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

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Question 168118: Last year a company spent $5,000 on office supplies. This year they spent only $4500. What is the percentage of decrease in their expenditure?
Click here to see answer by oscargut(2103) About Me 

Question 168117: An auto dealership had to reduce the number of cars in its lot by 700 cars. In the previous year they had 2500 cars on their lot. What is the percentage of decrease of cars?
Click here to see answer by checkley77(12844) About Me 

Question 168114: The price of a computer was reduced from $900 to $700. What is the percent of decrease?
Click here to see answer by checkley77(12844) About Me 

Question 168112: A company receives a grant of $12,000 to spend on improvements in 3 departments. The grant will be allocated as follows: 25%, 35%, and 40%. Find the amount allocated to each department.
Click here to see answer by checkley77(12844) About Me 

Question 168126: I don't understand it says to solve by the addition or subtraction method
2x+y=18
2x-y=22

Click here to see answer by Mathtut(3670) About Me 

Question 168122: Write an equation for the line with slope 3 going through the point (1,-2)
Click here to see answer by oscargut(2103) About Me 

Question 168128: Jim has a total of 50 coins. Some are nickels and some are dimes. Altogether he has $4.15. How many dimes does he have? How many nickels?
Click here to see answer by josmiceli(19441) About Me 

Question 168154: Swimming space. The length of a rectangular swimming
pool is 2x - 1 meters, and the width is x + 2 meters. Write
a polynomial A(x) that represents the area. Find A(5).
Can someone please help me figure out this problem. Thank you

Click here to see answer by gonzo(654) About Me 

Question 168160: What is the Pythagorean theorem? How is it used?
Click here to see answer by Mathtut(3670) About Me 
Question 168160: What is the Pythagorean theorem? How is it used?
Click here to see answer by gonzo(654) About Me 

Question 168172: Apply scientific notation to scientific models/ word problems.

1. Suppose the number of people who live in St. Jerome and pay a water bill is 1,430,000. If the average water bill per month is $80, what is the total amount of money received by the city for water yearly? (Write answer in scientific notation form.)

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

Question 168173: It takes Lucy 15 minutes longer to clean her garage alone than it takes her brother Billy. Together they can clean the garage in 4 minutes. If Lucy were cleaning the garage alone, how long would it take her to complete the job?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 168176: A bowling team in its first 19 games has a win to loss ratio of 7:12. If the same ratio holds for the 30-game season, how many games will the bowling team win?
Click here to see answer by stanbon(75887) About Me 

Question 168175: The reciprocal of the product of two consecutive integers is . Find the two integers
Click here to see answer by stanbon(75887) About Me 

Question 168174: The wave length (W) of a radio wave varies inversely as its frequency (F). A wave length with a frequency of 1200 kilohertz has a length of 300 meters. What is the length of a wave with a frequency of 800 kilohertz?
Click here to see answer by stanbon(75887) About Me 

Question 168151: If your friend take 5 hours longer to clean a house and together it takes 6 hours. How long will it take you to clean the house?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 168183: You are an American exchange student planning to study in Florence, Italy, during the winter term. In preparation for your trip, you consult the Italian school’s Web site to find out what the temperature is likely to be. However, the daily weather is given in the Celsius scale. Use the table to find a way to convert temperatures from Celsius to Fahrenheit.
(WATER) {FAHRENHEIT scale} [CELSIUS scale]
(Freezes) {32 degrees} [0 degrees]
(Boils) {212 degrees} [100 degrees]
(a) What are some of the strategies you might use to find a solution to this problem?
(b) Graph the information by drawing coordinate axes with degrees Fahrenheit, (TF), along the y-axis and degrees Celsius, (TC), on the x-axis . Plot the information on freezing and boiling temperatures as points on the graph.
(c) Devise a plan for how to use your graph to determine a relationship between TF and TC that can be used to convert Celsius into Fahrenheit measurements. Explain your strategy,
(d) Execute your strategy and find a relationship between these two temperature scales.
(e) Explain what the straight line on the graph tells us about the relationship between the two temperature scales.
(f) In pure math, when we draw a straight line through two points, we put an arrow on each end of the line to indicate that it continues infinitely in both directions. Would it be accurate to add arrowheads to the ends of the lines in your graph? Explain.
(g) Is there a way to find the coordinates of the point on your graph that would be halfway between the freezing point and the boiling point of water? If so, how?
(h) After implementing your strategy, would you do anything differently if you were confronted with the same problem again? Explain.

Click here to see answer by stanbon(75887) About Me 

Question 168127: Erin's age is 3 times Warren's. In 4 years she will be twice as old as he will be. How old is each now?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 168171: Apply scientific notation to scientific models/ word problems.

1. Suppose the number of people who live in St. Jerome and pay a water bill is 1,430,000. If the average water bill per month is $80, what is the total amount of money received by the city for water yearly? (Write answer in scientific notation form.)

Click here to see answer by checkley77(12844) About Me 

Question 168237: A small plane can fly 180 miles against a 30 mph wind in the same amount of time it takes to fly 540 miles with the 30 mph wind. What is the ground speed of the plane?
Click here to see answer by josmiceli(19441) About Me 

Question 168197: Jordan is twice the age of Luke who is 5 years older than Erin. If the total of their ages is 59, how old is Erin?
Click here to see answer by edjones(8007) About Me 

Question 168196: 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 edjones(8007) About Me 

Question 168256: Please help me solve this problem:

There is only one positive integer which is exactly twice the sum of its digits. Find this two digit number and show how you got your work.

Click here to see answer by 303795(602) About Me 

Question 168257: Please help me solve this problem:


Find both values of x which satisfy the equation x + 1/x = 7 + 1 /7 .

x= ___________________ or x= ______________________

Explain how you got your answers.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 168255: Please help me solve this problem:
There are three digits such that any two of them, written in any order, serve as the digits of a two-digit prime number. Find all three of these digits and give example of how you got the answer.



Click here to see answer by 303795(602) About Me 

Question 168354: While finding the amount of seed needed to plant his three square wheat feilds, Hank observed that the side of one feild was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers then what is the area of each field.
Click here to see answer by Mathtut(3670) About Me 

Question 168375: Please help me solve this problem:
A square picture is mounted in a frame 1 cm wide. The area of the picture is 2/3 of the total area. Find the lenght of a side of the picture.

thank you

Click here to see answer by checkley77(12844) About Me 

Question 168377: Two drivers leave Omaha at the same time, one driving east and the other west. The average speed of the eastbound car is 12km/h more than the speed of the other car. After 2h, the cars are 336km apart. What are their speeds?
Click here to see answer by Mathtut(3670) About Me 

Question 168379: A rectangle is three times as long as it is wide. If the length and the width are each increased by 4, the area is increased by 176. Find the dimensions of the orginial rectangle.
Click here to see answer by checkley77(12844) About Me 
Question 168379: A rectangle is three times as long as it is wide. If the length and the width are each increased by 4, the area is increased by 176. Find the dimensions of the orginial rectangle.
Click here to see answer by stanbon(75887) About Me 

Question 168387: Please help me solve this problem:
A rectangular counter is covered with 600 square tiles. The counter could have been covered with 400 tiles 1cm longer on a side. Fing the length of a side of the smaller tile.

Click here to see answer by stanbon(75887) About Me 

Question 168386: Please help me solve this problem:
A rectangular pond measures 3m by 5m. A concrete walk of uniform width is constructed around the pond. If the walk and pond together cover an area of 39m^2, how wide is the walk?

Click here to see answer by checkley77(12844) About Me 
Question 168386: Please help me solve this problem:
A rectangular pond measures 3m by 5m. A concrete walk of uniform width is constructed around the pond. If the walk and pond together cover an area of 39m^2, how wide is the walk?

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

Question 168421: I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Problem Solving Using Polynomial Equations
Solve.
A farmer plans to use 25m of fencing to enclose a rectangular pen that has a area of 63m^2. Only three side of the pen need fencing because part of a existing wall will be used for one of the longer sides. Find the dimensions of the pen.

Click here to see answer by scott8148(6628) About Me 

Question 168448: The number N of aluminum cans used each year varies directly as the numbe of people P using the cans. If 59 people use 20,532 cans in one year, how many cans are used in a city which has a population of 1,072,000?The numbe of cans used is ___ ?
Click here to see answer by eggsarecool(46) About Me 

Question 168447: Find an quation of variation where y varies directly as the square of x, and where y=0.40 when x=0.1.The equation of variation is y=
Click here to see answer by eggsarecool(46) About Me 

Question 168444: The amount Q of water emptied by a pipe varies directly as the square of the diameter d. A pipe 5 inches in diameter will empty 200 gal of water over a fixted time period. Assuming the same kind of flow, how many gallons of water are emptied in the same amount of time by a pipe that is 8 inches in diameter?____ gallons are emptied
Click here to see answer by eggsarecool(46) About Me 

Question 168450: The stopping distance d of a car after the brakes are applied varies directly as the square of the speed r. If a car traveling 60 mph can stop in 200 ft, how many feet will it take the same car to stop when it is travelling 80 mph?It will take __ ft.
Click here to see answer by Mathtut(3670) About Me 

Question 168445: A pitcher's earned-run average E varies directly as the number R of earned runs allowed and inversely as the number I of innings pitched. A certain pitcher had an earned-run average of 2.92, giving up 85 earned runs n 262 innings. How many earned runs would the pitcher have given up having pitched 333 innings with the same average?The pitcher would have given up ___ earned
Click here to see answer by Mathtut(3670) About Me 

Question 168451: The ratio of the weight of an object on Mars to the weight of an object on Earth is 0.4 to 1.a) How much will a 13 ton rocket weigh on Mars?b) How much will a 105lb astronaut weigh on Mars?
Click here to see answer by Mathtut(3670) About Me 

Question 168442: To determine the number of trout in a lake, a conservationist catches 193 trout, tags them and throws them back into the lake. Later, 24 trout are caught, 12 of them are tagged. How many trout are in the lake? The ratio of the weight of an object on Mars to the weight of an object on Earth is 0.4 to 1.a) How much will a 13 ton rocket weigh on Mars?b) How much will a 105lb astronaut weigh on Mars?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 168449: Electrical current. The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is 1/5 ampere when the resistance is 7500 ohms. What is the current when the resistance is 10800 ohms?The current is ___ ampere
Click here to see answer by josmiceli(19441) About Me 

Question 168441: Person A can paint the neighbor's house 5 times as fast as Person B. The year A and B worked together, it took them 3 days. How long would it take each to paint the house?Person A would take ___ daysPerson B would take ____days
Click here to see answer by josmiceli(19441) About Me 

Question 168465: Please help me solve this problem. I think I know the answer, but I need to make sure it's right.

A man born in the year x^2 died, on his 81th birthday in the year (x + 1)^2 .
In what year was he born? Please explain your answer.

Click here to see answer by oscargut(2103) About Me 

Question 168464: Please help me solve this problem.


A family, traveling along an interstate highway, at a legal speed, noted with suprise that their car's odometer reading was 45954, palindromic number (one which reads the same forward and backwards.) The family thought that such a palindromic mileage reading was unlikely to occur again in the near future. However, two hours later their car's odometer displayed yet another palindrome. Determine, in miles per hour, the car's speed during that two-hour period. Explain your answer in details.

_________________________________ miles per hour

Click here to see answer by ptaylor(2198) 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