Questions on Algebra: Equations answered by real tutors!

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Question 1168362: LITERAL EQUATIONS:
how would you solve m = 2/5y + n, for y? thank you.
Click here to see answer by josgarithmetic(39616)

Question 1168356: Solve and rewrite the equation in function notation:
x-6y=24

Click here to see answer by josgarithmetic(39616)

Question 1168402: Can i get help solving:
y = 10-4 sin t/5
midline y:_____?
amplitude: ______?
Click here to see answer by ikleyn(52776)

Question 1168480: Hello again. This is my second question.
I do not know the steps to take in solving, 3x + y = 9
Can you help me?
Click here to see answer by josgarithmetic(39616)

Question 1168492: This system of equations:
-x - 4y = -8 and x + 4y = 8.
After this question is solved, I am asked to choose one of these description of its solution of its solution.
"No solution"; "Unique solution"; "Infinite Solution".
The fifth question is, 6x + 9 *3/ 7 = -3

Please help me. I have now used the five questions allowed.
I have an exam today concerning these type of problems.
Click here to see answer by josgarithmetic(39616)

Question 1168557: A book sold
Click here to see answer by ikleyn(52776)

Question 1168555: (a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs. If the elevator operator weighs 205 lbs and has to move hundreds of boxes from the ground floor to the Penthouse, if each box weighs 65 lbs, what is the maximum number of boxes that can be safely conveyed on the elevator on each trip?

(b) The borough of Pan Sherzando charges homeowners $75.24 per month plus $3.86 per 1000 litres for water usage in excess of 10,000 litres. In 2019 one homeowner’s monthly bill ranged from $137.00 to $245.08. Find the range for the water used by that homeowner.

(c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by agreement, contain a rectangular border of uniform width and must be exactly 120 sq meters in area.
(i) How wide should the border be? Round to the nearest tenth of a metre. (ii) If physical planning laws require at least a 2-metre-wide border around a pool, would the contractor be able to satify both the client and the planning regulators?

Click here to see answer by ikleyn(52776)

Question 1168561: Jackson's favorite television starts at 4:45 PM. If he gets home from school at 2:30 PM, how long does he have until his show starts?
Click here to see answer by ikleyn(52776)

Question 1168554: (a) A company has determined that its profit for a product can be described by a linear function. The profit from the production and sale of 150 units is $455, and the profit from 250 units is $895.
(i) What is the average rate of change of the profit for this product when between 150 and 250 units are sold?
(ii) Write the equation of the profit function for this product.
(iii) How many units give break-even for this product?

(b) You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweight compasses is given by p = 40 − 4q2where q
is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass.
(i) Write an equation giving profit as a function of the number of lightweight compasses produced.
(ii) At the moment the company produces 2 million lightweight compasses and makes a profit of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit?

Click here to see answer by Theo(13342)

Question 1168549: The simple interest earned on a principal of five hundred dollars at an annual interest rate of p percent is less than twenty-five dollars.Write an equation or inequality to model the situation
Click here to see answer by Theo(13342)

Question 1168595: Use synthetic division and the remainder theorem to find the indicated function value
f(x)=2x^3-7x^2-5x+11; f(-3)
Click here to see answer by ikleyn(52776)

Question 1168595: Use synthetic division and the remainder theorem to find the indicated function value
f(x)=2x^3-7x^2-5x+11; f(-3)
Click here to see answer by josgarithmetic(39616)

Question 1168596: 14.
https://answers.yahoo.com/question/index?qid=20201029210234AAvAdMw
Click here to see answer by ikleyn(52776)

Question 1168596: 14.
https://answers.yahoo.com/question/index?qid=20201029210234AAvAdMw
Click here to see answer by josgarithmetic(39616)

Question 1168597: If y varies directly as x, find the direct variation equation for the situation
y=3 when x=1/5
Click here to see answer by josgarithmetic(39616)

Question 1168601: x varies inversely as y^2 and x=6 when y=8. Find x when y=2?
Click here to see answer by josgarithmetic(39616)

Question 1168598: Use synthetic division and the Remainder Theorem to find the indicated function value.
f(x)=2x^ 3 -7x^ 2 -5x+11;f(-3)
Click here to see answer by josgarithmetic(39616)

Question 1168604: If y varies directly as x, find the direct variation equation for the situation
y=3 when x=1/5

I know that y=Kx but what does k=

Click here to see answer by josgarithmetic(39616)

Question 1168599: 8) Use the Rational Zero Theorem to list all possible rational zeros for the given function
f(x) = - 2x ^ 3 + 3x ^ 2 - 4x + 8
Click here to see answer by MathLover1(20849)

Question 1168621: find the equation of the ellipse in general form with vertices at (-2,1) and (4,1) with eccentricity of ⅔

Click here to see answer by MathLover1(20849)

Question 1168647: An airplane is flyigg at 195m/s due North makes a gradual turn following a circular path to fly due south. the turn takes 45 seconds to complete
a) what is teh radius of the curve that the plane follows in making the turn (2.79E3M answer)
b) what is teh magnitude of the centripetal acceleration during the turn (13.63m/s answer)
pls can u show me the approach, im stuck
i used the equations v=2*pi*r/t and set it equal to r??
Click here to see answer by htmentor(1343)

Question 1168679: The red-line on your car's engine might start at around 7000 RPM. That means it completes 7000 cycles per minute. at that rate, what is the time period of each individual rotation?
Equation:
1RPM= 1rev/60 sec
Could you show me the approach to this question, and solve! Thankss
Click here to see answer by ikleyn(52776)

Question 1168739: Is the volume of a sphere and its radius directly proportional?
Click here to see answer by ikleyn(52776)

Question 1168734: 1/2x-1/3>2/3x-1/6
Click here to see answer by ikleyn(52776)

Question 1168750: You measure 30 textbooks' weights, and find they have a mean weight of 78 ounces. Assume the population standard deviation is 2.3 ounces. Based on this, construct a 99% confidence interval for the true population mean textbook weight.
Give your answers as decimals, to two places
< μ <
Click here to see answer by math_tutor2020(3816)

Question 1168747: Please list the steps to Simplify the below problem? I come up with 2a after multiplication and cancellation
a^2 - b^2 * 2a^2 - 2a = (a + b) (a - b) * 2(a^2 - a) = 2^3b = 2a
a^2 - ab a - 1 a(a - b) * a - 1 a^2 -b
Thank you
Click here to see answer by math_tutor2020(3816)

Question 1168790: -2,5 reflected over the x-axis
Click here to see answer by math_tutor2020(3816)

Question 1168343: Translate the statement into an equation using “K” as the constant of proportionality?
W is jointly proportional to X,Y,and Z

Click here to see answer by Boreal(15235)

Question 1168802: -3m squared + m -m squared + 7 + 3m

Click here to see answer by Alan3354(69443)

Question 1168881: Write an equation of the line that passes through (-5, -1) and is parallel to the line y = 4x-6.
Click here to see answer by Cromlix(4381)

Question 1168890: Did I also subtract the below equations correctly?

3a
a+4
−
(2a2−16a
a2−16)=
a3+8a2+16a
a3+4a2−16a−64=

a(a+4)(a+4)
(a+4)(a+4)(a−4)=
a
a−4
Thank you

Click here to see answer by josgarithmetic(39616)

Question 1168891: Could you show me step by step how to find the LCM by first finding the prime factors for the below 2:
#1 - 4, 10, 16 and 20
#2 - x^3y^3, xyz, 3x^2yz^2
Thank you
Click here to see answer by josgarithmetic(39616)

Question 1168899: Write an equation in slope-intercept form for a line that is perpendicular to 2x + 3y = 12 and passes through the point (1, 4).
Click here to see answer by josgarithmetic(39616)

Question 1168902: Which is the best step to take to solve the following system of linear equations?
2x - 3y = 13
x - y = 5
a. Add the equation x - y = 5 and x - 3y = 6.5
b. Subtract the equation x - y = 5 from the equation x - 3y = 6.5
c. Subtract the equation 2x - 2y = 10 from the equation 2x - 3y = 13
d. Add the equations 2x - 3y = 13 and 3x - 3y = 15
Click here to see answer by josgarithmetic(39616)

Question 1168903: -y <= 3x - 5 Name the slope and y-int. and show your work for finding the solution area. Help please!
Click here to see answer by Boreal(15235)

Question 1168900: Find 2 greatest consecutive even integers whose sum is less than 217
Click here to see answer by ikleyn(52776)

Question 1168900: Find 2 greatest consecutive even integers whose sum is less than 217
Click here to see answer by MathTherapy(10551)

Question 1168889: Did I add these 2 equations correctly below?
3a
a+4
+
2a2−16a
a2−16
=
5a3−8a2−112a
a3+4a2−16a−64
=
a(5a−28)(a+4)
(a+4)(a+4)(a−4)
=
5a2−28a
a2−16
Thank you
Click here to see answer by MathTherapy(10551)

Question 1168971: To rent a certain meeting room, a college charges a reservation fee of $16 and an additional fee of $6 per hour. The chemistry club wants to spend less than $70 on renting the room.
What are the possible numbers of hours the chemistry club could rent the meeting room?
Click here to see answer by ikleyn(52776)

Question 1169143: I don't really know the topic.
Arrange the expressions in increasing order of their values.
1.cos(52.5)cos(7.5)
2.sin(52.5)cos(7.5)
3.sin(52.5)sin(7.5)
4.cos(52.5)sin(7.5)
Click here to see answer by greenestamps(13198)

Question 1169189: Which number sets do not contain the value of (2+6i)(2-6i)-50
Click here to see answer by josgarithmetic(39616)

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