Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Question 34387: What if an equation had three variables?

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Question 34393: In all equations of graphs the equation is y=mx+b. Being that "m" is equal to the slope and "b" representing the y-interscept. My question is why do they use those specific letters for the equation?
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Question 34437: how do you write the equation of a line in standard form with a slope of 3 and ay intercept of 2

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Question 33929: I need help with solving this equation, too: -27.23+x=9.77
Click here to see answer by checkley71(8403) About Me 

Question 34430: For the systems of linear equations in this question
- Determine how many solutions exist
- Use either elimination or substitution to find the solutions (if any)
- Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection
x + y = 3 and y = x + 3

Click here to see answer by venugopalramana(3286) About Me 

Question 34429: For the systems of linear equations in this question
- Determine how many solutions exist
- Use either elimination or substitution to find the solutions (if any)
- Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection
y = 2x + 3 and y = -x - 4

Click here to see answer by venugopalramana(3286) About Me 

Question 34428: For the systems of linear equations in this question
- Determine how many solutions exist
- Use either elimination or substitution to find the solutions (if any)
- Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection
2x + 3y = 8 and 3x + 2y = 7

Click here to see answer by venugopalramana(3286) About Me 

Question 34427: For the systems of linear equations in question 1
- Determine how many solutions exist
- Use either elimination or substitution to find the solutions (if any)
- Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection
1. (8 points) y = 2x + 3 and y = -x - 4

Click here to see answer by venugopalramana(3286) About Me 

Question 34368: - Determine how many solutions exist
- Use either elimination or substitution to find the solutions (if any)
- Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection
(8 points) x + y = 3 and y = x + 3

Click here to see answer by venugopalramana(3286) About Me 

Question 34367: - Determine how many solutions exist
- Use either elimination or substitution to find the solutions (if any)
- Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection
(8 points) 2x + 3y = 8 and 3x + 2y = 7

Click here to see answer by venugopalramana(3286) About Me 

Question 34366: - Determine how many solutions exist
- Use either elimination or substitution to find the solutions (if any)
- Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection
1. (8 points) y = 2x + 3 and y = -x - 4

Click here to see answer by venugopalramana(3286) About Me 

Question 34546: Please help... I am going crazy!! Question; Find the slope of the line satisfying the given condtions. #36 Through (5,-3) and (1,-7). Thank you so much for your help! Angela M
Click here to see answer by checkley71(8403) About Me 

Question 34260: In this word problem I got the equation 6(C+1800). I have to find C-that's if the equation is even right. The problem reads: The Alpine Valley Ski Shop sells both cross-country and downhill skis. During a year they sell six times as many dowmhill skis as cross country skis. Determine the number of pairs of cross-country skis sold if the difference in the number of pairs of downhill and cross-country skis sold is 1800.
Click here to see answer by checkley71(8403) About Me 

Question 34571: On the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school.
Click here to see answer by stanbon(75887) About Me 

Question 34602: For the system of linear equations in questions 1
- Determine how many solutions exist
- Use either elimination or substitution to find the solutions (if any)
- Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection
3x + 7y = 3 and 12x + 28y = 16

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

Question 34597: This is a problem my mom gave me and it is driving me crazy. I am in the 5th grade and in an advanced math class, but I cannot get this. The problem is to write an algebraic expression that will let me describe a set of data. The data when plotted on a grid has one row of 3 tiles then three rows of 5 tiles then one row of 3 tiles and then three rows of 5 tiles and keps on repeating. So the data in two colums (column one being tiles in next row and column two being the total tiles 'so far) is as follows:
# tiles (Column 1) Total So Far (Column 2)
3 3
5 8
5 13
5 18
3 21
5 26
5 31
5 36
3 39
Can you please help me write an algebraic expression to describe the above data?
Thanks

Click here to see answer by venugopalramana(3286) About Me 

Question 34633: Question; Decide whether of not the equations has a circle as its graph. If it does, give the center and the radius. #20. x^2-12x+y^2+20=0 Thank you so much for your help. Angela
Click here to see answer by venugopalramana(3286) About Me 

Question 34631: I have 2 questions
a/ A is nxn matrix and v1,v2,...,vn be linearly independent in Rn. What must be true about A for Av1, Av2,..., Av3 to be linearly independent?
b/ Must a basis of Pn contain a polynomial of degree K for each k=0,1,...,n ? Justify your answer

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Question 34630: I am having a problem understanding part A of question # 70. Directions; The table gives the number of cellular telephones subscribers (in thousands) from 1994 through 1999. Question for part A is; Find the change in subscribers for 1994-1995, 1995-1996 and so on.
The table reads as follows:
1994-24,134
1995-33,786
1996-44,043
1997-55,312
1998-69,209
1999-86,047

Click here to see answer by checkley71(8403) About Me 

Question 34634: I ask this question yesterday and I didn't get a response. I thought I would try today and see what happens. Thanks so much for your time. Question; Find the slope of the line and sketch the graph. #48. -4y=5x
I came up with 0-(4-)/5-0 = 4/5 or (0,4), (5,0) but I am not sure I did it right. Thanks so much for your time. I really appericate it. Angela

Click here to see answer by checkley71(8403) About Me 

Question 34570: In a survey, 20 voters were asked their age. The results are summarized in the frequency below. Construct a histogram.
Age of voters # of voters
20 - 29............ 5
30 - 39............ 5
40 - 49............ 6
50 - 59............ 0
60 - 69............ 4

Click here to see answer by checkley71(8403) About Me 

Question 34671: Convert to scientific notation:
0.000347
Explain in detail please?
Thanks so much!

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Question 34795: Hi,
I need to graph this problem:y=x+2
y=2x+1
I know that the solution is (1,3). Its just every time that I try to graph the equation, my lines dont cross correctly. So that you are not confused with what I am talking about, I am supposed to be solving linear systems by graphing. Please, if you can email this to me before 4/25/06 since it is 4/24/06 that would be great! Thank you and have a great day!
Sincerely,
a student working for 1st honors this marking period

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

Question 34799: Determine the equation fo each line. Write the answer in standard form using only intergers as the coefficients.
The Line through (-2,0) iwth slope -3/4.
I tried.
Y=mx+b
Y=-3/4+-2/0
?

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Question 34801: Sorry, typed the e-mail wrong.
Question: Determine the equation of each line. Write the answer in standard form using only intergers as the coefficient.
#36 The line through (-2,0) with slope -3/4.
I tried. y=mx+b
y=-3/4x+-2/0

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

Question 34797: This is from a worksheet from Glencoe Algebra 1.
Mr Adim's science class launched a toy rocket from ground level with an initial upward velocity of 60 feet per second. The height h of the rocket in feet above the ground after t seconds is modeled by the equation
h=60t-16t%5E2.How long was the rocket in the air before it returned to the ground?

Click here to see answer by longjonsilver(2297) About Me 
Question 34797: This is from a worksheet from Glencoe Algebra 1.
Mr Adim's science class launched a toy rocket from ground level with an initial upward velocity of 60 feet per second. The height h of the rocket in feet above the ground after t seconds is modeled by the equation
h=60t-16t%5E2.How long was the rocket in the air before it returned to the ground?

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

Question 34882: 7y+7x=21x+35 slove for y
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Question 34859: THe question is "A chemical factory makes two different chemicals A and B and can sell all that it is able to produce. It has orders for at least 200 kg of A and 100 kg of B, but can produce at most a total of 700 kg of the chemicals due to limited resources. If the profit on A is $300 per kg and $400 per kg on B, how many kg of each should be produced in order to maximise profit? I need to know what the constraints are in this qestion plz
Click here to see answer by venugopalramana(3286) About Me 

Question 34879: What is 3y+6x=24?
Click here to see answer by longjonsilver(2297) About Me 

Question 34961: Which point will be the result, when we start at the origin and move 15 units to the left and then move 11 units up? Write your answer as an ordered pair.

Click here to see answer by checkley71(8403) About Me 
Question 34961: Which point will be the result, when we start at the origin and move 15 units to the left and then move 11 units up? Write your answer as an ordered pair.

Click here to see answer by Prithwis(166) About Me 

Question 34632: Question; Write and equation (a) in standard form and (b) in slope-intercept form. # 38. Through(-2,0), perpendicular to 8x-3y=7
I really don't understand what "Through" means? I don't understand the equation either. But I really don't get through. Thanks so very much!

Click here to see answer by kietra(57) About Me 

Question 34880: What is 5=4y-3x
Click here to see answer by Prithwis(166) About Me 

Question 34977: Is this one as easy as it looks? 7.2+x=7.2
Click here to see answer by checkley71(8403) About Me 

Question 34976: I need to solve this equation: -27.23+x=9.5
Click here to see answer by Prithwis(166) About Me 

Question 35066: x+2= 2x-1
Click here to see answer by longjonsilver(2297) About Me 

Question 35104: I need help solving this equation: -0.42x=-2.142
Click here to see answer by Bb(20) About Me 

Question 35111: I need help to solve this
3(4-x)+5x=9

Click here to see answer by longjonsilver(2297) About Me 

Question 35109: It says to solve for x in this problem
1/5(x+2)=-3

Click here to see answer by longjonsilver(2297) About Me 
Question 35109: It says to solve for x in this problem
1/5(x+2)=-3

Click here to see answer by Prithwis(166) About Me 

Question 35107: I typed in a different equation--it's actually this one I need help solving: -a/8=-7
Click here to see answer by longjonsilver(2297) About Me 
Question 35107: I typed in a different equation--it's actually this one I need help solving: -a/8=-7
Click here to see answer by Prithwis(166) About Me 

Question 35115: I'm sorry, I didn't hit the shift key, so instead of a ( I typed a 9. here's the problem again: 1/5(x+2)=-3
Click here to see answer by stanbon(75887) About Me 
Question 35115: I'm sorry, I didn't hit the shift key, so instead of a ( I typed a 9. here's the problem again: 1/5(x+2)=-3
Click here to see answer by Prithwis(166) 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