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

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Question 601819: Fill in the four blanks with the correct symbol such that the statement is true.
Use + , - , x, and ÷

The problem 2.56 _____ 6.4 ______ 51.2 _______ 17.4 ______ 89.7 = 72.62

Click here to see answer by flame8855(424) About Me 

Question 602123: To estimate animal populations, biologiest count the total number of animals in a small section of a habitat. TAhe total population of animals is directly proportional to the size of the habitat (in acres) polled. Write an equation using only one variable that could be used to solve for the constant of variation k.
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Question 602229: The population P of a certain city t years from now is given by
P=20,000e^0.05t
How many years from now will the population be 50,000?

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Question 602453: the ratio x:y = 1:2 and the ratio y:z = 4:5
what is the ratio x:z?

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Question 602453: the ratio x:y = 1:2 and the ratio y:z = 4:5
what is the ratio x:z?

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Question 602466: A pebble is hurdled upward from the top of a 1120-foot-tall building with an initial velocity of 144 feet per second. Neglecting air resistance, the height h(t) in feet of the pebble after t seconds is given by the polynomial function:
h(t)=-16t squared + 144t + 1120
When will the pebble hit the ground?

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Question 602469: Paul can do a job in two hrs..when Paul works alone ,he can do five jobs in 15 hrs.How many jobs can Mary do in 12 hrs, alone? Please show me step by step.
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Question 602812: At a certain party, first the ratio of boys to girls was five to three.If,after 10 boys left,the ratio became one to one, how many people were originally at the party ?Please show me the steps.
A.48 B.40 c.56 D.32 E. None of these

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Question 602808: If the average of m numbers is y, and when x is added to the m numbers, the average of the m+1 numbers is b, then x is equal to which of the following.Please show me the steps.
A. my+b B. 2my-mb C. b-y+my D. b(m+1)-my
E. none of these

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Question 602805: A student has taken T tests and has a 90 average What score must he get on his next test in order to raise his average to 91 ? Please show me the steps.
A. T+91 B. 2T+91 C.T-91 D.T+2 E.None of these

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Question 602831: 8146 to the nearest hundred
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Question 602877: How many three letter "words" composed from the 26 letters of the alphabet are possible? No duplication of letters are permitted.
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Question 602802: Story problem: LaToy had a large collection of basketball cards. She decided to give half of them to her friend, and a fourth to her brother. She still has 150 cards left. How many cards did she start with?
Click here to see answer by htmentor(1343) About Me 

Question 602969: It takes Nina 3 hours to proof a chapter of Hawkes Learning Systems' Statistics book and it takes Cynthia 12 hours. How long would it take them together?
Click here to see answer by ewatrrr(24785) About Me 

Question 603039: A boy is standing next to the chimney on top of the roof of a house, which is located on the top of a cliff. The chimney runs straight down into the fireplace at the floor of the basement of the house. The cliff on which the house is built rises 50 feet above the ocean below. The roof of the house is 18 feet above the ground on which it is built, and the floor of the basement is 9 feet below ground. He throws a ball straight upward with an initial velocity of 80 feet per second. At the moment the ball is released, the boy's hand is level with the top of the chimney 5 feet above the roof. From this information, it can be shown that the height h of the ball t seconds after it is released from the boy's hand is modeled by the following equation:
h(t)= -16t2 + 80t +73
to the nearest tenth of a second, determine the amount of time after the ball is released from the boy'y hand at which it lands in the fireplace in the basement of the house.

Click here to see answer by stanbon(75887) About Me 
Question 603039: A boy is standing next to the chimney on top of the roof of a house, which is located on the top of a cliff. The chimney runs straight down into the fireplace at the floor of the basement of the house. The cliff on which the house is built rises 50 feet above the ocean below. The roof of the house is 18 feet above the ground on which it is built, and the floor of the basement is 9 feet below ground. He throws a ball straight upward with an initial velocity of 80 feet per second. At the moment the ball is released, the boy's hand is level with the top of the chimney 5 feet above the roof. From this information, it can be shown that the height h of the ball t seconds after it is released from the boy's hand is modeled by the following equation:
h(t)= -16t2 + 80t +73
to the nearest tenth of a second, determine the amount of time after the ball is released from the boy'y hand at which it lands in the fireplace in the basement of the house.

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

Question 603080: Logan and Izzy had the same number of stickers. After Izzy gave him 72 stickers, Logan had 3 times as many stickers as Izzy. How many stickers did they have altogether?
I don't know how to do this.

Click here to see answer by KMST(5328) About Me 

Question 603168: An employee is making $12 an hour, if he gets a 5% pay increase what will his new pay rate be?
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Question 603165: A tank can hold 122,000 gallons of liquid. If the tank is filled 3/4 of the way how many gallons are in the tank?
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Question 603147: Please help me with this problem...
32=x-2+8
thanks

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Question 603252: Drew rode his bicycle from his house to school and back. The total trip took 50 minutes. If it took him x minutes to get to school, then it took him _____ minutes to get back from school.
You should be typing a first degree polynomial.

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Question 603448: A student's PID (personal identification number) is a sequence of six digits. How many different PID numbers are possible?
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Question 603240: Todd rode his bike 50 feet and counted 8 turns of his front wheel how many turns will the wheel make in 100 yards?

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Question 603514: In a psychology experiment, there are nine males and seven females availble to form a research group. How many different conbinations are possible if the group is to contain two males and two females?
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Question 603691: what is all the equivalents to 36/70?

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Question 603728: 240 people running a race 160 of them  have on white shirts 130 of them have on white shorts 68 of them have on neither how many have on both?
Click here to see answer by alicealc(293) About Me 

Question 603783: Four ball players have $233 between them. Melvin has $20 more than Harvey, $53 more than Bruce and $71 more than Rollo. How much money did each player have?
Click here to see answer by mananth(16946) About Me 

Question 603908: I need some help, no one has been able to answer this question.
A student is designing a club logo to be produced on a computer screen. The outline is a regular pentagon inscribed in a circle with radius 10. One vertex is at (0,10). Find (to the nearest thousandth) the coordinates of the other vertices.

Click here to see answer by stanbon(75887) About Me 
Question 603908: I need some help, no one has been able to answer this question.
A student is designing a club logo to be produced on a computer screen. The outline is a regular pentagon inscribed in a circle with radius 10. One vertex is at (0,10). Find (to the nearest thousandth) the coordinates of the other vertices.

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Question 603798: Under certain conditions, the power P, in watts per hour, generated by a windmill with winds blowing v miles per hour is given by P(v)=0.015v^3. Find the power generated by 21 mph winds.
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Question 604224: At the Golden Oldies Theater, tickets for adults cost $5.50 and tickets for children cost $3.50. How many of each kind of tickets were purchased if 21 tickets were bought for $83.50?
Click here to see answer by flame8855(424) About Me 

Question 604219: In Ms. Pham's social studies class, a test is worth four times as much as homework. If a student has an average of 85% on tests and 95% on homework, what is the student's average?
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Question 604216: How many liters of 24% salt solution must be mixed with 24 liters of a 40% salt solution to get a 34% salt solution?
Click here to see answer by mananth(16946) About Me 

Question 604225: Wes is mixing peanuts and chocolate pieces. Peanuts sell for $4.50 a pound and the chocolate sells for $6.50 a pound. How many pounds of chocolate mixes with 5 pounds to obtain a mixture that sells for $5.25 a pound?
Click here to see answer by alicealc(293) About Me 

Question 560153: A company produces a product on a number of machines. Each machine generates between $200 and $400 of revenue per day according to the uniform probability distribution. When a machine breaks down, it must be repaired, and the repair time may take 1, 2, or 3 days to be completed according to the following probability distribution:

Repair time in Days
Probability

1
0.30

2
0.45

3
0.25


The company would like to know whether it should purchase a back-up machine at a cost of $6000. The management has decided that if the loss of revenue due to machine downtime was $9000 or more per year, then a back-up machine should be purchased.

In order to perform the comparison, the management decided to develop a simulation model for this situation. To develop this model, they first needed to know the time between breakdowns. According to their estimate, the time between breakdowns is between 0 and 8 weeks, with the probability increasing the longer the machine went without breaking down. Thus the probability distribution of breakdowns looked like the following:


Perform an annual simulation and determine the loss of revenue due to machine breakdown. Next, decide whether a back-up machine would be needed. Show all work and explain your results. Please note that points are deducted if clear explanations are not included with the solutions. You may write your explanations in the Excel spreadsheet.

..

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Question 604366: A rectangular swimming pool that is 7 meters deep, 11 meters long, and 10 meters wide. water is $20 per kiloliter. How much will it cost to fill the pool?
Here is what I have written, just don't remember how to set it up properly.
7*11*10=volume*1 kl/m^3*20 $/kl=$15,400

Click here to see answer by KMST(5328) About Me 

Question 604463: Hello
Here is a word problem I am having trouble with.
Bob invests in two different retirement funds. He invests some money in a fund with 3% interest and twice as much money in another fund at 4.5% interest. Find the amount deposited at each rate if the total annual interest income is $3,000.
Here is the equation I have written but not sure if it is correct.
Thanks

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

Question 604361: A bug is placed on the road and its distance t seconds after it is put down is p(t)= -16t^2 + 64t. At what moment will the bug be 14 feet from where it began?
At what time will the bug turn around and head back to its starting place?
How far from where it began will the bug be when it turns around?

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

Question 604411: The outside measurements of a rectangular frame for a picture are 30 inches by 40 inches. The area of the rectangular picture inside the frame is 936 inches. Find the width of the frame that surrounds the picture.

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Question 604644: One number is 1 less than a second number. Twice the second number is 31 less than 5 times the first. Find the smaller of two numbers.
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Question 604758: Choose the system of equations in x and y describing the situation.
Leroy has $15 less in his pocket than Donna. If Donna hs $8 more, she would have 4 times as much money as Leroy. This confuses me. Which do I use to figure out the problem?
a) x=y-15
y-8=4x
b) x=y-15
y+8=4x
c) x=y-15
y+8=x+4
d) y=x-15
y+8=4x

Click here to see answer by alicealc(293) About Me 

Question 604828: If a rocket is propelled upward from ground level at 98 m/sec, its height in meters after t seconds is given by h=-4.9t+98t. During what interval of time will the rocket be higher than 445.9m?
Click here to see answer by stanbon(75887) About Me 

Question 605077: jeff takes 5 hours longer to build a fence than it takes bill. When they work togehter , it takes them 6 hours . How long would it take bill alone to do the job alone?
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Question 605307: how many 1 and 2/3 yard lengths of wire can be cut from 25 yards of wire

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Question 605299: Please help this is a part of Statistical Reasoning and I am completely lost.

Create a scatter plot using the following data. Tell whether the linear correlation is positive, negative, or neither. Let t be the horizontal axis and n the vertical axis.
t -6 -4 3 0 -2 -3 -1 1 2 -5
n 10 5 -7 -2 2 3 0 -5 -6 7





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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