Questions on Algebra: Equations answered by real tutors!

Tutors Answer Your Questions about Equations (FREE)

Question 84614: Hi can you please help me with some quadractic equations Thanks.(^2 means squared number)
x^2+7x+6=0
3x^2-5x-12=0
2x^2-5x-7=0
2.5x^2+6.2x=1.4
Click here to see answer by checkley75(3666)

Question 84612: Hi can you help me on some simultaneous equations. I have found the answer to the variables but I need the working out Thanks.
3x-y=2 y=10
5x+2y=40 X=4
5x+3y=9 y=-2
7x+8y=5 x=3
Click here to see answer by checkley75(3666)

Question 84640: please help me with this equation x^2-9x+8=0
Click here to see answer by rapaljer(4671)

Question 84639: please help me with this problem: x^2-9x+8=0
Click here to see answer by rapaljer(4671)

Question 84686: 2 grandchildrenAn estate is to be distributed among a wife, three children, and two grandchildren. The children will recieve three times as much as each grandchild, and the wife will recieve four times as much as each child. If the estate amounted to $115,000, how much will person recieve?
Click here to see answer by tutor_paul(519)

Question 84691: My Problem is to: Write The verbal sentence as an equation. Then Solve The Equation,
Twenty Minus the product of 4 and a number is 4.
^^^^
Any help with this question would be greatly appreciated=)
Click here to see answer by Earlsdon(6294)

Question 84696: My Verbal Equation Is To Find Out What:
Twelve less than 2 times a number is equal to 15 minus 7 times the number is.
Any help with this problem would be greatly appreciated:D
,Kia Jayy
Click here to see answer by checkley75(3666)

Question 84695: My Problem Is To Figure Out What:
Ten Plus 6 times a number is equal to 5 less than the number.
Any help with this problem would be greatly appreciated;}
Kia Jayy,Thank YOu
Click here to see answer by venugopalramana(3286)

Question 84694: My Verbal Equation Is To Figure Out What:
Twelve less than 2 times a number is equal to -1 is.
Any help with this problem would be greatly appreciated=)
,Kia Jayy
Click here to see answer by rcmcc(152)

Question 84692: My Problem is to 2 Solve This Verbal Equation:
The product of 9 and a number plus 17 is equal to -1

Any help with this problem would be greatly appreciated
,Kia Jayy
Click here to see answer by rcmcc(152)

Question 84733: ok here is my question. help would be greatly appreciated!!

Rearrange 4y - x = 8 so that it is the form y = mx = b
Click here to see answer by bucky(2189)

Question 84744: Write the equation of the line with slope �4 and y-intercept (0, 3).
Click here to see answer by bucky(2189)

Question 84782: Solve. x^2 + 3 = 39
I came up with +-SQRT26
Am I right?
Click here to see answer by dolly(163)

Question 84780: Write in simplest form. 5r^3 st^2/-10r^6s^3t
My answer is-t/2r^3s^2
Click here to see answer by dolly(163)

Question 84801: Hello! I am reviewing my Algebra for this year and I am having difficulty solving this one problem. I am not sure if I need to use three variables or if I should do something else. Here is the problem:
Darrell has $2 less than five times as much money as Bob. Mary has as much money as Darrell and Bob together. If all three of them together have $80, how much money does Mary have?
~There is my question. It would be incredibly helpful if you helped me solve this. Thank you once again.
~ev10993@comcast.net
Click here to see answer by bucky(2189)

Question 84810: solve for b
A=1/2h(B+b) Area of Trapezoid

also solve for b
A=1/2(16)(20+b)
Click here to see answer by funmath(2933)

Question 84720: -3(4x+3)-2=7-2x+3

and
(x+3)/4-3/2=(x+4)/8
Click here to see answer by funmath(2933)

Question 84853: I am trying to find the least common denominator for 5,7, and 3. The problem I am trying to solve is 5x/5 - x-2/7 = x+3/3

Click here to see answer by checkley75(3666)

Question 84845: B= F/(P-V)
in which
B= units sold to break even point
F=fixed costs
P= price per unit
V= variable costs
Network systems is introducing a new network card. Suppose Network systems knos its fixed costs are $600,000, its vaariable costs are $500 per card, and it must sell 15,000 cards to break even the first year. What is the minimum price per unit it should charge?
Click here to see answer by checkley75(3666)

Question 84875: determine which of the ordered pairs are solutions for the given equations.
x - y = 12; (15,3),(9,6),(18,6)

Click here to see answer by rapaljer(4671)

Question 85086: Which property of the real numbers is illustrated by the following statement?
(16 � 18) �20 = 16 � (18 � 20)
Would the answer be Distributive property?
Click here to see answer by jim_thompson5910(35256)

Question 85084: Write the following phrase using symbols. Use the variable x to represent the number.
Eight less than three times a number
Would the answer be 3x-8?
Click here to see answer by bucky(2189)

Question 85083: Write the following phrase using symbols.
The quotient of p minus q, divided by 5
Would the answer be p-q/5?
Click here to see answer by bucky(2189)

Question 85063: 4times a number is 6 more than the number. what is the number?
Click here to see answer by checkley75(3666)

Question 85094: What is the answer to this?
4(x+1)-32=-18+-6x+4(2x+3) i tried it a lot of times and when i solve & check it i keep getting the wrong answer because they dont check the same answer
Click here to see answer by jim_thompson5910(35256)

Question 85160: 2x(x)
Click here to see answer by checkley75(3666)

Question 85162: If fifty- two more than a number is equivalent to triple the number, then what must the number be?
Click here to see answer by checkley75(3666)

Question 85213: Can you please solve? 3(2x-7)-4x>-(x+6)
Click here to see answer by Lacey020991(49)

Question 85242: Write the equation of the line with x-intercept (�3, 0) and y-intercept (0, �2).
Click here to see answer by jim_thompson5910(35256)

Question 85241: Rewrite the equation �7x + 8y = �40 as a function of x.
Click here to see answer by jim_thompson5910(35256)

Question 85219: 2/5(10x-3)+3/5=1
Click here to see answer by praseenakos@yahoo.com(507)

Question 85219: 2/5(10x-3)+3/5=1
Click here to see answer by JohnsenP(4)

Question 85335: Determine which two equations represent parallel lines.
(a) y = 7x � 7
(b) y = �7x + 7
(c) y = 7x + 2
(d) y = -1/7x � 7
Here is what I got:
a and c
Is that right?
Click here to see answer by stanbon(75887)

Question 85334: Determine which two equations represent parallel lines.
(a) y = �6x + 2
(b) y = 6x + 2
(c) y = 1/6x + 2
(d) y = �6x + 6
Here is what I got:
a and d
Is that right?
Click here to see answer by stanbon(75887)

Question 85332: Solve. �6(x + 3) � 10 = 3(�2x � 5) � 13
Here is what I ahve
-6(3 + x) + -10 = 3(-2x + -5) + -13
(3 * -6 + x * -6) + -10 = 3(-2x + -5) + -13
(-18 + -6x) + -10 = 3(-2x + -5) + -13
-18 + -10 + -6x = 3(-2x + -5) + -13
-18 + -10 = -28
-28 + -6x = 3(-2x + -5) + -13
-28 + -6x = 3(-5 + -2x) + -13
-28 + -6x = (-5 * 3 + -2x * 3) + -13
-28 + -6x = (-15 + -6x) + -13
-28 + -6x = -15 + -13 + -6x
-15 + -13 = -28
-28 + -6x = -28 + -6x
-28 + 28 + -6x = -28 + 28 + -6x
-28 + 28 = 0
0 + -6x = -28 + 28 + -6x
-6x = -28 + 28 + -6x
-28 + 28 = 0
-6x = 0 + -6x
-6x = -6x
-6x + 6x = -6x + 6x
-6x + 6x = 0
0 = -6x + 6x
-6x + 6x = 0

Click here to see answer by mszlmb(115)

Question 85333: Which of the ordered pairs is a solution for the equation 5x � 2y = 10?
(0, 5)
(�2, 0)
(�2, �5)
(0, �5)
Here is what I got:
(0, �5)
Click here to see answer by checkley75(3666)

Question 85330: One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.
This is where I started with trying to make an equation then I gave up on that and tried doing it the old fashioned way of using my thinking skills and I came up with 17 as my answer. Is it right?
x>12
39=y(2x)

Click here to see answer by checkley75(3666)

Question 85329: lyn has twice as much moneyas jo. together they have $ 63. how much does each one have?
Click here to see answer by checkley75(3666)

Question 85329: lyn has twice as much moneyas jo. together they have $ 63. how much does each one have?
Click here to see answer by josmiceli(19441)

Question 85329: lyn has twice as much moneyas jo. together they have $ 63. how much does each one have?
Click here to see answer by stanbon(75887)

Question 85331: Solve. 10(�x � 7) + 20 = �5(2x + 4)
Here is what I ahve
10(-7 + -1x) + 20 = -5(2x + 4)
(-7 * 10 + -1x * 10) + 20 = -5(2x + 4)
(-70 + -10x) + 20 = -5(2x + 4)
-70 + 20 + -10x = -5(2x + 4)
-70 + 20 = -50
-50 + -10x = -5(2x + 4)
-50 + -10x = -5(4 + 2x)
-50 + -10x = (4 * -5 + 2x * -5)
-50 + -10x = (-20 + -10x)
-50 + -10x + 10x = -20 + -10x + 10x
-10x + 10x = 0
-50 + 0 = -20 + -10x + 10x
-50 = -20 + -10x + 10x
-10x + 10x = 0
-50 = -20 + 0
-50 = -20

Click here to see answer by jim_thompson5910(35256)

Question 85398: Hello and thank you,
My question is..... can you give me step by step instructions on equations with two variables now for instance I can solve a question like this
x=2y when x=0 that is easy. My question is when the questions are like this....
2x +2y when y=2 what is throwing me off is the fact that it has a number in front of the letter in both? am I making any sense? I have searched the internet and connot find any sample question that have "when x=2" or when x=0 (not necessarily having to be those particular numbers)
can you help? I hope my question didnt confuse you?
here is a sample question that if you solve for me I can plug into to solve the rest of my home work
Sample question: 2x+2y=4 When x=4
PLEASE HELP ME IM SOOO CONFUSED
Thank you
Renee
Click here to see answer by bucky(2189)

Question 85414: Translate the following statement into an algebraic equaion. Let x represent the number.
6 times a number is 14 more than that number.
I came up with 6x=x+14
Click here to see answer by stanbon(75887)

Question 85222: -3(a-2)=-3(a-3)
Click here to see answer by scianci(186)

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, 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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