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

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Question 898575: the current i in an electrical conductor varies inversely as the resistance R of the conductor. The current is 1/3 ampere when the resistance is 2025 ohms. what is the current when the resistance is 5625 ohms?
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Question 898583: Doubling time of an investment with continuous compound interest is 12.4 years. If the investment is worth $23000, how much will it be worth 5 years from now?
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Question 898777: A consultant traveled 465 miles to attend a meeting, traveling 55 mph hours for the first part of the trip, then increasing to a speed of 60 mph for the second part. If the entire trip took 8 hours, how far did the consultant travel at the faster speed?
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Question 898882: Electricity Generated by Windmills:
One growing community in California currently uses 2 megawatts (MW) of electricity per year. All this electricity is generated from coal. The community plans to add x MW of windmill generation capacity to its system to meet increasing demand. How many megawatts of windmill generation capacity must be built in order that 20% of the community's total electricity usage comes from windmills?

I know the answer is supposed to be .5mw but I am stumped as to what formula to use to get that answer.
If I turn it into a sentence, I'd say "What is 20% of 2 MW?" That will give me a 0.4 answer though, which doesn't fit the correct answer. :(

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Question 898927: A coffee merchant sells two different coffee blends. The Standard blend uses 4 oz of arabica and 12 oz of robusta beans per package; the Deluxe blend uses 10 oz of arabica and 6 oz of robusta beans per package. The merchant has 80 lb of arabica and 90 lb of robusta beans available. Find a system of inequalities that describes the possible number of Standard and Deluxe packages the merchant can make. Graph the solution set.
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Question 898921: The smallest positive integer with all of 2,3,4,5,8 and 10 as divisors is closest to
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Question 898920: Drug Concentration. When a pharmaceutical drug is injected into the bloodstream, it's concentration at time t can be approximated by C(t) = C0(e)^-kt, where C0 is is the concentration at t = 0. Suppose the drug is ineffective below a concentration C1 and harmful above concentration C2. Then it can be shown that the drug should be given at intervals of the time T. Where T = (1/k)ln(C2/C1).
A certain drug is harmful at a concentration five times the concentration below which it is ineffective. At noon an injection of the drug result in a concentration of 2 mg per liter of blood. Three hours later the concentration is down to 1 mg per liter. How often should the drug be given?

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Question 898946: An object’s weight depends on its height above the surface of the earth. If a man weighs 190 pounds on the surface of the earth, then the man's weight in pounds (W) x miles above the surface is approximated by the formula:
W = (190⋅4,000^2) / (4,000+x)^2
For each problem below, approximate the weight of a 190-pound person at the given height above the surface of the earth.
Remember, 1 mile = 5,280 feet.
1. 100 miles
2. 1,000 miles
3. 1,056,000 feet
4. 10,000,000 feet

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Question 899009: A grocer paid $360 for some crates of fruit. Four crates spoiled and have to be thrown away, but he sold the rest at an increase in price of $2 a crate, gaining $88. How many crates did he buy?
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Question 899063: Harry worked the following hours in a week. What are the average hours worked for these five days?
Monday 8
Tuesday 10
Wednesday 7
Thursday 9
Friday 6

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Question 899090: If lisa can mow a lawn by herself in 3 hours what is her rate?
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Question 899132: 66,546 people attended the Daytona 500 race. 2,456 fewer people attended the Indy 500 race. How many people attended both races.
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Question 899357: A tank can be filled in 12 minutes by two pipes running simultaneously. By the larger pipe it can be filled in 10 minutes less time than by the smaller. Find the time required for each to fill it.
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Question 899354: Kendra has $11.90 in dimes and quarters. If she has. 3 times as many quarters as dimes, how many of each coin does she have?
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Question 899343: 15-12+12+15+x-12=60
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Question 899394: a certain number of people have to pay equal amounts to a total of 720. if there were 3 persons less each person would have to pay 40 more. how many people were there originally?
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Question 899688: I need help! The question says (math) "The distance around the outside of cedar park is 0.8 mile. Joanie ran 0.25 of the distance during her lunch break. How far did she run?" I don't understand it!!!!!!
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Question 899688: I need help! The question says (math) "The distance around the outside of cedar park is 0.8 mile. Joanie ran 0.25 of the distance during her lunch break. How far did she run?" I don't understand it!!!!!!
Click here to see answer by MathTherapy(10549) About Me 

Question 899693: 3 friends each made 4 bags of tea . After 10 days each of those 4 bags is than divided into 4 more bags of tea . How many days pass before 192 bags of tea are made?
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Question 899714: If the perimeter of a rectangular fence is to be at least 100 feet and no more than 190 feet, and if the length of the fence must be 22 feet, which of the following inequalities best describes the range of values for the width of the fence?
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Question 899720: Three consecutive odd integers are such that the square of the third integer is 65 less than the sum of the squares of the first two. One solution is -7, -5, and -3. Find three other consecutive odd integers that also satisfy the five conditions.
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Question 899760: The height of a triangle is 2 more than the base. The area is 40 square feet. Find the base.
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Question 899777: Could you please help me with this question?
The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $24.00. With the coupon book, the fare is reduced to $1.00. Determine the number of times and the month the bus be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.

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Question 899860: An inlet pipe can fill a tank in 6 minutes. A drain can empty the tank in 18 minutes. If the tank is empty, and both the pipe and drain are open, how long will it take before the tank overflows?
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Question 899874: A water tank can be emptied by using one pump for 5 hours. A second, smaller pump can empty the tank in 7 hours. If the larger pump is started at 1:00 P.M., how much time should pass until the smaller pump is started so that the tank will be emptied at 5:00 P.M.?
Click here to see answer by stanbon(75887) About Me 
Question 899874: A water tank can be emptied by using one pump for 5 hours. A second, smaller pump can empty the tank in 7 hours. If the larger pump is started at 1:00 P.M., how much time should pass until the smaller pump is started so that the tank will be emptied at 5:00 P.M.?
Click here to see answer by richwmiller(17219) About Me 

Question 899859: Barry can do a certain job in 9 hours, whereas it takes Samuel 11 hours to do the same job. How long would it take them to do the job working together?
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Question 899897: Amy bought 3 burgers and 5 pies for 226 pesos. Ana bought 7 burgers and 2 hotdogs for 227 pesos. Leonardo bought 5 pies and 8 hotdogs for 322 pesos. How much would Donatello pay if he will buy a burger, a pie, and a hotdog?
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Question 899897: Amy bought 3 burgers and 5 pies for 226 pesos. Ana bought 7 burgers and 2 hotdogs for 227 pesos. Leonardo bought 5 pies and 8 hotdogs for 322 pesos. How much would Donatello pay if he will buy a burger, a pie, and a hotdog?
Click here to see answer by ewatrrr(24785) About Me 

Question 899940: Hi. It is problem for me to solve this in an elegant way' without tweaking, so would be thankful for any help.The nutritionist informed you that 2200 calories daily maintains the weight. If you decide to reduce the intake to 1500 calories daily, you'll loose 100 g daily. Your intention is to loose 6 kg in 42 days. If you wish to succeed, how many calories daily you are allowed?
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Question 899967: The airport garage charges $7 to park for the first hour and then $2.50 an hour for any additional hours. Ben paid $44.50 to park there one day when he flew to another city. How many hours was he parked at the airport ?
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Question 900014: A magazine ad states that 4 out of 7 doctors recommend floss. If 1400 doctors were surveyed, how many doctors recommend floss?
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Question 900014: A magazine ad states that 4 out of 7 doctors recommend floss. If 1400 doctors were surveyed, how many doctors recommend floss?
Click here to see answer by Alan3354(69443) About Me 

Question 900266: Worker A can do a piece of work in 20 days. Workers A and B in 15 days.
They work together for 6 days and then A leaves. How long will B take to finish the work ?

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Question 900324: Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 92 minutes. Billy could mow the lawn by himself in 25 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by himself?
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Question 900261: How many quarts of a 10% antifreeze solution must be mixed with 16 quartz of a 40% antifreeze solution to make a 30% solution?
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Question 900355: Keisha's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Keisha
$5.35
per pound, and type B coffee costs
$4.30
per pound. This month, Keisha made
126
pounds of the blend, for a total cost of
$595.35
. How many pounds of type B coffee did she use?

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Question 900353: Arthur weighs 34 lbs more than twice Lily's weight. Their combined weight is 18 lbs more than four times Lily's weight. How much does Arthur weigh?
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Question 900323: A boat traveled downstream a distance of 52 mi and then came right back. If the speed of the current was 5 mph and the total trip took 4 hours and 20 minutes, find the average speed of the boat relative to the water.
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Question 900321: The length of a rectangle is 11 centimeters less than three times its width. Its area is 42 square centimeters. Find the dimensions of the rectangle.
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Question 900605: The Natchez Trace Parkway is a historical 444-mile route from Natchez, Mississippi, to Nashville, Tennessee. A couple drove the Trace in four days. Each day they drove 6 more miles than the previous day. How many miles did they drive each day?

I set it up as follows: x+x+6+x+6+x+6=444
4x+18=444
4x=426
x=106.2 miles

Click here to see answer by stanbon(75887) About Me 
Question 900605: The Natchez Trace Parkway is a historical 444-mile route from Natchez, Mississippi, to Nashville, Tennessee. A couple drove the Trace in four days. Each day they drove 6 more miles than the previous day. How many miles did they drive each day?

I set it up as follows: x+x+6+x+6+x+6=444
4x+18=444
4x=426
x=106.2 miles

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

Question 900688: Ques-20 men can do a job in 23 days.if all the 20 men start working together and one man joins additionally then find the time taken to complete the work?
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Question 900791: Two candles have equal lengths. One is consumed uniformly in four hours, the other in five hours. If they are lit at the same time, when will one be three times longer than the other?
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Question 900749: A new photocopier works 2 times faster than the old one. When the machines work together, a university can produce all its staff manuals in 24 hours. Find the time it would take each machine, working alone to complete the job
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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