Questions on Algebra: Equations answered by real tutors!

Tutors Answer Your Questions about Equations (FREE)

Question 150108: what is 0 divided by 0?
Click here to see answer by stanbon(75887)

Question 150204: Hello,
I am helping my child with homework and i think i got the answer right but i am not sure please help. thanks
Problem 1
5 5/9
+2 1/5
_______
Problem 2
3/5 + 1/3 T=2/5
The solution is T= (?) not sure of the answer
Thanks for your help
Marcia
Click here to see answer by stanbon(75887)

Question 150248: I didnt know what topic to use, Absolute value. Or equations.
So i picked equations. Hopefully someone can help me.
|-2x-2|=5
I was told the problem can have 0,1 or even 2 solutions.
Im thinking this problem has 2 solutions, But im not sure.
Id greatly appreciate some help figuring out this problem.
And could you please show me how you figured it out to?
Thank you,
KKG.

Click here to see answer by stanbon(75887)

Question 150323: Find an algebraic expression for the underlined quantity: The distance, given that the rate is x miles per hour and the time is 2 hours.
Click here to see answer by nerdybill(7384)

Question 150320: Find the Fahrenheit temperature of hot coffee at 75oC by solving the equation 75 =5/9(f - 32)for F
Click here to see answer by checkley77(12844)

Question 150353: Minimizing cost. A company uses the formula C(x) = 0.02x� - 3.4x + 150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its minimum? What is the unit cost at that level of production?
Click here to see answer by nerdybill(7384)

Question 150391: Solve each equation.
51-a=1
39=u-8
13=s over 2
13p=26
18+15+b=43
n+27=66
Click here to see answer by jim_thompson5910(35256)

Question 150393: 3(x-2) + 2 = 2(x-4) I do not understand this at all please help
Click here to see answer by Alan3354(69443)

Question 150394: how do you know when an equation has infinitely many solutions?

Click here to see answer by jim_thompson5910(35256)

Question 150396: Solve each equation.
18+15+b=43
n+27=66
Click here to see answer by jim_thompson5910(35256)

Question 150354: Diagonal brace. The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures√6m. Find the width and height.

Click here to see answer by jojo14344(1513)

Question 150425: Sailboat speed. The sail area-displacement ration S provides a measure of the sail power available to drive a boat. For a boat with a displacement of d pounds and a sail area of A square feet.
S = 16Ad�⅔.
a) Find S to the nearest tenth for the Tartan 4100, which has a sail area of 810 square feet and a displacement of 23,245 pounds.
b) Solve the formula for d.

Click here to see answer by stanbon(75887)

Question 150424: Surface area of a cube. The formula A = 6V⅔ gives the surface area of a cube in terms of its volume V. what is the volume of a cube with surface area 12 square feet?
Click here to see answer by stanbon(75887)

Question 150350: Surface area of a cube. The formula A = 6V⅔ gives the surface area of a cube in terms of its volume V. what is the volume of a cube with surface area 12 square feet?
Click here to see answer by jojo14344(1513)

Question 150423: Maximum height. If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t) = -16t� + 32t where t is time in seconds. Graph this parabola for 0≤ t ≤ 2.
What is the maximum height reached by the ball?

Click here to see answer by Edwin McCravy(20055)

Question 150351: Maximum height. If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t) = -16t� + 32t where t is time in seconds. Graph this parabola for 0≤ t ≤ 2.
What is the maximum height reached by the ball?

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

Question 150530: Hi, I'm having trouble understanding factoring and reducing algebraic equations. if you could explain this problem step by step i'd really appreciate it.
6w^3(w+1)^3�10w^5(w+1)^3. Thanks!!
Sincerely,
Michelle van Humbeck
Click here to see answer by ankor@dixie-net.com(22740)

Question 150541: Solve each equation
xˉ� = 4

Click here to see answer by mangopeeler07(462)

Question 150579: 3q - 5/8 = 0
I should understand this one...but, for some reason I don't get it
Click here to see answer by madhan_math(34)

Question 150679: 2x/5-3x/3=3
Click here to see answer by vleith(2983)

Question 150714: Hello E-Tutors:)

Could someone lead me in the right direction with this college
system of equations and inequality problem? The text book shows
how to solve something similiar but it only displays an equation
with two variables. Whereas this problem contains three variables.
That throws me for a loop.

Problem: The students from algebra class go for coffee together
every day. On Monday, Jordan paid $5.45 for three cartons of milk,
four cups of coffee, and seven doughnuts. On Tuesday, Ryan paid $5.30
for four milks, two coffees, and eight doughnuts. On Wednesday, Zack
paid $5.15 for two milks, five coffees, and six doughnuts.

1. Set up a system of equations to model this scenario.

I think this is right, but have no idea how to solve three layers,
with 3 different variables.
m=milk
c=coffee
d=doughnut

3m + 4c + 7d = 5.45
4m + 2c + 8d = 5.30
2m + 5c + 6d = 5.15

2. Determine the cost of one carton milk, one coffee, and one doughnut
by solving they system.

3. If on Thursday, Taylor had to pay for five milks, two coffees, and nine
doughnuts how much did he spend?

Think, I can get this one if I learn how to solve the second question.

Thank you in advance for sharing your valuable skills with us,
mishap mathematicians. :0)

Grateful,
Jai

Click here to see answer by stanbon(75887)

Question 150751: -3(p-7)+5p=6p-7
Click here to see answer by jim_thompson5910(35256)

Question 150752: Complete each ordered pair so that it satisfies the given equation.
Y=3X+9: (0, ), ( ,24), (2, )
Click here to see answer by mangopeeler07(462)

Question 150743: x+2/3 = 8/15
Click here to see answer by mangopeeler07(462)

Question 150793: Write a formula that expresses the relationship described below
y varies directly as x and y = �10 when x = �7.

What are the key words that I should notice that helps me write formulas?....I know y = ?/?

Click here to see answer by jim_thompson5910(35256)

Question 150814: 3z-5+2z=25-5z
Click here to see answer by jim_thompson5910(35256)

Question 150778: 3x/x-1 + 6x-9/x-1 -6 =0 solve for x. the numbers in front are fractions
Click here to see answer by jim_thompson5910(35256)

Question 150909: (x/2)+ (196-x/4)=74
Click here to see answer by jim_thompson5910(35256)

Question 150969: x/2+x/4=5
Click here to see answer by jim_thompson5910(35256)

Question 150972: The fahrenheit and cesius scales are related by the equation f=9/5C+32. What temperature Cesius would give the body temp. of 98.6F?

Click here to see answer by jim_thompson5910(35256)

Question 150987: if a ceramic tiles are 203mm*203mm, how many tiles would it take to cover an area 1 meters* 2 meters?
Click here to see answer by jim_thompson5910(35256)

Question 150984: please help once again from academic eight grader

one video rental club charges $25 to become a member and $2.50 to rent each video. Another charges no membership fee, but charges $3.25 to rent each video. How many videos must you rent to make the first club more econical?
Click here to see answer by stanbon(75887)

Question 150988: at an electronics store they sell about 730 cassette players a year and about 180 CD players a year. If the rate of cassette player sales decreases by 50each year and the rate of CD player sales increases by 60 each year, in how many years will the CD player sales be twice as much as the cassette player sales? use a table to determine you answer.
Click here to see answer by stanbon(75887)

Question 150992: Round your anseer to two dedecimal places. 5.6x-1.2=1x+26.4
Click here to see answer by stanbon(75887)

Question 150994: A circle has a circumference of 27 inches. Approximate the radius of the circle to two decimals places.
Click here to see answer by tweevy(2)

Question 150997: Why is it necessary to study the order of operations and the laws of operations before you begin solving equations?
Click here to see answer by vleith(2983)

Question 150996: When simplifying like terms, how do you determine the like terms?
Click here to see answer by vleith(2983)

Question 151039: 'A man wanted to get into his work building, but he had forgotten his code.
However, he did remember five clues. These are what those clues
were:
The fifth number plus the third number equals fourteen.

The fourth number is one more than the second number.

The first number is one less than twice the second number.

The second number plus the third number equals ten.

The sum of all five numbers is 30.'

What were the five numbers and in what order?

Click here to see answer by Fombitz(32388)

Question 150990: suzy can run 4m/sec and tim can run 6m/sec. How far ahead of tim must suzy be to not to fall behind tim in the first 10 secondsof running? Use a graph to check ou answer?
Click here to see answer by ptaylor(2198)

Question 151072: 5/8 y - 8 = 2
Click here to see answer by jim_thompson5910(35256)

Question 150986: a boxing club charges nonmembers $4 per to workout and $10 per day for equipment rental. Members pay a yearly fee of $400 and a daily fee of 5$ for equipment rental. write and solve and equation to find out how many times you should use the gym to justify membership.
thanks
Click here to see answer by ankor@dixie-net.com(22740)

Question 150777: 3x + 6x-9 -6 = 0 for x
over x-1 over x-1
3x over x-1 plus 6x-9 over x-1 minus 6 equals 0 solve for x?
Click here to see answer by checkley77(12844)

Question 151091: a motorist travels 337 miles while using 13.7 gallons of gasoline. find the gasoline consumption in miles per gallon to one decimal place.
Click here to see answer by checkley77(12844)

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