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

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Question 1033322: Find the quadratic function y=ax2+bx+c whose graph passes through the given points.
​(3,−11​), ​(−2​,−16​), ​(1,−1​)

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Question 1033141: The total cost of production varied linearly with the number produced. When 20 were produced, the cost was $450. When 30 were produced, the cost was $650. Write an equation that gives the cost as a function of the number produced, and find out what it would cost if 100 were produced.
--- I do not understand what it means to vary linearly. I understand varying inversely, and varying directly, but linearly is a new concept for me. An explanation of how to solve this word problem would be greatly appreciated. Thanks!

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Question 1033346: Ben sold his used snow plow and accessories for $352. If he received seven times as much money for the snow plow as he did for the accessories, find how much money he received for the snow plow. Create an equation for this situation.
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Question 1033379: A student did 3/5 of his homework and 8 more problems. Then his father came and did one fifth of the homework and the remaining 7 problems. How many problems did they solve?
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Question 1033351: The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 320 minutes, the monthly cost will be $132. If the customer uses 520 minutes, the monthly cost will be $202.
Find an equation in the form of y = mx + b where x is the number of monthly minutes used and y is the total monthly of the Splint plan.
Use your equation to find the total monthly cost if 997 minutes are used.
Answer: If 997 minutes are used, the total cost will be dollars.

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Question 1033394: Gold has a density of 19 320kg/m3. A salesman wants to sell you a metallic cube that weighs 500 grams, with side lengths of 3cm, for $80, which he claims is solid gold. Investigate whether you believe this item to be solid gold or another metal and justify your choice with clear mathematical working and explanations.
Click here to see answer by ikleyn(52754) About Me 

Question 1033321: The sum of three numbers is 10. The sum of twice the first number, 3 times the second number, and 4 times the third number is 31. The difference between 3 times the first number and the second number is -4. Find the three numbers.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1033418: You pick a whole number between 1 and 100. If A is the event that the number you picked is divisible by 3 and 7, what are the outcomes favorable to event A?

Is the answer -
A: 21, 42, 5, 63, 84

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Question 1033413: Stacy has 30 meters of fencing that she wishes to use to enclose a rectangular garden. If all of the fencing is used, what is the maximum area of the garden, in square meters, that can be enclosed?
A)48.75
B)56.25
C)60.50
D)168.75

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Question 1033408: Hi
the ratio of apples in box a to that in box b was 6:7.after one third of yhe apples in box a were moved to box b, there were 35 more apples in box b than in box a. How many were in box a initially.
thank you

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Question 1033017: You drop a ball from a height of 1.5 meters. Each curved path has 71% of the height of the previous path.
a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.
b. What height will the ball be at the top of the sixth path?

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Question 1033428: You have $36 to spend on posters for your bedroom you can buy a small poster X for four dollars and a large poster Y for six dollars. Write an equation that models the different number of posters you can buy.
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Question 1032744: A club held 9 meetings this month or 2 1/4 times as many as last month. Hoe many times did the club meet last month?
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Question 1032739: if a minor league plays 123 games in a season won 15 more games than three times as many as they loss how many games did they win and lose
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Question 1029443: The library got 1,678 books and has 12 groups of shelves and has 8 shelves on each group how many books will be on each shelve ??
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Question 1030292: For every 75 cars made at a factory, 1/3 are red, 20 are blue, and the rest are green. Seven out of every 10 blue cars have CD players and 40% of the red cars have CD players. No green cars are produced with CD players. If the factory produced 960 cars with CD players, how many green cars were produced?
Click here to see answer by jorel555(1290) About Me 

Question 1029586: Let's say a garden length 3 has a border of 12 tiles. how many tiles would a garden with a 152 tile border have? How many tiles in a border with the garden length 12?
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Question 1033495: The sum of two numbers is 80 and the first number is 20 more than the second.find the number
Click here to see answer by Alan3354(69443) About Me 

Question 1033494: Hi
Charlotte and Lydia shared cashew nuts in the ratio of 6:7.when Charlotte gave 36 nuts to Lydia the ratio of nuts Charlotte has to lydia is 9:17.how many nuts did Lydia have at first.
thank you

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Question 1033494: Hi
Charlotte and Lydia shared cashew nuts in the ratio of 6:7.when Charlotte gave 36 nuts to Lydia the ratio of nuts Charlotte has to lydia is 9:17.how many nuts did Lydia have at first.
thank you

Click here to see answer by josmiceli(19441) About Me 
Question 1033494: Hi
Charlotte and Lydia shared cashew nuts in the ratio of 6:7.when Charlotte gave 36 nuts to Lydia the ratio of nuts Charlotte has to lydia is 9:17.how many nuts did Lydia have at first.
thank you

Click here to see answer by MathTherapy(10549) About Me 

Question 1033514: a chemist needs 110 milliliters of an 80% solution but has only 76% and 98% solutions available.

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Question 1029220: Minh and Mikayla are selling wrapping paper for a school fund-raiser. Customers can buy either packages of folded paper or rolls of paper. Minh sold 6 rolls of paper and 2 packages of folded paper for a total of $44. Mikayla sold 3 rolls of paper and 9 packages of folded paper for a total of $54. How much does each roll cost? How mush does each package of folded paper cost?
Click here to see answer by jorel555(1290) About Me 

Question 1029376: Hi
Charlotte and Lydia shared some cashew nuts in the ratio 6:7.When Charlotte gave 36 nuts to Lydia the ratio Charlotte has to Lydia is 9:17.how many nuts did Lydia have at first.
thanks

Click here to see answer by jorel555(1290) About Me 

Question 1026909: The school that scott goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 10 adult tickets and 8 child tickets for a total of $246. The next day the school took in $102 by selling 2 adult tickets and 6 child tickets. Whats the price of an adult ticket, and the price of a childs ticket

Click here to see answer by jorel555(1290) About Me 

Question 1033566: Rachel bought 1.8 kilograms of flour. She used 550 grams to bake bread and 16% of the remainder to make some muffins. How much flour did Rachel have left? Give your answer in grams.
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Question 1033569: A cell phone plan charge is $34 per month +$0.08 per text message once you have gone over the allowed 5000. You are allowed to spend no more than $50 per month on your phone bill. What is the maximum number of takes you can send in a month?
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Question 1033571: The ratio of red jelly beans to yellow jelly beans in a dish is 3:4. If Greg eats 3 red jelly beans and 6 yellow ones, the ratio is 4:5. How many yellow jelly beans were in the dish?
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Question 1033476: Six 6-sided dice are rolled. What is the probability that three of the dice show prime numbers and the rest show composite numbers?
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Question 1033594: A 6 shelf bookcase has 8 books in each shelf. If only 4 shelves are to be used for all the books, how many more books will each shelf have?
12, 9, 4 or 2?

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Question 1033638: A drama class has a total of
38
students. The number of males is
6
more than the number of females. How many males and how many females are in the class?

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Question 1033638: A drama class has a total of
38
students. The number of males is
6
more than the number of females. How many males and how many females are in the class?

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

Question 1032482: A large pizza at a pizzeria is a circle with a diameter of 14 inches. Its box is a rectangular prism that is 14 1/8 inches long, 14 1/8 wide and 1 3/4 tall. Your job is to create a new shape for the large pizza
It can be any irregular polygon shape BUT
It must have at least 5 sides
Fit inside the large box listed above
And be cut into 8-12 equal slices.

Please help!
I know the area of the circle is 153.94inches
And the area of the rectangular prism is 496.91 inches
Now I was looking to use a 6 sided object but I have no idea what I am doing. Can someone please help me?

Click here to see answer by fractalier(6550) About Me 

Question 1033673: The profit that the vendor makes per day by selling x pretzels is given by the function P(x)= 11.1x^2+9.1x+11.2. Find the number of pretzels that must be sold to maximize profit.
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Question 1033689: The equation x%5E2+%2B+y%5E2+-+2x+%2B+8y+%2B+8+=+0 is the equation of a circle. Complete the square to change this equation to standard form. Find the radius and the coordinates of the center of the circle.
Not sure what the first step would be to solve this problem. Any help would be great. Thank you :)

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Question 1033684: sqrt%283%29+cis+15 2+cis+45 Multiply and express the answer in rectangular coordinates. Give an exact answer.
(sqrt3 cis 15°)(2 cis 45°)
--- Any help in solving this problem would be greatly appreciated. Thanks!

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Question 1033688: take 100 set of 10 tosses of an unbiased coin. in how many cases do u expect to get 7 heads at least

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Question 1033601: Political polls typically sample randomly from the U.S population to investigate the percentage of voters who favor some candidate or issue. The number of people polled is usually on the order of 1000. Suppose that one such poll asks voters how they feel about the President’s handling of the crisis in the financial markets. The results show that 575 out of the 1280 people polled say they either “approve” or “strongly approve” of the President’s handling of this matter. Based on the sample referenced above, find a 95% confidence interval estimate for the proportion of the entire voter population who “approve” or “strongly approve” of the President’s handling of the crisis in the financial markets.
Now, here’s an interesting twist. If the same sample proportion was found in a sample twice as large—that is, 1150 out of 2560—how would this affect the confidence interval?

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Question 1033723: The sum of two numbers is 18, the difference between them is three times the lesser number and the greater number is ten.
Define variables and formulate a system of equations, what is the greater number

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Question 1033723: The sum of two numbers is 18, the difference between them is three times the lesser number and the greater number is ten.
Define variables and formulate a system of equations, what is the greater number

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Question 1033805: mary was given 1/4 of a sum of money. the remaining money was shared between alice and cody in the ratio 4 : 5. what fraction of the sum of money did cody receive? Give your answer in the simplest form
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Question 1033921: If Tina walks .7 miles a day, how many more miles does she have to walk to get 6 miles?
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Question 1033982: 1 1/2 cups chocolate chips 1/2 cup creamy peanut butter 31/2 cups corn flakes cereal for 24 cookies i need to make this recipe for 100 and 500
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Question 1033986: If you are planning a 2000 mile road trip and your car gets 36mpg, if gas costs $1.90 per gallon how do you estimate the cost of gas for the trip?
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Question 1033985: If you are planning a 2000 mile road trip and your car gets 36mpg, if gas costs $1.90 per gallon how do you estimate the cost of gas for the trip?
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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