Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Question 1168293: A carpenter had two apprentices for a job. The carpenter worked 6 hours longer than the first apprentice. The second apprentice worked twice as long as the first. If the carpenter and his apprentices worked a total of 22 hours, how long did the carpenter work?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1202850: In 2010, the estimated population of Pottsville, USA was 31,713 people. By 2011, the population had grown to 32,928 people.
Assuming that the growth is linear, construct a linear function
that expresses the population of Pottsville
years since 2010 and use it to predict the population in the year 2015.
L(t)=

Round to the nearest thousandth as needed.
If this growth rate continues, the population in the year 2015 will be approximately
people.
Round your answer to the nearest person.
Assuming that the growth is exponential, construct an exponential function
that expresses the population of Pottsville
years since 2010 and use it to predict the population in the year 2015.


Round to the nearest thousandth as needed.
If this growth rate continues, the population in the year 2015 will be approximately
people.
E(t)=
Round your answer to the nearest person.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1203119: Jordan signed up for the Annual Cross Florida bike ride which is a 170 mile bike
ride. After weeks of training he rides at an average of 15 miles per hour. Choose an equation that can be used to show Jordan’s progress in miles (mm) after a number of hours (h).
 15h + m = 170
 h + 15m = 170
 15h = m
 h = 15m
Click here to see answer by math_tutor2020(3816) About Me 
Question 1203166: 2y=4×+5
Click here to see answer by josgarithmetic(39617) About Me 
Question 1203210: If the line l1 and the line y = -x+2 are symmetric about the y-axis, the equation of the line l1 is...?
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Question 1203210: If the line l1 and the line y = -x+2 are symmetric about the y-axis, the equation of the line l1 is...?
Click here to see answer by greenestamps(13200) About Me 
Question 1203252: According to​ statistics, a person will devote 35 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 17. Over the​ lifetime, how many years will the person spend on each of these​ activities?

Click here to see answer by ikleyn(52780) About Me 
Question 1203252: According to​ statistics, a person will devote 35 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 17. Over the​ lifetime, how many years will the person spend on each of these​ activities?

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Question 1203280: A father is 51 years old and his son is 19. How many years ago was the father 5 times his son’s age?
Click here to see answer by greenestamps(13200) About Me 
Question 1203280: A father is 51 years old and his son is 19. How many years ago was the father 5 times his son’s age?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1203375: For Open House in the year 2006, there were
60 tours. In the year 2010 there were 66
tours. Assuming this rate remains constant,
predict how many tours will be given in the
year 2024. Create an equation to represent
this situation and graph it.

Click here to see answer by Theo(13342) About Me 
Question 1203432: A line k passes through the points ​(−5​,−8​) and ​(1,34​). A second line h passes through the points ​(−3​,−27​) and ​(3​,15​). Is line k parallel to line​ h? Why or why​ not?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1203432: A line k passes through the points ​(−5​,−8​) and ​(1,34​). A second line h passes through the points ​(−3​,−27​) and ​(3​,15​). Is line k parallel to line​ h? Why or why​ not?
Click here to see answer by MathLover1(20849) About Me 
Question 1203431: Find k so that the line through (5,-2) and (k,3) is
A. Parallel to 15x+16y=32,
B. Perpendicular to 10x+13y=26
Click here to see answer by josgarithmetic(39617) About Me 
Question 1203491: The RideEm Bicycles factory can produce 170 bicycles in a day at a total cost of $10,500, and it can produce 190 bicycles in a day at a total cost of $11,400.
(a) Find a linear function that models the total cost for RideEm to produce x bicycles.
C(x)= 45x + 2850
Correct: Your answer is correct.

(b) What are the company's daily fixed costs?
The fixed costs are 2850
Correct: Your answer is correct.
dollars.
(c) What is RideEm's variable costs?
The variable costs are
dollars.
JUST NEED C
Click here to see answer by josgarithmetic(39617) About Me 
Question 1203510: Hi, I've tried solving this equation in multiple ways but can't seem to crack it. The problem is 2/3 (3x+9)=-2(2x+6), please show me the steps to solve as well, Thanks much ;)
Click here to see answer by MathLover1(20849) About Me 
Question 1203510: Hi, I've tried solving this equation in multiple ways but can't seem to crack it. The problem is 2/3 (3x+9)=-2(2x+6), please show me the steps to solve as well, Thanks much ;)
Click here to see answer by josgarithmetic(39617) About Me 
Question 1203510: Hi, I've tried solving this equation in multiple ways but can't seem to crack it. The problem is 2/3 (3x+9)=-2(2x+6), please show me the steps to solve as well, Thanks much ;)
Click here to see answer by greenestamps(13200) About Me 
Question 1203602: 3x+5y=-2 convert to slope intercept form (y=mx+b)
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1203614: For his phone service, Josh pays a monthly fee of $20, and he pays an additional 0.04 per minute of use. The least he has been charged month is $ 62.36.
Click here to see answer by greenestamps(13200) About Me 
Question 1203614: For his phone service, Josh pays a monthly fee of $20, and he pays an additional 0.04 per minute of use. The least he has been charged month is $ 62.36.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1203614: For his phone service, Josh pays a monthly fee of $20, and he pays an additional 0.04 per minute of use. The least he has been charged month is $ 62.36.
Click here to see answer by ikleyn(52780) About Me 
Question 1203616: The perimeter of a rectangular room is 60.5 feet. Let x be the width of
the room (in feet) and let y be the length of the room (in feet). Select
the equation that could model this situation.
Ⓐ y = - 2x + 60.5
Ⓑ y = - x + 30.25
Ⓒ 2x + y = 30.25
Ⓓ x + 2y = 60.5
Click here to see answer by ikleyn(52780) About Me 
Question 1203664: how do you put 6x-9y=-12 in to slope intercept from
Click here to see answer by MathLover1(20849) About Me 
Question 1203664: how do you put 6x-9y=-12 in to slope intercept from
Click here to see answer by mananth(16946) About Me 
Question 1203664: how do you put 6x-9y=-12 in to slope intercept from
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Question 1203670: A line’s equation is given in point-slope form: y=(-2/9)(x+9)+1
This line’s slope is -2/9
What is a point on this line that is apparent from the given equation?
*I've tried (0,-1), (-9/2,0), (-2,-5/9) but all these answers are wrong.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1203670: A line’s equation is given in point-slope form: y=(-2/9)(x+9)+1
This line’s slope is -2/9
What is a point on this line that is apparent from the given equation?
*I've tried (0,-1), (-9/2,0), (-2,-5/9) but all these answers are wrong.
Click here to see answer by MathTherapy(10552) About Me 
Question 1203670: A line’s equation is given in point-slope form: y=(-2/9)(x+9)+1
This line’s slope is -2/9
What is a point on this line that is apparent from the given equation?
*I've tried (0,-1), (-9/2,0), (-2,-5/9) but all these answers are wrong.
Click here to see answer by greenestamps(13200) About Me 
Question 1203671: Find C such that (10,-1), (-4,10), and (C,-6) lie on a line. What is the C value?
Click here to see answer by ikleyn(52780) About Me 
Question 1203671: Find C such that (10,-1), (-4,10), and (C,-6) lie on a line. What is the C value?
Click here to see answer by MathLover1(20849) About Me 
Question 1203671: Find C such that (10,-1), (-4,10), and (C,-6) lie on a line. What is the C value?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1177056: Place three vertices of a parallelogram ABCD at A(0, 0), B(2a, 2b)
and D (2c, 2d).
Use gradients to show that C = (2a + 2c, 2b + 2d) completes the
parallelogram
Click here to see answer by mananth(16946) About Me 
Question 1134070: (6 pts) A particular state computed income tax, T (in dollars) on a person’s income, x (in dollars), by the following formula:
T (x) ={0.018x if 0 ≤ x ≤ 5,000
90+ 0.025 (x-5,000) if 5,000 < x < 10,000
215 +0.050 (x-10,000) if x > 10,000
What is the tax on an income of $7,300? Show work.



(b) What is the tax on an income of $73,000? Show work.
 
Click here to see answer by mananth(16946) About Me 
Question 1134070: (6 pts) A particular state computed income tax, T (in dollars) on a person’s income, x (in dollars), by the following formula:
T (x) ={0.018x if 0 ≤ x ≤ 5,000
90+ 0.025 (x-5,000) if 5,000 < x < 10,000
215 +0.050 (x-10,000) if x > 10,000
What is the tax on an income of $7,300? Show work.



(b) What is the tax on an income of $73,000? Show work.
 
Click here to see answer by math_tutor2020(3816) About Me 
Question 1203694: graph the line whose x-intercept is -2 and whose y-intercept is -6.
Click here to see answer by math_tutor2020(3816) About Me 
Question 1203694: graph the line whose x-intercept is -2 and whose y-intercept is -6.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1203694: graph the line whose x-intercept is -2 and whose y-intercept is -6.
Click here to see answer by Theo(13342) About Me 
Question 1203695: y=-1/4 . x + 4
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Question 1203729: Suppose that from 2020 to 2060, the number of females in the U.S. under the age of 18, in millions, can be modeled by
N = 0.150x + 38.4
Where x is the number of years after 2020.
(a) Viewing N as a function of x, what is the slope m of the graph of this function?
(b) What does the model predict the population of females under 18 (in millions) will be in 2040?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1203729: Suppose that from 2020 to 2060, the number of females in the U.S. under the age of 18, in millions, can be modeled by
N = 0.150x + 38.4
Where x is the number of years after 2020.
(a) Viewing N as a function of x, what is the slope m of the graph of this function?
(b) What does the model predict the population of females under 18 (in millions) will be in 2040?
Click here to see answer by MathLover1(20849) About Me 
Question 1171574: x=3y,x-3y=0 using substitution
Click here to see answer by math_tutor2020(3816) About Me 
Question 1203786: Find the point (𝑥,𝑦)
on the line 𝑦=𝑥
that is equidistant from the points (10,−10)
and (−4,6)
.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1203786: Find the point (𝑥,𝑦)
on the line 𝑦=𝑥
that is equidistant from the points (10,−10)
and (−4,6)
.
Click here to see answer by mananth(16946) About Me 
Question 1203786: Find the point (𝑥,𝑦)
on the line 𝑦=𝑥
that is equidistant from the points (10,−10)
and (−4,6)
.
Click here to see answer by ikleyn(52780) 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