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

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Question 460595: The cost to produce one compact disc is $1.25 plus a one-time fixed cost of $2500. The revenue received from selling one compact disc is $10.00
a) Write a formula that give the cost C of producing x compact discs
b) Write a formula that gives the revenue R from selling x compact discs.
c) Profit equals revenue minus cost. Write a formula the profit P from selling X compact discs.
d) how many compact discs need to be sold to yield a positive profit.

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Question 560185: A family decides to rent a boat for the day while on vacation. The boat's rental rate is $500 for the first two hours and $50 for each additional half hour. Suppose the family can spend $700 for the boat. What inequality represents the number of hours for which they can rent the boat?
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Question 560188: The cost to produce one compact disc is $1.25 plus a one-time fixed cost of $2500. The revenue received from selling one compact disc is $10.00
a) Write a formula that give the cost C of producing x compact discs

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Question 560198: A mother wants to invest $12000 for her children's education. She invests a portion of the money in a bank certificate of deposit (CD sccount) which earns 4% and the remainder in a savings bond that earns 7%. If the total interest earned after one year is $720, how much money was invested at each rate?
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Question 560198: A mother wants to invest $12000 for her children's education. She invests a portion of the money in a bank certificate of deposit (CD sccount) which earns 4% and the remainder in a savings bond that earns 7%. If the total interest earned after one year is $720, how much money was invested at each rate?
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Question 560085: 12m+361=50m
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Question 560197: An insecticide contains 80 centigrams of inert ingredient for every 1 centigram of active ingredient. If the quantity of the insecticide weighs 243 centigrams, how much of each type of ingredient does it contain?
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Question 560240: I need help turning this word problem into an algebra problem.
The bus fare in a city is $1.50. People who use the bus have the option of purchasing a monthly coupon book for $21.00. With the coupon book, the fare is reduced to $0.50. Determine the number of times in a month the bus must 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 560304: From a certain point you observe that the top of a cliff has an angle of elevation of 45deg. If you move 60 metres directly away from the cliff along the horizontal ground, the angle of elevation is now observed to be 30deg. how high is the cliff?
Help please

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Question 560304: From a certain point you observe that the top of a cliff has an angle of elevation of 45deg. If you move 60 metres directly away from the cliff along the horizontal ground, the angle of elevation is now observed to be 30deg. how high is the cliff?
Help please

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

Question 560504: The smallest angle in a triangle is half of the largest angle. The third angle is 40° less than the largest angle. Find the measure of all three angles.
I don't know how to set up the problem, or what the equation would be equaled to.

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Question 560545: Full price tickets at a concert is $56.50. Students can purchase discounted tickets for $ 49.50. The total tickets sold were 3150 and the total amount was $157,647. How many full priced tickets were sold? How many discounted tickets were sold?
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Question 560621: I am trying to simplify this. I don't actually have to solve, just set up in an algebraic expression. Below the problem is the work I did, but it's wrong. I can't figure out why.
1.In a certain triangle the measure of one angle is double the measure of a second angle but is 10 degrees less than the measure of the third angle. [The sum of the measures of three interior angles of a triangle is always 180 degrees.] What is the measure of each angle?
180 = 2x + x + 2x + 10 = 5x + 10 = 180 5x = 170

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Question 560870: A restaurant sells 4 kinds of sandwhichs:turkey roast beef veggie ham.customers have a choice of 3 types of bread:wheat white rye.how many different sandwhichs are possible?
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Question 560887: I am helping my little sister with her math homework. The word problem is: There are 18 bikes in a bike rack. There are 4 more blue bikes than yellow bikes, and 2 less yellow bikes than green bikes. How many bikes of each color are in the rack? I figured out the answer by guessing and verifying with quick math(8 blue, 4 yellow and 6 green) but she needs to show how she arrived at those numbers. I know it's an equation but have been unable to figure it out. I'm sure it's so simple. Would appreciate your help on this. Thanks!!
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 560995: At the end of the 2000 WNBA regular season, the Houston Comets had 22 more victories than loses. The number of victories they had was three less than six times the number of losses. How many regular season games did the Houston Comets play during the 2000 WNBA season?
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Question 560875: Suppose that a strip of uniform width is plowed along both sides and both ends of a garden that is 120 ft long by 90 ft wide. How wide is the strip, if the garden is one-half plowed?
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Question 561016: Two angles are supplementary, one is 40*(degrees) more than three times the other. Find the smaller angle.
Multiple choice
a) 145* b) 75* c) 35* d) 105*
Show work please
THANK YOU!

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Question 561019: Joe has a collection of nickels and dimes that is worth $7.05. If the number of dimes were doubled and the number of nickles were increased by 8, the value of the coins would be $12.35. How many dimes does he have?
a) 8 dimes b) 43 dimes c) 24 dimes d) 49 dimes
please show work!
THANK YOU!!!

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Question 561027: Mrs. Boyd has a desk full of quarters and nickles. If she has a total of 26 coins with a total face value of $4.30, how many of the coins are nickles?
a) 20 nickles b) 11 nickles c) 13 nickles d) 15 nickles
Please show work.
THANK YOU!!

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Question 561189: A high school has 900 students attending a football game, 40% of whom wear a coat to the game. In the competing second high school, 75% of attending students wear a coat. Of the total attending, 52.5% are wearing a coat. How many students attended from the second school (total)?
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Question 562122: I need an equation for the tollowing word problem.
at your lemonade stand you charge .50 for 1/2 cup and .75 for a full cup at the end of the day you see that 12 cups have been used and you have made 8$ how name of each size of drink did you sell?

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Question 562393: the light and one lighthouse flashes every 8 seconds while the other light house flashes every 15 seconds. they flash together at midnight.what is the time when they next flash together?
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Question 562410: the light from one lighthouse flashes every 8 seconds while the other light house flashes every 15 seconds. they flash together at midnight.what is the time when they next flash together?
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Question 562639: The tens digit of a two digit number is twice the units digit. The sum of the digits is 12. Find the original number.
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Question 563206: Suppose Juan can bike 6 miles in 10 minutes. At this rate he can bike 15 miles in 25 minutes. If the rate remains constant, how many miles can he bike in 30 minutes?
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Question 563364: A 10-ft by 20-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 136ft squared, how wide is the walkway?
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Question 563444: Three more than five times a number is the same as thirty more than twice the number. Find the number.
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Question 563517: Using this model, find the percentage of participation that can be expected if $5 million is spent on this recycling project? Set up an equation and solve algebraically
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Question 563634: All twenty parking spaces in my favorite parking lot are filled. Some spaces are occupied bye motorcycles and others bye cars. Some people count to ten when they get angry, but that was not nearly enough for me. I counted wheels 66 to be exact. How many cars and how many motorcycles had invaded my territory?
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Question 563864: If a rowing team takes 2 hours to travel 16 miles with the current but takes 4 miles to travel the same distance against the current what is their rate of speed in still water?
Thank you!

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Question 563860: a store mixes kenyan coffee worth $12 per kilogram and venezuelan coffee worth $15 per kilogram. The mixture is to sell for $13 per kilogram. Find out how much of each should be used to make a 360 kilogram mixture.
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Question 563865: Two cars are traveling the same distance 180 miles. The first car is going from Bay City to Vernonville. The second car is going from Vernonville to Bay City. The first car is going 15 miles per hour faster than the second car. What is their rate of speed? How long does it take them to get to their destination?
Thank you!

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Question 563863: If x units of a product cost C dollars to manufacture and earn revenue of R dollars, the value of x where the expressions for C and R are equal are called the break-even quantity, the number of units that produce zero profit. Find the break-even quantity when C=15x+54000 and R=18x.
Thank you!

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Question 564021: An artifact was found and tested for its carbon-14 content. If 84% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon-14 has half-life of 5,730 years.
_______ years?

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Question 564123: A class is making an 5 liter acid solution. This 40% solution is obtained by mixing a 20% solution and a 60% solution. How much of each do you use?
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Question 564123: A class is making an 5 liter acid solution. This 40% solution is obtained by mixing a 20% solution and a 60% solution. How much of each do you use?
Click here to see answer by Alan3354(69443) About Me 

Question 564291: Of the 700 tickets sold to a movie, 530 were full-priced tickets costing $6 each. If the gate receipts were $4030, what did a student ticket cost?
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Question 564302: A ball is dropped from 30 meters. It bounces to 88 % of its previous height on each bounce. How high will the ball bounce on its 5th bounce?
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Question 564312: (-1/3)^n (this is a fraction raised to an exponent). "n" must be..
positive
an even number
negative
an odd number
or n must be 0
I thought it was even, but I'm not sure.

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Question 564306: A house was built in 1995 and it was valued at $225,000. Each year the house goes up 3%. What is the equation giving value of house x years after 1995, and how much will the house be in 2012?
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Question 564383: An appliance store has a particular microwave oven on sale for $125. If this is a 15% reduction in price, what is the regular price of the microwave oven?
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Question 564381: if it takes 1/2 hour to clean 1/8 mile, how long will it take to clean 2.5 miles

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Question 564509: The OfficeJet Printer can copy Maria's dissertation in 22 minute. The LaserJet Printer can copy the same document in 16 minutes. If the two machines work together, how long would they take to copy the dissertation?
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Question 564611: I am having trouble with figuring out how to solve this word problem. Please help me...
In a recent year, the estimated earnings for Jennifer Lopez was $2.5 million more than half the earnings for the band U2. If the total earnings were $106 million, what were the earnings for Jennifer Lopez and U2?

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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