Questions on Algebra: Equations answered by real tutors!

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Question 109343: Solve -33=-4y
Thanks

Click here to see answer by checkley71(8403) About Me 

Question 109342: Solve 6+2x=-x+12
Click here to see answer by MathLover1(20849) About Me 

Question 109341: Solve 3|x-5|+6=-9
Click here to see answer by checkley71(8403) About Me 

Question 109344: Solve -4x+5=-3
Thank you

Click here to see answer by MathLover1(20849) About Me 

Question 109357: solve the following literal equation for x.
ab/x=b

Click here to see answer by checkley71(8403) About Me 

Question 109340: Solve 7x+8=x+20

Click here to see answer by checkley71(8403) About Me 

Question 109521: One eighth of the square root of 7 less than a number is 2. what is the number?
Click here to see answer by edjones(8007) About Me 

Question 109590: Solve:-
3/2x-3+4/3-2x-5/8x-12=1
I am confused can u pls help me urgently.
Thanks

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

Question 109589: Hello, can you please help me with this problem below?
Solve each equation:
-3 -4( t-5)= -2 (t +3) + 11

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

Question 109596: Show that the number is rational by writing it as a quotient of two integers.
4. 0.37
Any help with this equation would be GREATLY appreciated.

Click here to see answer by MathLover1(20849) About Me 

Question 109594: Show that the number is rational by writing it as a quotient of two integers.
2.3
Any help with this equation would be GREATLY appreciated.

Click here to see answer by jim_thompson5910(35256) About Me 
Question 109594: Show that the number is rational by writing it as a quotient of two integers.
2.3
Any help with this equation would be GREATLY appreciated.

Click here to see answer by MathLover1(20849) About Me 

Question 109631: A rectangular park is three blocks longer than it is wide. The area of the park is 40 square blocks. If w represents the width, write an equation in terms of w for the area of the park
Click here to see answer by checkley71(8403) About Me 

Question 109645: Hello, can I so kindly ask for assistance with the problem below:
Fill in the tables using the given formulas
S = N(N +1)(2N = 1)
-------------------
6
N S
1
2
3
4
5
This is exactly how the question if laid out, Thanks in advance for your help and timely response. I am looking for a tutor formy next class, I have been fresh out of math for the last 12 years.
Thank you,
Brandi Whitley

Click here to see answer by checkley71(8403) About Me 

Question 109822: The length of a rectangle is 5 centimetres more than twice the width. The perimetre is 82 centimetres
and we have to solve these questions:
1) Find an equasion to represent the perimetre of the rectangle. Write your answer in simplest terms.
2) Solve the equasion to find the width of the rectangle
3) Find the length of the rectangle
This is for my homework which is due TOMORROW!!! i f you could answer there for me it would be GREAT!! thankyou soo much and i have tried to work theese out by going ( l= length) (w= width) l+l+w+w=82cm i dont know if this is right or not! THANKS from izzi

Click here to see answer by edjones(8007) About Me 

Question 108787: 6D + 2N = 3G
9D + 4N = 6G
D <= 98
N <= 60

Click here to see answer by nyro09nyro(4) About Me 

Question 109486: Show that the numbers is rational by writing it as a quotient of two intergers.
2. 3
Any help with this equation would be GREATLY appreciated.

Click here to see answer by HyperBrain(694) About Me 

Question 108809: Find the product or quotient. Write the answer using exponents.
3^7 x 3^4 ___ 3^10
Any help with this problem would be GREATLY appreciated:)

Click here to see answer by HyperBrain(694) About Me 

Question 108807: Find the product or quotient. Write the answer using exponents.
8^8 ___ 8^6 x 8
Any help with this problem would be GREATLY appreciated:)

Click here to see answer by HyperBrain(694) About Me 

Question 109839: If I paid $350 and used 16 bills of $5 and $50, write two equations to determine how many $5. and $50 bills i used
Click here to see answer by josmiceli(19441) About Me 

Question 109828: You have 650 coins that equal $256.25. You only have one dollar coins and quarters. How many of each coin do you have?
Click here to see answer by josmiceli(19441) About Me 

Question 109880: Factor completely. 5a2 – 125
Click here to see answer by Nate(3500) About Me 

Question 109882: Factor completely. x2 – 3x – 18
You nnned to have a set of numbers that when you multiply will give you -18 and also give you as a co- efficient of the middle number the complete factors are therefore.
(x-6)(x+3)

Click here to see answer by stone(1) About Me 

Question 109896: i need a answer to:
3x-y=2
x+2y=10

Click here to see answer by vidhyak(98) About Me 

Question 109947: Write the equation of the line given the two points (-2,3) and (1,1)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 109998: 2/3y=60
two over three times y equals sixty
I am not sure how to solve this equation, please show me step by step so that I will be able to do in the future

Click here to see answer by beccadancer15(3) About Me 

Question 110054: in a cube, how does the number of faces compare to the number of edges?
what I came up with was 6f=8e
what is the relationship of the number of edges and the number of vertices in a cube?

Click here to see answer by BrittanyM(80) About Me 

Question 110000: 5(E+6)=4(E+7)
I tried this:
5E+30=4E+28
5E-4E=1E
30-28=2
1E/1= 2/1
Answer: E=2
Please help

Click here to see answer by BrittanyM(80) About Me 

Question 110092: Find the sum or difference.
16. -10 7/16 - 2 3/16
Any help with this equation would be GREATLY appreciated.

Click here to see answer by MathLover1(20849) About Me 

Question 110107: One pipe can fill a pool in 9 hours. If a second pipe is used at the same time it will fill the pool in 3 hours. How long would it take the second pipe to fill the pool on it's own.
Click here to see answer by Kkray93(1) About Me 

Question 110088: Show that the number is rational by writing it as a quotient of two integers.
4. 0.37
Any help with this equation would be greatly appreciated.

Click here to see answer by bucky(2189) About Me 

Question 110165: I am stuck on this problem. I have to simplify this equation problem.
3(x-5)/4=6(x+8)/2
This is what I have so far and I don't think it is right.
2*3(x-5)=4*6(x+8)
6(x-5)=24(x+8)
6x-30=24x+192
6x-30+30=24x+192+30
6x=24x+222
6x-24x=24x+22
-18x/-18=222/-18
x=-12.33

Click here to see answer by checkley71(8403) About Me 

Question 110167: I am stuck on this problem, and I don't think it is right.
15-(-3)(2x-9)=60
15-(-6x)+27=60
15+27+6x=60
42+6x=60
42+6x-42=60-42
6x=18
x=3

Click here to see answer by checkley71(8403) About Me 
Question 110167: I am stuck on this problem, and I don't think it is right.
15-(-3)(2x-9)=60
15-(-6x)+27=60
15+27+6x=60
42+6x=60
42+6x-42=60-42
6x=18
x=3

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

Question 110329: make x the subject y^2=(8x+2)^2/(4x+2)
Click here to see answer by MathLover1(20849) About Me 

Question 110581: I'm stuck on this problem. Can you please help me? 2x^2=3x-1
Click here to see answer by checkley71(8403) About Me 

Question 109113:
2x+y=6

Click here to see answer by HyperBrain(694) About Me 

Question 110587: Can you help me with this? 12y^2-1=44(1-y)
I tried this
12y^2-1=44-44y [44+1=45]
12y^2=43-44y
12y=

Click here to see answer by HyperBrain(694) About Me 
Question 110587: Can you help me with this? 12y^2-1=44(1-y)
I tried this
12y^2-1=44-44y [44+1=45]
12y^2=43-44y
12y=

Click here to see answer by checkley71(8403) About Me 

Question 110609: S=rg/r-g solve for g
Click here to see answer by stanbon(75887) About Me 

Question 110623: remove parenthesis and solve: show steps please
5(x+2)+3(2x+1)-(x-5)=10

Click here to see answer by jayanthihemkos@yahoo.com(87) About Me 

Question 110663: 3(x-2)-2x=x-6
A) 0
B) 1
c) Identity
D) No solution

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

Question 110684: The problem: Find two numbers whose sum is 44 and whose difference is 22
I already know the answer - I had no problem figuring it out. What I need to see is the proper way to solve it. I got the answers 33 and 11. This is how I started it:
x + y = 44
x - y = 22
x = 22 + y and x = 44 - y .....what next? I plugged numbers in until I found the answer but there must be an easier way?

Click here to see answer by Earlsdon(6294) About Me 
Question 110684: The problem: Find two numbers whose sum is 44 and whose difference is 22
I already know the answer - I had no problem figuring it out. What I need to see is the proper way to solve it. I got the answers 33 and 11. This is how I started it:
x + y = 44
x - y = 22
x = 22 + y and x = 44 - y .....what next? I plugged numbers in until I found the answer but there must be an easier way?

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

Question 110683: The problem: Find two numbers whose sum is 44 and whose difference is 22
I already know the answer - I had no problem figuring it out. What I need to see is the proper way to solve it. I got the answers 33 and 11. This is how I started it:
x + y = 44
x - y = 22
x = 22 + y and x = 44 - y .....what next? I plugged numbers in until I found the answer but there must be an easier way?

Click here to see answer by stanbon(75887) 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