Questions on Algebra: Equations answered by real tutors!

Tutors Answer Your Questions about Equations (FREE)

Question 190421: Ok, I am having problems finding the y-intercept in the following problem:
For the function y= (x-5)(x+3)(8x-2), its y-intercept is y= ?
its x-intercepts are x= 5,-3,and (1/4)
Could someone help me and explain how to find the y-intercept?
Click here to see answer by stanbon(75887)

Question 190427: Hello.
Hey, I'm needing some help checking this problem for an exam review:
Perform the indicated operations and simplify. Rationalize denominators as needed.
[sqrt(x) + sqrt(y)]^2
thanks!
Click here to see answer by Earlsdon(6294)

Question 190476: Sandy has $3.25 in change. She has five more dimes than quarters but twice as many nickels as dimes. Express the given information as an algebraic equation and simplify each side of the equation. [You are not required to solve the problem.] You must name the variable used in the equation.
Thank You!
Click here to see answer by stanbon(75887)

Question 190475: If P = 2y � 6xy � 3x and Q = 4 � 5y, find 2P � 3Q and simplify the answer.
I am sooo Lost! Thank You.
Click here to see answer by stanbon(75887)

Question 190483: Mel's nephew owns a triangular plot of land. The perimeter fence that surrounds the land measures 121 feet. The shortest side is 15 feet longer than one-half of the longest side. The second longest side is 4 feet shorter than the longest side. What is the length of each side? Express the given information as an algebraic equation and then solve the equation. You must name the variable used in the equation.
Thank You!
Click here to see answer by solver91311(24713)

Question 190441: 4x = 3x
I don't know how to set this up.
Click here to see answer by Alan3354(69443)

Question 190474: A woman buys three board games for $107.10, including tax. If each board game costs $34, what is the sales tax rate? Express the problem as an equation whose solution is the sales tax rate and then solve the equation.
Thank You!
Click here to see answer by Mathtut(3670)

Question 190424: Hey, I'm needing some help checking this problem for an exam review:
Solve the equation:
(5/a) - (7)/(a+1) = (a^2 - 2a + 4)/(a^2 + a)
thanks!
Click here to see answer by jim_thompson5910(35256)

Question 190454: Hello.
I need some help seeing if I solved this equation correctly:
(5)/(a) - (7)/(a+1) = (a^2 - 2a + 4)/(a^2 + a)
Click here to see answer by jim_thompson5910(35256)

Question 190498: Two joggers start at the same time from opposite end of an 8-mile jogging trail and begin running toward each other. One jogger is running at a rate of 5mph, and the other jogger is running at a rate of 7mph. How long, in minutes, after they start will the two joggers meet?
Click here to see answer by nerdybill(7384)

Question 190587: #13 i have tired ti figure this out but I do not know where to start
The questions asked
A discount store sold plastic cups for 3.50 and each ceramic cups for 4 dollars each. If 400 cups were sold for a total of $1,458, how many cups of each type were sold ? what is the dollar value of each type of cup sold

Click here to see answer by stanbon(75887)

Question 190593: Select an irrational number and another number such that the sum, difference, product, or quotient of the two numbers is a rational number.
I am very lost. Thanks
Click here to see answer by jim_thompson5910(35256)

Question 190453: Hi.
Perform the indicated operations and simplify:
2/n+2 + 1/n + n+6/n^2+2n
Click here to see answer by jim_thompson5910(35256)

Question 190621: Classify the given numbers as real and rational, real and irrational, or complex. Remember to simplify BEFORE you classify!
I need help!
a.(3)1/2 + 2i
b.3.14
c.π (pi symbol?)
d.(16)1/4 + 6
e.(18)1/3
f.1/6
g.6i
h.3 � (-9)1/2
Click here to see answer by user_dude2008(1862)

Question 190627: could you help me with this equation its for math league 5x^2=x i started by doing this 5x^2-x=0 then x(5x-1)=0 i think that the answer might be 0 and 1/5 but its not one of the choices

Click here to see answer by jim_thompson5910(35256)

Question 190628: how would you solve this? 3^2+square root*(2^3+1+y)=3^0 i started by simplifing 9+square root*(8+1+y)=1 then 9+square root(9+y)=1 then 9+9*square root*(y)=1 then 9*square root*(y)=(-8) then i got stuck?!?!?

could u help me? thanks!
Click here to see answer by jim_thompson5910(35256)

Question 190672: Using FOIL, multiply the expression (3x+2)(3x-2) Show that a particular factoring formula can be used to get the same answer. Thanks so much! I'm lost again!
Click here to see answer by jim_thompson5910(35256)

Question 190671: Using FOIL, multiply the expression (3x+2)(3x-2) Show that a particular factoring formula can be used to get the same answer. Thanks so much! I'm lost again!
Click here to see answer by jim_thompson5910(35256)

Question 190673: If a fourth degree polynomial is multiplied by a third degree polynomial, what is the degree of the product? Explain your reasoning and provise examples.
Thank You
Click here to see answer by jim_thompson5910(35256)

Question 190423: Hi!
I need some help checking this problem.
Perform the indicated operations and simplify:
(2/3) - (4/5)/1 + (7/30) - (8/15)
Click here to see answer by checkley75(3666)

Question 190878: Can someone assist me in completing the factoring
36x^6=3x^4
Click here to see answer by jim_thompson5910(35256)

Question 190875: I need help please, i'm stuck.
Factor
x^2-3x
Click here to see answer by jim_thompson5910(35256)

Question 190885: I need to soleve each system of equations by using addition to eliminate one of the variables. Check.
If 3c+d=0
Then c-4d=52
Click here to see answer by checkley75(3666)

Question 190933: Classify the given numbers as real and rational, real and irrational, or complex. Remember to simplify BEFORE you classify! I am sooo lost here! Thanks!
I need help!
a.(3)1/2 + 2i
b.3.14
c.π (pi symbol?)
e.(18)1/3
f.1/6
g.6i
Click here to see answer by user_dude2008(1862)

Question 190972: Half the quotient of a number and three is ten. Find the number???
I really don't get this. The answer sheet and my answer is different.
Click here to see answer by stanbon(75887)

Question 190970: How do you solve this system of equation?
4x-3y=4
2x-y=1
Click here to see answer by nerdybill(7384)

Question 190978: Hi, Nick again.
I have another question, this time regarding how to "Make t the subject of the expresion"- please see below equation(s).
Equation 1
A/(squareroot(t-b)) =c
Equation 2
h= ln(M/((1/3t^2)+f))
-How do I make t the subject of the above equations. Steps and explanations as-well as solutions would be most appreciated.
Thanks, -Nick.
Click here to see answer by stanbon(75887)

Question 190895: Steve hit four more home runs than twice the number of home runs Larry hit. Together they hit 10 home runs. What is the equation for finding how many home runs Steve hit?
Click here to see answer by checkley75(3666)

Question 190894: The length of a rectangle is 5 more than twice its width. Its perimeter is 88 feet. What is the equation for finding its dimensions?
Click here to see answer by checkley75(3666)

Question 190893: In one season, Kim ran 18 races. This was four fewer races than twice the number of races Kelly ran. What is the equation for finding how many races Kelly ran?
Click here to see answer by checkley75(3666)

Question 190891: The length of a rectangle is four times its width. Its perimeter is 90 m. What is the equation to find its dimensions?
Click here to see answer by checkley75(3666)

Question 191059: The sum of two positive integers is 108. One integer is three times as great as the other. Find the integers.
Click here to see answer by vleith(2983)

Question 191061: solve.
3x/x^2-1=5/x
I worked it out to:
2(x-5)(x+1)
Is this correct?
Click here to see answer by jim_thompson5910(35256)

Question 191061: solve.
3x/x^2-1=5/x
I worked it out to:
2(x-5)(x+1)
Is this correct?
Click here to see answer by solver91311(24713)

Question 191248: Can someone tell me why 3.14 and 1/6 are irrational numbers? Thank You!
Click here to see answer by jim_thompson5910(35256)

Question 191288: what is the slope of the line with the equation x+2y=5
Click here to see answer by Alan3354(69443)

Question 191275: A man earns Rs. 4.40 per hour for a 40 hour working week. For overtime done on mondays to fridays, he receives one and half times the normal hourly rate, and for any saturday work, he is paid two times the normal rate. Calculate his wages for 64 hours week of which 4 hours are for work on a saturday.
Click here to see answer by kara!(17)

Question 191305: X+3/x-1=x+4/x-5
(x+3)(x-5)=(x-1)(x+4)
x^2+3x-15=x^2-x-4
x^2+4x+11=x^2
Click here to see answer by jim_thompson5910(35256)

Question 188175: 2xforx=y
Click here to see answer by Alan3354(69443)

Question 191301: A village lost 14% of its goats in a flood and 6% of the remainder from disease. Given that the number of goats left is X 8,084, Find the original number of goats before the floods .
Click here to see answer by Mathtut(3670)

Question 191364: solve the following when: x=4 and y=1 and z=4
11x+6-3y+2z=
y+4z+2x=
2x+10-2z=
7x+4y-8z=
3z-2x+5y=
3(z+5)-5y+z
i need help with these problems for a test that i'm taking.
Click here to see answer by solver91311(24713)

Question 191320: A man bought some chairs for Rs 200/- .Five chairs were stolen from the total. He sold the remaining chairs for a profit of Rs 40 The selling price of chair was Rs 4 more than its cost price. How many chairs did he buy and how much was the cost price of each chair?
Click here to see answer by ankor@dixie-net.com(22740)

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