Questions on Algebra: Equations answered by real tutors!

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Question 153173: I can find a way to simplify this expression.
5x**2 + 2x + 1 = 0 ** menas Squared. I canot find two factos that allow me to
(5X+ )(X + ) solve this

Click here to see answer by oscargut(2103) About Me 

Question 152867: What is the relationship between the degree of a polynomial and the maximum number of maxima and minima it can have?
a. The total number of maxima and minima is one less than the degree of the polynomial
b. The degree of the polynomial is one less than the number of maxima and minima
c. They are the same value
d. The number of maxima is always the same as the number of minima, and each if equal to one-half n

Click here to see answer by oscargut(2103) About Me 

Question 153171: I can find a way to simplify this expression.
5x**2 + 2x + 1 = 0 ** menas Squared. I canot find two factos that allow me to
(5X+ )(X + ) solve this

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

Question 152302: Calculate the temperature in Celsius if the temperature in Fahrenheit is 98.6°F. Also, calculate the temperature in Fahrenheit if the temperature in Celsius is -40°C.
Click here to see answer by jojo14344(1513) About Me 

Question 152789: 3+4z
Click here to see answer by mangopeeler07(462) About Me 

Question 153241: on page 58 of the textbook. the problem is a=180-(a-2/n) solve for n.
this is what i got so far up to point where i am stuck.
a=180(1-2/n) distribute
a=180-360/n +360/n
360/n=180-a -a
?
am i doing this right so far? Also im not sure of the next step. After i got to this point i didnt know what to do

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

Question 153243: HELP!!!
Solve the equation algebraically by factoring or using quadratic formula;
x squared - 2x -3 = 0
very confused!!!!!

Click here to see answer by stanbon(75887) About Me 
Question 153243: HELP!!!
Solve the equation algebraically by factoring or using quadratic formula;
x squared - 2x -3 = 0
very confused!!!!!

Click here to see answer by Earlsdon(6294) About Me 
Question 153243: HELP!!!
Solve the equation algebraically by factoring or using quadratic formula;
x squared - 2x -3 = 0
very confused!!!!!

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

Question 153270: equation from worksheet
a(x+c)=b(x-c) solve for x
1/2(x-3)+3/2-x)=5x

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

Question 153290: Please solve this for the pro-numeral in the following equation:
(3t-3)/8=t-6

Click here to see answer by orca(409) About Me 

Question 153453: 6h + 5(h-5)
Click here to see answer by psyberskull(3) About Me 

Question 153423: hi I need help I have gotten 4 or 5 different answers for this
Solve: (1/8)(7m – 7) = (2/5)(4m – 4) + 8

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

Question 153501: I need help with solving this equation and how to get the answer.
The question is
2/7J - 1/7 = 3/14

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

Question 153539: Please help me solve the following equation:
30x^2 + 11x - 30 = 0

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

Question 153434: 18-2/11a=5/11a-19
Click here to see answer by sbarbagallo(4) About Me 

Question 153592: hello tutor,
May you please help me solve this equation 15-g=23-2g


Thank you!

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

Question 153603: -4(k-2)+3(k-1)=7
Click here to see answer by jim_thompson5910(35256) About Me 

Question 153617: I need help solving this equation.
The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. total ticket sales were $1050. How many tickets of each type were sold? I need to write two equations to solve this problem.
I got this far:
s= students = $2
a= adults = $3
attendance = 400
tickets sales = $1050

Click here to see answer by scott8148(6628) About Me 

Question 153623: What is m+m equal.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 153613: hi,
my name is jay, and i am struggling with this question. the question is:
if a pitcher throws a baseball 90 miles per hour, how many seconds does it take for the ball to reach home plate?
here's what i've tried:
time equals distance divided by speed
i divide 60.5 feet by 90 mph, and i get .6722 seconds.
Then i thought, can i really solve this equation this way? can i use feet in distance as the numerator and miles per hour in divisor. I'm not sure how to solve this.
thank you so much for your time. Jay

Click here to see answer by stanbon(75887) About Me 
Question 153613: hi,
my name is jay, and i am struggling with this question. the question is:
if a pitcher throws a baseball 90 miles per hour, how many seconds does it take for the ball to reach home plate?
here's what i've tried:
time equals distance divided by speed
i divide 60.5 feet by 90 mph, and i get .6722 seconds.
Then i thought, can i really solve this equation this way? can i use feet in distance as the numerator and miles per hour in divisor. I'm not sure how to solve this.
thank you so much for your time. Jay

Click here to see answer by scott8148(6628) About Me 
Question 153613: hi,
my name is jay, and i am struggling with this question. the question is:
if a pitcher throws a baseball 90 miles per hour, how many seconds does it take for the ball to reach home plate?
here's what i've tried:
time equals distance divided by speed
i divide 60.5 feet by 90 mph, and i get .6722 seconds.
Then i thought, can i really solve this equation this way? can i use feet in distance as the numerator and miles per hour in divisor. I'm not sure how to solve this.
thank you so much for your time. Jay

Click here to see answer by Earlsdon(6294) About Me 

Question 153791: What is the solution of x+2=2x-6?
Please and thank you! =]

Click here to see answer by checkley77(12844) About Me 

Question 153861: write an equation to solve the problem. the service pool built a pool that was 100ft by 60ft wide. they want to built a sidewalk around the pool and had 450ft of fence. what is the maximum width that the sidewalk can be?
Click here to see answer by checkley77(12844) About Me 

Question 153953: Please help me solve this equation for y. 3XY%2BY=15
Click here to see answer by Fombitz(32388) About Me 

Question 154006: After a nad day on Wall Street, Mr.Magnum lost 30% of his money, but he had $3500 left. How much money did he originally have at the beginning of the day?
Click here to see answer by checkley77(12844) About Me 

Question 154012: On a christmas package Audrey needs to use only 40-cent stamps and 16-cent stamps. If she uses twice as many 40-cent stamps as 16-cent stamps, how many of each type of stamp must she use to mail a package costing $5.76 in postage?
Click here to see answer by checkley77(12844) About Me 

Question 154093: Please help me solve this equation
n²-n-930=0

Click here to see answer by orca(409) About Me 

Question 154090: what is 81% of 285?
identify the base.
solve for the amount

Click here to see answer by checkley77(12844) About Me 

Question 154149: 72y to the 4th - 24y to the 3rd + 2y to the 2nd.
Click here to see answer by stanbon(75887) About Me 

Question 154163: fill in the missing....
z to the 3rd - 1 = ( )(z to the 2nd+z+1)

Click here to see answer by orca(409) About Me 

Question 154161: fill in the missing....
x to the 3rd + 216 = ( ) (x to the 2nd - 6x + 36)

Click here to see answer by orca(409) About Me 

Question 154160: 9w to the 3rd + 24w to the 2nd + 16w
Click here to see answer by checkley77(12844) About Me 

Question 154178: How do you know when an equation has no solutions?
Click here to see answer by stanbon(75887) About Me 

Question 153786: i can't even figure out how to begin this problem, i have looked in the book and nothing seems to be helping
Click here to see answer by Alan3354(69443) About Me 

Question 154245: What is f(x) if f(x) = z(x)+2 and z(x)=2x-3?
Click here to see answer by mangopeeler07(462) About Me 

Question 154421: F(x)=3x-5 and g(x)=1-x^2
find (FoG)(x) and (GoF)(x)
A line passes through the points (7,-3) and (1,3),find the standard form of the line(ax+by=c)

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

Question 154438: i have tried to solve this equation but i can't help me solve it please:
(0.26+y)+3y=0.98
i'm pretty sure that you can help me plz
the name of my textbook is ALGEBRA1 CALIFORNIA EDITION
section:3-3
page:128
problem:47

Click here to see answer by scott8148(6628) About Me 

Question 152655: Where are you looking if the indices i and j are equal in a square matrix?
a. Along the middle row
b. Along the middle column
c. Along the diagonal from the upper left to the lower right
d. Along the diagonal from the lower left to the upper right

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

Question 154575: x-15 = -6
____
9

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

Question 154600: 5) A tennis club offers two payment options:
Option 1: $42 monthly fee plus $5/hour for court rental
Option 2: No monthly fee but $8.50/hour for court rental.
Let x = hours per month of court rental time.
a) Write a mathematical model representing the total monthly cost, C, in terms of x for the following:
Option 1: C=_________________
Option 2: C=_________________
b) How many hours would you have to rent the court so the monthly cost of option 1 is less than option 2? Set up an inequality and show your work algebraically using the information in part a.

Click here to see answer by oscargut(2103) About Me 

Question 154605: h=18t+1/2at^2
Solving for A

Click here to see answer by orca(409) About Me 

Question 154636: I really need help can somebody polease help me?
1. Determine whether the following equations have a solution or not? Justify your answer.
a) x2 + 6x - 7 = 0
b) z2 + z + 1 = 0
c) (3)1/2y2 - 4y - 7(3)1/2 = 0
d) 2x2 - 10x + 25 = 0
e) 2x2 - 6x + 5 = 0
f) s2 - 4s + 4 = 0
g) 5/6x2 - 7x - 6/5 = 0
h) 7a2 + 8a + 2 = 0
2. If x = 1 and x = -8, then form a quadratic equation.
3. What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.
4. Create a real-life situation that fits into the equation (x + 4)(x - 7) = 0 and express the situation as the same equation.

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

Question 154662: I keep getting stuck on soving for T & B on the following Please help :)
This is an example in the book
B=0.20[$100,000-0.40($100,000-B)]
B=0.20($100,000-$40,000 +0.4B)
B=0.20($60,000 + 0.4B)
B=$12,000+0.08B
0.92B=$12,000
B=$13,043.48
Can you please explain to me how the example arrived at .92B=$12,000 in the line second from the bottom?
Thank you so mucu :0) Elizabeth

Click here to see answer by stanbon(75887) 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, 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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