Questions on Algebra: Equations answered by real tutors!

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Question 981417: Solve or answer the questions regarding equations. Show work.
Find the roots of x^2 plus 11x = -30


Click here to see answer by mananth(16946) About Me 

Question 981476: If you go on a road trip of 210 miles in the mountains and 8/15 of the trip is downhill, how many miles of the trip are not downhill? Reduce to the lowest term
Click here to see answer by macston(5194) About Me 

Question 981651: Solve by factoring: x+x(raised to the 1/2 power)-72=0
x%2Bx%5E%281%2F2%29-72=0
PLEASE show all of your work. Thank you!

Click here to see answer by richwmiller(17219) About Me 

Question 981667: Mel gave away 59 of his marbles on the first day. On the second day he gave away 24 less than the first day. On the third day he gave way marbles that is double the number that he gave away on the first day. And on the last day he gave away 26 more than what he gave away on the third day. How many marbles did he give away in all?
Click here to see answer by JulietG(1812) About Me 

Question 981771: 1. If c is an even integer and d is an odd integer, which of the following is an even integer?
3c + d
d + 4
7(c + d)
cd + 1
OR
c + 4d

2. In ΔABC below, AC = BC. Which of the following must be equal?
Image: http://jasper.kaptest.com/content/media/60/120260.11.f82f08a1-6a1a-48f3-b30e-874b3eb57bc5.png
a = c
c = f
d = e
d = f
OR
e = a
3. If x is directly proportional to y, which of the following graphs could show the relationship between x and y ?
Graph 1: http://jasper.kaptest.com/content/media/61/120261.8.3b5bfe0e-e276-4aab-b6fd-045a533b2437.png
Graph 2:http://jasper.kaptest.com/content/media/61/120261.8.5d989805-acab-4b8e-b96f-35b36b530a86.png

Graph 3: http://jasper.kaptest.com/content/media/61/120261.8.9b6686a0-2666-4f18-81aa-73a38e590dfe.png
Options:
I only
II only
III only
I and III only
I, II, and III


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

Question 981892: Which of the ordered pairs
(3, 1), (0, –4), (–4, 0), (–3, –7)are solutions for the equation x – y = 4?

Click here to see answer by ikleyn(52781) About Me 

Question 982046: Let f(x)=19x+1. Find f(-16).
Please solve and show work. Thank you.

Click here to see answer by macston(5194) About Me 

Question 982119: 12×12×12×12=
Click here to see answer by macston(5194) About Me 

Question 982110: If ,l+b=24,lb=135, find the values of l and b
Click here to see answer by macston(5194) About Me 

Question 982108: If ,l+b=24,lb=135, find the values of l and b
Click here to see answer by josgarithmetic(39617) About Me 

Question 982136: y^2+3yz-8z-4x=0
solve for z

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

Question 982128: a lamp is bought for 360$ and eight years later it is bought for 200$
find the depreciation equation?
assuming the depreciation is linear find the value of it after the first 5 years of ownership?


Click here to see answer by josmiceli(19441) About Me 

Question 982218: What are the three consecutive whole numbers whose sum is 441

Click here to see answer by macston(5194) About Me 

Question 982319: X^2+x-12
Click here to see answer by mananth(16946) About Me 

Question 982336: A building 60 feet tall casts a shadow 20 feet long. A person 6 feet tall is walking directly away from the building toward the edge of the building's shadow. How far from the building will the person be when the person's shadow just begins to emerge from that of the building?
Click here to see answer by josgarithmetic(39617) About Me 

Question 982411: An exponential function has a y-intercept of 31 and a horizontal asymptote of -73. In addition to this information, the slope of the line passing between any two points on the graph is positive. Determine the equation of any function that satisfies the above information.
WHAT I KNOW: given y-intercept= 31
for y intercept, x=0
y intercept = (0,31)
I plotted this on a graph I made and now i am just confused as to what step to take next in order to find the equation.

Click here to see answer by KMST(5328) About Me 

Question 982422: (x+5)/(-x^2)
How would you do syntheic division here?

Click here to see answer by Edwin McCravy(20055) About Me 

Question 982425: Round 2,321.4762 to the nearest hundred

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

Question 982339: Y2 - y = ????
X2 - 2x + x - 2 = ???

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

Question 982573: Flying to Kampala with a tailwind a plane averaged 158km/h. On the return trip the plane only averaged 112km/h while flying back into the same wind. Find the speed of the wind and find the speed of the plane in still air.
Click here to see answer by Alan3354(69443) About Me 

Question 982687: The product of three no in A.P is 224 and largest no is 7 times the smaller. Find the numbers
Click here to see answer by mananth(16946) About Me 

Question 982751: Solve
(3+n)÷7=-5

Click here to see answer by MathLover1(20850) About Me 

Question 982832: y - 5x = -43
y = -5x + 47

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

Question 982815: Minimize z=4x+7y
Subject to: x-y>1
3x+2y<18
x>0
y<0
Please solve and show work. Thank you very much.

Click here to see answer by Fombitz(32388) About Me 

Question 982934: Hi there, I am having trouble with an equation problem,it would be great if someone could explain it to me.
2x+18y=36
I have to rewrite the equation so that y is a function of x

Click here to see answer by Fombitz(32388) About Me 

Question 982933: Hi there,
I am not sure how I should solve this problem,can someone maybe explain it to me?
3.5x-1=-1/2(-7x+2)
Thank you

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

Question 982953: -y - 4x = 14
y = -5x - 15

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

Question 982960: x = -3y - 1
x = -2y - 4

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

Question 982979: Please help solve. Solve the system of 2 equations and 2 unknowns using the echelon method.
x/4 + y/4 = 1
x/5 = y/5 = 12/5
Your help would be appreciated. The question on paper is x is the top number 4 is the bottom number, etc. I did not know how to type the problem in fraction form. Thank you.

Click here to see answer by Fombitz(32388) About Me 

Question 982950: Solve the system of 2 equations and 2 unknowns using the echelon method.
x/4+y/4 = 1
x/5-y/5 = 12/5
Thank you in advance for your help.

Click here to see answer by Fombitz(32388) About Me 

Question 982990: g-7=15

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

Question 983004: -3x^2+30x-79
simplify

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

Question 982931: Anna and Raj have some pens. Anna has 3 fewer pens than Raj. If Raj had 2 more pens, then he would have twice as many pens as Anna. How many pens do Anna and Raj have altogether?
Click here to see answer by josmiceli(19441) About Me 

Question 982813: Solve the system of 2 equations and 2 unknowns using the echelon method.
x+y
4 4 = 1
x-y = 12
5 5 5
Please solve and show steps, as I am not familiar with this. Thank you.

Click here to see answer by Edwin McCravy(20055) About Me 

Question 983024: Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. X^2+5/6x
Click here to see answer by macston(5194) About Me 
Question 983024: Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. X^2+5/6x
Click here to see answer by MathLover1(20850) About Me 

Question 983015: A work crew has a new pump and an old pump. The new pump can fill a tank in 5 hours, and the old pump can fill the same tank in 7 hours. Write and solve and equation for the time it will take both pumps to fill one tank if the pumps are used together.
Click here to see answer by stanbon(75887) About Me 

Question 983029: Solve for theta2.
n1 sin theta1 = n2 sin theta2

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

Question 983049: Qual a resolução de 4-3x>x+6
Click here to see answer by josgarithmetic(39617) About Me 

Question 983068: What happens if you factor out 3x from 6x to the power of two minus 12x?Describe your answer.

Click here to see answer by MathLover1(20850) About Me 

Question 983081: What are ALL the factors of this entire expression?
2/3x^3y+1/3xy
Thanks so much for your help!!

Click here to see answer by macston(5194) About Me 

Question 983077: What are ALL the factors of this entire expression?
13(x^2-y^2)
Thanks so much for your help!!

Click here to see answer by Fombitz(32388) About Me 

Question 983086:

A system of equations is shown.
5x+y=9
10x−7y=−18

What are the values of x and y
Thanks so much for your help!!

Click here to see answer by macston(5194) About Me 

Question 983103: Meenakshi: ‘How old are you ,Mom’
Mom: ‘Let me think, Meenakshi, well our three ages add up exactly seventy years’
Meenakshi: That it a lot, is not it? And how old are you Dad?
Dad: Just Six times as old as you, my daughter.
Meenu: Shall I ever be half as old as you, Dad?
Dad: ‘Yes , Meenakshi, when that happens our three ages will add up to exactly twice as much as today’
Meenakshi: ‘ And supposing I was born before you Dad, and Mom has forgot all about it , and had not been at home when I came, and supposing-----‘
Mom: ‘Supposing, Meenakshi, we talk about that in bed. Come along, Vamshi you will have a head ache’
Now if Meenakshi has been some years older she might have calculated the exact ages of her parents from the information they had given her. can you find out the exact age of her MOM.?

Click here to see answer by josmiceli(19441) 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