Questions on Algebra: Equations answered by real tutors!

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Question 1126042: rational expression divide and simplify
{{(4xy^2)/(3y)*(2x)/(4y)}}

Click here to see answer by josgarithmetic(39617) About Me 
Question 1126042: rational expression divide and simplify
{{(4xy^2)/(3y)*(2x)/(4y)}}

Click here to see answer by MathTherapy(10551) About Me 

Question 1126033: find an equation of variation where y varies jointly as x and the square of z, and where y=231 when x=6 and z=7
the equation of variation is y=????

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

Question 1126072: If x - y = 14 and x^2 - y^2 = 84, then what is the value of x
Click here to see answer by rothauserc(4718) About Me 

Question 1126089: Protein(grams/serving) macaroni 3 broccoli 2
Carbohydrates (grams/serving) macaroni 16 broccoli 4
How many servings of each would it take to get exactly 37 grams of protein and 164 grams of carbohydrates?

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

Question 1126120: Need help please. I don't know how to set this problem up. I wish my text did a better job explaining, but here I am.
Greg left Mark's house and traveled toward the mountains. Two hours later Fred left Mark's house traveling 18 MPH faster in an effort to catch up. After three hours Fred finally caught up. What was Greg's average speed?
Thank you in advance for any help provided!

Click here to see answer by josgarithmetic(39617) About Me 
Question 1126120: Need help please. I don't know how to set this problem up. I wish my text did a better job explaining, but here I am.
Greg left Mark's house and traveled toward the mountains. Two hours later Fred left Mark's house traveling 18 MPH faster in an effort to catch up. After three hours Fred finally caught up. What was Greg's average speed?
Thank you in advance for any help provided!

Click here to see answer by Theo(13342) About Me 
Question 1126120: Need help please. I don't know how to set this problem up. I wish my text did a better job explaining, but here I am.
Greg left Mark's house and traveled toward the mountains. Two hours later Fred left Mark's house traveling 18 MPH faster in an effort to catch up. After three hours Fred finally caught up. What was Greg's average speed?
Thank you in advance for any help provided!

Click here to see answer by ikleyn(52778) About Me 

Question 1126066: The equation of the path of a cricket ball thrown is y = x - (x^2/50), where x m and y m are the horizontal and vertical heights, travelled respectively. Calculate the greatest vertical height reached and the horizontal distance travelled.
Click here to see answer by Alan3354(69443) About Me 
Question 1126066: The equation of the path of a cricket ball thrown is y = x - (x^2/50), where x m and y m are the horizontal and vertical heights, travelled respectively. Calculate the greatest vertical height reached and the horizontal distance travelled.
Click here to see answer by ikleyn(52778) About Me 

Question 1126153: Factor the polynomial:
(v-2u)^2-(2u-v)(u+2v)-2v+4u
All that I know is that (2u-v)=-(v-2u). I'd really appreciate your help! Thank you!

Click here to see answer by math_helper(2461) About Me 

Question 1126201: You measure the shadow cast by a certain tall building and find that it is 95 feet long. Then you measure the shadow cast by a three-foot post and find it to be 4 inches long. Determine the building's height.
Click here to see answer by Boreal(15235) About Me 

Question 1126278: If W=a piece of string. The string is cut into three equal pieces A B and C what what is the value of A B and C
Click here to see answer by josgarithmetic(39617) About Me 

Question 1126297: Can you solve for L Please
P=2L+2W+2H

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

Question 1126335: a grocery shopper bought 6 ib of steak and 20 ib of groundbeef the steak cost $5/ib more than the groundbeef and the total bill was $82 what was the price per pound for each type of meat?

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

Question 1126333: a grocery shopper bought 6 ib of steak and 20 ib of groundbeef the steak cost $5/ib more than the groundbeef and the total bill was $82 what was the price per pound for each type of meat?

Click here to see answer by ikleyn(52778) About Me 

Question 1126359: The perimeter of a rectangle must be greater than 70 cm, but the length cannot be greater than 30 cm and the width cannot be greater than 20 cm. What are two possible combinations for the length and width of the rectangle?
Click here to see answer by FrankM(1040) About Me 
Question 1126359: The perimeter of a rectangle must be greater than 70 cm, but the length cannot be greater than 30 cm and the width cannot be greater than 20 cm. What are two possible combinations for the length and width of the rectangle?
Click here to see answer by MathTherapy(10551) About Me 

Question 1126368: am=n+p

Click here to see answer by FrankM(1040) About Me 

Question 1126442: Compute and simplify the difference quotient (f(x+h)-f(x))/h, h=/0
f(x)= 3x^2 +5x

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

Question 1126492: A plumber tells you that he charges $40 just to show up and after that it is $80 per hour plus materials. Produce an algebraic formula to describe this situation.
Click here to see answer by josmiceli(19441) About Me 

Question 1126494: If a plumber is being paid $80 per hour how much will he make in 2 hours, and uses $75 worth of materials. How much will you be charged? Show in an algebra formula
Click here to see answer by josgarithmetic(39617) About Me 
Question 1126494: If a plumber is being paid $80 per hour how much will he make in 2 hours, and uses $75 worth of materials. How much will you be charged? Show in an algebra formula
Click here to see answer by MathTherapy(10551) About Me 

Question 1126581: -18y+7=-29
Click here to see answer by MathLover1(20849) About Me 

Question 1126580: -18y-7=-29
Click here to see answer by MathLover1(20849) About Me 

Question 1126648: 9-2 x = -8-4x

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

Question 1126700: a) Find the greatest value of y = -x^2 - 6x + 16
b) Find the least value of the expression above if x lies in the interval -11 < x ≤ 6.
Thank you :)

Click here to see answer by HEY654321(7) About Me 

Question 1126702: a) Find the greatest value of y = - x^2 - 6x + 16
b) Find the least value of the expression above if x lies in the interval -11 < x ≤ 6.
Thank you :)

Click here to see answer by FrankM(1040) About Me 
Question 1126702: a) Find the greatest value of y = - x^2 - 6x + 16
b) Find the least value of the expression above if x lies in the interval -11 < x ≤ 6.
Thank you :)

Click here to see answer by MathTherapy(10551) About Me 

Question 1126647:
Click here to see answer by Alan3354(69443) About Me 

Question 1126781: If x^2 + 5x = 5 find the value of x^3 + 6x^2.
Click here to see answer by math_helper(2461) About Me 

Question 1126809: Sue took her collection of nickels and dimes to deposit in the bank. She has five fewer nickels than dimes. Her total deposit was $54.05. How many nickels and how many dimes did she deposit?
Click here to see answer by ikleyn(52778) About Me 

Question 1126810: A newspaper carrier has $12.00 in change. He has two more quarters than dimes, but three times as many nickels as dimes. How many coins of each type does he have.
Click here to see answer by ikleyn(52778) About Me 

Question 1126837: Fifteen more than four times a number is equal to the difference between 191 and four times the number. Find the number.
Click here to see answer by MathLover1(20849) About Me 

Question 1126865: Here is a multiplication involving two 16-digit numbers:
3851902343886132x5221791683705111
The 32-digit product is 20 113 831 625 748 8_8 690 240 050 420 652
What is the missing digit in the product?

Click here to see answer by MathLover1(20849) About Me 
Question 1126865: Here is a multiplication involving two 16-digit numbers:
3851902343886132x5221791683705111
The 32-digit product is 20 113 831 625 748 8_8 690 240 050 420 652
What is the missing digit in the product?

Click here to see answer by greenestamps(13198) About Me 
Question 1126865: Here is a multiplication involving two 16-digit numbers:
3851902343886132x5221791683705111
The 32-digit product is 20 113 831 625 748 8_8 690 240 050 420 652
What is the missing digit in the product?

Click here to see answer by Alan3354(69443) About Me 
Question 1126865: Here is a multiplication involving two 16-digit numbers:
3851902343886132x5221791683705111
The 32-digit product is 20 113 831 625 748 8_8 690 240 050 420 652
What is the missing digit in the product?

Click here to see answer by ikleyn(52778) About Me 

Question 1126915: evaluate the following
6/7w-3 when w=21

I got a answer of 6/126 simplified to 21.

Click here to see answer by josgarithmetic(39617) About Me 
Question 1126915: evaluate the following
6/7w-3 when w=21

I got a answer of 6/126 simplified to 21.

Click here to see answer by math_helper(2461) About Me 

Question 1126920: How would I write the following equation: Say I'm playing a game and I want to achieve a 90% success rate. So far, I've played 200 games, but only won 170 instead of the desired 180. What would be the equation to show how many consecutive games I need to win in order to bring my overall success rate to the desired 90%? Is there a phrase or name to describe this? TIA
Click here to see answer by josgarithmetic(39617) About Me 

Question 1126929: the length of a rectangle is 4 times the width and the perimeter is 30. How can I show my son how I arrived At the answer
Click here to see answer by ikleyn(52778) About Me 
Question 1126929: the length of a rectangle is 4 times the width and the perimeter is 30. How can I show my son how I arrived At the answer
Click here to see answer by josmiceli(19441) About Me 
Question 1126929: the length of a rectangle is 4 times the width and the perimeter is 30. How can I show my son how I arrived At the answer
Click here to see answer by math_helper(2461) About Me 

Question 1126944: find all the zeroes of x²+(3-√2)x-3√2 if one of its zero is √2?

Click here to see answer by solver91311(24713) 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