Questions on Algebra: Equations answered by real tutors!

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Question 1118300: If x +1/x= 6, find the value of x^2 +1/x^2
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Question 1118300: If x +1/x= 6, find the value of x^2 +1/x^2
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Question 1118350: In this systems of equations, how can I figure out what the 2nd equation's minimum/least dollar value is?
Purchases of $6 or $4 each month. Is there a better way to solve this?
Thanks in advance.
m+s=12
6m+4s=?

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Question 1118362: 2p-6=p-18
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Question 1118370: in a class where all students play either cricket or football or both, if the number of students who play 2 games is 40 which is 60 less than the number of students who play only one of the games. find the strength of the class
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Question 1118373: if x + 1/x = 6, find the value of x^2 + 1/x^2.
Click here to see answer by HEY654321(7) About Me 
Question 1118373: if x + 1/x = 6, find the value of x^2 + 1/x^2.
Click here to see answer by ikleyn(52776) About Me 
Question 1118373: if x + 1/x = 6, find the value of x^2 + 1/x^2.
Click here to see answer by MathTherapy(10551) About Me 

Question 1118371: P and Q are two points 16m apart in a hill, which has a slope of 5 degrees. From the base Q, an engineer measured the angle of elevation to the top of a rock further up the hill to be 35 degrees, while from P, the angle of elevation was found to be 54 degrees.
find the perpendicular height of the rock above P.

Click here to see answer by greenestamps(13198) About Me 

Question 1118430: A​ high-rise condominium building is 408408 feet high. Suppose that a ball is projected upward from the top and its position s in feet above the ground is given by the equation s equals negative 16 t squared plus 80 t plus 408s=−16t2+80t+408​, where t is the number of seconds elapsed. How long will it take for the ball to reach a height of 460460 feet above the​ ground?
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Question 1118434: Approximatel 33,500 citizens of a country died in automobile accidents in 2015. Express this toll in deaths per day.
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Question 1118514: It’s been awhile since I have had Algebra. I looking at an equation that I just don’t get! 10x + 2=7 How do I start looking at the formula for this! Thank you in advance
Click here to see answer by math_helper(2461) About Me 
Question 1118514: It’s been awhile since I have had Algebra. I looking at an equation that I just don’t get! 10x + 2=7 How do I start looking at the formula for this! Thank you in advance
Click here to see answer by ikleyn(52776) About Me 
Question 1118514: It’s been awhile since I have had Algebra. I looking at an equation that I just don’t get! 10x + 2=7 How do I start looking at the formula for this! Thank you in advance
Click here to see answer by josgarithmetic(39616) About Me 
Question 1118514: It’s been awhile since I have had Algebra. I looking at an equation that I just don’t get! 10x + 2=7 How do I start looking at the formula for this! Thank you in advance
Click here to see answer by greenestamps(13198) About Me 
Question 1118514: It’s been awhile since I have had Algebra. I looking at an equation that I just don’t get! 10x + 2=7 How do I start looking at the formula for this! Thank you in advance
Click here to see answer by Shin123(626) About Me 

Question 1118554: The figure below shows how the price of Amazon's Kindle has decreased over time. The green line is a trend line. (You can check that the hash marks on the horizontal axis are one-month intervals.)

The trend line estimates that the price was $432 in November 2007 and $80 in September 2011. (That is an interval of 46 months.) Find the formula for the price, in dollars, as a linear function of the time t in months since November 2007. (Round numerical values to two decimal places.)

Click here to see answer by josgarithmetic(39616) About Me 
Question 1118554: The figure below shows how the price of Amazon's Kindle has decreased over time. The green line is a trend line. (You can check that the hash marks on the horizontal axis are one-month intervals.)

The trend line estimates that the price was $432 in November 2007 and $80 in September 2011. (That is an interval of 46 months.) Find the formula for the price, in dollars, as a linear function of the time t in months since November 2007. (Round numerical values to two decimal places.)

Click here to see answer by Shin123(626) About Me 

Question 1118553: Suppose that you are at the base of a hill and see a sign that reads "Elevation 3700 Feet." The road you are on goes straight up the hill to the top, which is 3 horizontal miles from the base. At the top, you see a sign that reads "Elevation 4300 Feet." What is the growth rate in your elevation with respect to horizontal distance as you drive up the road?

Use V for elevation in feet and h for horizontal distance in miles, and find a formula that gives your elevation as a linear function of your horizontal distance from the base of the hill.



Click here to see answer by josgarithmetic(39616) About Me 

Question 1118552: The Consumer Price Index (CPI) is calculated by the U.S. Department of Labor. It is a measure of the relative price of a typical market basket of goods in the given year. The percentage increase in the CPI from one year to the next gives one measure of the annual rate of inflation. The following table shows the CPI in December of the given year. Here, C represents the Consumer Price Index, and t is the time in years since December 2005.
t 0 1 2 3 4 5 6 7
C 196.8 201.8 210.0 210.2 215.9 219.2 225.7 229.6
In the figure on the left, we have plotted the data, and in the figure on the right, we have added the trend line, which is given by
C = 4.55t + 197.72.


Determine the slope of the trend line.

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Question 1118572: 1/4c+3d when c=6 and d=7

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Question 1118572: 1/4c+3d when c=6 and d=7

Click here to see answer by Shin123(626) About Me 

Question 1118581: Write an equation of the line containing the given point and parallel to the given line.
(3,-2); 8x-7y=4
Thank you!

Click here to see answer by ikleyn(52776) About Me 

Question 1118584: Write an equation of the line containing the given point and perpendicular to the given line. Express your answer in the form yequalsmxplusb.
(3,9); 6x+y=5

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

Question 1118648: A triangle has a perimeter of 161m. If the second side length is 5m longer than than the first side and the third side is 3m shorter than the first side, what are the three side lengths? Include a labelled diagram.
Click here to see answer by greenestamps(13198) About Me 

Question 1118780: two less than eight times unkown number is -74 what is the unkown number
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Question 1118780: two less than eight times unkown number is -74 what is the unkown number
Click here to see answer by Shin123(626) About Me 

Question 1118870: What should be added to -5/4 to get -1?

Click here to see answer by josgarithmetic(39616) About Me 
Question 1118870: What should be added to -5/4 to get -1?

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Question 1118868: solve using gauss elimination method:
X1 + 2 X2 + X3 = 0
2X1 + 2 X2 + 3 X3 = 3
-X1 - 3 X1 = 2

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Question 1117745: A three digit number is such that the sum of its digits its 11. if the tens digit is a third of the hundreds digit and the hundreds digit is twice the unit digit. Find the three digit number (3 marks)
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Question 1117741:
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Question 1117918: The length of a rectangle is one less than twice the width. The area of the rectangle is 66. What are the dimensions of the rectangle? Only an algebraic solution will be accepted.
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Question 1118936: If x^y = a and x^4y-4 = 77, find the value of a
Click here to see answer by ikleyn(52776) About Me 
Question 1118936: If x^y = a and x^4y-4 = 77, find the value of a
Click here to see answer by MathTherapy(10551) About Me 

Question 1118982: If x^y = a and x^(4y) - 4 = 77, find the value of a.
Thank you :)

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Question 1118982: If x^y = a and x^(4y) - 4 = 77, find the value of a.
Thank you :)

Click here to see answer by ikleyn(52776) About Me 

Question 1118985: Using the formula for exponential population growth: New population size = r*N + N, calculate the new population size in the data table below:
Number of generations Populations size (N) Growth rate
0 10 0.6
1 16 0.6
2 ??

a. 22.6

b. 24.2

c.25.6

d. 30.4

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Question 1119035: if 3x^2-2x+7=0, then (x-1/3)^2=
A. 20/9
B. 7/9
C. -7/9
D. -8/9
E. -20/9
(im studying for college)

Click here to see answer by josgarithmetic(39616) About Me 
Question 1119035: if 3x^2-2x+7=0, then (x-1/3)^2=
A. 20/9
B. 7/9
C. -7/9
D. -8/9
E. -20/9
(im studying for college)

Click here to see answer by MathTherapy(10551) About Me 
Question 1119035: if 3x^2-2x+7=0, then (x-1/3)^2=
A. 20/9
B. 7/9
C. -7/9
D. -8/9
E. -20/9
(im studying for college)

Click here to see answer by ikleyn(52776) About Me 

Question 1119107: If a^2 + b^2 = 11ab and a>b >0, prove that {(a-b)/3}=1/2 (log a + log b)
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Question 1119108: If log S - log pie = 2 log 2 + 2 log r, Express the relation between S and r free from logarithm.
Click here to see answer by josgarithmetic(39616) About Me 
Question 1119108: If log S - log pie = 2 log 2 + 2 log r, Express the relation between S and r free from logarithm.
Click here to see answer by Alan3354(69443) About Me 

Question 1119226: Find all real solutions to the equation 4^x - 5(2^x) - 24 = 0
Click here to see answer by Alan3354(69443) 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