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

Algebra ->  Linear-equations -> Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!      Log On


   



Tutors Answer Your Questions about Linear-equations (FREE)


Question 162195: Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent.
y=3(x-4)
3x-y=12

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

Question 162156: Solve each by substitution 3x -4y =-22 and -3x +y = o
Click here to see answer by KnightOwlTutor(293) About Me 

Question 162225: How do I write the equation of a line, with the given properties, in general form? Passing through P(2,5) and parrallel to x=4 ?
Click here to see answer by KnightOwlTutor(293) About Me 

Question 162406: how do you solve this problum
Click here to see answer by Alan3354(69443) About Me 

Question 162411: x-y+5z=22
2x + z= 5
x+4y+z=17

Click here to see answer by gonzo(654) About Me 

Question 162420: -8y = x + 8
Click here to see answer by stanbon(75887) About Me 

Question 162422: y + 2 = 0
Click here to see answer by checkley77(12844) About Me 

Question 162444: A hotdog stand can purchase hotdogs for $.35 each and buns for $.20 each. It has fixed costs of $50. Each hotdog is sold for $1.
write a linear equation for both cost and revenue.
Graph both cost and revenue.
Estimate the break-even point.

Click here to see answer by Anthea Lawn(22) About Me 

Question 162443: A hotdog stand can purchase hotdogs for $.35 each and buns for $.20 each. It has fixed costs of $50. Each hotdog is sold for $1.
write a linear equation for both cost and revenue.
Graph both cost and revenue.
Estimate the break-even point.

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

Question 162571: Given the equation C(g)=3.03(g)...what does the number 3.03 represent?...Find C(2)...name one value that would be inappropriate for this function's purpose...graphing C(g), what would be the domain...range...find the slope:coordinates(1997, 1.26) and (2006, 2.31)If you can help me I would be forever grateful.
Click here to see answer by stanbon(75887) About Me 

Question 162649: hi,
Can u solve this system of linear equation?
The question is:
x-y 4
___ = _
x+y 5
Its x-y divided by x+y which is equal to 4 divided by 5
I need the answer today.
Thank u

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

Question 162746: i dont get how to solve or use y=mxtb
Click here to see answer by vleith(2983) About Me 

Question 162767: Hi, I don't have a specific problem. I came across this website and was hoping you could help me. I'm currently in Afghanistan and can't run to the nearest Borders and by a Liner Equations for Dummbies book, so I was hoping you could maybe point me in the direction of a really good website that could "Crayola" style break it all down for me. Any help would be greatly appreciated!!!
Thanks,
Viki

Click here to see answer by nerdybill(7384) About Me 
Question 162767: Hi, I don't have a specific problem. I came across this website and was hoping you could help me. I'm currently in Afghanistan and can't run to the nearest Borders and by a Liner Equations for Dummbies book, so I was hoping you could maybe point me in the direction of a really good website that could "Crayola" style break it all down for me. Any help would be greatly appreciated!!!
Thanks,
Viki

Click here to see answer by gonzo(654) About Me 

Question 162771: Hi, I don't have a specific problem. I came across this website and was hoping you could help me. I'm currently in Afghanistan and can't run to the nearest Borders and by a Linear Equations for Dummies book, so I was hoping you could maybe point me in the direction of a really good website that could "Crayola" style break it all down for me. Any help would be greatly appreciated!!!
Thanks,
Viki

Click here to see answer by elima(1433) About Me 

Question 162860: would you please be able to tell me how to make this equation x-y=-9 into a general form and would you also be able to explain how you got it please
Click here to see answer by checkley77(12844) About Me 

Question 162926: how do i turn this problem into standard form
-1/6x=3y-8

Click here to see answer by elima(1433) About Me 

Question 162927: how would the graph look if it showed a line that passes through (1,-2),perpendicular to a line with a slope of -1/4
Click here to see answer by elima(1433) About Me 

Question 163258: write the equation of each line according to the information given.
Y- intercept 6; parallel to x axis

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

Question 163256: A taxi cab company charges each person a flat fee of $1.85 plus an additional $.40 per quarter mile. Write a formula to find the total cost for each fare
Click here to see answer by checkley77(12844) About Me 

Question 163246: homecoming dance tickets are $35 for couples and 20 for singles.If there were 28 people total in the dance and the amount of money made was $2280 .How many singles and couples tickets were sold ?
Click here to see answer by joecbaseball(37) About Me 

Question 163215: I only have two Question. I do not understand how to "write an equation in a standard form for a line containing the point (2,3) and parallel to the following lines:"
x+y=1
y=2x-3
I have tried but have not prevailed. If I could get help that would be AWESOME...
Textbook: Algebra 1 0-052217-x Chapter 5.6

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

Question 163243: Debbie is making apple dumplings. They have to be made from 6 inch square pieces of dough. In order to make 6 dumplings, what is the formula or equation to determine the size of the rectangle of dough?

Click here to see answer by edjones(8007) About Me 

Question 163290: y =4
- x- 3
3

Click here to see answer by elima(1433) About Me 

Question 163428: The sum of three consecutive integers is 53 more than the least of the integers. Find the integers.

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

Question 163463: PLEASE HELP I JUST DON'T UNDERSTAND THESE PROBLEMS AND I DON'T KNOW WHAT TO DO. PLEASE HELP ME....
: Graphical Representation of Linear Equations
1. Plot the graph of the equations 3x - 8y = 5 and 4x - 2y = 11 and interpret the result.
2. Plot the graph of the equations 4x - 6y = 2 and 2x - 3y = 1 and interpret the result.
3. Plot the graph of the equations 10x - 4y = 3 and 5x - 2y = 6 and interpret the result.

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

Question 163507: 3days = $75
4days = $100
5days = $125
what is the rate of change

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

Question 163509: 1. PLOT THE GRAPH OF THE EQUATIONS 3x - 8y = 5 and 4x - 2y = 11 AND INTERPRET THE RESULT.
2. PLOT THE GRAPH OF THE EQUATIONS 4x - 6y = 2 AND 2x - 3y = 1 INTERPRET THE RESULT.
3. PLOT THE GRAPH OF THE EQUATIONS 10x - 4y = 3 AND 5x - 2y = 6 INTERPRET THE RESULT.

4. SOLVE THE FOLLOWING QUESTIONS
a. JOE HAS A COLLECTION OF NICKELS AND DIMES THAT IS WORTH $5.65. IF THE NUMBER OF DIMES WERE DOUBLED AND THE NUMBER OF NICKELS WERE INCREASED BY 8, THE VALUE OF THE COINS WOULD BE $10.45. HOW MANY DIMES DOES HE HAVE?
b. AN EXPRESS AND LOCAL TRAIN LEAVE GRAY'S LAKE AT 3 P.M. AND HEAD FOR CHICAGO 50 MILES AWAY. THE EXP0RESS TRAVELS TWICE AS FAST AS THE LOCAL, AND ARRIVES 1 HOUR AHEAD OF IT. FIND THE SPEED OF EACH TRAIN.
c. WALT MADE AN EXTRA $9000 LAST YEAR FROM A PART-TIME JOB. HE INVESTED PART OF THE MONEY AT 9% AND THE REST 8%. HE MADE A TOTAL OF $770 IN INTEREST. HOW MUCH WAS INVESTED AT 8%?

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

Question 163590: how do you get the answer to
y = -3x + 2
get x alone or equal a number

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

Question 163625: write the equation of the line through (7,1) parallel to the graph y=5/3x-2
Click here to see answer by mathispowerful(115) About Me 

Question 163635: How do you wirte the slope-intercept form of an equation of the line that passes through the given points and its parrell to the graph of each equation?
(-2,5), y=-4x+2

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

Question 163674: Hi....I am having a really hard time with word problems. I am not sure how to make this into an equation. Please help!!!
Assume car 1 costs $20,000 to buy and 20 cents per mile to operate, and car 2 costs $25,000 to buy and 16 cents to operate. How many miles must the cars be driven before the costs are the same? What is the cost per car at that moment?
Thank You...Kathy Gafford

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

Question 163676: Hi....I am having a really hard time with word problems. I am not sure how to make this into an equation. Please help!!!
Tank A contains 3000 gallons of water and Tank B contains 1000 gallons of water. The water in tank A is being drained into Tank B at the rate of 3/2 gal/minute, while water leaks from Tank B at 1/2 gal/min. How long until Tank A has the same amount of water as Tank B? How much water does each tank contain then?
Thank you.....Kathy Gafford

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

Question 163675: Hi....I am having a really hard time with word problems. I am not sure how to make this into an equation. Please help!!!
Assume car 1 costs $20,000 to buy and 20 cents per mile to operate, and car 2 costs $25,000 to buy and 16 cents to operate. How many miles must the cars be driven before the costs are the same? What is the cost per car at that moment?
Thank You...Kathy Gafford

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

Question 163678: Hi....I am having a really hard time with word problems. I am not sure how to make this into an equation. Please help!!!
A bug population initially has 10^5 bugs, but is decreasing at a steady rate. In 30 days there are only 3.325 x 10^4 bugs. When was there 1.1 x 10^4 bugs? To the nearest day, when will there be no bugs?
Thanks,
Kathy Gafford

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

Question 163692: The charge for a one-day rental of a car from Shurtz Car Rental Agenct is $24 plus 15 cents for each mile driven.
a. If Jill drives 85 mi in one day, how much is the charge?
b. If a one-day rental cost Jill $42, how far did she drive?

Click here to see answer by checkley77(12844) About Me 
Question 163692: The charge for a one-day rental of a car from Shurtz Car Rental Agenct is $24 plus 15 cents for each mile driven.
a. If Jill drives 85 mi in one day, how much is the charge?
b. If a one-day rental cost Jill $42, how far did she drive?

Click here to see answer by midwood_trail(310) About Me 

Question 163677: Hi....I am having a really hard time with word problems. I am not sure how to make this into an equation. Please help!!!
Tom is twice as old as Jill. In 6 years, Tom will be half again as old as Jill. How old are Tom and Jill?
Thanks....Kathy Gafford

Click here to see answer by midwood_trail(310) About Me 

Question 163679: Hi....I am having a really hard time with word problems. I am not sure how to make this into an equation. Please help!!!
When will Johnson be twice as wealthy as Smith if each has $4000 now and if their estates are increasing at the annual rates of $400 for Smith and $1200 for Johnson?
Thanks,
Kathy Gafford

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

Question 163724: Write an equation of the line with the given slope and y-intercept.
Slope is 8;y-intercept is -7

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

Question 163763: please help me solve and understand how to solve b+2.25 =1
Click here to see answer by checkley77(12844) About Me 

Question 163858: y=2x-4 Plot the y-intercept and find other points using the slope. Connect the points.

Click here to see answer by midwood_trail(310) About Me 

Question 163875: I have tried all ways my teacher showed us to do this problem. The answer key says the answer is -15. I can't figure out how to arrive at this answer.
y/5+9=6

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

Question 163876: 2x-5y=0 Find the x and y intercepts and then graph, I do not know how to graph (0,0)which way do I draw the line
Click here to see answer by Fombitz(32388) About Me 
Question 163876: 2x-5y=0 Find the x and y intercepts and then graph, I do not know how to graph (0,0)which way do I draw the line
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