Questions on Algebra: Equations answered by real tutors!

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Question 1001683: One number is seven less than five times another. If their sum is decreased by seven, the result is ten. Find the numbers.
The smaller of the numbers is
and the larger is
I only came up with 11, can I get an example to due other problems like this

Click here to see answer by josgarithmetic(39616) About Me 
Question 1001683: One number is seven less than five times another. If their sum is decreased by seven, the result is ten. Find the numbers.
The smaller of the numbers is
and the larger is
I only came up with 11, can I get an example to due other problems like this

Click here to see answer by ikleyn(52776) About Me 

Question 1001793: The formula for finding the area of a rectangle is A=LW
Solve this formula for L

Click here to see answer by fractalier(6550) About Me 

Question 1001801: The formula for finding the perimeter of a rectangle is P=2L+2W
Solve this formula for L

Click here to see answer by Cromlix(4381) About Me 

Question 1001791: ×=3
×+y=9
2×-y+2z=18

Click here to see answer by MathLover1(20849) About Me 

Question 1001804: The formula for finding the distance traveled, based on speed and time, is D=RT , where
D is distance
R is rate (speed)
T is time
At what speed must a bicyclist ride to cover 21 miles in 1 hours, to 1 decimal place

Click here to see answer by MathLover1(20849) About Me 
Question 1001804: The formula for finding the distance traveled, based on speed and time, is D=RT , where
D is distance
R is rate (speed)
T is time
At what speed must a bicyclist ride to cover 21 miles in 1 hours, to 1 decimal place

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

Question 1001840: Find the smallest possible integer when divided by either 3,4 or 5 with a remainder of 2.
Click here to see answer by MathLover1(20849) About Me 

Question 1001855: What percent more than 1/2 is 2/3?
It says to write the answer in a mixed number with percentages.

Click here to see answer by mananth(16946) About Me 
Question 1001855: What percent more than 1/2 is 2/3?
It says to write the answer in a mixed number with percentages.

Click here to see answer by josgarithmetic(39616) About Me 

Question 1001856: What percent of 1/2 is 2/3? Express your answer as a mixed number with a percentage.
Click here to see answer by josgarithmetic(39616) About Me 

Question 1001857: The number 1125 has prime factors of 3's and 5's only (3*3*5*5*). How many positive perfect square numbers other than 1 are factors of 1125?
Click here to see answer by solver91311(24713) About Me 

Question 1001907: If a%2Bb=6, and ab=3, what is a%5E2%2Bb%5E2?
Click here to see answer by Alan3354(69443) About Me 

Question 1001925: what is the solution set for
a^2=5a

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

Question 1001972: Hello,
Can you please help me break this problem down and understand how to find the Y-intercept, Thanking you in advance. Betty
1. Find the equation of the line through points (2,7) and (-2, 3), and how to find the y-intercept

Click here to see answer by MathLover1(20849) About Me 

Question 1001986: The out put of a function is 7 more than 3 times the input. Find the input when the output is -8
Click here to see answer by MathLover1(20849) About Me 

Question 1002031: The sum of two consecutive integers is thirty one??
Click here to see answer by addingup(3677) About Me 

Question 1002030: If jim gives $30 to george,both of them have will have the same amount of money.if george gives $50 to jim,jim will have 5 times as much as george.how much money do both of them have altogether?
Click here to see answer by ikleyn(52776) About Me 

Question 1002199: I don't understand how to do this problem I have 3 like it please help asap thank you. My instructions say write an equation of the line that passes through point P and is parallel to the line with the given instructions.... P(-3,6), y=-x-5
Click here to see answer by jim_thompson5910(35256) About Me 
Question 1002199: I don't understand how to do this problem I have 3 like it please help asap thank you. My instructions say write an equation of the line that passes through point P and is parallel to the line with the given instructions.... P(-3,6), y=-x-5
Click here to see answer by Boreal(15235) About Me 

Question 1002211: If two linear equations have the same slope, how many solutions does the system of linear equations have? Justify your answer.
Click here to see answer by fractalier(6550) About Me 

Question 1002316: Is {0,2,4,6} closed under multiplication? Or Is {1,3,5,7} closed under multiplication?
Please help!

Click here to see answer by addingup(3677) About Me 
Question 1002316: Is {0,2,4,6} closed under multiplication? Or Is {1,3,5,7} closed under multiplication?
Please help!

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

Question 1002409: Rosa works due north of home. Her husband Alan works due East. They leave for work at the same time. By the time Rosa is 3 miles from home, the distance between them is one mile more than Alan's distance from home. How far from home is Alan?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1002507: (x-b)divided by a=c solve for b

Click here to see answer by Boreal(15235) About Me 

Question 1002480: How do you solve 6a + 3 = 9
______
5

Click here to see answer by solver91311(24713) About Me 

Question 1002580: What property of equality can be used to solve this equation 14x=34 explain
Click here to see answer by josgarithmetic(39616) About Me 

Question 1002605: The area of a parellologram is given by the formula A=bh. The area of the parellogram is 66 sq units. The base is 2x+1. The height is x+1. Find its base and height.
Click here to see answer by Cromlix(4381) About Me 

Question 1002659: A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 16 ft less than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 2 ft less than the length of the ladder?
Click here to see answer by fractalier(6550) About Me 

Question 1002566: the average price of an acre of U.S. farmland was $1210 in 2002. in 2008, the price of an acre rose to $2350.
a. write two ordered pairs of the form
b. find the slope of the line through two points
c.write a sentence explaining the meaning of the slope as a rate of change

Click here to see answer by fractalier(6550) About Me 

Question 1002755: Use logarithmic differentiation to solve:
f(x) =(x^(3/2)*e^(-(x^2)))/(1-e^(x))
Don't know if I did this correct.
ln(f(x)) = ln((x^(3/2)*e^(-(x^2)))/(1-e^(x)))
ln(f(x)) = ln((x^(3/2)*e^(-(x^2)) - ln(1-e^(x))
ln(f(x)) = ln(x^(3/2))+ln(e^(-(x^2))) - ln(1-e^(x))
1/(f(x))*f'(x) = 3/2ln(x)-x^2-(x)(ln(1)
f'(x) = f(x)(3/2)ln(x)-x^2-x
Pretty sure this is incorrect
Thank you

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

Question 1002701: I need to find the answer to V(3) in the equation of the volume of a sphere.
V=(4/3)*pi*r^3

Click here to see answer by josgarithmetic(39616) About Me 

Question 1002756: For the equation, complete the given table.
3x−y=9
x y
3
0
-4
-9
5
16
-2
-3
I am all over the map

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

Question 1002760: Find the bounded region between the graphs of: f(x) = x^2 and g(x) = sqrt(x)
First thing about this which threw me off was knowing where the points were on the graph, I had to desmos it to know where. Is there anyway of checking where the points intersect and therefore find the interval [0,1]
Work:
int%28x%5E3-sqrt%28x%29%29%2C+dx+%29 from [0,1]
then taking the antiderivativeI get
+%281%2F4%29x%5E4+-%282%2F3%29%28x%29%5E%283%2F2%29+

Thank you

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

Question 1002655: The length of the top of a table is 5 m greater than the width. The area is 104 m^2. What is the width of the table? What is the length of the table?
Click here to see answer by fcabanski(1391) About Me 

Question 1002853: 3x2-2x+1>=0
Click here to see answer by Cromlix(4381) About Me 

Question 1002829: the base of a rectangle is 4.8 units shorter than the length h, write an equation,in terms of h, when the area is 150 square units
Click here to see answer by Cromlix(4381) About Me 

Question 1002830: If B={x e W and x < 5 }and C={x:x e N, 5 < x < 10},
find the elements of the set B and C
also find n(A) and n(B)

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1002888: 2/3m+5=17
what is m?

Click here to see answer by Cromlix(4381) About Me 

Question 1002897: -15x+10-3x=-6x+8-4x
plz solve for x!

Click here to see answer by Boreal(15235) About Me 

Question 1002906: -3(2k-6)=12
plz solve for k!!

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

Question 1002926: Sam's score was 5 less than 3 times Suzie's score. The sum of both scores is 215. What is the solution?
Click here to see answer by stanbon(75887) About Me 

Question 1002930: Given the equation y= 1/2(x -5)^2 - 3
A write the equation in standard form
b Write the equation in intercept form
c find the x intercept(s) and the y intercept or explanin why the intercepts do not exist
d. graph using the given form.
I really just need help with part b

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

Question 1002946: I'm a school bus driver and want to know how to solve this problem handed to me from one of the students. -4x + 5y = 37. I honestly can't remember how to do this. It's been 35 years since math class for me. Sincerely, Sandra.
Click here to see answer by Alan3354(69443) About Me 

Question 1002967: A "Sparky" is a new unit of measure for angles invented by students at Arizona State University. An angle corresponding to one full rotation around a circle measures exactly 170 Sparkies.
Convert 66 Sparkies to radians. Enter an exact value.
Previous answer I received was wrong. Please help.!

Click here to see answer by Alan3354(69443) 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