Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 971305: Can youi help me with this problem? I am trying to simplify this rational expression:
x^3-8/4-x^2

Click here to see answer by rothauserc(4718) About Me 

Question 971322: State the quadratic formula. Solve x2-6x-4=0 and make sure you use the quadratic formula to solve it.
Click here to see answer by Boreal(15235) About Me 

Question 971394: Write a quadratic equation and solve. The altitude of a triangle is 3cm less than its base. The area of the triangle is 90cm^2. Find the base and altitude.
Click here to see answer by macston(5194) About Me 
Question 971394: Write a quadratic equation and solve. The altitude of a triangle is 3cm less than its base. The area of the triangle is 90cm^2. Find the base and altitude.
Click here to see answer by josgarithmetic(39616) About Me 

Question 971392: Write a quadratic equation and solve. Oscar has a rectangular garden that measures 18m by 15m. Next year he wants to increase the area to 340m^2 by increasing the width and length by the same amount. What will be the dimensions of the garden next year?
Click here to see answer by josgarithmetic(39616) About Me 
Question 971392: Write a quadratic equation and solve. Oscar has a rectangular garden that measures 18m by 15m. Next year he wants to increase the area to 340m^2 by increasing the width and length by the same amount. What will be the dimensions of the garden next year?
Click here to see answer by MathTherapy(10551) About Me 

Question 971428: The cost of hiring a bus for an outing is $240 and this was to be shared by the x people. On. The day if excursion,4 people were unable to make it. The remaining people had to share the cost of the hiring of the bus instead, so that each person had to pay an extra $2.
Form an equation in x and solve it to find the amount that each person has to pay originally.

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

Question 971458:
Click here to see answer by Alan3354(69443) About Me 

Question 971493: Please help me solve this equation.
8x-x^2/x^2-12x+36

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

Question 971505: Can you help me multiply this quadratic equation?
121-x^2/x^2-22x+120 times x^2-24x+140/x^2-18x+77
Would I set up the 1st equation like this:
121-x^2/x^2-22x+120 =(11-x)(11-x)/(x-12)(x-10) or -(11-x)(11-x)/(x-12)(x-10)
After I did the equations but my answer differed from the answer key.
My answer was:
(x-11)(x-14)/(x-12)(x-7)
the answer key is:
(11+X)(X-14)/(X-12)(X-7)
what am I doing wrong?

Click here to see answer by Boreal(15235) About Me 
Question 971505: Can you help me multiply this quadratic equation?
121-x^2/x^2-22x+120 times x^2-24x+140/x^2-18x+77
Would I set up the 1st equation like this:
121-x^2/x^2-22x+120 =(11-x)(11-x)/(x-12)(x-10) or -(11-x)(11-x)/(x-12)(x-10)
After I did the equations but my answer differed from the answer key.
My answer was:
(x-11)(x-14)/(x-12)(x-7)
the answer key is:
(11+X)(X-14)/(X-12)(X-7)
what am I doing wrong?

Click here to see answer by stanbon(75887) About Me 
Question 971505: Can you help me multiply this quadratic equation?
121-x^2/x^2-22x+120 times x^2-24x+140/x^2-18x+77
Would I set up the 1st equation like this:
121-x^2/x^2-22x+120 =(11-x)(11-x)/(x-12)(x-10) or -(11-x)(11-x)/(x-12)(x-10)
After I did the equations but my answer differed from the answer key.
My answer was:
(x-11)(x-14)/(x-12)(x-7)
the answer key is:
(11+X)(X-14)/(X-12)(X-7)
what am I doing wrong?

Click here to see answer by josgarithmetic(39616) About Me 
Question 971505: Can you help me multiply this quadratic equation?
121-x^2/x^2-22x+120 times x^2-24x+140/x^2-18x+77
Would I set up the 1st equation like this:
121-x^2/x^2-22x+120 =(11-x)(11-x)/(x-12)(x-10) or -(11-x)(11-x)/(x-12)(x-10)
After I did the equations but my answer differed from the answer key.
My answer was:
(x-11)(x-14)/(x-12)(x-7)
the answer key is:
(11+X)(X-14)/(X-12)(X-7)
what am I doing wrong?

Click here to see answer by Theo(13342) About Me 

Question 971501: Thank you for your tutoring help. I have this equation I'm trying to simplify.
8x-x^2/ x^2-19x+88

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

Question 971559: Reduce the following equation into quadratic equation
t+2/t-2 - t-2/t+2=3/7

Click here to see answer by Boreal(15235) About Me 

Question 971596: Could someone please help me with this problem, because I need to turn x into a quadratic equation when a=1
X=4
I had solved and got the equation x%5E2%2B16x%2B16 because I originally decided to start with (x+4)(x+4), but as an answer for x%5E2%2B16x%2B16, I had some decimals, so I don't know which part I did wrong.

Click here to see answer by Theo(13342) About Me 

Question 971637: I need help on my project how do you find a quadratic formula that has one solution but the solution has to come out to be 10
Click here to see answer by josgarithmetic(39616) About Me 

Question 971728: I am dividing Rational expression by another rational expression and am getting stuck. Here is the situation:
the problem: x^2+3x-28/x^2-36 divided by x^2-13x+36/x^2+11x+30
After inverting the dividend, I followed the steps and ended up with
(x-7)(x-4)/(x-9)(x+4) times (x+6)(x+5)/(x-9)(x-4)
After cancelling out (x-4), I'm stuck.
The answer key has an answer of
(x-7)(x+5)/(x-6)(x-9) How did they get that answer if there is still (x+5) and (x+4) still in the equation?

Click here to see answer by Boreal(15235) About Me 
Question 971728: I am dividing Rational expression by another rational expression and am getting stuck. Here is the situation:
the problem: x^2+3x-28/x^2-36 divided by x^2-13x+36/x^2+11x+30
After inverting the dividend, I followed the steps and ended up with
(x-7)(x-4)/(x-9)(x+4) times (x+6)(x+5)/(x-9)(x-4)
After cancelling out (x-4), I'm stuck.
The answer key has an answer of
(x-7)(x+5)/(x-6)(x-9) How did they get that answer if there is still (x+5) and (x+4) still in the equation?

Click here to see answer by MathTherapy(10551) About Me 

Question 971724: I am working on dividing a rational expression with another rational expression and I am having issues. Here is the problem:
x^2+3x-28/x^2-36 divided by x^2-13x+36/x^2-11x+30
Now, I understand that I need to invert the divisor so now thw problem looks like this:
x^2+3x-28/x^2-36 divided by x^2-11x+30/x^2-13x+36
Now, after I've done the steps, I end up with:
(x+7)(x-4)/(x-9)(x+4)times (x-6)(x-5)/(x-9)(x-4)
Now i have the problem. The answer key has the answer as (x-7)(x-4)/(X-6)(X-9)
Since I already inverted the divisor earlier, how does the answer key show (x-6) as a denominator when its a numerator and Where's (x-5)? Im sorry for the long explanation. Help me please!

Click here to see answer by josgarithmetic(39616) About Me 
Question 971724: I am working on dividing a rational expression with another rational expression and I am having issues. Here is the problem:
x^2+3x-28/x^2-36 divided by x^2-13x+36/x^2-11x+30
Now, I understand that I need to invert the divisor so now thw problem looks like this:
x^2+3x-28/x^2-36 divided by x^2-11x+30/x^2-13x+36
Now, after I've done the steps, I end up with:
(x+7)(x-4)/(x-9)(x+4)times (x-6)(x-5)/(x-9)(x-4)
Now i have the problem. The answer key has the answer as (x-7)(x-4)/(X-6)(X-9)
Since I already inverted the divisor earlier, how does the answer key show (x-6) as a denominator when its a numerator and Where's (x-5)? Im sorry for the long explanation. Help me please!

Click here to see answer by MathTherapy(10551) About Me 

Question 971761: Determine the solutions for x^2 + x - 20 = 0
Click here to see answer by macston(5194) About Me 

Question 971862: I am adding rational expressions but have run into a snag. here is the expression, I hope you can help me.
x^2-16x-45/x^2-3x-18 + x^2-2x-27/x^2-3x-18
My snag is, I can't figure out how to factor the first numerator because I don"t see any terms that make the product -45 = to the sum of -16.
I hope I explained it right. Can you help me?

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

Question 971875: The length and breadth of a rectangular are (5X +3) and (3X-2)cm. Write down in terms of X,
(a) the perimeter
(b) area.
If the area of the rectangle is 230cmē,find the value of X and hence write down the perimeter of the rectangle.

Click here to see answer by Boreal(15235) About Me 
Question 971875: The length and breadth of a rectangular are (5X +3) and (3X-2)cm. Write down in terms of X,
(a) the perimeter
(b) area.
If the area of the rectangle is 230cmē,find the value of X and hence write down the perimeter of the rectangle.

Click here to see answer by anand429(138) About Me 

Question 971885: What are the solutions to the equation?
3x^2 + 3 = 7x

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

Question 971896: I am having trouble and are looking for your assistance. I am subtracting rational expressions and this problem has me tricked.
(x-6)(x+3)/x^2-2x-15 divided by 9(x-5)/x^2-2x-15
with the denominators the same, do I still have to invert the divisor?

Click here to see answer by josgarithmetic(39616) About Me 
Question 971896: I am having trouble and are looking for your assistance. I am subtracting rational expressions and this problem has me tricked.
(x-6)(x+3)/x^2-2x-15 divided by 9(x-5)/x^2-2x-15
with the denominators the same, do I still have to invert the divisor?

Click here to see answer by MathTherapy(10551) About Me 

Question 971897: I messed up and made my 1st question non-understandable. My sincerest apologies. please Let me try again. I am having an issue with this problem. I am subtracting rational expressions with the same denominators. Here is the problem:
(x-6)(x+3)/X^2-2x-15 minus 9(x-5)/x^2-2x-15
I have figured out that the denominator should be (x-5)(x+3) but I am having trouble with the numerator. could you help me?

Click here to see answer by josgarithmetic(39616) About Me 
Question 971897: I messed up and made my 1st question non-understandable. My sincerest apologies. please Let me try again. I am having an issue with this problem. I am subtracting rational expressions with the same denominators. Here is the problem:
(x-6)(x+3)/X^2-2x-15 minus 9(x-5)/x^2-2x-15
I have figured out that the denominator should be (x-5)(x+3) but I am having trouble with the numerator. could you help me?

Click here to see answer by MathTherapy(10551) About Me 

Question 971916: Kindly solve this quadratic equation :
15Xē-X -236=0

Click here to see answer by Boreal(15235) About Me 

Question 971921: The coin is a circle of 3cm with a square of X cm removed from its center.
1: Find an expression for the area of one side of the coin in terms of X and π.
2: Area of the one side of the coin is 7πcmē.
Find the area of the square by forming an equation in x.

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

Question 971938: If the graph of a function of the form y = ax^2 + c has a vertex located above the origin and opens downward, which of the following must be true about the values of a and c?
a. a < 0 and c > 0
b. a > 0 and c > 0
c. a < 0 and c < 0
c. a > 0 and c < 0

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

Question 971962: red bird starts his flight from point (10,0) and lands at point (38,0). Use the interprets to write the quadratic equation that describes red birds flight. we need to find the maximum height, Axis of Symmetry, and the distance travelled. I've already found the A.O.S. and distance travelled but still need to find the maximum height
Click here to see answer by josgarithmetic(39616) About Me 

Question 971968: Sir please tell me that
X-2/3=0
Can we write it as
X=+3/2

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

Question 971972: The cost of hiring a bus for an outing was $240 and this was to be shared equally by X people. On the day of the trip,4 people were unable to go. The remaining people had to share the cost of the hiring the bus instead, so that each person had to pay an extra $2.
Form an equation in x and solve it to find the amount that each person had to pay originally.

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

Question 971960: If the pupil in a class sends a New Year greeting cards to every classmate ,the total number of cards sent out will be 870. Find the number of pupils in the class.
Click here to see answer by checkley77(12844) About Me 

Question 972020: 5x^2+4x-5 i got for ax^2+bx+c=0,
A=5 b=4,c=-5

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

Question 972058: Fans can now have a better view of wolverine football, after the instillasion of 40% larger screens in Michigan stadium's end zones. Each screen covers 3995ft^2 of a new 6696 square foot scoreboard structure.
A) the screen in Michigan Stadium is a rectangle with length 9ft less than twice its width. Find the length and width of the screen.
B) the scoreboard structure is a rectangle with length 16ft less than twice its width. Find the length and width of the scoreboard.

Click here to see answer by Boreal(15235) About Me 

Question 972146: For the function f(x) = x3 + 3x2 – 70x – 144, f(–9) = 0, f(–2) = 0, and f(8) = 0. What are the solutions to the equation x3 + 3x2 = 70x + 144 = 0?
A)
x = –8, x = 2, and x = 9
B)
x = –9, x = –2, and x = 8
C)
x = –8, x = –2, and x = 9
D)
x = –9, x = –8, and x = –2

Click here to see answer by Edwin McCravy(20054) About Me 

Question 972079: may i ask how to get the quadratic equation?
Click here to see answer by Alan3354(69443) About Me 

Question 972199: Solve for x: a(x-b)^2 +c all over d


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

Question 972264: f(x)=x2-8x+13
Click here to see answer by Alan3354(69443) About Me 

Question 972368: I need to solve this quadratic formula. 2x^2+3x-5=0
Click here to see answer by MathLover1(20849) About Me 

Question 972297: find the x-intercepts of the graph of f(x)=4x^2-9x+4

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