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

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Question 1088858: If x+2 is a factor of x^3 - ax- 6,then find the remainder when 2x^3+ax^2-6x+9 is divided by x+1.
Please help me with this question.
Thank You.

Click here to see answer by MathTherapy(10549) About Me 
Question 1088858: If x+2 is a factor of x^3 - ax- 6,then find the remainder when 2x^3+ax^2-6x+9 is divided by x+1.
Please help me with this question.
Thank You.

Click here to see answer by ikleyn(52752) About Me 

Question 1088918: An amusement park sells 25 cent, 50 cent, and $1 tickets and a teacher purchases $32.50 worth of tickets. A student remarks that there are twice as many 50 cent tickets as there are $1 tickets and that the number of 25 cent tickets is 30 more than the number of 50 cent tickets. How many tickets of each type are there?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1088966: Mike had a jar of nickels that had five more nickels than he originally thought. If the total amount of nickels was $4.35, how many nickels did Mike think he had originally?


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Question 1088970: there were 619 people at a play. the admission price was 3$ for adults and $1 for children. the admission receipts were 1150$ how many children and adults attended
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Question 1089003: The sum of three numbers is 11. The sum of twice the first number,
4 times the second number, and 5 times the third number is 30. The
difference between 6 times the first number and the second number
is 47. Find the three numbers.

Click here to see answer by Boreal(15235) About Me 
Question 1089003: The sum of three numbers is 11. The sum of twice the first number,
4 times the second number, and 5 times the third number is 30. The
difference between 6 times the first number and the second number
is 47. Find the three numbers.

Click here to see answer by josmiceli(19441) About Me 
Question 1089003: The sum of three numbers is 11. The sum of twice the first number,
4 times the second number, and 5 times the third number is 30. The
difference between 6 times the first number and the second number
is 47. Find the three numbers.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1088830: The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1400 after 1​ day, what is the size of the colony after 4 ​days? How long is it until there are 90,000 ​mosquitoes?
What is the size of the colony after 4 ​days?  
Approximately __3842____ mosquitoes.
​(Do not round until the final answer. Then round to the nearest whole number as​ needed.)
How long is it until 90,000 mosquitoes are in the​ colony?
________ days.  
​(Do not round until the final answer. Then round to the nearest tenth as​ needed.)
I got the first but I need help with the second answer

Click here to see answer by Theo(13342) About Me 

Question 1089148: a board is 56 inches long and cutting into three pieces with the second piece being twice the length than the first and the third piece being five times longer than the first what are the lengths of the boards
Click here to see answer by josgarithmetic(39613) About Me 

Question 1089272: The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1400 after 1​ day, what is the size of the colony after 44 ​days? How long is it until there are 90,000 ​mosquitoes?
What is the size of the colony after 4 ​days?  
Approximately __3842____ mosquitoes.
​(Do not round until the final answer. Then round to the nearest whole number as​ needed.)
How long is it until 90,000 mosquitoes are in the​ colony?
________ days.  
​(Do not round until the final answer. Then round to the nearest tenth as​ needed.)
I got the first but I need help with the second answer

Click here to see answer by josgarithmetic(39613) About Me 

Question 1089275: After the release of radioactive material into the atmosphere from a nuclear power plant in a country in 1988​, the hay in that country was contaminated by a radioactive isotope​ (half-life 6 ​days). If it is safe to feed the hay to cows when 14% of the radioactive isotope​ remains, how long did the farmers need to wait to use this​ hay?
The farmers needed to wait approximately
________ days for it to be safe to feed the hay to the cows?
​(Round to one decimal place as​ needed.)

Click here to see answer by josgarithmetic(39613) About Me 

Question 1089276: The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1400 after 1​ day, what is the size of the colony after 4 ​days? How long is it until there are 90,000 ​mosquitoes?
What is the size of the colony after 44 ​days?  

Approximately 3842 mosquitoes.
​(Do not round until the final answer. Then round to the nearest whole number as​ needed.)
How long is it until 90,000 mosquitoes are in the​ colony?
About ________ days.  
​(Do not round until the final answer. Then round to the nearest tenth as​ needed.)
I have the approximate mosquitoes but not the number of days???

Click here to see answer by josgarithmetic(39613) About Me 

Question 1089273: 6.8.9 Question Help
The​ half-life of radium is 1690 years. If 40 grams are present​ now, how much will be present in 440 ​years?
_______ grams
​(Do not round until the final answer. Then round to the nearest thousandth as​ needed.)

Click here to see answer by josgarithmetic(39613) About Me 
Question 1089273: 6.8.9 Question Help
The​ half-life of radium is 1690 years. If 40 grams are present​ now, how much will be present in 440 ​years?
_______ grams
​(Do not round until the final answer. Then round to the nearest thousandth as​ needed.)

Click here to see answer by ikleyn(52752) About Me 

Question 1089300: Greg drove at a constant speed in a rainstorm for 252 miles. He took a​ break, and the rain stopped He then drove 240 miles at a speed that was 4 miles per hour faster than his previous speed. If he drove for 13 ​hours, find the​ car's speed for each part of the trip.
Click here to see answer by josgarithmetic(39613) About Me 
Question 1089300: Greg drove at a constant speed in a rainstorm for 252 miles. He took a​ break, and the rain stopped He then drove 240 miles at a speed that was 4 miles per hour faster than his previous speed. If he drove for 13 ​hours, find the​ car's speed for each part of the trip.
Click here to see answer by ikleyn(52752) About Me 

Question 1089398: the number of candies consumed varies inversely with the number of children present. when 12 children are present, 140 pieces are consumed. now if there are 8 children how many candies will be consumed?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1089426: Hi
an inground swimming pool is cylindrical. It has a height of 1.2m radius 1.8m. The floor and walls are to be cement rendered. Calculate the area to be rendered.
My answer is 21.49sq m textbook says its 23.75sq m
thanks

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Question 1089437: In a recent survey, 1/18 of customers said the big problem was a speaker system was fuzzy. 7/9 believed the problem was remembering to put ketchup in the bag. If 300 of the customers held one of these 2 views, how many customers were surveyed altogether?
Click here to see answer by ikleyn(52752) About Me 

Question 1089438: A shipment of 9tons of sugar is separated into containers of equal size. If the shipment fills 5 1/4 containers, how much sugar can one container hold
Click here to see answer by ikleyn(52752) About Me 

Question 1089432: If a store sold 25 pairs of socks, making a 25% profit of $150, how much did they charge for each pair?
Click here to see answer by Theo(13342) About Me 
Question 1089432: If a store sold 25 pairs of socks, making a 25% profit of $150, how much did they charge for each pair?
Click here to see answer by MathTherapy(10549) About Me 

Question 1089457: A circular field 56 ft. in diameter is to be changed to a square field with the same area. Determine length of a side of the square.

Area of circle; pi * r^2
3.1416 * 28^2 = 2463.0144 = 2463 sq. ft. (area of circular field).
Area of square; s^2
Unsure from here. Non-homework.

Click here to see answer by ikleyn(52752) About Me 

Question 1089513: In 3 bags there is 64,2 kg of sugar. In the second bag there is 4/5 from the amount of sugar in the first bag. In the third bag there is 42,5% from the amount of sugar in the second bag. What is the amount of sugar in every bag?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1089517: Franz intends to mix a solution containing 11% sugar with 24 miligrams of a solution containing 20% sugar. He is hoping to create a mixture that contains 15% sugar. How many milligrams of the 11% solution must he use?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1089586: The path of the ball is modeled by the function
h(x)=2.7x - 136(x^2)/(v^2) + 3.5
where h is the height of the ball above the floor, x is the forward distance of the ball in front of the foul line, and v is the initial velocity with which the ball is shot (ft/s).
Determine the initial velocity with which the ball must be shot in order for the ball to go through the hoop. The center of the hoop is 10 feet above the floor and 15 feet in front of the foul line.

Click here to see answer by ikleyn(52752) About Me 

Question 1089516: In 3 stores was distributed an amount of cherries. The relation between the three amounts is 6:4:3. In the 2nd store it was distributed with 150 kg. less that the other two stores gathered. How many kilograms of cherries was distributed in the 3 stores? Present the kilograms as percentage from the whole amount of cherries.
Click here to see answer by jorel1380(3719) About Me 

Question 1089614: A tank is 6 ft. in length and 16 in. in width. The ratio of depth to width is 3:4. Determine capacity in gallons.
231 cu. in. = 1 gal.
6 ft. = 72 in.
Not sure how to proceed. Non-homework.

Click here to see answer by jorel1380(3719) About Me 

Question 1089642: A circular field contains 10 acres. Determine length of fence to enclose the field.
Area of circle; pi * r^2.
Circumference of circle; pi * diameter.
Acre = 43560 sq. ft.
Not sure how to proceed. Non-homework.

Click here to see answer by josgarithmetic(39613) About Me 
Question 1089642: A circular field contains 10 acres. Determine length of fence to enclose the field.
Area of circle; pi * r^2.
Circumference of circle; pi * diameter.
Acre = 43560 sq. ft.
Not sure how to proceed. Non-homework.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1089648: In the early steps of SARS epidemic in China, thry were 100 persons infected that each day the nunber increase by 5%. After how many days would 500 persons be affected?
Its my problem it Gen Math 11th grade.

Click here to see answer by ikleyn(52752) About Me 

Question 1089647: In the early steps of SARS epidemic in China, thry were 100 persons infected that each day the nunber increase by 5%. After how many days would 500 persons be affected?
Its my problem it Gen Math 11th grade.

Click here to see answer by ikleyn(52752) About Me 

Question 1089685: A tank (open) has the following inside dimensions:
Length; 2 ft.
Width; 2 ft.
Depth; 1.5 ft.
Made of 1/8 in. thick lead.
Determine weight of tank.
Lead weighs .41 lbs. / cu. in.

Volume = length * width * height (or depth).
External volume: 24 * 24 * 18 * 0.125 = 1296 cu. in.
Internal: 24 * 24 * 18 = 10368 cu. in.
1296 - 10368 = -9072
Not sure. Non-homework.

Click here to see answer by ikleyn(52752) About Me 

Question 1089728: George needs 30 minutes to clean 120 plates. Christian needs 20 minutes to clean 120 plates. How much time will they need to clean the plates if they work together?
Click here to see answer by ikleyn(52752) About Me 

Question 1089729: Peter has 3 times the number of oranges Anna has. Together they have 24 oranges. How many oranges has Peter and how many has Anna?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1089834: Create a Two-Column and Paragraph Proof
1) Create a 2-column proof for the following equation.
X + X + 10 + 2(2X + 10) = 180
2) Create a paragraph proof for the above column proof.

Given: Angle 2 and Angle 4 are vertical angles
m angle 2 = 125 degrees
Prove: m angle 4 = 125 degrees
(picture http://imgur.com/WprWmb4

Click here to see answer by ikleyn(52752) About Me 

Question 1089836: A square inch opening has x cu. ft. of water exiting per minute.
What additional information is needed to calculate? Non-homework.

Click here to see answer by ikleyn(52752) About Me 

Question 1089859: Derek's car needs new struts. The equation above can be used to model the total cost of the repair,b, depending on How many labor hours,t, it takes to install the struts. What is the meaning of the number 85 in this model? -85t+ b = 190
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1089875: in abby's office there are 42 men the ratio of men to women in office is 7.5 how many women are in the office?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1089877: I couldn't find an option for composite functions, so I put this problem under miscellaneous problem.
If h(x) = x^2/4 and g(h(x)) = x/2, what is the value of g(x)?

Click here to see answer by ikleyn(52752) About Me 

Question 1089881: ( I have no idea what to do here as I am new to this type of equation, please help.)
Given: Angle 2 and Angle 4 are vertical angles
m∠2 = 125°
Prove: m∠4 = 125°
(there is a picture that goes with it)
http://imgur.com/z4JyPgA

Click here to see answer by math_helper(2461) About Me 

Question 1089874: all the roberts family reunion there are 48 men. the ratio of men to women at the reunion is 6.5. how many women are at the reunion?
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Question 1089908: LET UNION = {1,2,3....,10}, A= {1,3,5,7,9}, B= {1,2,3,4,5,6,} and c={2,4,6,7,8}
find (A-B) intersection (-C)

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Question 1089928: A store mixes Kentucky bluegrass worth ​$10 per pound and ryegrass worth $ 14 per pound. The mixture is to sell for ​$11 per pound. Find how much of each should be used to make a 360​-pound mixture.
Click here to see answer by ikleyn(52752) About Me 

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