Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 153754: solve by factoring quadratic equations?
3xsquare + 15=o

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

Question 153860: Can someone please help me. I need to write three equations that has to be turned in tomorrow and I stuck.
Write three quadratic equations, with a, b, and c (coefficients of x^2, x, and the constant) as:
1. Integers :
2. Rational numbers:
3. Irrational numbers:
This is what I got so far not sure if its right.
1. Integers:
x^2+3x-8=0
2. Rational numbers:
1/2x^2 + 4/5x -9/13=0
3Irrational numbers:
I don't know what to put here?
As you can see I am trying to write these equation, but I been out of school for 12 years and I not sure if what I have is right.
Please help me.
Thank you so much for your help.
Jimmy

Click here to see answer by stanbon(75887) About Me 
Question 153860: Can someone please help me. I need to write three equations that has to be turned in tomorrow and I stuck.
Write three quadratic equations, with a, b, and c (coefficients of x^2, x, and the constant) as:
1. Integers :
2. Rational numbers:
3. Irrational numbers:
This is what I got so far not sure if its right.
1. Integers:
x^2+3x-8=0
2. Rational numbers:
1/2x^2 + 4/5x -9/13=0
3Irrational numbers:
I don't know what to put here?
As you can see I am trying to write these equation, but I been out of school for 12 years and I not sure if what I have is right.
Please help me.
Thank you so much for your help.
Jimmy

Click here to see answer by vleith(2983) About Me 

Question 153850: write an equation to solve this problem. the service pool built a pool that was 100ft by 60ft wide. they want to built a sidewalk around the pool and had 450ft of fence. what is the maximum width that the sidewalk can be?
Click here to see answer by checkley77(12844) About Me 

Question 153816: write an equation to solve this problem.the service pool built a pool that was 100ft by 60ft wide. they want to built a sidewalk around the pool and had 450ft of fence. what is the maximum width that the sidewalk can be?
Click here to see answer by checkley77(12844) About Me 

Question 153815: the service pool built a pool that was 100ft by 60ft wide. they want to built a sidewalk around the pool and had 450ft of fence. what is the maximum width that the sidewalk can be?
Click here to see answer by checkley77(12844) About Me 

Question 153941: find the x and y intercepts f(x)=x^2-8x+2

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Question 153942: solve by completing the square
m^2-25/2m=5/2

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Question 153940: solve 6x+x(x-1)=0
find the x intercepts f(x)=6x+x(x-1)

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

Question 153988: Question: By increasing her usual speed by 25 kilometers per hour, a bus driver decreases the time on a 25 kilometer trip by 10 minutes. Find the usual speed.
If I set up the problem as:
25/x+25 = 25/x - 1/6
I get two seperate answers and it all depends on how I do the LCD.
the LCD which is 6x(x+25) and multiply that out I get
25(6x) = 6(x+25)(25) + x(x+25)
150x = 6x + 150 + 150 - x^2 - 25x combine like terms and I get
x^2 + 169x - 300 = 0
I can't seem to factor that one out.
the second problem:
25(6x) = 25(x+25)(6) - x(x+25)(x)
150x = 25x + 625 + 150 - x - 125 -x
150x = 23x + 650 + x^2
x^2 + 127x -650 = 0
What I am asking help on is if I even have a general idea of what to do. I am stuck at factoring them both out and unfortunatly this question is an even number so there is no solution in the manual or answer in the back of the book.
Thanks for any help :)

Click here to see answer by orca(409) About Me 

Question 154080: t2 - 6t = -5
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Question 154082: 2x2 - 7x +3 = 0
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Question 154078: Avoiding a Collison: A car is traveling on a road tht is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing.
Thank you

Click here to see answer by jojo14344(1513) About Me 

Question 154135: We are suppose to use the method that came from India to solve our problems, but I'm lost.
x^2-2x-13=0
x^2-2x-13+13=0
x^2-2x=13
4x^2-8x=52
4x^2-8x+4=52+4
4x^2-8x+4=56
the next step and there after I'm lost, could you please help me out

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

Question 154065: you have thrown a baseball straight upward from a height of about 6 feet. A friend has used a stop watch to record the time the ball is in hte air. If it takes approximately 6.5 seconds before the ball strikes the ground, explain how you can find the ball's initial velocity.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 154169: Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are its dimensions?
Click here to see answer by orca(409) About Me 

Question 154171: Can somebody please help me?
2. What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation "12x2 - 10x - 42 = 0".

Click here to see answer by jim_thompson5910(35256) About Me 

Question 154175: If x=1 and x= -8 then form a quadratic equation. Could you please give me some help with this, I thought I needed to know three things to make a quadratic equation so I am confused.
Click here to see answer by Alan3354(69443) About Me 

Question 154198: this is not in a text book
400(x-1)^2=225
this is what I have
400x^2-800x+175=0
my instructions are solve for x
x= -(-800) +/- sqrt[(-800)^2 - 4(400*175)]/2(400)
x= [800+/- sqrt(640000-280000)] / 800
x= (800 +/- sqrt 360,000) /800
x= (800 +/- 1.000000001)/800
is it right up to this point? where do we go from here?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 154113: What three techniques can be used to solve a quadratic equation? Demonstrate these techniques on the equation "12x^2 - 10x - 42 = 0".
Click here to see answer by Alan3354(69443) About Me 

Question 154261: An open box is to be constructed from a square piece of sheet metal by removing a square of side 6 feet from each corner and turning up the edges. If the box is hold to 864 cubic feet, what should be the dimensions of the sheet metal?
Click here to see answer by checkley77(12844) About Me 

Question 154336: Hi,
Can someone please help me with the following:
I have two equations that I need to solve using the quadratic equation but, I really having problems solving them.
1. 5/6x^2-7x-6/5=0

2. 3^1/2y^2-4y-7(3)^1/2=0
Thank you so much, I am sorry for being so much trouble but I been out of school for 15 years.
Jimmy

Click here to see answer by jim_thompson5910(35256) About Me 

Question 154331: The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)=-0.5x^2+14x+10, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day?
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Question 154368: how do you write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form.
ax^2+bx+c=0
Soution 8, only solution
x=8
x-8(x) Will I use the distributive law?
Thank you for your help!

Click here to see answer by jim_thompson5910(35256) About Me 
Question 154368: how do you write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form.
ax^2+bx+c=0
Soution 8, only solution
x=8
x-8(x) Will I use the distributive law?
Thank you for your help!

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

Question 154374: Hi,
I tried to solve the following problem and this is what I got can someone tell me if its right?
1. 3^1/2(y)^2-4y-(3)^1/2=0
Which is our graphical form 3^1/2y^2-4y-(7(3)^1/2=0


simplifies to 3/2y^2-4*y-21/2=0
Explanation:
Look at 3^1/2y^2-4y-(7(3)^1/2=0

Replace constants in factor: 3 ,1 with 3
It becomes 3/ 2*y^2 -4y 7*3^1/2=0

Look at 3/ 2*y^2 -4y 7*3^1/2=0.
Replace constants in factor: {3},1 with 3
It becomes: 3/2*y^2 -4y -7*3/2 =0
Look at: 3 /2*y^2 -4y -7*3/2 =0
Multiplied numerator integers 7*3 to get 21
It becomes 3 /2*y^2 -4y -21/2 =0
Result: 3 / 2*y^2 -4y -21/2=0
Again, I sorry for the trouble I am causing thank you so much for your help.
Jimmy

Click here to see answer by jim_thompson5910(35256) About Me 

Question 154390: How do I solve an equation by factoring, if the sum in a fraction?
EXAMPLE: 6x + 7 = 20/x

Click here to see answer by Alan3354(69443) About Me 
Question 154390: How do I solve an equation by factoring, if the sum in a fraction?
EXAMPLE: 6x + 7 = 20/x

Click here to see answer by scott8148(6628) About Me 
Question 154390: How do I solve an equation by factoring, if the sum in a fraction?
EXAMPLE: 6x + 7 = 20/x

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

Question 154433: A triangular sail has an area of x^2+5x+6 square meters and a height of x+3 meters. Find the length of the sail's base.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 154444: "why did quadratic equation called quadratic equation"
Click here to see answer by scott8148(6628) About Me 

Question 154436: 12 oz___g?
Click here to see answer by orca(409) About Me 

Question 154461: please help me solve this problem in quadratic equation;
1.a motorboat takes 4 hours to travel 30 miles downstream and then 18 miles upstream on a river whose current flows at the rate of 3 miles per hour. How fast can the boat travel in still water?

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

Question 154457: please help me solve this problem
1.a rectangular plot of ground is 120 yards long and 80 yards wide.To double the area of the plot, while rataining the rectangular shape, strips of equal width will be added at one end and along one sde. Find the width of the strip?

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

Question 154615: I don't understand how to solve this problem. X^2-6x=16. So far I have
X^2-6x+(6/2)^2=16
X^2-6x+36/4=16
I am unclear what to do after that so if you can help me, please.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 154463: please help me solve this problem in quadratic equation;
48.A rectangular plot of ground is 120 yards long and 80 yards wide.To double the area of the plot, while rataining the rectangular shape, strips of equal width will be added at one end and along one sde. Find the width of the strip?
49.A motorboat takes 4 hours to travel 30 miles downstream and then 18 miles upstream on a river whose current flows at the rate of 3 miles per hour. How fast can the boat travel in still water?
50.The floor of a basement game room is covered by 480 square asphalt tiles of a certain size. if 3 inches were added to the length of a side of each tile, the floor could be covered by 270 tiles. find the length of a side of the tile on the floor?

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

Question 154705: Please help me to graph this equation. I am confused as to how to convert Intercept form into Standard form and then graphing.
y=-(x+2)(x-1)

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Question 154767: I just wanted to make sure that
(n-4)^2 = 25
is (1, 9)
or did I do this wrong.

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Question 154774: Find the perfect square trinomial whose first two terms are q^2 + 3q.
My answer is
q^2 + 3q + (9/4)
I did the "complete the square method" (1/2 x 3)^2 and got (3/2)^2 and finally 9/4. Is this correct?

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Question 154781: how would I solve
sqrt -x +7 = x-1=6x

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Question 154789: I am trying to solve p2 – 15p = –54
but I am not getting the answers provided.
I used the quadratic equation
-b +- (sqrt) b^2 - 4ac / 2a
-(-15) +- (sqrt) (-15)^2 - 4(1)(54)
15 +- (sqrt) 225-216 / 2
15 +- 9 / 2
X = 12 X = 3
what did I do wrong?

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

Question 154786: Im having trouble with the following question.
Use the discriminant to determine whether the given quadratic polynomial can be factored, then factor it if it is not prime. Match your result to the correct answer below.
–8x2 – 3x – 5
1)(–8x – 5)(x – 3)
2)(x – 3)(x – 5)
3)(–8x – 3)(x – 5)
4)The expression is prime.

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

Question 154865: Please help me:
Write 3 quadratic equations with a,b,c (coefficient of x^2, x, and the constant) as
1. integers
2. rational #
3. irrational #
These are my answers, am I close?
1. 2x^2+6x-10=0
2. 1/4x^2+ 1/3x= -6/7=0
3. (sq2) x ^ 2 - (sq3)x + (sq5) = 0

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

Question 154861: Please help me:
1. How many solutions exist for a quadratic equation? How do we detemine whether the solutions are real or complex?

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Question 154861: Please help me:
1. How many solutions exist for a quadratic equation? How do we detemine whether the solutions are real or complex?

Click here to see answer by Earlsdon(6294) 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