Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 251880: x^3=4x
Click here to see answer by nyc_function(2741)

Question 251936: Addition and Subtraction of Rational Numbers. Perform the indicated operation. Reduce each answer to lowest terms
4/9-1/9
Click here to see answer by checkley77(12844)

Question 251852: In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research).
a. Suppose that a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month�s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)).
A company�s revenue is the amount of money that comes in from sales, before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation, p.
b. Substitute the result you found from part a into the equation R = xp to find the revenue equation. Provide your answer in simplified form.
The costs of doing business for a company can be found by adding fixed costs, such as rent, insurance, and wages, and variable costs, which are the costs to purchase the product you are selling. The portion of the company�s fixed costs allotted to this product is $300, and the supplier�s cost for a set of tile is $6 each. Let x represent the number of tile sets.

c. If b represents a fixed cost, what value would represent b?
d. Find the cost equation for the tile. Write your answer in the form C = mx + b.
The profit made from the sale of tiles is found by subtracting the costs from the revenue.
e. Find the Profit Equation by substituting your equations for R and C in the equation . Simplify the equation.

f. What is the profit made from selling 20 tile sets per month?
g. What is the profit made from selling 25 tile sets each month?
h. What is the profit made from selling no tile sets each month?
i. Use trial and error to find the quantity of tile sets per month that yields the highest profit.
j. How much profit would you earn from the number you found in part i?
k. What price would you sell the tile sets at to realize this profit (hint, use the demand equation from part a)?

Click here to see answer by stanbon(75887)

Question 251966: I have to find the LCD for the given rational expression and convert each rational expression into an equivalent rational expression with the LCD as the denominator.
4b/75a and 6/105ab
I know that 5 and 15 go into each of the denominators but I cannot seem to get the common denominator if I multiply each denominator by 5 or 15.

Click here to see answer by richwmiller(17219)

Question 251968: I have to solve for 'z'
z/(z-2) - 1/(z+5) = 7/z^2+3z-10
Now I know that I have to find the common denominator which would be z^2+3z-10, now my question is do I multiply the first denominator by z+3z+5 and the second one by z+3z-2
If I did that I would have z/z^2+3z-10 - 1/z^2++3z-10 = 7/z^2+3z-10
z/z^2+3z - 1/z^2+3z-10 = 7/z^2+3z-10
Am I doing this correctly, or did I get lost?
Click here to see answer by richwmiller(17219)

Question 251298: Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.
A diver jumps from a 48 foot cliff into the ocean below with an initial velocity of 8 ft/sec. The height of the diver from the ocean after t sec is given by h = -16t2 + 8t + 48. When does the diver hit the water?
Click here to see answer by ankor@dixie-net.com(22740)

Question 251963: how do you solve this problem?
__8_ = 2
2x-4 = x
Click here to see answer by richwmiller(17219)

Question 251963: how do you solve this problem?
__8_ = 2
2x-4 = x
Click here to see answer by stanbon(75887)

Question 251963: how do you solve this problem?
__8_ = 2
2x-4 = x
Click here to see answer by solver91311(24713)

Question 251984: Perform the indicated operation. Reduce each answer to lowest terms
a+7/a-4+9-5a/a-4
Click here to see answer by hitokiri15(3)

Question 251984: Perform the indicated operation. Reduce each answer to lowest terms
a+7/a-4+9-5a/a-4
Click here to see answer by palanisamy(496)

Question 251448: x-7 x^2-3x-28
____ - _________
(x+4)^2 (x-7)^2
Click here to see answer by nyc_function(2741)

Question 252041: Find all possible integer values of k that make both x^2 + kx + 20 and
x^2+ kx - 28 factorable over the integers
Click here to see answer by jsmallt9(3758)

Question 252035: Find the sum of the solutions of the equation
(3x - 8/x)^2 - 7(3x - 8/x)^2 +10 = 0

Click here to see answer by stanbon(75887)

Question 251458: (6v^2/(5v^2-10v-15))*(5v-15)/2v
Click here to see answer by PRMath(133)

Question 252123: Determine the value of k so that x^2 �3x � 4k divides x^3 �37x �12k
Click here to see answer by drk(1908)

Question 252123: Determine the value of k so that x^2 �3x � 4k divides x^3 �37x �12k
Click here to see answer by edjones(8007)

Question 252147: Show that 2x^2-12x+23 is equal to 2(x+3)^2+5
Click here to see answer by jim_thompson5910(35256)

Question 249902: x^3+6x^2+7x+42
Click here to see answer by Alan3354(69443)

Question 249902: x^3+6x^2+7x+42
Click here to see answer by jim_thompson5910(35256)

Question 252154: x
Click here to see answer by dabanfield(803)

Question 252198: Profit is determined by P=-45x^3+2500x^2-275000, x is between 0 and 50. Find the smaller x yielding profit of 80000.
Click here to see answer by drk(1908)

Question 251170: Very stumped on how to do this problem... any help would be greatly appreciated!!
In a right triangle, find the length not given.
b = 2
c = root13
a = ?
Thank you so much!!!!!
Click here to see answer by nyc_function(2741)

Question 251137: x^2+15x=0 use the zero principle

Click here to see answer by nyc_function(2741)

Question 251133: 1)3+4k
2)r4-s3+6
3)4/5 x2y

Click here to see answer by nyc_function(2741)

Question 252211: u^2-2uv-63v^2
----------------
x^2+2xy-24y^2
----------------
u^2-2uv-8v^2
----------------
u^2-2uv-8v^2
----------------
u^2-3uv-40v^2
----------------
x^2+50x+625
----------------
x^2-8xy+16y^2
Click here to see answer by jim_thompson5910(35256)

Question 252215: Find all real values of x for which the functionsare equal. Give your answers to the nearest hundredth.

p(x)=x^2-2x+1,Q(x)=-x^3+3x^2-3x+3

P(x)=x^4-5x^2+4,Q(x)=2
Click here to see answer by drk(1908)

Question 252289: (8x^5-x^2+10-2x^3)/(x^2-3) = 8x^3+ 22x-1+ (66x+7)/(x^2-3)
I�m not sure with my answer. Could you help me find the correct one? My tentative answer is included here.
Thank you very much!

Click here to see answer by Alan3354(69443)

Question 252311: If ac + bd = 19 and ad −bc = 94 ,
determine the value of (a^2 + b^2 )( c^2 + d^2 ).
Click here to see answer by palanisamy(496)

Question 252309: The equation 2x^4 − 3x^3 − 14 x^2 − 22x − 8 = 0 has two real and two complex
solutions. What is the product of the two complex solutions?
Click here to see answer by drk(1908)

Question 252308: One root of mx^2 −10x + 3 = 0 is 2/3 of the other root. What is the sum of the roots?
Click here to see answer by drk(1908)

Question 252307: Determine the missing term for this quadratic equation so that it will have only
one solution.
9x^2 − 24x + ? = 0
Click here to see answer by drk(1908)

Question 250840: Just a random question: "The difference of two positive numbers is 5 and the sum of their squares is 233. What are the numbers?"
Click here to see answer by gagvin(2)

Question 251854: 2. The break even values for a profit model are the values for which you earn $0 in profit. Use the equation you created in question one to solve P = 0, and find your break even values.
3. In 2002, Home Depot�s sales amounted to $58,200,000,000. In 2006, its sales were $90,800,000,000.
a. Write Home Depot�s 2002 sales and 2006 sales in scientific notation.
You can find the percent of growth in Home Depot�s sales from 2002 to 2006, follow these steps:
� Find the increase in sales from 2002 to 2006.
� Find what percent that increase is of the 2002 sales.
b. What was the percent growth in Home Depot�s sales from 2002 to 2006? Do all your work by using scientific notation.

4. A customer wants to make a teepee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the teepee, and he wants the teepee to be 12 feet across and 8 feet tall (see figure). How long should the pieces of PVC plumbing pipe be?

Click here to see answer by richwmiller(17219)

Question 249727: Given the values of x and y, find an equation of variation in which y varies directly as x. y=8, when x=5.
Click here to see answer by Alan3354(69443)

Question 252433: which of the following is a factor of 15y^2 -81y + 30 ?
a y+5 b 5y-2 c 5y+2 d 5y-6 e 5y+6
Click here to see answer by palanisamy(496)

Question 252443: i call my favorite polynomial p(x). when p(x) is divided by x-2 , the quotient is
3x^2 - x - 5 and the remainder is -1 determine p(-1)
a -22 b -4 c -1 d 0 e 2
Click here to see answer by stanbon(75887)

Question 252453: Factor completely over the set of REAL numbers: x^4-x^3-5x^2+3x+6.
Click here to see answer by drk(1908)

Question 251074: I am confused about this problems.
Multiply.
(x^2)�(x^2+6x+9)/(x^2 9) (16x^3)
Divide.
(3y+12)�(9y+36)/(8y^3)(16y^3)
Perform the indicated operation. When no operation is indicated, simplify the ratinal expression completely.
(10m^4)�/(9a^2) (3a^2b)
(3x^2-5x)/(18x-30)
Thank you in advance
Click here to see answer by drk(1908)

Question 250839: This is a simple algebra question: "Find the dimensions of a rectangle whose perimeter is 42 m and whose area is 104 m (squared)."
Click here to see answer by drk(1908)

Question 250838: I am asking this question to compare it with another question: "The length of a rectangle is 6 cm less than twice its width. Find the dimensions of the rectangle if its area is 108 cm (squared)."
Click here to see answer by drk(1908)

Question 250866: perform the indicated operation simplify
2x/4x+2 divided by 6x+3/5
Click here to see answer by drk(1908)

Question 250875: perform operation simplify
(x-3)^3
Click here to see answer by morganjd(5)

Question 250870: perform operation, simplify
(x^3+3xy-8y^2)-(6x^3+8xy+y^2)
Click here to see answer by morganjd(5)

Question 252543: I'm really bad at word problems. This one i am lost and i don't get.
Find 3 consecutive even numbers where the product of the smaller two numbers is 64 less than of the square of the largest number.
I would greatly appreciate the help and in advance saying thank you very much!
Click here to see answer by Edwin McCravy(20054)

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, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105