Questions on Algebra: Equations answered by real tutors!

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Question 335659: The sum of two consecutive numbers is 49. What is the less number?
Click here to see answer by Fombitz(32388) About Me 

Question 335558: solve the equation
2y+6=5(0.2y+4)-(14-y)

Click here to see answer by Fombitz(32388) About Me 

Question 335647: 14. There are two consecutive numbers. The sum of the lesser number and three times the greater number is 103. Find the two numbers.
Click here to see answer by Fombitz(32388) About Me 

Question 335557: solve the equation
2/3 (3x+5)+2= 1/9 (5x-17)

Click here to see answer by Fombitz(32388) About Me 

Question 335692: 80% is what number of 40
Click here to see answer by rfer(16322) About Me 

Question 335657: When the sum of 8 and a certain number is increased by 12, the result is the same as the product of 3 and the number. What is the number?
Click here to see answer by rfer(16322) About Me 

Question 334287: If [-2x+1]<1, what is one possible value of x?
Click here to see answer by Fombitz(32388) About Me 

Question 335646: 15. A shoe store sold 340 pairs of shoes in one day. The number of pairs of athletic shoes sold was 4 more than twice the number of pairs of dress shoes sold. How many pairs of athletic shoes were sold?
Click here to see answer by rfer(16322) About Me 

Question 335787: Three consecutive integers have a sum of -33. What are the integers?
I have the answer.. But I need to know how to set it up in equation form.

Click here to see answer by blwinbbbles(106) About Me 
Question 335787: Three consecutive integers have a sum of -33. What are the integers?
I have the answer.. But I need to know how to set it up in equation form.

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

Question 335786: If Don subtracts 24 from one-half of his number he gets 0. What is Don's number?
I don't know how to set it up in equation form.

Click here to see answer by blwinbbbles(106) About Me 
Question 335786: If Don subtracts 24 from one-half of his number he gets 0. What is Don's number?
I don't know how to set it up in equation form.

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

Question 335780: I am having some problem with find the lowest terms for these two I don't know how to convert each rational expression into an equivalent rational expression with the LCD as the denominator. Please help.
5x/x^2-1 and -4/x^2-2x+1

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

Question 335651: One number is two more than three times another . The sum of the numbers is 26. What is the less number?
Click here to see answer by rfer(16322) About Me 

Question 335819: factor if possible
6u^2- 18u +12

Click here to see answer by mananth(16946) About Me 

Question 335818: factor if possible.
2y^4 - 32

Click here to see answer by mananth(16946) About Me 

Question 335816: solve the double inequality, graph the solution, and give the result in interval notation
-3 < x-3/3 < 2

Click here to see answer by mananth(16946) About Me 

Question 335811: simplify the rational expression
x^2-3x-28/49-x^2

Click here to see answer by mananth(16946) About Me 

Question 335834: Hi all, im having trouble with the following problem:
The energy stored in a spring is given by the formula: E = 100x^2 where x is the compression. The rate of change of energy with respect to the compression is called the thrust T of the spring.
How do I:
a) Express the thrust Ta of the spring in terms of x.
b) Find the thrust at x:1.5
Any help would be fantastic.
-Nick

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

Question 335815: solve for a
n= 357/174+a

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

Question 335799: Hello! I'm from an Asian Country and I'm not good at English. So sometimes I get confused with some word problems. Please help me with this word problem.
" The length of a rectangle is x+2 and width is x-1 and a square has a length of each side is x. The area of the rectangle has shown exceeded the area of the square by 2 square centimetre. Find x."
So I write the equation as (x+2) (x - 1) = (x) (x) + 2
Please correct me if my equation is wrong. (What my problem is the word "exceeded by 2 sq cm", so I confused with two x square or x square plus two)

Click here to see answer by Theo(13342) About Me 

Question 335810: Negative divided by a positive. As of January 2007, the
national debt was $8.686 trillion dollars and the U.S.
population was 300.814 million people. Find the amount
of the debt per person to the nearest dollar.

Click here to see answer by Theo(13342) About Me 

Question 335843: Will someone please show me how to Find the derivative of:
ln sin^(-1)x^(3), where sin is an inverse function of sin x.
I would really appreciate a solution with steps.
Thanks,
-Nick.

Click here to see answer by galactus(183) About Me 

Question 335812: simplify the complex fraction
16y/x - x/y / -4/x + 1/y

Click here to see answer by Fombitz(32388) About Me 

Question 335817: solve the equation for the smaller and larger values
| 3x+2 | = | x+10 |

Click here to see answer by Fombitz(32388) About Me 

Question 335861: Denny walks 60 m in one min , john walks 210 m in one min, if denny has already walked 1800m , how many mins it will take for john to catch up with denny,
Click here to see answer by Alan3354(69443) About Me 

Question 335896: Please help solve +%282x%2B9%29%2F%284x-15%29=5%2F7+....I know that x=23 but can't figure out how to show it.
Click here to see answer by jim_thompson5910(35256) About Me 
Question 335896: Please help solve +%282x%2B9%29%2F%284x-15%29=5%2F7+....I know that x=23 but can't figure out how to show it.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 335941: how do i divide 900 by "c" equals 60 as a balanced equation?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 335952: use the discriminant to determine whether the following equations have solutions that are: two different rational solutions;two different irrational solutions;exactly one rational solution;or two different imaginary solutions:
10-5a%5E2=7a%2B9
could someone please help me with this problem?
thank you

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

Question 335957: 3(3x-2)-5x=2-2x
Click here to see answer by jim_thompson5910(35256) About Me 

Question 335962: the ninth grade class has 17 more girls than boys. there are 431 students in all. how many boys are there? How many girls are there?

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

Question 335983: please help me solve this equation: 2 |x+7| = 14
Click here to see answer by jim_thompson5910(35256) About Me 

Question 335980: The base of a 16ft ladder is 4ft from a wall. How high on the wall does the ladder reach?
Click here to see answer by checkley77(12844) About Me 

Question 335989: please help me solve this equation: |6x-9|+5=2
Click here to see answer by jim_thompson5910(35256) About Me 

Question 336003: Hi, I have got a question that is to do with calculus but i couldn't find a section covering it above so I put in alegaebra equations, sorry if that was a problem.
Ok the question I have that i need help with is "Using an algebraic method, determine the equation of the catenary that you believe best models your necklace". Baiscally I had to make earlier a parabola by tracing a chain and then find an equation to match that parabola which i had difficulty with. Now later on, on a much harder question it was required for the parabola to be shitfed upwards on the y-axis and the equation to be calculated.
I have obtained three coordinates that I tried to use but to no avail, they are
Turning Point (0, 10) and (30,27) and (54,79). If a negative x-vaule would make it easier then those three a coordinate that could also be used is- (-54, 79). Any help would be greatly appreciated. I was attempting to use the formula y=ax^2+bx+c, as this formula is what is needed to be solved, that a-value, b-value and c-value.
Any help would be greatly appreciated.
Thank you
Keiran

Click here to see answer by stanbon(75887) About Me 
Question 336003: Hi, I have got a question that is to do with calculus but i couldn't find a section covering it above so I put in alegaebra equations, sorry if that was a problem.
Ok the question I have that i need help with is "Using an algebraic method, determine the equation of the catenary that you believe best models your necklace". Baiscally I had to make earlier a parabola by tracing a chain and then find an equation to match that parabola which i had difficulty with. Now later on, on a much harder question it was required for the parabola to be shitfed upwards on the y-axis and the equation to be calculated.
I have obtained three coordinates that I tried to use but to no avail, they are
Turning Point (0, 10) and (30,27) and (54,79). If a negative x-vaule would make it easier then those three a coordinate that could also be used is- (-54, 79). Any help would be greatly appreciated. I was attempting to use the formula y=ax^2+bx+c, as this formula is what is needed to be solved, that a-value, b-value and c-value.
Any help would be greatly appreciated.
Thank you
Keiran

Click here to see answer by Edwin McCravy(20055) About Me 

Question 335267: a shoe store sold 340 pairs of shoes in one day. The number of pairs of athletic shoes sold was 4 more than twice the number of pairs of dress shoes sold. How many pairs of athletic shoes were sold?
Click here to see answer by nyc_function(2741) About Me 

Question 336080: You are working on a wood project in woodshop. You have a wooden rod that is 72 inches long. You need to cut the rod so that one piece is 6 inches longer than the other pieces. How long should each piece be ???
Click here to see answer by benazir.sj@gmail.com(109) About Me 

Question 336212: Please explaian how to solve this equation (summer makes things fuzzy), 3/5y-3(y+1/2)-5=1+1/2(3-2/3y). Thank you!
Click here to see answer by jim_thompson5910(35256) About Me 

Question 336322: 1/x+1/y=1 solve for y
Click here to see answer by jim_thompson5910(35256) About Me 

Question 336360: How do i solve for 'R' in this equation? PV=nRT
Click here to see answer by jim_thompson5910(35256) About Me 

Question 336362: How do i solve for w in this equation? P=2l+2w
Click here to see answer by jim_thompson5910(35256) About Me 

Question 336379: -6+2x=-6
Click here to see answer by jim_thompson5910(35256) About Me 

Question 336353: Two numbers differ by 57. Their sum is 185. Find the numbers.
Click here to see answer by benazir.sj@gmail.com(109) 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