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 729299: Write a slope-intercept equation for a line with the given characteristics.
m = - 3/5, passes through (-4,-1) y = mx + b
I thought it would be y = -3/5(-4) + -1
y = 12/5x + -1
The answer in the book says it's y = -3/5x - 17/5
I don't understand what happened with (-4,-1) or how the y-intercept became 17/5.
The book example only shows a simple m = -4, y-intercept (0,-7) Which I know is Y = -4x - 7.
I didn't take Algebra in high school. (I've been out for a lot of years) College Algebra is required for my degree, and it is draining me. I spend hours watching teachers on you tube.
Thank you for any steps and help you can give me.

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

Question 729118: How do you write the equation in slope intercept form of the line that has a slope of 2 and y intercept of -2
Click here to see answer by mothernature31(1) About Me 

Question 729316: The lines described by y=(a+12)x+3 and y=4ax are parrell. What is the value of a?
Click here to see answer by mananth(16946) About Me 

Question 729411: Calculate the slope of the line between the points (-3,-9) and (5,-7)
Click here to see answer by ohtheirony(35) About Me 

Question 729462: WRITE AN EQUATION FOR THE POINT-SLOPE L GIVEN A POINT OF (-1,1) AND IS PARALLEL TO Y=2X
Click here to see answer by MathLover1(20849) About Me 

Question 729479: I need to solve the systems of equations 2x+4y=-2, 2x-y=4
I got the answer 7/5 and I was trying to put the answer in but I got 2(14/10) I don't know how they came up with the answer (7/5,-6/5) How did they get -6/5 for the y?

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

Question 729514: Identify two products your company will make.
Assign variables to the two products; please use x and y.
Decide on a maximum or minimum number of each type of product your company will produce per day (or week/month/year). Don’t make your number too big or too small. Try to make this as realistic as possible.
Decide on the cost for each product.
Decide on the total production costs you anticipate your company will pay each day (or week/month/year).
Design the system of inequalities.
Graph the system of inequalities.

Click here to see answer by lynnlo(4176) About Me 

Question 729547: Hi there! I'm wondering what the best method would be to solve a system of three linear inequalities with only two variables each?
Example:
3x+5y ‹(or equal to) 180
5x+2y ‹(or equal to) 90
8x+3y ‹(or equal to) 240
My first instinct was to solve using the elimination method, but I don't know how to apply it to 3 equations.
I'm on my tablet, so I apologize that I can't use the less-than-or-equal-to symbols.
Any help is immensely appreciated!

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

Question 729560: Solve the system of equations by using subsitution. y = 5x + 6 and y = -2x - 8
Click here to see answer by mbmodak(32) About Me 

Question 729602: 1)if the line passing through the points (2,a) and (5,-3) is parallel to the line passing through the points (4,8) and (-5,a+1), what is the value of a?
2) determine the value of k for which the system of linear equations has no solution
2x-y=3
4x+ky=5

Click here to see answer by mananth(16946) About Me 

Question 729518: Name your company.
Identify the type of business (i.e., clothes, electronics, furniture, etc.).
Identify two products your company will make.
Assign variables to the two products; please use x and y.
Decide on a maximum or minimum number of each type of product your company will produce per day (or week/month/year). Don’t make your number too big or too small. Try to make this as realistic as possible.
Decide on the cost for each product.
Decide on the total production costs you anticipate your company will pay each day (or week/month/year).
Design the system of inequalities.
I've already got my company name and am using shirts and dresses. Shirts(x)will be $20 and dresses (x) will be $40. I've also got that my company can make 20 dresses a day and 30 shirts a day and my company cannot exceed production costs of $600 a day. I know how to graph the equations i just dont know how to set them up..

Click here to see answer by lynnlo(4176) About Me 

Question 729573: How much salt should be added to a 60kg of a 20% of a salt solution to increase it to 40% of a salt solution?
Click here to see answer by lynnlo(4176) About Me 

Question 729710: find the slope of a line parallel to the line that passes through the following points. (4,11) and (-2,1)
Click here to see answer by josmiceli(19441) About Me 

Question 729854: Please help me with the follwing problem:
Use substitution to solve the linear system. Decide if the system is consistent or inconsistent. If the system is consistent, decide if it is dependent or independent. Explain your answer using words, symbols, or both.
x+4y=-1
2x-y=7
also;
3x-y=15
6x-2y=2
Thank you!

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

Question 730007: I need to answer thisone but im not sure how:
8 - 9/7x equal to or greater than 9
I have:
8 - 9/7x = 9
-9/7x=1

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

Question 729952: Determine the equation of the line passing through the point (1;2) and parallel to the line y=-3x
Click here to see answer by mananth(16946) About Me 

Question 730137: Someone PLEASE HELP me solve this inequality problem !
~ Graph the inequality x + y is Less than or Equal to 4. Give it in interval
notation.
Thank You !

Click here to see answer by solver91311(24713) About Me 
Question 730137: Someone PLEASE HELP me solve this inequality problem !
~ Graph the inequality x + y is Less than or Equal to 4. Give it in interval
notation.
Thank You !

Click here to see answer by MathLover1(20849) About Me 
Question 730137: Someone PLEASE HELP me solve this inequality problem !
~ Graph the inequality x + y is Less than or Equal to 4. Give it in interval
notation.
Thank You !

Click here to see answer by lynnlo(4176) About Me 

Question 730235: Solve the following system of linear equations.
x − 2y + 3z = −11
2x − z = 8
3y + z = 10.

Click here to see answer by lynnlo(4176) About Me 

Question 730492: Find the slope of the line containing the pair of points
(-18,-9) and ((-19, -13)

Click here to see answer by rfer(16322) About Me 
Question 730492: Find the slope of the line containing the pair of points
(-18,-9) and ((-19, -13)

Click here to see answer by mananth(16946) About Me 

Question 730616: Find an equation for the line that passes through (0,-5) and is perpendicular to the graph of x+3y=4. Write in Slope-Intercept form:
So far I have
x+3y-3y-4=4-3y-4
x-4=-3y
then divide each side by -3
-1x/3-(-4/3)=y or y=-1x/3+3/4
-5=-1(0)/3+3/4 it gets mixed up from here, am I even doing this correctly? Thanks

Click here to see answer by mananth(16946) About Me 
Question 730616: Find an equation for the line that passes through (0,-5) and is perpendicular to the graph of x+3y=4. Write in Slope-Intercept form:
So far I have
x+3y-3y-4=4-3y-4
x-4=-3y
then divide each side by -3
-1x/3-(-4/3)=y or y=-1x/3+3/4
-5=-1(0)/3+3/4 it gets mixed up from here, am I even doing this correctly? Thanks

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

Question 730658: Please help with this question;
Determine the x-intercept and y-intercept of the graph x/3 + y/4 = 2. the answer that i got is x= -6 ; y= 8

Click here to see answer by lynnlo(4176) About Me 

Question 730594:
saidhari bought a toaster oven for $30. this price was 1/4 off the list price. what was the list price?

Click here to see answer by checkley79(3341) About Me 

Question 730592:
the ratio of men to women in a certain factory is 3 to 4. there are 222 men. how many workers are there?

Click here to see answer by checkley79(3341) About Me 

Question 730739: x-3y+3=0
I am supposed to put this into slope intercept form and then find three coordinates for (x,y). I THINK I am doing the math correctly, but I so far I have come up with THREE different solutions for (x,y). Also, when I go to graph this on my online homework, the answers are wrong. My tutor will not be here until five, and I really want to learn how to do this to the best of my ability so that my tutor and I can spend more time on the other things I am struggling with. Can you include the three correct points on a picture of a graph so I can see what it looks like? Any help is very much appreciated. Thank You.
Sincerely,
Tiff

Click here to see answer by richwmiller(17219) About Me 

Question 730677: how do yow write in y form ex: y-4x=6
Click here to see answer by richwmiller(17219) About Me 

Question 730821: Solve for h if 3f + 2.5h= 240. The answer in my math book says h= -3f+96/2.5 but my answer is h= -3f+96. Which is correct?
Thanks Alessia

Click here to see answer by checkley79(3341) About Me 

Question 730856: whats the equation of the line that passes through the given point and is parallel to the given equation. (7,4); 3x-8y=5
Click here to see answer by jim_thompson5910(35256) About Me 

Question 730901: Which hill would it be easiest to push a cart up,one with a slope of 1/2,1/6,3 or 5
Click here to see answer by Alan3354(69443) About Me 

Question 730936: How do I write in slope-intercept form for the line that satisfies the condition with a slope of +7%2F18+ and passes through (4,-20)
I've tried the point slope formula +y-y1=m%28x-x1%29 but I'm having trouble understanding how to plug-in and distribute the numbers.

Click here to see answer by stanbon(75887) About Me 
Question 730936: How do I write in slope-intercept form for the line that satisfies the condition with a slope of +7%2F18+ and passes through (4,-20)
I've tried the point slope formula +y-y1=m%28x-x1%29 but I'm having trouble understanding how to plug-in and distribute the numbers.

Click here to see answer by lwsshak3(11628) About Me 

Question 730957: 7-x=3(7x+4)
I need help solving this problem.

Click here to see answer by AshleyJo(1) About Me 

Question 731102: perpendicular to the line x - 2y = 8; containing the point (2,2)....
Click here to see answer by josmiceli(19441) About Me 

Question 731084: It is a multiple choice question: Which one of the following equations represents a line that is perpendicular to the line with equation
5x - 3y + 4 = 0
The options are:
1. 5x – 3y + 10 = 0
2. 10 + 5y= 3x
3. 5x = – 3y – 10
4. 3x + 5y + 10 = 0
5. 5x – 3y + 10 = 0
I think the slope of the given line is 5/3, so the slope of the perpendicular line will be -3/5, but how do I get to the perpendicular line's equation then?
I think the answer is 4, but not sure at all!

Click here to see answer by lynnlo(4176) About Me 

Question 731200: I NEED TO FIND THE X AND Y INTERCEPTS, WRITE THE EQUATION IN SLOPE INTERCEPT FORM,IDENTIFY THE SLOPE AND GRAPH THE LINE OF THE EQUATION FOR THE FOLLOWING: -8X + 10Y = 40 THANK YOU!

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

Question 731405: find the equation of the line though (-2, -6) perpendicular to the line y= (1/3)x + 4/3
Click here to see answer by josgarithmetic(39617) About Me 

Question 731471: A line perpendicular to 5x-2y=11 that goes through (4,7) using standard form
Click here to see answer by mananth(16946) About Me 

Question 731550: If (k, 4) is a point on the graph of the equation 4x + 2 y = 4, what is the value of k?



Click here to see answer by MathLover1(20849) About Me 

Question 731650: find the equation of the line in slope intercept form that is perpendicular to y=-1/2x+6 and passes through (3,-1).
I sort of understand how to do this, but I'm stuck. Any help with how you accomplished to answer this problem would highly appreciated! Thank you very much in advance! :)

Click here to see answer by josmiceli(19441) About Me 

Question 731661: find the equation of the line in slope intercept form that is parallel to y=6x and passes through (-2/3, 1)
Click here to see answer by mananth(16946) About Me 

Question 731701: find the equation of the line in slope intercept form that is perpendicular to y=-1/4x+3 and passes through (3/2, 5)
I understand that I must put this in point slope form... But I'm not very proficient when it comes to fractions...

Click here to see answer by mananth(16946) About Me 

Question 731754: write an equation for (-1,-7) and (-8,-2)
Click here to see answer by mananth(16946) 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