Questions on Algebra: Equations answered by real tutors!

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Question 929734: Is the equation in direct variation? If not, explain why. If so, what is the constant of variation?
y = 2x + 5

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

Question 929799: Find the equation of the line that is parallel to the y-axis and passes through the point with coordinated (4,7)
Click here to see answer by rothauserc(4718) About Me 

Question 929787: The weight of a group of women has a population mean, u, of 121 pounds, and a population standard deviation, o, of 16 pounds. The distribution is right-skewed. Suppose a random sample is taken of 100 of these women's weights.
The expected mean weight is about 121 pounds because the sample is an unbiased estimator of the population mean.
The actual sample will not be exactly the value determined above. The amount it typically differs from this value is given by the standard error. What is the standard error for a sample mean taken from this population in pounds?
Thank you!!

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

Question 929853: 3a/7 + 2/3 =7/9
Click here to see answer by stanbon(75887) About Me 
Question 929853: 3a/7 + 2/3 =7/9
Click here to see answer by Fombitz(32388) About Me 

Question 929848: 2/5 of a number and the 1/4 of the number the sum is 13,what is the number?

Click here to see answer by Fombitz(32388) About Me 
Question 929848: 2/5 of a number and the 1/4 of the number the sum is 13,what is the number?

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

Question 929846: the sum of two numbers is 9 and their difference is 6,what are the numbers?

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

Question 929818: 4(Y + 1) = 3 / 1-Y
Click here to see answer by Fombitz(32388) About Me 

Question 929593: solve equation: x^4+9x^2=-20
Click here to see answer by Fombitz(32388) About Me 

Question 929892: 8! / (3!(8-3)!)
what does the "!" mean. Please show me the steps to solve this. I know the answer is 56, but Im having trouble understanding the process

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

Question 930067: A movie rental costs $3 per day. A video game rental costs $4 per day. Write an algebraic expression that represents the total cost of renting m movies and v video games per day.

Click here to see answer by algebrahouse.com(1659) About Me 

Question 930065: Translate the verbal phrase into an algebraic expression. Simplify the expression.
The sum of 6 and x added to the sum of x and −8

Click here to see answer by ewatrrr(24785) About Me 

Question 930170: the area of a rectangle is 1/2 square inch. the length of a rectangle is 3/8 inch. what is the width of a rectangle?
Click here to see answer by TimothyLamb(4379) About Me 
Question 930170: the area of a rectangle is 1/2 square inch. the length of a rectangle is 3/8 inch. what is the width of a rectangle?
Click here to see answer by EdenWolf(517) About Me 

Question 930300: the solution x-3= x+2 is ;

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

Question 930271: A random sample of 16 female college-aged dancers showed a sample mean height 64.8 of inches and a sample standard deviation of 1.7 inches.
1.Find a 95% confidence interval for the population mean height of dancers and interpret the interval.
2. Find a 99% confidence interval for the population mean height and interpret the interval.
3. Which interval is wider and why?
Thank you!!

Click here to see answer by ewatrrr(24785) About Me 

Question 930255: When 1/5 of the boys left, there were still b boys and g girls who stayed to see
the end of the program. What was the total number of boys and girls at the beginning of the program?

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

Question 930370: Which system of equations below has infinitely many solutions?
y = –3x + 4 and y = –3x – 4
y = –3x + 4 and 3y = –9x + 12
y = –3x + 4 and y = –6x + 8

Click here to see answer by TimothyLamb(4379) About Me 

Question 930417: Hello im stuck on this one problem that says to use the following values to write an equation that relates to x and y
y=20 and x=12 Im thinking that I have to devide in some way but I dont know how plz help.

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

Question 930507: A board, 44 cm long is cut into three pieces such that the second piece is twice as long as the first and the third is 4 cm longer than the second.
Find the length of the shorter piece.

Click here to see answer by algebrahouse.com(1659) About Me 

Question 930561: 3^5x+2/9^1-x=27^4+3x/729

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

Question 930637: An exhaustive cataloging of all hardbound books at a college library revealed that the mean age was 42.6 years, with a standard deviation of 17.9 years. Recently, the librarian commissioned a study to determine the condition of the books. A random sample of 500 books was assembled, and the mean age of this collection was found to be 58.2 years, with a standard deviation of 17.7 years.
A. Which of these numerical values are parameters?
A. 58.2 years
B. 42.6 years
C. 17.9 years
D. 17.7 years
B. Which of these numerical values are statistics?
A. 42.6 years
B. 17.7 years
C. 17.9 years
D. 58.2 years.
thank you!

Click here to see answer by ewatrrr(24785) About Me 

Question 930683: Please help me solve this I would also love to know how to do it so an explanation would be great. Here is the problem: 2x-5(-x/4+2)=29
Click here to see answer by stanbon(75887) About Me 
Question 930683: Please help me solve this I would also love to know how to do it so an explanation would be great. Here is the problem: 2x-5(-x/4+2)=29
Click here to see answer by MathTherapy(10551) About Me 

Question 930694: each statement illustrates the use of one of the following properties or definitions. Indicate which one.


Commutative (+)
Commutative (*)
Associative (+)
Associative (*)
Distributive
Identity (+)
Identity (*)
Inverse (+)
Inverse (*)
Subtraction
Division
Negatives (Theorem 1)
Zero (Theorem 2)


ab(c + d) = abc + abd

Click here to see answer by amariya(8) About Me 

Question 930761: please help me solve this problem:the sum of 3 consecutive multiples of 8 is 96.find the multiples.
Click here to see answer by Alan3354(69443) About Me 

Question 930831: A random sample of 40 students taking statistics at a community college was asked for their GPA. The sample mean was 3.03 and the margin of error for a 95% confidence interval was 0.16.
A. Choose the correct interpretation of the confidence interval below.
A. We are 95% confident that the population mean GPA of statistics students at the school is between what and what?
B. We are 95% confident that the recorded sample mean GPA of statistics students at the school is between what and what?
C. We are 95% confident that the population mean GPA for all of the students students at the school is between what and what?
B. What does the interval tell us about the population mean GPA for statistics students at the school. Can you reject 3.45 as the mean for statistics students?
Thank you

Click here to see answer by ewatrrr(24785) About Me 

Question 931031: Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle.
+x%5E2%2By%5E2%2B8x-14y%2B10=9+

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

Question 931059: What's the x and y intercept of y= 18-4/10x
Click here to see answer by MathLover1(20849) About Me 

Question 931210: Please help me solve this equation:
Solve the system of equations.
X - Y + 2z = -3
X + 2y + 3z = 4
2x + y + z = -3


Thank you for your time I really appreciated

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

Question 931208: Please help me solve this equation:
Solve the system of equations using Gaussian elimination or Gauss - Jordan elimination.
3x + 2y=6
2x -3y = -9
Thank you for your time I really appreciated

Click here to see answer by rothauserc(4718) About Me 
Question 931208: Please help me solve this equation:
Solve the system of equations using Gaussian elimination or Gauss - Jordan elimination.
3x + 2y=6
2x -3y = -9
Thank you for your time I really appreciated

Click here to see answer by ewatrrr(24785) About Me 

Question 931220: Please help me solve this equation:
Solve using the elimination method. Also determine whether each system is consistent or inconsistent and whether the equations are dependent or independent.
3x-12y=6
2x-8y=4


Thank you for your time I really appreciated

Click here to see answer by TimothyLamb(4379) About Me 

Question 931216: Please help me solve this equation:
Solve using Cramer's rule.
3x+2y+2z=1
5x-y-6z=3
2x+3y+3z=4


Thank you for your time I really appreciated

Click here to see answer by TimothyLamb(4379) About Me 

Question 931307: I can't find the right category to put this in but can someone help me?
Definition :
a segment that joins the midpoints of two sides of the triangle
which one of these would it be?
a . mid segment of a triangle , b. equidistant? c. leg of a triangle? d. hypotenuse? e. centroid of a triangle? f. median of a triangle? g. altitude of a triangle? thank you.

Click here to see answer by richard1234(7193) About Me 

Question 931401: the sum of a and 5 is 13
I have to write the verbal sentence as an equation

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

Question 931505: a-8/ 12 = 2a +5/3
The whole part 8-12 is divided by 12 and the whole part 2a +5 is divided by 3. Dont you cross multiply to get
a-8 = 8a + 20 .4
then what?

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

Question 931582: Express in the form 2^(n): 2^(100) - 2^(99)
The answer given is: 2^(99)
Please could you explain how to get to this answer?

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

Question 931554: how to solve 6x - (5x + 8)= -4
Click here to see answer by Fombitz(32388) About Me 

Question 931666: -5^2+4(-3)-4(2^3-3^2)
Click here to see answer by ewatrrr(24785) About Me 

Question 931699: the equation of a line is 12y+7x=-4 what is the value of x if y is -11
Click here to see answer by MathLover1(20849) About Me 

Question 931672: 2x(x-5)+5(x-5)
Click here to see answer by Fombitz(32388) About Me 

Question 931759: Solve the equation:
4/x+2=12/x

Click here to see answer by TimothyLamb(4379) About Me 

Question 931762: solve the equation:
2/t = t/3t - 4

Click here to see answer by TimothyLamb(4379) 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, 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