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

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Question 214996: You have a pool in your backyard that is 80 foot by 60 foot. You want to build a walkway aound the pool. What is the maximum width of the walkway if you only have 360 feet of fencing?
a.) draw a picture to model this problem.
b.) write an expression that you could use to model this problem.
c.) make a table for how much fencing you would use if the walkway was 7, 8, 9, 10, or 11 feet
d.) write and solve an equation to find the maximum width of the walkway.
e.) how would this problem and solution change if you had 500 feet of fencing?

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

Question 215200: Harvey noticed that his gas is 1/4 full. He completely filled the tank by putting 9 gallons into it. What is the capacity of the gas tank?
Click here to see answer by RAY100(1637) About Me 

Question 215254: Respected Sir,
plz solve my probability sums..
1]Lottery balls numbered consecutively from 1 through 100 are placed in a spinner.If one ball is draw at random,what is the probability that it will have the number 1 on it exactly once?
waiting for yur reply.
thank u.
regards
binita

Click here to see answer by vleith(2983) About Me 

Question 215343: i am asking a question for my son i have not done algebra in some time and i dont believe he has the correct answer so here goes:out of the 960 tickets sold for the homecoming,45% were sold to guys at the dance. the average girl spends $20 for hair, $65 for dress, and $35 for shoes. the average guy borrows a shirt and tie but spends $25 for flowers. if no one goes with more than one date, and keeping in mind that tickets cost $20/person. How much is spent?
Click here to see answer by checkley77(12844) About Me 

Question 215399: a 20% solution of fertilizer is to be mixed with a 80% solution of fertilizer in order to get 120 gallons of a 60% solution. how many gallons of the 20% solution and 80% solution should be mixed?
Click here to see answer by checkley77(12844) About Me 

Question 215381: a family is planning to see their home. if they want to be left with $110,000 after paying 12% of the selling price to a realtor as a commission, for how much must they see the house?
Click here to see answer by checkley77(12844) About Me 

Question 215408: I am homeschooled with the School of Tomorrow, and am struggling with solving word problems involving two-digit numerals. The question I am having difficulty with now is this: "The value of a two-digit number is twice as large as the sum of its digits. If the digits were reversed, the resulting number would be 9 less than 5 times the original number. Find the original number." Thank you for your help!
Click here to see answer by stanbon(75887) About Me 

Question 215273: Roads are designed with parabolic surfaces to allow rain to drain off. A particular road that is 32" feet wide is 0.4 foot higher in the center that it is on the sides. Find the equation of the parabola that models the the road surface by assuming that the center of the parabola is at the origin.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 215569: Use a calculator to solve the problem. Laura Shawhan has a pumpkin patch with 13 rows of pumpkin plants. There are 2 rows with 88 pumpkins each and 11 rows with 105 pumpkins each.How many pumpkins does Laura have?
Click here to see answer by checkley77(12844) About Me 

Question 215633: Kim Fernando has just found the variance of a sample of 32 observations to be 64.0 by using a formula that is programmed into her new calculator. Therefore, what is the sample standard deviation?
Click here to see answer by RAY100(1637) About Me 

Question 215839: estimated number of deer in the park.Jared wants to estimate the number of deer in a 600 acre state park. When driving along the one mile side of the road that is on one side of the park, he can see an average of 50 yards into the park and he counts 7 deer. An acre is 4840 square yards, and a mile is 1760 yards. If the deer are evenly distributed throughout the park, what is the best estimate of the number of deer in the park?
Click here to see answer by checkley77(12844) About Me 

Question 215972: The European equivalent of 8 1/2” by 11” paper is called A4 paper, and its dimensions are 0.21 meters by 0.297 meters. What is the greatest total area, in square meters, that can be covered by 21 sheets of rectangular A4 paper? Express your answer as a decimal to the nearest tenth
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Question 215971: Brass is an alloy created using 80% copper and 20% zinc. If Henri’s brass trumpet contains 48 ounces of copper, how many ounces of zinc are in the trumpet?
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Question 215970: On a particular quiz, there are 15 easy questions and 15 hard questions. The easy questions are worth 4 points each, and the hard questions are worth 10 points each. No partial credit is possible. Sam earns a total of 92 points on the quiz. What is the greatest number of hard questions that he could have answered correctly?
Click here to see answer by checkley77(12844) About Me 

Question 215931: The question: The product of two negative numbers is 90. If x is one of the numbers, write their sum S as a function of x.
I'm not quite sure how it would be solved. The part that says "...their sum S as a function of x" is what confused me. Anyone who is willing to help is welcome to!

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

Question 215961: The height of an object is given by h=-16t^2+v^0t+h^0 ft. after t seconds, where v^0 is the initial velocity of the object in ft./sec and h^0 is the initial height of the object in feet.
An object is thrown upwards from the top of a 650ft. building at an initial velocity of 64 ft./sec.
a) For what t>0 is the object feet from the ground?

b)For what t.0 is the object on the ground?

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

Question 216001: If a hot-water faucet can fill a sink in 9 min. and a cold-water faucet can fill it in 6. Also, the drain is open which empties the sink in 25 min. How long will it take to fill the sink us...ing both faucets and the open drain???
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Question 216064: If a checker board had 8 rows and 8 columns how many squares are there? If you doubled the amount of rows and columns, how many squares would there be? The answer is 204, but I do not know how they got this answer. Please help.
Click here to see answer by Alan3354(69443) About Me 

Question 216271: A Teacher asked her class to raise their hand if they liked carrots. 11 students raised their hands. There were 9 students who raised their hands liking spinach. There were 7 students who did not like either of the vegetables. All 24 students in the class voted. how many students liked both carrots and spinach?
Click here to see answer by stanbon(75887) About Me 

Question 216346: I am a number greater than 99 and less than 1,000. Two of my digits that aren't next to each other are the same. My tens digit could not be greater and it is 1 more that my hundreds digit. What number am I?
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Question 216370: A certain captain being asked how many soliders he had in his company, replied: one half of them are in camp,
one third in the trenches, one eighth in the hospital, and four in prison. Of how many men did his company consist?

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Question 216418: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones and 4 blue ones.
What is the minimum number of jellybeans she must take out her pocket to ensure that she has one of each color?
I tried to do the problem. I thought maybe the answer could be 4
could u please give me the corrected as well formula? Thank you!

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Question 216429: When setting the price of admission tickets for the amusement park, Tabitha wants the price for a two-child, two adult family to be $100. She also wants the adult tickets to cost $8.00 more than twice the cost of a child's ticket. How much should a child's ticket cost?
Click here to see answer by rfer(16322) About Me 

Question 216506: A checker board has 8 rows and 8 columns how many squares are there?
If the total amount of squares were doubled, then how many squares are there?
The answer is 204 squares. Please help, I do not know how to get this answer.

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Question 216614: Please help me write an equation for this problem and then solve. You and your family are taking a trip. You begin with 17 gallons of gasoline in the fuel tank. Your car uses 3 gallons of gasoline per hour of driving. You will stop to refuel when there is exactly 2 gallons of gasoline remaining in the tank. How many hours can you travel before you stop to refuel?
Click here to see answer by rfer(16322) About Me 

Question 216700: I would like for someone to check my answers to make sure it's correct.
What is the volume of a cylinder that has a diameter of 2" and a height of 6"?
The steps I took:
Volume = 3.14 x r squared x height
To find radius, I divided 2 by 2 = 1
3.14 x 1 x 1 x 6 = 18.84"
Volume = 18.84"
Is this correct?

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Question 216771: It takes you 50 seconds to walk from the 1st floor to the 3rd floor. How long will it take to walk from the 1st floor to the 6th floor, if you are walking at the same speed and all floors are equivalent?
When trying to solve this, I divided the 50 seconds by the 3 floors and got 50/3. I then multiplied 50/3 by the 6 floors and got 100 seconds. This answer was incorrect, though.

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

Question 216547: Lita and Alvin have part-time jobs. On Monday, Lita works 3 hours 30 minutes while Alvin works 2 hours 30 minutes. Together, they earn $61.75. On Tuesday, Lita works 4 hours 30 minutes and Alvin works 5 hours 18 minutes. Together, they earn $100.25. What is each person’s hourly rate?
Click here to see answer by solver91311(24713) About Me 

Question 216875: A wooden board 41 feet long is a cut into three pieces. The 3rd piece is 8ft longer than the 1st piece and the 2nd piece is 5 less than the longer piece. Find the length of the three pieces. so that the length of each piece add up to 4
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Question 217060: You are in desperate need to find the square root of three. Your calculator has run out of batteries, you have no electricity, or phone. You only have an American history book. What would you do?
Click here to see answer by Alan3354(69443) About Me 

Question 217089: On three consecutive passes, a football team gains 10 yards, looses 37 yards, and gains 11 yards. What number represents the total net yardage?
The total net yardage is ____ yards
my answer is -16 is that correct?

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Question 217090: Trains A and B are traveling in the same direction on parallel tracks. Trains A is traveling at 80 miles per hour and train B is traveling at 90 miles per hour. Train A passes a station at 10:20 P.M. If train B passes the same station at 10:23 P.M., at what time train B catch up to train A?
My answer was 12:08 am is that correct?

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Question 217110: Cory buys and sells baseball cards on ebay. He always buys at the same price and then sells the cards for $2 more than he buys them. One month he broke even
after buying 56 cards and selling 49. Find his buying price and selling price.

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Question 217111: Jay Leno’s collection of cars and motorcycles totals 187. When he checks the air in the tires he has 588 tires to check. How many cars and how many motorcycles does he own? Assume that the cars all have four tires and the motorcycles have two.

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Question 217133: Fertilizer with weed control costing $38 per 50- pound bag is to be mixed with a less expensive fertilizer costing $6.00 per 50- lb bag to make 16 bags of fertilizer that can be sold for $28.00 per bag. How many bags of cheaper fertilizer should be used.
Click here to see answer by stanbon(75887) About Me 

Question 217091: Amy paid $95.09 for a pair of running shoes during a 30% off sale. What was the regular price?
My answer is $135.84 is that correct?

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Question 217080: 1. The illumination produced on a page by lamp is directly proportional to the wattage of the lamp and inversely proportional to the square of the distance between the lamp and the page. Let L1 be the illumination when the distance is 4feet and the wattage is 125 and L2 the illumination when the distance is 5feet and the wattage is 75. Then find the ratio of L1 to L2.

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Question 216768: Suppose you have a pipe with a circumference of 8 cm and length of 20 cm and that 8 turns of a wire are wrapped around the pipe. What is the length of the wire?
The wire is wrapped around this cylinder in somewhat a diagonal from the top to the bottom. The wire does not cover the top or the bottom.
While working, I thought I should just multiply the 8 turns by the 8 cm circumference, but that does not give me the correct answer.

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

Question 217221: Suppose a 12-foot ladder is leaning against a wall so that its base is 2 feet from the edge of the wall. As you climb to the very top of the ladder, you find you can reach 7 feet above the top of the ladder. To what height are you reaching(in feet, to one decimal place)?
Click here to see answer by rfer(16322) About Me 

Question 217220: A city block 500 feet by 500 feet is an unobstructed paved lot, except for a small office building 100 feet by 100 feet, centered in the middle of the block. What's the shortest distance from the SW corner to the NE corner, going through the paved lot and along(but not through) the building (to the nearest foot)?
Click here to see answer by rfer(16322) About Me 

Question 217218: A projectile is fired directly upward with a muzzle velocity of 860 feet per second from a height of 7 feet above the ground.
a. Determine a function for the height of the projectile t seconds after it's released.
b. How long does it take the projectile to reach of height of 100 feet on its way up?
c. How long is the projectile in the air?

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Question 217266: To make low-fat cottage cheese, milk containing 4% butterfat is mixed with milk containing 1% butterfat to obtain 15 gallons of mixture containing 2% butterfat. How many gallons of each milk must be used?
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Question 217275: a ten year old truck has 100,000 miles on the engine when the transmission fails in the truck. there are two replacements available- one transmission will last for 20 years, or 50,000 miles, and the other transmission will last for 8 years, or 75,000 miles. Given the current average yearly mileage on this truck, which transmission would last the longest?
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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