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 825789: Hi
Please help me find this (the answers for both X& Y should be integer), the answers are 9& 3 but I don't know the procedure to find them.
I really need this to learn so please give me the algorithm to solve such problems except trial and error if there is any or in case just by trial and error how to find the best guess for start point near final answers.
Thanks
X+Y+6XY=174 (X=9 Y=3)

Click here to see answer by math-vortex(648) About Me 

Question 825863: The numerator of a fraction is 5 less than 3 times its denominator. If 2 and 4 are added to the numerator and denominator respectively the new fraction is equivalent to 5/6. Find the original fraction

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 825858: What is the product of 20%, 48, and 50?
Click here to see answer by math-vortex(648) About Me 

Question 822328: -5k less or equal to 20 what is k
Click here to see answer by sarcasticpie(12) About Me 

Question 826005:
Click here to see answer by Alan3354(69443) About Me 

Question 825987: We invested $10,000 in 2 bank accounts. One account earns 14% per year the other earns 8% per year. How much did we invest into each account if after the first year, the combined interest from the 2 accounts is $1238?
Click here to see answer by math-vortex(648) About Me 

Question 826288: Jenny has three more than twice the number of compact discs as Joshua. If Jenny has 27 compact discs, how many discs does Joshua own?
Click here to see answer by TimothyLamb(4379) About Me 

Question 826320: Solve each system of equations:
2x= y+12
3x+2y= -3
What I did:
(2x=y+12)2
3x=-2y-3
4x=2y+28
3x=-2y-3

Click here to see answer by TimothyLamb(4379) About Me 
Question 826320: Solve each system of equations:
2x= y+12
3x+2y= -3
What I did:
(2x=y+12)2
3x=-2y-3
4x=2y+28
3x=-2y-3

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

Question 826300: Hi, would you be able to help me in this question, "If N + 5 is greater than 7, then 2 x N MUST be greater than"
(A) 4
(B) 6
(C) 8
(D) 10
(E) 12
Thanks for reading it, and I hope you reply soon!

Click here to see answer by MathTherapy(10552) About Me 

Question 826435: Can you help me with this equation?

2/3(-5/2x+2)=7/3(1x+5/3)

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

Question 826542: Express 13,860 as a product of prime factors

Click here to see answer by josgarithmetic(39617) About Me 

Question 826677: I am trying to help my daughter with her homework. She has equations to do but I don't understand them. The problems are: 7m +6 divided by -3 = 5, y + 10 divided by -2 = 5, 2m - 5 (3m + 4) = -59 and 8y - 3 + 12 - 3y = 10. I would appreciate any help you can give us. Thanks.
Click here to see answer by Alan3354(69443) About Me 

Question 826686: I am trying to change this into slope-intercept form. The equation is 2x + 5y = 12. I divided by 2 first which turns the equation x + 5y = 6. I then divided 5 on both sides and turned the equation to x + y = 6/5. I then multiplied x on both sides and got y = 6/5x. Our teacher tiled us that we don't have to graph if b/y-intercept is a fraction. Did I solve this equation correctly?
Click here to see answer by Alan3354(69443) About Me 
Question 826686: I am trying to change this into slope-intercept form. The equation is 2x + 5y = 12. I divided by 2 first which turns the equation x + 5y = 6. I then divided 5 on both sides and turned the equation to x + y = 6/5. I then multiplied x on both sides and got y = 6/5x. Our teacher tiled us that we don't have to graph if b/y-intercept is a fraction. Did I solve this equation correctly?
Click here to see answer by richwmiller(17219) About Me 

Question 826669: Would you expect the solution of 4x + 12 = 36 to be greater than or less than 36? Explain.

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

Question 791790: A ball was kicked into the air from a balcony 20 feet above the ground, and the ball's height above the ground in feet t seconds after the ball was kicked is h(t) = 20 - 16t2 + 32t. What was the maximum height, in feet, of the ball above the ground after it was kicked?


Click here to see answer by vjones93(1) About Me 
Question 791790: A ball was kicked into the air from a balcony 20 feet above the ground, and the ball's height above the ground in feet t seconds after the ball was kicked is h(t) = 20 - 16t2 + 32t. What was the maximum height, in feet, of the ball above the ground after it was kicked?


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

Question 827166: the combined age of a man and his wife is 8xtimes the combined age of their children.2 years ago their united ages were 10 times the combined ages of their children.6 years hence their combined age will be 3 times the combined age of their children.the no. of children are---
Click here to see answer by JBarnum(2146) About Me 

Question 4872: 4x+3x+x=12-5-9
8x=-2
x=-2/8

Click here to see answer by zynan88(4) About Me 

Question 5369: can u help me on this problem 5(x-7)=5

5x-35=5
5x=5+35
5x=40
x=-40/5
x=-8

Click here to see answer by zynan88(4) About Me 
Question 5369: can u help me on this problem 5(x-7)=5

5x-35=5
5x=5+35
5x=40
x=-40/5
x=-8

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

Question 5703: Solve for r: 4(r-2)= 2(r+8)
This is how I am trying to do it:
I isolated the variable r
I multiplied the the terms
left side first, then right side and got:
4r-8 = 2r+16
Then I isolate r by subtracting both sides by 2 and got:
2r-8 = r+16
Then I isolated r by adding both sides by 2
4r-8 = r+16
Then I isolate r by dividing both sides by 2
2r-8 = 1r+16
Ultimately I got 4
and I seemed to got lost in the equation, please help :(

Click here to see answer by zynan88(4) About Me 

Question 6331: solve the equation.
-9b + 1 + 7b = -3b + 6

Click here to see answer by zynan88(4) About Me 

Question 827328: What is the answer to 8x - 3 = 8x
Click here to see answer by MathLover1(20849) About Me 
Question 827328: What is the answer to 8x - 3 = 8x
Click here to see answer by Alan3354(69443) About Me 

Question 827345: for what values of x is the quantity (x-7)(x+5) negative?
Click here to see answer by MathLover1(20849) About Me 

Question 827377: X-1/2 - 2-3x/7 = 1/3. Solve for x.
What is the process in getting the answer????
THANKKS :D.

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

Question 827348: Seven more than the quotient of a number and 2 is 10
Click here to see answer by rfer(16322) About Me 

Question 827316: Find the equation, in standard form, of the line passing through the points (5,1) and (-2,3).
A. 7x+2y=-17
B. Y=7/2x-7
C. 2x+7y=17
D. 2x-7y=17

Click here to see answer by oscargut(2103) About Me 

Question 827388: Charlie has a $30 smoothie gift card. Each time he uses the card to buy a smoothie, $2 is deducted from his card. If the balance on his card today is $12, how many smoothies has he purchased with the card?
Click here to see answer by TimothyLamb(4379) About Me 
Question 827388: Charlie has a $30 smoothie gift card. Each time he uses the card to buy a smoothie, $2 is deducted from his card. If the balance on his card today is $12, how many smoothies has he purchased with the card?
Click here to see answer by MathTherapy(10552) About Me 

Question 827384: Harry buys American cheese at a deli. He buys 1/4 pound of American cheese at a cost of x dollars per pound. If he pays $12.25 for 2.5 pounds of American cheese, what is the cost per pound of cheese?
Click here to see answer by TimothyLamb(4379) About Me 

Question 827436: find the polynomial equation that has the following roots: 0, -1, and 5
Click here to see answer by stanbon(75887) About Me 

Question 827403: (X-6)(-9y)
Click here to see answer by rfer(16322) About Me 

Question 827473: 2/3(3x-1)>=3/2(2x-3)
Click here to see answer by rfer(16322) About Me 

Question 827428: find all the zeros of the equation x^4-3x^3+6x^2+2x-60=0 given that 1+3i is a zero
Click here to see answer by Edwin McCravy(20055) About Me 

Question 827509: 7 + X/2 = 10
X/3 - 5 = -7
Please explain how you worked it on at least one of them. Thank you

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

Question 827555: When the question says evaluate 2x + 3y given x=6 y=2 and z=8, what do we do with the z=8 if its not in the 2x + 3y?
Click here to see answer by josgarithmetic(39617) About Me 

Question 827653: Need a solution for breaking out two ticket prices. $49 for a child ticket and $55 for an adult ticket. There are only those two ticket prices and we need a count of how many child and adult tickets there are.
Total tickets are $56,290
Is there any formulae that could do this?
Thank you!

Click here to see answer by richwmiller(17219) About Me 

Question 827708: how do I write this as and equation
One average is the quotient of the number of successes and the number of tries. (Let A = average, s = number of successes, and t = number of tries.)

Click here to see answer by josmiceli(19441) About Me 

Question 827802: what is 7/3 = x +6
Click here to see answer by Alan3354(69443) About Me 

Question 827838: What is the value of m in problem 6=2/5m?

Click here to see answer by stanbon(75887) About Me 

Question 827819: show how to solve 2x/3 - 3 = 8-3x

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

Question 828042: I know how to write down the problem. But how do i even do it? I do not understand.
Click here to see answer by ankor@dixie-net.com(22740) 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