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

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Question 1112223: The formula for the volume of a cylinder is V = πr2h. Find the nearest hundredth, the radius of the base of the cylinder if V = 714 and h = 6.00.
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Question 1112222: Rachels family drove 984 miles in 2 days. If the ratio of the distance covered each day was 20 to 21, find the number of miles they drove each day.
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Question 1112290: find Three consecutive positive integers such that the of the first and third, minus the second, is 1 more than 3 times the third
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Question 1112297: Mrs.Jonson just purchased a total of 12 books and magazines for her office. The total bill was $112. She spent $16 on magazines, and the books cost $12 each. How many books did she buy.
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Question 1112297: Mrs.Jonson just purchased a total of 12 books and magazines for her office. The total bill was $112. She spent $16 on magazines, and the books cost $12 each. How many books did she buy.
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Question 1112298: Mrs.Jonson just purchased a total of 12 books and magazines for her office. The total bill was $112. She spent $16 on magazines, and the books cost $12 each. How many books did she buy.
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Question 1112289: The length of a rectangular garden is 4 m greater than the width. The area is 60 m squared. What is the dimension
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Question 1112308: A plane flies 720 miles with the wind in 3 hours. the return trip (against the wind) takes 4 hours. what is the speed of the wind and the speed of the plane in still air
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Question 1112308: A plane flies 720 miles with the wind in 3 hours. the return trip (against the wind) takes 4 hours. what is the speed of the wind and the speed of the plane in still air
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Question 1112308: A plane flies 720 miles with the wind in 3 hours. the return trip (against the wind) takes 4 hours. what is the speed of the wind and the speed of the plane in still air
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Question 1112369: Five years ago, roel was three times old as his brother tony. In 10 years, he will be 10 years older thab tony. Find their present ages.
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Question 1112414: It takes Jose ten hours to harvest a field. Abhasra can harvest the same field in 13 hours. How long would it take them if they worked together?
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Question 1112536: The signal ratio (S) in decibels of am amplifier is modeled by S=10 log (P output/P input). If an amplifier gains 13 dB with an input of 9.8 W, what is the output power in W?

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Question 1112555: Mindy and Susan had some beans each.if Susan give 80 beans to mindy ,the 2 girls will have the same number of beans.if mindy gives 20 beans to Susan, Susan will have 5 times as many beans as mindy.How many beans did mindy have? and how many beans did both girls have altogether?
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Question 1112539: How long (in years) will it take the world population to double at an exponential growth rate of 1.64% per year? Round your answer 2 decimal places. Assume that the population of the world is 7 billion people.
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Question 1112526: The distance (in km) an object has fallen since it enters the earth's atmosphere is given by: s(t)= (5,000/t+1)-50,000.
After the object has traveled for 10 seconds after entering the atmosphere, find:
A) The distance it has fallen
B) Velocity
C) Acceleration

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Question 1112535: The percent of light p, as a decimal, that passes through a substance of thickness d, in meters, is given by log (p)=−kd. The value of k for this particular type of opaque glass is 6. How thick should a piece of this glass should be, so that only 20% of the light passes through it?

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Question 1112529: A girl is flying a kite in strong winds. She releases the string at a rate of 1 yard per minute (assume the string is straight). The kite remains 30 yards above the ground moving horizontally to the ground.
A) How fast is the kite moving horizontally away from the girl when there is 50 yards of string out?

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Question 1112605: The quantity of bacteria in a test tube grows exponentially at a rate of 3% per day for 12 days. Find the final amount if the initial amount was 800 units.

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Question 1112570: Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x- and y-variables. Solve the system by the elimination method. Be sure to state your final answer in terms of the original question.
A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing either $3,000 or $6,000. If the partnership raised $246,000, then how many investors contributed $3,000 and how many contributed $6,000?
x = $3,000 investors
y = $6,000 investors

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Question 1112752: The diameters of a small gear is 16 cm.That is 2.5 cm more than 1/4 of the diameters if the large gear.What is the diameter of the large gear?
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Question 1112751: The length of a train car is 50.6 ft.This is 5.8 ft less than 6 times the width.What is the width?
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Question 1112751: The length of a train car is 50.6 ft.This is 5.8 ft less than 6 times the width.What is the width?
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Question 1112736: 1) Let f(t)=(t^2+6t+4)(2t^2+5)
f'(t)=
f'(2)=
2) f(x)=4x / √8x2+5x−5.
Evaluate f′(x) at x=2
f′(2) =
.
3) Suppose that y=5(x2+6x)−1.
Find dy / dx =
4) Find f′(x) if
f(x)=(4x−4)^2⋅(3x^2+7)^2.
5) Differentiate y=(x^2+5 / x^2−5)^2.
dy / dx=




.

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Question 1112826: The sum of a number and its reciprocal is 10/3. Find the numbers
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Question 1112826: The sum of a number and its reciprocal is 10/3. Find the numbers
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Question 1112799: The cylinder of the pump on Mrachek Number One oil well is 3 inches in diameter, the pump made 3 strokes per minute and the length of a stroke is 8 inches. Find the flow in gallons per day. Round to the nearest gallon.
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Question 1112798: To test the flow of water through a 0.25 inch circular nozzle, a flow of 60 gallons was recorded in 10 minutes. Find the velocity in feet per second of the flow of water if the stream is as large as the nozzle.
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Question 1112921: A service organization will receive a bonus of $200 for collecting more than 1850 lb of aluminum cans during its four collection drives. On the fisrt three drives, the organization collected 505lb, 493lb, and 412lb. How many pounds of cans must the organization collect on the fourth drive to receive the bonus?
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Question 1112905: Estimate the area under the curve y = X³ from 2 to 5 using left endpoints with 10 rectangles.
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Question 1112955: Hi
1/4 of kens stampss is equal to 2/9 leroys stamps. Leroy has 3 more stamps than ken. How many stamps does leroy have.
thanks

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Question 1112955: Hi
1/4 of kens stampss is equal to 2/9 leroys stamps. Leroy has 3 more stamps than ken. How many stamps does leroy have.
thanks

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Question 1113006: A cylinder has a radius of 4 meters and an approximate volume of 351.9. To the nearest whole meter, what is the height of this cylinder?
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Question 1113004: The woods by Vince’s house have a direct path to his school. If he walks from his house through the woods, he walks approximately 26.9 meters to get to his school. Otherwise, from his house, he would need to walk south to the crosswalk then walk west to arrive at his school. If Vince walks the same distance south as he does west, how many meters south does Vince need to walk? Round your answer to the nearest tenth
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Question 1113004: The woods by Vince’s house have a direct path to his school. If he walks from his house through the woods, he walks approximately 26.9 meters to get to his school. Otherwise, from his house, he would need to walk south to the crosswalk then walk west to arrive at his school. If Vince walks the same distance south as he does west, how many meters south does Vince need to walk? Round your answer to the nearest tenth
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Question 1113015: You are offered two different sales jobs. The first company offers a straight commission of 6% of the sales. The second company offers a salary of $ 280 per week plus 4% of the sales. How much would you have to sell in a week in order for the straight commission offer to be at least as good?
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Question 1113057: A new cruise ship line has just launched 3 new​ ships: the Pacific​ Paradise, the Caribbean​ Paradise, and the Mediterranean Paradise. The Caribbean Paradise has 36 more deluxe staterooms than the Pacific Paradise. The Mediterranean Paradise has 37 fewer deluxe staterooms than four times the number of deluxe staterooms on the Pacific Paradise. Find the number of deluxe staterooms for each of the ships if the total number of deluxe staterooms for the three ships is 605.
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Question 1113058: A new cruise ship line has just launched 3 new​ ships: the Pacific​ Paradise, the Caribbean​ Paradise, and the Mediterranean Paradise. The Caribbean Paradise has 30 more deluxe staterooms than the Pacific Paradise. The Mediterranean Paradise has 35 fewer deluxe staterooms than four times the number of deluxe staterooms on the Pacific Paradise. Find the number of deluxe staterooms for each of the ships if the total number of deluxe staterooms for the three ships is 1165.
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Question 1113058: A new cruise ship line has just launched 3 new​ ships: the Pacific​ Paradise, the Caribbean​ Paradise, and the Mediterranean Paradise. The Caribbean Paradise has 30 more deluxe staterooms than the Pacific Paradise. The Mediterranean Paradise has 35 fewer deluxe staterooms than four times the number of deluxe staterooms on the Pacific Paradise. Find the number of deluxe staterooms for each of the ships if the total number of deluxe staterooms for the three ships is 1165.
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Question 1113089: The number of bacteria in a yeast culture grows at a rate which is proportional to the number present. If the population of a colony of yeast bacteria triples in one hour, find the number of bacteria which will be present at the end of 5 hours
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Question 1113145: Justify each step
X = (1620 - 0.6(200))/50
X = (1620 - 120)/50
X = (1500)/50
X = 30

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Question 1113220: An experienced bricklayer can do a project in 3 hours and his assistant can do the job in 6 hours. Find how much will it take if they both work together.
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Question 1113246: The cost (c) of operating a TV varies directly with the number (n) of hours it is in operation. The cost of operating a standard sized color TV continuously for 30 days is $15.00. At this rate, about how much would be the cost to operate the TV for one day?
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Question 1113314:  Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Emily needs 24 feet of the wire. Andy needs 15 yards of the wire. How much will each of them spend for​ wire?
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Question 1113361: Tim has 40 dimes and quarters with a total value of $7.75. How many dimes and how many quarters does he have?
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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