Questions on Algebra: Equations answered by real tutors!

Algebra ->  Equations -> Questions on Algebra: Equations answered by real tutors!      Log On


   



Tutors Answer Your Questions about Equations (FREE)


Question 199527: I'm taking a college algebra class. I have not had any algebra experience in over 20 years, so I'm very rusty. My first problem is below. I think that I solved it, but I would like input from you to see if I'm on the right track.
Problem:
16-2x+5=5x Here's what I did: 16-2x+2x+5=5x
16+5=5x+2x
21=7x
21/7=7x/7
3=x
Please let me know if the steps to solving this are correct and if the answer is correct.
I have a few other problems.
A. 4(y-1)=2(3+y) I don't remember how to do problems w/ parentheses.
B. 2/3-x/6=1
C. 0.2(x-4)=3
Any help you can offer to get me started in the right direction is appreciated. Thanks for your time and assistance.

Click here to see answer by rfer(16322) About Me 

Question 199424: 4=k/2+3
Click here to see answer by edjones(8007) About Me 

Question 199568: 4 times an integer is 30 less than 5 times the next consecutive even integer. Find the two integers.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 199604: 3M+20=2M+80
Click here to see answer by jim_thompson5910(35256) About Me 

Question 199592: Hi all, im struggling to finish off some work at the moment. (There are 3 seperate equations all of the same type).
Find x such that 3 - (3/2)x = 8 - 2x is satisfied.
Find x such that 6 - (5/2)x = 12 + 10x is satisfied.
Find x such that 6 + 3x = 18 + 15x is satisfied.
Detailed explantaions of how to solve the previous would be greatly appreciated.
Thnaks, Nick.

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

Question 199636: one person had 104 hits in 325 times at bat, another person has 88 hits in 275 times at bat. Do they have the same batting average?
Click here to see answer by vleith(2983) About Me 

Question 199649: How do you solve equations when you need to find out a varibal(spell check?)
I know that you have to get the varible by itself, but I cannot seem to get it right.

Click here to see answer by rfer(16322) About Me 

Question 199656: 0=0.6x-3.6
Click here to see answer by checkley77(12844) About Me 

Question 199676: I'm stumped on the following problem.
3a-5-2a=2a-3 I moved the 5 to the right side of the = sign
3a-2a=2a-3+5
1a=2a-2
-1a=-2 I divided both sides by a negative to create a positive a.
a=2 When I plug 2 in for a, I am not coming out w/ the problem being
equal on both sides of the = sign.

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

Question 199677: I'm stumped on the following problem.
y/2+4=1/6 I have no clue how to start this problem. Please guide me. thanks

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

Question 199678: Solve the value of x in the equation below:
2(3x+1)=10x-6

Click here to see answer by Alan3354(69443) About Me 
Question 199678: Solve the value of x in the equation below:
2(3x+1)=10x-6

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

Question 199695: Hi all, Ive got some pretty simple stuff here but cant seem to get the last few equations done. I just need to solve for x and y for the following equations.
1. 5x-2y = 1 2. 8x-9y=79
If someone could please explain to me the correct working step by step to solving these sorts of equations I would be really grateful.
Thanks, -Nick.

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

Question 199734: What is a solution of (1/2)x + y - 1 = 0? Also how do you solve equations that equals zero?
Click here to see answer by vleith(2983) About Me 

Question 199735: solve each equation, is whats in my book.
4x+5x-10=35
and
9x +6x-12x= -7x+2x-12+5x

Click here to see answer by checkley77(12844) About Me 
Question 199735: solve each equation, is whats in my book.
4x+5x-10=35
and
9x +6x-12x= -7x+2x-12+5x

Click here to see answer by RAY100(1637) About Me 

Question 199795: I have an algebra problem that I am having a hard time solving. It's been 30 years since I've had algebra, and I'm in college, now for the first time. This is a bonus question for my next test, and I need all the help I can get. Can you help me?
I need to write an equation that has three solutions:
0, 1, and 2
Please help me if you can.
Thank you
Deb

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

Question 199797: I am having trouble with the following problem. I truly need help.
9x + 24y = 90
3x + 8y = 30
These need to be solved using the multiplication/addition method. I have several more problems like this and will use this as an example. I need step by step directions so I can do the other problems. Thank-you so, so much!!!

Click here to see answer by jim_thompson5910(35256) About Me 
Question 199797: I am having trouble with the following problem. I truly need help.
9x + 24y = 90
3x + 8y = 30
These need to be solved using the multiplication/addition method. I have several more problems like this and will use this as an example. I need step by step directions so I can do the other problems. Thank-you so, so much!!!

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

Question 199705: Simplify the following radical expression as much as possible. Assume all variable represent positive numbers.
x the cube root of 8x to the fifth.

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

Question 199696: Hi guys, im just doin some revision at the moment and cant seem to do the following problems. I have write the following expressions in their simplest form.
1. 27(x^3y^4)^2 /(3x)^2y^-5 2. (2a*(4/3)b^2c)^-3 / (a^2bc)^3
3. (9x^2y^6)^(1/2) / 3(x^3*y^9)^1/3
Im not expecting answers to all of them, but Im hoping someone can explain and show me how to do the above problems with step by step solution.
Thanks everyone, -Nick.

Click here to see answer by RAY100(1637) About Me 

Question 199812: v - 4(4 - v)= -2(2v-1)
Click here to see answer by Mathtut(3670) About Me 

Question 199659: 0=0.6x-3.6
6-8x=-26
5=5x+27-4
3(w+3)=-15
2(y+1)-5=7
6-2/3x=-8
0.3x-4.2=2.7
(need math problems too)

Click here to see answer by checkley77(12844) About Me 

Question 199883:
Click here to see answer by Alan3354(69443) About Me 

Question 199882:
Click here to see answer by Alan3354(69443) About Me 

Question 199887: can u solve this for me 3(x-5)=2(x+5)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 199912: what is c in 32+4(c-1)=-(4c+5)?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 199916: what is the literal equation for r when l=P(1+rt)?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 199915: what is the literal equation for x when ax+b=cx+d?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 199913: what is t in 7t+6-2(5+(3t/2))=5t-11
Click here to see answer by jim_thompson5910(35256) About Me 
Question 199913: what is t in 7t+6-2(5+(3t/2))=5t-11
Click here to see answer by nerdybill(7384) About Me 

Question 199942: Would you please show me what steps I am either leaving out or doing wrong in the following equation: %285x%2B1%29%2F7+-+%282x-6%29%2F4+%3E-4. My answer does not match the one in the book. Thank you.
Click here to see answer by RAY100(1637) About Me 
Question 199942: Would you please show me what steps I am either leaving out or doing wrong in the following equation: %285x%2B1%29%2F7+-+%282x-6%29%2F4+%3E-4. My answer does not match the one in the book. Thank you.
Click here to see answer by Edwin McCravy(20055) About Me 

Question 199941: Please help me see what I am doing wrong in this equation: -3(2x-1)<-4[2+3(x+2)]. The answer that I get is nothing at all like the one in the book. Thank you.
Click here to see answer by Alan3354(69443) About Me 
Question 199941: Please help me see what I am doing wrong in this equation: -3(2x-1)<-4[2+3(x+2)]. The answer that I get is nothing at all like the one in the book. Thank you.
Click here to see answer by RAY100(1637) About Me 

Question 199959: I am working on domain and range of a function can you help me with this?
Click here to see answer by user_dude2008(1862) About Me 

Question 199960: I need help solving this problem. I can't figure it out.
P=a+4b+4c, solve for a

Thanks,

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

Question 200004: v-4(4-v)=-2(2v-1)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 200026: Can you help me set up the algebra equation for this word problem?
A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is $2.47. Find the number of 8 cent stamps in the collection.

Click here to see answer by scott8148(6628) About Me 

Question 200107: 2/3x - 2/5 = -3/2
Click here to see answer by jim_thompson5910(35256) About Me 

Question 200167: Not for sure that I have the right answer.
Click here to see answer by Alan3354(69443) About Me 

Question 200221: 2(1.5m+3)=3.5m-1

Click here to see answer by rfer(16322) About Me 

Question 200222: please help....
2.2x-5=2(1.4x+3)

Click here to see answer by RAY100(1637) About Me 

Question 200230: -1+19w=11w+23
I would be so grateful for any help ....I´m sleepy!!!...lol

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

Question 200229: 5+a>16

graph the solution on a number line

Click here to see answer by jim_thompson5910(35256) 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