Questions on Algebra: Equations answered by real tutors!

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Question 1108296: Please Help me do these problems:
1. 1y=2x-5
+4x-y=7
2. 2x-3y=12
x=4y%2B1

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

Question 1108297: Help!
1.y=-x%2B5
x-4y=10
2.x-y=2
4x-3y=11

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Question 1108298: plz solve!
2x-3y=12
2x-8y=+2

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Question 1108325: Find an interval over which the functio
F(x)=-(x+5)^2(x-4)^3 is decreasing.

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Question 1108405: A bookcase is to be constructed as shown in the figure. The length is to be 4 times the height. If 57 feet of lumber is available for the entire unit, find the length and height of the bookcase.
Click here to see answer by ikleyn(52781) About Me 

Question 1108409: Ivy Corporation gave 96 people a bonus. If Ivy had given 2 more people bonuses, Ivy would have rewarded 2/3 of the workforce. How large is Ivy’s workforce?
Click here to see answer by ikleyn(52781) About Me 

Question 1108410: Staples sells boxes of pens ($10) and rubber bands ($5). Leona ordered a total of 24 cartons for $200. How many boxes of each did Leona order?
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Question 1108410: Staples sells boxes of pens ($10) and rubber bands ($5). Leona ordered a total of 24 cartons for $200. How many boxes of each did Leona order?
Click here to see answer by greenestamps(13200) About Me 

Question 1108469: x=rational and y=rational λ^1/2=irrational and x+y*λ^1/2=0 show that x=o or y=o
Click here to see answer by ikleyn(52781) About Me 

Question 1108445: Graph the function -x^3+5x^2-2x+1
A_Find the value of x at which the given f(x) has a local maximum. Round to the nearest hundredth.
f' = -3x^2 + 10x - 2 = 0
*[invoke solve_quadratic_equation -3,10,-2]
=================
x =
B_Find the value of x at which the given f(x) has a local minimum. Round to the nearest hundredth.

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Question 1108472: A strange announcement was made on the radio about a local election with three candidates: Mrs Allan, Mr Baxter and Ms Campbell. "mrs Allan beat Mr baxter by 1/8 of the total votes cast. Mr Baxter beat Ms Campbell by 1/7 of the total votes cast. The votes cast for Mrs Allan was 350 fewer than 3 times Ms Campbell's votes." How many votes did each candidate get?

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Question 1108493: if
A system of equations is shown.
50y−30z=320 -20y+15z=-140
What is the solution to the system?
y=
z=


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Question 1108552: Which will result in a perfect square trinomial?
(3x – 5)(3x – 5)
(3x – 5)(5 – 3x)
(3x – 5)(3x + 5)
(3x – 5)(–3x – 5)

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Question 1108566: solve for (x,y)
1.-2x%2B3y=14
x%2B2y=7
2.6x-y=-4
2x%2B2y=15

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Question 1108584: solve the following simultaneous equation
15x-7y=14 (1/4)
5x-y=3 (3/4)


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Question 1108615: What operation should be perfermided first in this expression?
8 - 3 + 12 / 3 x 2
Division correct? 12/3 would be the first operation?
Thank you

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Question 1108615: What operation should be perfermided first in this expression?
8 - 3 + 12 / 3 x 2
Division correct? 12/3 would be the first operation?
Thank you

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

Question 1108718: A cube is a rectangular prism with a square face. Suppose a cube has edges 9 cm long. What is it’s lateral area? What is it’s surface area?
Click here to see answer by ikleyn(52781) About Me 

Question 1108748: Determine the equation of g(x) that results from translating the function f(x) = (x + 8)2 to the right 10 units.


A.
g(x) = (x - 2)2

B.
g(x) = (x + 18)2

C.
g(x) = (x + 8)2 - 10

D.
g(x) = (x + 8)2 + 10

Click here to see answer by greenestamps(13200) About Me 

Question 1108795: A cast-iron rod is 30 metres long. It has to be cut in two pieces such that the one piece is 8 metres longer than the other. Suppose the longer piece is p metres. How long, in terms of p, should the shorter piece be ?

[1] (8 − p) metres
[2] (8 + p) metres
[3] (p − 4) metres
[4] (p − 8) metres

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

Question 1108794: John travels x kilometres in 3 hours, at a certain average speed. An expression, in terms of x, for the
distance that John travels in 5 hours, at the same average speed, is ...

1] 5x km
[2] 3x/5 km
[3] 5x/3 km
[4] 15x km

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Question 1108799: Question 4
Suppose an ice cream costs twice as much as a chocolate. If the ice cream costs x rand, how much, in terms of x, does the chocolate cost?

[1] x/2 rand
[2] 2x rand
[3] (x + 2) rand
[4] 2/x rand

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Question 1108793: A biscuit manufacturer uses 200 grams of flour, 50 grams of sugar and 100 grams of butter for each packet
of biscuits produced. What amount of butter is needed to produce x packets of biscuits?
[1] 100x kg
[2] 0,1x kg
[3] 0,01 kg
[4] x0,01 kg

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Question 1108788: John travels x kilometres in 3 hours, at a certain average speed. An expression, in terms of x, for the
distance that John travels in 5 hours, at the same average speed, is ?

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Question 1108825: If the sum of three times a number and -5 is multiplied by 6, the answer is 42. Find the number.
Click here to see answer by algebrahouse.com(1659) About Me 
Question 1108825: If the sum of three times a number and -5 is multiplied by 6, the answer is 42. Find the number.
Click here to see answer by ikleyn(52781) About Me 

Question 1108781: The ratio of the female teachers to male teachers in a school is 4 : 3. If there are 12 male teachers at the school, how many teachers are there in total?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1108888: area of rectangle width5xy sides 2x-4
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Question 1108891: 7x^2+1x-1=0
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Question 1108923: If the product of a number and -5 is reduced by 7, the result is 15 less than three times the opposite of the number. Find the number.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1108926: There are approximately 1.6 kilometers in 1 mile. What is the distance, in miles, of 89 kilometers?
Use a proportion to solve and hound your answer to the nearest tenth of a mile

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Question 1108926: There are approximately 1.6 kilometers in 1 mile. What is the distance, in miles, of 89 kilometers?
Use a proportion to solve and hound your answer to the nearest tenth of a mile

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Question 1108857: x/1.03 + x/1.04^2 + 1/1.04^2 = 1
Click here to see answer by MathLover1(20849) About Me 

Question 1108976: 9 - 3 7/8

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Question 1109037: If 2x=a+b+c, show that (x-a)^2 + (x+b)^2 + (x-c)^2 +x^2 = a^2 + b^2 + c^2.
Click here to see answer by ikleyn(52781) About Me 

Question 1109050: Given a+b=1, a^3+b^3=16.
a). Expand (a+b)^3
b). Find the value of a^2 +b^2

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Question 1109046: After 200 throws, a coin has shown head exactly 110 times. By forming an equation and solving it, find how many further consecutive times must a head be thrown for heads to show exactly 70% of the total number of throws.
Click here to see answer by KMST(5328) About Me 

Question 1109070: For my homework, I need step by step instructions.
Point slope form for this problem (-2,1); m=-2
Next problems:
Write the equation for: What number should be added to -64 to get -70.
Write the equation for: -64 times a number minus 70 is equal to -14 less than the number.
If the formula for the circumference of a circle is: C=2PIr, r(radius) would equal= (Show work to get "r" alone):
Solve for "x" in the inequality: -3(2x-5)< 3 (x-1)
Thank you so much for your help!

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

Question 1109079: Find the center (h, k) and radius r of the circle with the given equation (x - 6)2 + (y - 2)2 = 16.

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

Question 1109078: Find an equation for the line with the properties of a vertical line containing the point (-6, -4).

Click here to see answer by Edwin McCravy(20055) About Me 
Question 1109078: Find an equation for the line with the properties of a vertical line containing the point (-6, -4).

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Question 1109077: (-3)5 + (5)7
2(-3) – 7(2) =

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

Question 1109114: Which value of b makes the equation b divide 4 =b-12 true?
Click here to see answer by Alan3354(69443) About Me 

Question 1109142: can you help me find the first derivative of this. im confused.
f(a)=(17)/(2a^3) + (1)/(8a^2) - 119

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Question 1109211: Car A travels at an average speed of 60 mph. Car B travels at an average speed of 45 mph. In the time it takes car B to travel a certain distance d. Car A travels 180 miles farther. Find the distance that each car travels and the time of its trip.
It took__ Hours for car A to travel__ Miles and car B to travel___ miles.

Click here to see answer by josgarithmetic(39617) 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