Questions on Algebra: Equations answered by real tutors!

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Question 1035846: Can you determine the degree plus the leading coefficient of this equation?

A.) degree = 4, leading coefficient = 3
B.) degree = 3, leading coefficient = 6
C.) degree = 2, leading coefficient = 2
D.) degree = 0, leading coefficient = �-2
Click here to see answer by richard1234(7193)

Question 1035909: I have 20 questions. My child had 40 questions ,10 for yesterday and 10 for Monday. His struggles are great. Please solve these ( I need the help) Matthew had ADHD and is on the autistic spectrum and is struggling with matg. 1.) -5+8. 2.) 16+(-4) 3.)-2+97. 4.)9+(-1) 5.) -6+3. 6.)-4+7. 7.)15+(-3) 8.) -1+94. 9.) 8+(-2) 10.) -5+12. Thank you, Thank you. I have trouble as well so any help is greatlyappreciated!!
Click here to see answer by Theo(13342)

Question 1035974: Simplify by removing all grouping symbols and combining like terms.
(10a + 9b + 9c) � (a � b � 2c)
Click here to see answer by josgarithmetic(39616)

Question 1036052: Find the number x that makes the equation correct: 3^x = 9^2 * 3/27^2
Click here to see answer by stanbon(75887)

Question 1036070: David signed a contract to build 40 bird houses for the local pet shop. The owner wants them ready within the month. For every one David produces he will receive $20.00 and for every one he fails to produce he will be fined $8.00. At the end of the month David received $380.00. How many bird houses did he build?
Answer: 25 (How?)
Click here to see answer by fractalier(6550)

Question 1036139: The area of a rectangle is 91 square centimeters. Its length is x+2 and its width is x-4. Find the perimeter of the rectangle.
Click here to see answer by Aldorozos(172)

Question 1036139: The area of a rectangle is 91 square centimeters. Its length is x+2 and its width is x-4. Find the perimeter of the rectangle.
Click here to see answer by addingup(3677)

Question 1036138: a rectangle has a width of x+9 and its width is x+7. Find the dimensions of the rectangle if its area is 143 square meters.
Click here to see answer by jim_thompson5910(35256)

Question 1036158: x+1/x=5, find the value of x/x^2+x+1
Click here to see answer by ikleyn(52776)

Question 1036164: Solve the equation: a/a-x+b/b-x+c/c-x/3/x-1/x-a-1/x-b-1/x-c
Click here to see answer by Alan3354(69443)

Question 1036165: Solve the equation: Numerator: a/(a-x)+b/(b-x)+c/(c-x)
Denominator: 3/x-1/(x-a)-1/(x-b)-1/(x-c).
Find the value of Numerator/Denominator
Click here to see answer by Aldorozos(172)

Question 1035941: -6x+2y=-6,5x-3y=-2 for substitution method, elemination method, cross multi plication method
Click here to see answer by Alan3354(69443)

Question 1035941: -6x+2y=-6,5x-3y=-2 for substitution method, elemination method, cross multi plication method
Click here to see answer by Aldorozos(172)

Question 1035941: -6x+2y=-6,5x-3y=-2 for substitution method, elemination method, cross multi plication method
Click here to see answer by ikleyn(52776)

Question 1036312: Given the following Revenue and Cost Functions:
Revenue = -8.0X2 + 200.0X
Cost = 45.0X + 20.0
Find the Highest Breakeven Point.
Click here to see answer by stanbon(75887)

Question 1036313: Given the following Revenue and Cost Functions:
Revenue = -8.0X2 + 170.0X
Cost = 3.0X2 + 35.0X + 60.0
Find the Largest Breakeven Value of X.
Click here to see answer by stanbon(75887)

Question 1036315: Most communities have a Sign Ordinance that limits the amount of signage that you use to advertise your business. Often this is computed by looking at factors such as highway frontage and size of your building.
Suppose that your sign is limited to 3600 square inches (width x height = 3600) . You want to build a sign that is aesthetically appealing to advertise your business. To be an aesthetically appealing sign you would want the width to be 2 times the height and you want the top and bottom margins to both be 5 inches each and the right and left margin to both be 7 inches each. The "Printable Region" would be the area inside these margins and this will be the area that you can use to advertise your business.

How many square inches will be in the "Printable Region"
Click here to see answer by Boreal(15235)

Question 1036370: What is the value of x in the equation
(2x+2)+(3x-12)=180 ?
Click here to see answer by Cromlix(4381)

Question 1036375: Write a polynomial equation with integer coefficients that has the given roots.

y = 6, y = 4
Click here to see answer by Alan3354(69443)

Question 1036342: twelve decreased by twelve times a number
Click here to see answer by rfer(16322)

Question 1036392: The graph of a quadratic function has x intercepts -2 and -7 and passes through the point (1,24). The quadratic equation that has these roots when written in standard form looks like ax square +bx+c=0. What are the values of a,b,c?
Click here to see answer by jim_thompson5910(35256)

Question 1036396: A bridge is supported by three arches. The function that describes the arches is h (x)= -0.2x square + 3.0x, where h (x) is the height, in meters, of the arch above the ground at any distance, x, in metres, from one end of the bridge. How tall is each arch?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1036411: If x+1/x=1, find the value of x^2+3x+1/x^2+7x+1
Click here to see answer by Aldorozos(172)

Question 1036411: If x+1/x=1, find the value of x^2+3x+1/x^2+7x+1
Click here to see answer by josgarithmetic(39616)

Question 1036410: A railway bridge over a ravine is supported by arches. The function that describes the arches is h(x)= -0.03x square + 2.2056x, where h(x) is the height, in meters, of the arch above the ravine at any distance, x, in metres, from one end of the bridge. A) determine the distance between the bases of the arch. round to the nearest hundredth of a Metre.
B) determine the maximum height of the arch, to the nearest tenth of a metre
Click here to see answer by ankor@dixie-net.com(22740)

Question 1036445: Can you create an example of an equation that is not quadratic yet can be written in the quadratic form? How would it be written in this form?
Click here to see answer by Boreal(15235)

Question 1036481: Going from point A to point B, the cheetah traveled at an average rate of 70 mph. Returning to point A, the cheetah traveled at an average rate of 40 mph.
Can we say that this cheetah�s average rate was 55 mph?
The average rate for the trip is equal to the total distance traveled divided by the total time traveled. The following equations represent the distance traveled on each leg of the trip.
First leg of trip:
Second leg of trip:
i came up with a distance-rate-time table to help but somewhere along my solution i think i am going wrong.
Click here to see answer by ikleyn(52776)

Question 1036512: Let and let a =3 Find a polynomial q(x) and a real number r so that there is no need to do polynomial long division

Click here to see answer by josgarithmetic(39616)

Question 1036524: Hi there,
I was given the following problem and I just can't figure it out. Could you please let me know how to come up with the answer? Thanks!
Given these facts: Jack's age plus Marie's age is 27; Jack's age plus Fred's age is 38; Marie's age plus Fred's age is 33. How old is Jack?
Click here to see answer by josgarithmetic(39616)

Question 1036507: Find the values of m for which the equation
A) has exactly 2 solutions
B) has exactly 1 solution
C) has exactly 0 solutions
Click here to see answer by Alan3354(69443)

Question 1036507: Find the values of m for which the equation
A) has exactly 2 solutions
B) has exactly 1 solution
C) has exactly 0 solutions
Click here to see answer by ikleyn(52776)

Question 1036510: Let
A)find the roots
B)factor f
C)sketch f
D)solve f(x)>0

Click here to see answer by ikleyn(52776)

Question 1036536: Solve it-: x^2+y^2-z^2-2xy/x^2+y^2-z^2+2xy*x+y-z/x-y+z*x+y+z/x-y-z
Click here to see answer by ikleyn(52776)

Question 1036514: let
A) calculate f(0), f(1), f(2), f(-1), and f(-2). which of these is useful in factorizing f?
B) from the previous part, you have a factor x - a of f(x) for some a. then you can write
for some choice of numbers A, B, and C. two of the numbers can be determined by inspection - that is, by looking. which two?
C)by considering the x^2 term (or the x term) on the right hand side, and match with the corresponding piece on the left hand side, compute the remaining number of A, B, and C that you have not yet determined.
D) solve f(x) = 0
E) sketch
F) use your sketch to solve

Click here to see answer by robertb(5830)

Question 1036544: The product of two numbers is 270 and the sum of those two numbers are 93, what is the number?
I'm really stuck. I have no idea what it might be..

Click here to see answer by ikleyn(52776)

Question 1036590: Total amount of IMAGINARY ROOTS that are in this equation?

Click here to see answer by ikleyn(52776)

Question 1036591: Hello, if
Then what is ?
A.) 680
B.) 816
C.) 744
D.) 880

Click here to see answer by Boreal(15235)

Question 1036592: Please help me identify f(2) in the following equation.
Equation: http://postimg.org/image/50w47zxff/
Click here to see answer by rothauserc(4718)

Question 1036592: Please help me identify f(2) in the following equation.
Equation: http://postimg.org/image/50w47zxff/
Click here to see answer by josgarithmetic(39616)

Question 1036601: I am trying to solve this equation by using the Elimination by Addition Method:
-7x+4y=-1 and 5x-3y=0

Subsitution method:
2x-3y=5 and y=2x-7
Thank you for your help
Click here to see answer by Cromlix(4381)

Question 1036616: What do the roots of this equation represent? How often should the patient take his/her medicines.
Suppose the equation models the number of milligrams of a certain medication in the bloodstream t hours after it has been taken.
The doctor can use the roots of this equation to figure out how often the patient should take the medicine to keep a certain concentration in his/her body.
ty :)

Click here to see answer by solver91311(24713)

Question 1036652: Which value for x makes the following number sentence true?
11x = 7x + 24

Click here to see answer by Boreal(15235)

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