Questions on Algebra: Equations answered by real tutors!

Tutors Answer Your Questions about Equations (FREE)

Question 155570: 1/2x + 2/5 (x-2) = 1
Click here to see answer by checkley77(12844)

Question 155448: Hi, I am trying to help my granddaughter with her homework. She has the following equation to work out and I haven't got a clue where to start. Any suggestions would be greatly appreciated.
16jk2 + 5j x -2k x 3k
the 16jk is to the power of 2
Click here to see answer by Alan3354(69443)

Question 155441: please help me to fin the answer of this question : ab+a-b=2001, find the value of a and b. if a and b are a real number.
Click here to see answer by Alan3354(69443)

Question 155497: (Square root of 2X+3) = (square root of X+2) + 2
Can you help me solve this? I've already done some work:
1. I squared both sides of the equation and got: 2X+3 = X+2+(4 square root of X+2) + 4 because I foiled the right side, but I don't think I did it correctly
2. then, I got: X-3= (4 Square root of X+2)
Click here to see answer by checkley77(12844)

Question 155593: u/u-u+1/2=4
The professor gave this question at the end of class and he did not get to go over it. At first I tried to get rid of the two on the bottom but I got stuck when it came to getting rid of all the u's.
Click here to see answer by stanbon(75887)

Question 155618: 6-(3t+4)=-17
5
- p -10=30 , 5k +2(n-4)=15
7
Click here to see answer by jim_thompson5910(35256)

Question 155641: the length of arectangle is 3cm less than four times its width.if the perimeter is 38cm,what is the area of the rectangle?
Click here to see answer by jojo14344(1513)

Question 155676: how do you find the solution to -8-n+14=6
Click here to see answer by Alan3354(69443)

Question 155762: I am retunning to school after 15 years and I am having problems with Algebra. Please help me to understand how to simplify equations.
4x+7-15x+50-11+12x
Click here to see answer by nerdybill(7384)

Question 155753: a 120-pound student playing vollyball burns 2.7 calories per minute. if the student plays for 30 minutes, how many calories does the student burn?
Click here to see answer by checkley77(12844)

Question 155803: 4X+3=-3+2X+14-3
Click here to see answer by jojo14344(1513)

Question 155807: 62) 7/8x-1/4+3/4x=1/16+x
67) 1/3x+2/5=4/15+3/5x-2/3
72)1.7t+8-1.62t=0.4t-0.32+8
80) 2/3(7/8-4x)-5/8=3/8
please help solving all 4 thanks a million on clearing decimals and fractions

Click here to see answer by checkley77(12844)

Question 155813: Hi Sir/Ma'am,
Please assist.
I am helping my daughter who is in high school. I bought the algebrator program but it does not solve this equation:
6*6^3x=36*6^x
The book has the answer as x = 1/2 but I cannot get it.
I get x=3. What I have done is 6*6^3x divided by 36*6X equals 0
I simplyfy it and get 1*3x divided by 6*x equals 0
then transpose the 1/6 to get 2x=6
then x = 3
I forced the answer but it made no sense.
The books name is MATHEMATICS A COMPLETE COURSE WITH C.X.C QUESTIONS VOLUME 2. It has no ISBN. The author is Raymond Toolsie B Sc , MACP Published by CARIBBEAN EDUCATIONAL PUBLISHERS LTD PAGE 701 QUESTION 13 B

Please help
Reuel
Click here to see answer by jim_thompson5910(35256)

Question 155728: What is the equation for c+9=11?
Click here to see answer by HyperBrain(694)

Question 155856: 100p-4000/100p=.3 solve for p
Click here to see answer by Fombitz(32388)

Question 155854: Solve each equation.Check each solution.
23-2t=15-t
Click here to see answer by prabhjyot(165)

Question 155953: 0.3x-0.2y=4
0.2x+0.5y=-3

Click here to see answer by Electrified_Levi(103)

Question 156119: 3.5x + 24.2 > 60.5 - 8.6x
The solution is {x|x > __}
Click here to see answer by Fombitz(32388)

Question 156136: 7x-6
______ = 5. Please tell me how to work out X. Thanks, Emma xx
10
Click here to see answer by kdr(11)

Question 156136: 7x-6
______ = 5. Please tell me how to work out X. Thanks, Emma xx
10
Click here to see answer by checkley77(12844)

Question 156136: 7x-6
______ = 5. Please tell me how to work out X. Thanks, Emma xx
10
Click here to see answer by jim_thompson5910(35256)

Question 156138: (3a+2b)/2b= 7c/(n-t)

SOLVE FOR 'T'
Click here to see answer by jim_thompson5910(35256)

Question 156121: x/2 - 1 < 6/7
-
The solution is {x|x < __ }
-
Click here to see answer by oscargut(2103)

Question 156118: 6x - 13 < -43
The solution is {x|x __ __}
Click here to see answer by dave41082(4)

Question 156112: how do you know when an equation has no solution
Click here to see answer by nabla(475)

Question 156113: how do you know when an equation has infinitely many solutions
Click here to see answer by nabla(475)

Question 156170: Hi, I need help
.
This is linear regression
.
I have these two lists
.
Let's say the left side is
.
Still heartbeat rate ! Racing heartbeat rate
... 50.......................... 166
... 60.......................... 168
... 70.......................... 170
... 80.......................... 172
.
I was told to use the first "x" as 0, and base the others on "0"
(For example, this is how you would write it in the calculator: 50 = 0, 60 = 10, 70 = 20, 80 = 30
.
If you put this in a calculator, using (0,10,20,30)as L1, (166,168,170,172) as L2
.
I get the regression line formula, of It has told me to predict
.
Still heartbeat rate ! Racing heartbeat rate
... 40.......................... ???
... 65.......................... ???
... 84.......................... ???
.
If I put in the numbers ( -10, 15, 34)(based on the first "50" = 0
.
Using the formula
.
(-10) = = = =
.
The other solutions are ( 169, and 172.8 )
.
Now, I found that if you just use the numbers themselves (50, 60, 70, 80) Instead of (0,10,20,30)
.
You come up with a different equation
.
The new equation = ( The book I got this problem from, has this answer/equation)
.
If I predict the same heart rates ( 40, 65, 84)
.
If I use the new equation
.
(40) = = = =
.
I get the same predictions, so which regression line is correct
.
(A)
.
(B)
.
Is it "A" or "B", my question is, "How do you know which regression line formula is correct?" It can be an infinite number of equations, depending on what you use for "L1"
.
Do you only use the First Number in list as "0" if it is a year?
.
Thanks ahead of time, Levi

Click here to see answer by stanbon(75887)

Question 156306: A cellular telephone company has two plans. Plan A charges $11 a month and $0.12 per minute. Plan B charges $20 a month and $0.10 per minute. After how much time, to the nearest minute, will the cost of Plan A be equal to the cost of Plan B? Please help, Thanks!
Click here to see answer by nerdybill(7384)

Question 156304: Given two lines whose equations are 3x+y-8 =0 and -2x+by+9 =0, determine the value of b such that the two lines will be perpendicular.
Please help!!!!!!!
Click here to see answer by nerdybill(7384)

Question 156319: 3x+(x+2)=10
Click here to see answer by orca(409)

Question 156269: I have a chart where I know the value of x. I am able to figure out y in my head, but can't seem to put in equation. x=1,2,3,4,5,6 then y=4,10,18,28,40,54. I need an equation. Thank you
Click here to see answer by oscargut(2103)

Question 156347: 4b-3c?
b is 9
c is o,8
please help

Click here to see answer by oscargut(2103)

Question 156321: hello, im a student in calculus
and i need help on some of the equation solving problems
here are two problems and please tell me the process
1) Find the equation of the line through (-2,5) perpendicular to the x-axis
2) Find the equation of the line through (-2,4) parallel to the y-axis
thank you for your time, i have a test tomorrow
and i will really appreciate your help
please reply back
thanks.
Click here to see answer by Alan3354(69443)

Question 153955: Could someone please help me with this problem.
write an equation for the following conditions: Passing through (-4,6) perpendicular to the line whose equation is Y= (-1/4)x+5 there are no parentheses around the -1/4
Thank You
Deb
Click here to see answer by Alan3354(69443)

Question 156303: A model rocket is launched from ground level. Its height, (h) meters above the ground, is a function of time (t) seconds after launch and is given by the equation h= -4.9t^2 + 68.6t. What would be the maximum height, to the nearest meter, attained by the model?
Click here to see answer by ankor@dixie-net.com(22740)

Question 156443: Solve for M:
A(M+N)=AB
Click here to see answer by jim_thompson5910(35256)

Question 156307: A box contains one 2-inch rod, one 3-inch rod, one 4-inch rod, and one 5-inch rod. What is the maximum number of different triangles that can be made using these rods as sides?
Click here to see answer by Edwin McCravy(20054)

Question 156463: how do u solve -2(x+4)+6=-3
Click here to see answer by jim_thompson5910(35256)

Question 156485: x(x-3)=x
Click here to see answer by Alan3354(69443)

Question 156484: what is the slope of the line whose equation is 3x-4y-16=0
Click here to see answer by Fombitz(32388)

Question 156588: How do you solve 4(m+3)=6m+8
Click here to see answer by atique.ah(27)

Question 156597: a/b=c/d, for a/c
Click here to see answer by jim_thompson5910(35256)

Question 156609: 2/3(7/8+4x)-5/8=3/8
Click here to see answer by nerdybill(7384)

Question 156647: Express the following rational expressions in lowest terms y^5-3y^3+8y^2 over 5y
Click here to see answer by stanbon(75887)

Question 156668: Add the following(z+3 over 2) +(7 over 2)
Click here to see answer by gonzo(654)

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