximately how much does the school pay for paper every month? (Remember to only count school days!)
Click here to see answer by josgarithmetic(39616) 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