Questions on Algebra: Equations answered by real tutors!

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Question 983940: Why is y= and f(x)= considered the same thing? feel dumb right now...
Click here to see answer by josgarithmetic(39616) About Me 

Question 983941: Confusion with basic division and multiplication.
If 8 men can chop 9 cords of wood in 6 hours, how amny hours will it take 4 men to chop 3 cords of wood?
I saw an answer to this that went something like
8M takes 6H to chop 9C
1M takes (6*8)=48H to chop 9C
1M takes (48/3)=16H to chop 3C
Hence, 4M takes (16/4)=4h to chop 3c
Answer 4 Hours
I don't understand any of this. Why is it 6*8? for one person to cut 9C?
then why does the hour change why is 48 then divided by 3? or maybe I copied that wrong?
and finally where does the 16 come from and why is it being divided by 4? It doesn't make sense to me.
Please explain
Thanks

Click here to see answer by macston(5194) About Me 
Question 983941: Confusion with basic division and multiplication.
If 8 men can chop 9 cords of wood in 6 hours, how amny hours will it take 4 men to chop 3 cords of wood?
I saw an answer to this that went something like
8M takes 6H to chop 9C
1M takes (6*8)=48H to chop 9C
1M takes (48/3)=16H to chop 3C
Hence, 4M takes (16/4)=4h to chop 3c
Answer 4 Hours
I don't understand any of this. Why is it 6*8? for one person to cut 9C?
then why does the hour change why is 48 then divided by 3? or maybe I copied that wrong?
and finally where does the 16 come from and why is it being divided by 4? It doesn't make sense to me.
Please explain
Thanks

Click here to see answer by josgarithmetic(39616) About Me 

Question 983948: Compare the following rates. Label as fastest, medium, and slowest: 1780 yards per minute, 62 miles per hour, or 86 feet per second?
Click here to see answer by mananth(16946) About Me 
Question 983948: Compare the following rates. Label as fastest, medium, and slowest: 1780 yards per minute, 62 miles per hour, or 86 feet per second?
Click here to see answer by avrybrdly93(1) About Me 

Question 983974: Why is that mathematians seem to prefer using radians as opposed to degrees?
Thanks

Click here to see answer by josgarithmetic(39616) About Me 
Question 983974: Why is that mathematians seem to prefer using radians as opposed to degrees?
Thanks

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

Question 983973: How is the derivative AND the integral of e^x equal to itself? This just baffles me.
Click here to see answer by Timnewman(323) About Me 

Question 984007: Solve for Y
-8x+4y=20

Click here to see answer by Fombitz(32388) About Me 

Question 984000: plese help me..
the average value of student daughter and the boys in the class Q are respectively 85 and 78. If the average value of the class is 83, the percentage of the number of boys to the number of students in the class Q is ...%
thanks you very much..

Click here to see answer by Boreal(15235) About Me 

Question 984084: The fourth part of a number exceeds the sixth part by 4. The number is
Please help me to solve this question sir

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

Question 984089: How do you graph this inequality?:
11 < 4x+3y < 15
( the "<"'s are supposed to have a line under them)
-Thank you.

Click here to see answer by macston(5194) About Me 

Question 984090: Hello, I am having trouble understanding and solving this problem:
A furniture company makes desks and cairs. A carpenter can make a chair in 5 hours and a desk in 8 hours. Finishers take 2.5 hours to paint a chair and 2 hours to paint a desk. The carpentry department has enough people to work up to 400 hours per week, and the finishing department can put 120 hours per week.
(a.) Write a system of inequalities to model the situation.
(b.) Graph the system to show the possible numbers of desks and chairs the company can produce in a week.
-Thank you.

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

Question 984087: what is culmination of equation y = x^2 + 5 ?
Click here to see answer by Alan3354(69443) About Me 

Question 984153: I would be very thankful for your help!
1. The manager at Jen and Berry’s Ice Cream Company estimates that the cost C (in dollars) of producing n quarts of ice cream in a given week is given by the equation C = 560 + 1.20n.
(a) During one week, the total cost of making ice cream was $1070. How many quarts were made that week?

Click here to see answer by josgarithmetic(39616) About Me 

Question 984151: I would appreciate your help!
If k stands for an integer, then is it possible for k^2+k to stand for an odd integer? Explain.

Click here to see answer by josgarithmetic(39616) About Me 
Question 984151: I would appreciate your help!
If k stands for an integer, then is it possible for k^2+k to stand for an odd integer? Explain.

Click here to see answer by reviewermath(1029) About Me 
Question 984151: I would appreciate your help!
If k stands for an integer, then is it possible for k^2+k to stand for an odd integer? Explain.

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

Question 984172: please help me solve this equation : 2x/x+2=1
Click here to see answer by satyareddy22(84) About Me 
Question 984172: please help me solve this equation : 2x/x+2=1
Click here to see answer by josgarithmetic(39616) About Me 

Question 984167: what is culmination of equation y^2 = 4x ?
Click here to see answer by josgarithmetic(39616) About Me 

Question 984173: how many gallons of pure disinfectant must be.mixed with 10 gal with 16% disinfectant solution to make to obtain 30% solution?
Click here to see answer by Alan3354(69443) About Me 

Question 984262: Confused on what squaring and area mean exactly. Why, for instance why someone says a square mile and square foot this is always the same size on all four sides. Why does squaring a number give a square in terms of area/perimeter. Like if a square is 3 on all four sides that's an area of 9 and a perimeter of 12 why does 3^2 do this. Why does squaring give the correct answer. This is the height and length? I am so confused
Click here to see answer by josgarithmetic(39616) About Me 

Question 984285: A population of 1200 people was reduced to 900 people in recent disaster. It is estimated that the humans will reproduce at a 5% rate. What equation should i use to predict how long it will take to restore the population of the people? (People were used as an example)
Click here to see answer by josgarithmetic(39616) About Me 

Question 984306: If x^3 < 0, then sqrt (25x^2) +5x= ?
The answer is supposed to be 0, but I don't see how they got that.

Click here to see answer by Boreal(15235) About Me 

Question 984317: Find an equation of the line with the given slope that passes through the given point. Write the equation in the form AX=BY=C
M=8, (6,6)
Ax+By=C is:

Click here to see answer by Boreal(15235) About Me 

Question 984322: Find an equation of the line with the given slope that passes through the given point. Write the equation in the form AX=BY=C
M=8, (3,3)
The equation of the line in the form Ax+By=C is:
Please simplify your answer

Click here to see answer by solver91311(24713) About Me 

Question 984339: Find an equation of the line with the given slope that passes through the given point. Write the equation in the form AX=BY=C
M=8, (3,3)
The equation of the line in the form Ax+By=C is:
Simplified answer

Click here to see answer by Fombitz(32388) About Me 

Question 984343: v1+v2=0.solve for v1
Click here to see answer by vleith(2983) About Me 

Question 984287: The population of the flying fox colony was reduced from 1200 animals to 900 in the recent floods. It is estimated that the flying foxes will reproduce at a rate of 5%. What equation what i use for this situation and what would my answer be? Please go into detail so i understand how you got the answer thanks!
Click here to see answer by josgarithmetic(39616) About Me 

Question 984365: a=v/t. solve for t
Click here to see answer by solver91311(24713) About Me 
Question 984365: a=v/t. solve for t
Click here to see answer by Timnewman(323) About Me 

Question 984357: vf^2=vi^2+2ad. solve for vi

Click here to see answer by solver91311(24713) About Me 

Question 984369: Not sure where to start on this one hence requiring some aid to solve the question. Working on alegbra, linear equations and systems of equations so it could require any of the above.
You are trying to analyze the time each step in the process takes a worker. There are 3 steps in the process: Material acquisition, building and packaging. Building takes 7 minutes longer than 1/3 of the material acquisition time and packaging requires 3.5 minutes less than half the building time. If a worker produces 72 units in 84 hours of work, how long does each step in the process take per unit produced and what is the ratio of time each step per unit produced?
Even and idea of how to set up the equations would be a huge starting point. Thanks in advance.

Click here to see answer by Boreal(15235) About Me 

Question 984380: ac=v^2/r. solve for vf,if ti=0.
Click here to see answer by Alan3354(69443) About Me 

Question 984397: What is y=-x+4
y=2x-8

Click here to see answer by solver91311(24713) About Me 
Question 984397: What is y=-x+4
y=2x-8

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

Question 984398: I need help with a equation. It's -6=b/18.


Click here to see answer by josgarithmetic(39616) About Me 

Question 984422: 3|13-2t|=15
Click here to see answer by josgarithmetic(39616) About Me 

Question 984481: Find the value of k if (x-1) is a factor of 4x3+ 3x2-4x +k.
Click here to see answer by srinivas.g(540) About Me 
Question 984481: Find the value of k if (x-1) is a factor of 4x3+ 3x2-4x +k.
Click here to see answer by ikleyn(52776) About Me 

Question 984550: -2x+5 (x-1)
Click here to see answer by macston(5194) About Me 

Question 984599: (2x-3)(x+2)=4
Click here to see answer by Timnewman(323) About Me 

Question 984628: x^​4-​x-​12
Solve equation find only real solutions

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

Question 984632: Please help me solve the equation
6z^2 + 25z + 14

Click here to see answer by rothauserc(4718) 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, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580