Questions on Algebra: Equations answered by real tutors!

Tutors Answer Your Questions about Equations (FREE)

Question 1078483: The question says
1,672 divided by n = 1.672
so n equals 1.000
Is that correct?
Thank you
Click here to see answer by josgarithmetic(39617)

Question 1078484: 23 divided by 100 = n
I got 4 with a remainder of 3
Is that correct?
Thank you
Click here to see answer by josgarithmetic(39617)

Question 1078497: Please help me solve this equation
Let f(x) = 2x^2 − 8x − 7.
(a) Write the quadratic in vertex form (that is y = a(x − h)^2 + k for some constants a, h, and k).
(b) Calculate the roots of the function f.
(c) Sketch the graph of f, showing all important features. (Vertex, roots, y intercept.)
(d) Solve f(x) > 0.
Click here to see answer by josgarithmetic(39617)

Question 1078502: Divide rs 287 among 3 boys and 5 girls such that each girl gets half o what a boy gets.so each boy will get rs?
Click here to see answer by Theo(13342)

Question 1078498: Please help me solve this :
Kepler�s Third Law of planetary motion states that the square of the period T, in years, of a planet (the time taken for a complete revolution around the sun) is proportional to the cube of its average distance d, in millions of km, from the sun.
(a) Express Kepler�s Third Law as an equation.
(b) Find the constant of proportionality. Note that the average distance the Earth is from the
sun is 150 million kilometers, according to Wikipedia. You will also need some of your Earth
knowledge.
(c) Neptune is approximately 30 times as far away from the sun as Earth. Does your answer
correspond with the value from other sources?
(d) Suppose in another galaxy, planet X is a certain average distance away from its Sun. Another
planet, Y , is twice the average distance away from the sun as X. In percentage terms, what
is the period of planet Y in relation to planet X? (You may assume that Kepler�s law applies
not only in our own galaxy.)
Click here to see answer by rothauserc(4718)

Question 1078501: Please help me solve this equation:
1. Determine dy/dx for y = x√x(5x^2 − 3)^4
(There is no need to simplify the answer.)
2. For the curve defined by the equation x^2 − xy + y^2 = 3
(a) Show that
dy/dx =2x − y/x − 2y
(b) Find the equation of the normal to the curve at the point (−1, 1).
Click here to see answer by Fombitz(32388)

Question 1078578: What is the slope for the line tangent to the circle x^2 + y^2 = 8 at the point (2, -2)?
Click here to see answer by ikleyn(52781)

Question 1078578: What is the slope for the line tangent to the circle x^2 + y^2 = 8 at the point (2, -2)?
Click here to see answer by Boreal(15235)

Question 1078578: What is the slope for the line tangent to the circle x^2 + y^2 = 8 at the point (2, -2)?
Click here to see answer by josmiceli(19441)

Question 1078577: What is the directrix of the parabola described by this equation?

y � 7 = (1/20)(x + 3)^2
Click here to see answer by josgarithmetic(39617)

Question 1078576: What is the location of the vertex of the parabola described by this equation?

x + 2 = 14(y + 2)^2
Click here to see answer by Boreal(15235)

Question 1078576: What is the location of the vertex of the parabola described by this equation?

x + 2 = 14(y + 2)^2
Click here to see answer by MathTherapy(10552)

Question 1078651: 3x-y=11

Click here to see answer by Alan3354(69443)

Question 1078728: Solve the system of equations by using the elimination method.
{9x^2+5y^2 = 45
{6y^2 − 27x^2=54
(3, 0), (-3, 0)
(3, 0), (0, -3)
(0, 3), (-3, 0)
(0, 3), (0, -3)

Click here to see answer by ikleyn(52781)

Question 1078751: If f(x)=x^2+1, find f(x+1)
Click here to see answer by Boreal(15235)

Question 1078729: Use the distance formula to find the equation of a parabola with a focus at (0, -10) and a directrix as y = 10.
y = (1/40)x^2
y = x^2 + (1/40)
y = 40x^2
y = x^2 + 40

Click here to see answer by Boreal(15235)

Question 1078733: Use the distance formula to find the equation of a parabola with a focus at (0, 20) and a directrix at the x-axis, y = -10.
y = (1/30)x^2 + 10
y = (1/60)x^2 + 5
y = (1/60)x^2 + 10
y = (1/30)x^2 + 5

Click here to see answer by Boreal(15235)

Question 1078773: Write an equation in standard form of the line passing through the points (5,3) and (-3,5)
Click here to see answer by josgarithmetic(39617)

Question 1078773: Write an equation in standard form of the line passing through the points (5,3) and (-3,5)
Click here to see answer by Boreal(15235)

Question 1078731: Solve the system of equations by using the substitution method.
{x + y = −1
{x^2 + y^2=25
(-4, 3), (4, -3)
(-4, -4), (3, 3)
(-4, 3), (3, -4)
(4, 3), (3, 4)

Click here to see answer by Boreal(15235)

Question 1078619: If (a_1,a_2,..a_17) satisfy
a_1 + a_2 + a_3 = 1,
a_2 + a_3 + a_4 = 2,
a_3 + a_4 + a_5 = 3,
a_{15} + a_{16} + a_{17} = 15,
a_{16} + a_{17} + a_{1} = 16,
a_{17} + a_{1} + a_{2} = 17,

what is the value of a_{17}?
what is the value of $a_{17}$?
Click here to see answer by ikleyn(52781)

Question 1078800: What is the equation of the line passing through (-3,2) with
y-intercept two thirds of the x-intercept.
Click here to see answer by Edwin McCravy(20055)

Question 1078806: Find all the values of n such that x^2 + bx + (b/2)^2 = n has two real roots. Thank you tutors.
Click here to see answer by Edwin McCravy(20055)

Question 1078952: For the last five fays the average temperature was 63F. If the temperature for the first four days were 56'f,60'f,79'f,70'f what was the temperature for the fifth day? Can you show me how to solve that. Pls. Thank you
Click here to see answer by stanbon(75887)

Question 1078950: There are six items total. You are to select three of them at random, putting them in a specific order. In other words, order matters. It is a permutation question. How many different arrangements of 3 can be made this way?
Click here to see answer by stanbon(75887)

Question 1078974: One man leaves New York for Boston, and travels 9 miles an hour; another man leaves Boston for New York, and travels 7 miles an hour. In how many hours will they meet, the cities being 224 miles apart?
Click here to see answer by josgarithmetic(39617)

Question 1078972: A boy bought 2 oranges, 3 pears and 4 apples, for 22 cents. He gave as much for a pear as for 2 apples; and twice as much for an orange, as for a pear and an Apple. What was the price of each?
Click here to see answer by josgarithmetic(39617)

Question 1079036: Solve for x,2^x-6x=2
Click here to see answer by Alan3354(69443)

Question 1079050: What does this equation represent? How are equations (a) & (b) equivalent?
(a) y = a(x - h)2 + k, a ≠ 0
(b) (x - h)2 = 4p(y - k), p ≠ 0

Click here to see answer by Boreal(15235)

Question 1079044: Please help me solve this
Consider the function f(x) = x^3 + px + q.
(a) Determine the values of p and q if f(x) has a stationary point at (−2,3).
(b) Show, using calculus, that there is a second stationary point at (2,−29), and classify both
stationary points.
(c) Determine f′′(x) and hence show that there is a non-stationary point of inflection and determine its coordinates.
(d) For what values of k would the equation f(x) = k have 3 distinct solutions. Give reasons for your answer.
(Hint: Sketch the graph of y = f(x).)
Click here to see answer by rothauserc(4718)

Question 1079057: Consider the measure of two angles: 1 degree and 1 radian
Determine whether they are different or equal? Explain by comparing the two concepts.
Click here to see answer by Boreal(15235)

Question 1079041: Please help me solve this
Consider the function f(x) = x3 + px + q.
(a) Determine the values of p and q if f(x) has a stationary point at (−2,3).
(b) Show, using calculus, that there is a second stationary point at (2,−29), and classify both
stationary points.
(c) Determine f′′(x) and hence show that there is a non-stationary point of inflection and determine its coordinates.
(d) For what values of k would the equation f(x) = k have 3 distinct solutions. Give reasons for your answer.
(Hint: Sketch the graph of y = f(x)
Click here to see answer by Boreal(15235)

Question 1079074: What's this equation represent?
(x - h)2 = 4p(y - k), p ≠ 0
Click here to see answer by Fombitz(32388)

Question 1079074: What's this equation represent?
(x - h)2 = 4p(y - k), p ≠ 0
Click here to see answer by MathTherapy(10552)

Question 1079068: I am so confused about f(x) I am sure I am over thinking but I am having trouble grasping this word problem.
A small bicycle manufacturer has daily fixed costs of $1952 and each bicycle costs $72 to manufacture. Let x represent the number of bicycles manufactured and (f)x represents the cost of manufacturing
Write a linear function that models this situation.
If f(5)
Find f(5).
Interpret your answer in the context of this problem.
f(5).
This means that the cost of manufacturing
how many bicycles in a day is
.
(f) Find the value of x if f(x)equals 2888
This means that the cost of manufacturing __________

bicycles in a day is _____________
.

Click here to see answer by Boreal(15235)

Question 1079016: complete the table of values for y=1/2x-1

Click here to see answer by Fombitz(32388)

Question 1079116: The length of a rectangular field is 75 yd. this is 3 yd more than twice the width. How wide is the field
Click here to see answer by Alan3354(69443)

Question 1079125: There are 52 cards in a standard deck of playing cards. Half are black and half are red. What is the probability of choosing a red card first, keeping it, and then choosing a black card?
Click here to see answer by Alan3354(69443)

Question 1079143: Two number cubes, a red one and a blue one, are rolled. What is the probability that the red cube will be an odd number while the sum of the two dice is an even number?

https://cdstools.flipswitch.com/asset/media/216015
Click here to see answer by Boreal(15235)

Question 1079151: What does this parabola represent?
()(), p ≠ 0
Click here to see answer by Boreal(15235)

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, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580