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

Algebra ->  Linear-equations -> Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!      Log On


   



Tutors Answer Your Questions about Linear-equations (FREE)


Question 1191811: You are working with your friend who finds the solution of `-x + 2y = 1` and `-2x - 3y = -12` to be `(-1,0)`. Explain to your friend why the answer is incorrect.

Click here to see answer by josgarithmetic(39617) About Me 
Question 1191811: You are working with your friend who finds the solution of `-x + 2y = 1` and `-2x - 3y = -12` to be `(-1,0)`. Explain to your friend why the answer is incorrect.

Click here to see answer by math_tutor2020(3816) About Me 

Question 1191902: A line passes through (2,4) and perpendicular to the line 3x+4y-4=0. Find the equation of the line.
Click here to see answer by math_tutor2020(3816) About Me 

Question 1191972: Draw the following line on a graph paper using proper scaling and labeling:
2x+3y=4

Click here to see answer by ikleyn(52781) About Me 
Question 1191972: Draw the following line on a graph paper using proper scaling and labeling:
2x+3y=4

Click here to see answer by josgarithmetic(39617) About Me 

Question 1191971: The total cost, C, of producing q units is a linear function. Records show that on one occasion a total cost of Tk. 11000 was incurred to produce 100 units of a product. And on another occasion a total cost of Tk. 19000 was incurred to produce 200 units.
a) write the linear equation for total cost in terms of the number of unit produced.
b) Find out Marginal cost and interpret the value.
c) Find out the Fixed cost and interpret the value.
d) Find out Average cost for producing 1200 unit.
e) draw the line on a graph paper.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1192029: graph: -2x+4y=8
i have 3 columns that are x, y and xy and requires it to be marked on a graph

Click here to see answer by math_tutor2020(3816) About Me 

Question 1192039: y+5= - 4(x+7)

Click here to see answer by josgarithmetic(39617) About Me 

Question 1192137: Given the cost function C(x) and the revenue function R(x)​, find the number of units x that must be sold to break even.
C(x)=13x+80,000 and R(x)=18x.

Click here to see answer by ikleyn(52781) About Me 

Question 1192180: what is y2 - y1 / x2 - x1 I need to know for the math test in 3 hours. PLEASE HELP ME.
Click here to see answer by greenestamps(13200) About Me 
Question 1192180: what is y2 - y1 / x2 - x1 I need to know for the math test in 3 hours. PLEASE HELP ME.
Click here to see answer by ikleyn(52781) About Me 

Question 1192237: 1. The algebraic expression - 16t2 + 75t represents the height (in feet) of a golf ball hit at an angle of 30 degrees to the horizontal after t seconds. Evaluate the expression for t = 0, 1, 2, 3, and 4 seconds and then describe what happens to the golf ball as time passes.
Click here to see answer by Theo(13342) About Me 

Question 1192297: 1. The graph of y=-1/2x^2 shifted 3 units to the right and 3 units upward.
2. the graph of y=-4x^2 shifted 8 units to the left and 4 units downward.
3. the graph of y=3/4x^2 shifted 2 units to the left and 2 units downward.
THanks..

Click here to see answer by MathLover1(20849) About Me 
Question 1192297: 1. The graph of y=-1/2x^2 shifted 3 units to the right and 3 units upward.
2. the graph of y=-4x^2 shifted 8 units to the left and 4 units downward.
3. the graph of y=3/4x^2 shifted 2 units to the left and 2 units downward.
THanks..

Click here to see answer by Theo(13342) About Me 

Question 1192453: Alexis works part-time at a clothing store. She is paid an hourly rate of $15.25/h and earns
a commission of 3.5% of her total weekly sales. If her goal is to earn $450 every week, and
she works 20 hours per week, how much (in dollars) does she need to sell to reach her goal?

Click here to see answer by ikleyn(52781) About Me 

Question 1192464: y=2
How to graph step by step

Click here to see answer by math_helper(2461) About Me 

Question 1192654: 2.A fertilizer producing company has two plants where the product is made. Plant A can make at most 30 tons per month and plant B can make at most 40 tons per month. The company wants to make at least 50 tons per month. The process produces a particulate matter in the atmosphere as observed over a nearby town. It is found that 20 pounds of the particulate matter for each ton made by plant A and 30 pounds for each ton of the product made at plant B. How many tons should be made each month from each plant to minimize the amount of particulate matter in the atmosphere.
Click here to see answer by ikleyn(52781) About Me 

Question 1166842: Hello this is our activity in the school but my teacher is not good at explaining. Please help me with the solution. Thankyou.
The Atlas Fertilizer Company has two plants where the products are made. In a week, plant A can
make at most 40 tons of fertilizers and plant B can make at most 50 tons of fertilizer per week. The
production manager wants to make a total of at least 70 tons of fertilizers per week. The amount of
particulate matter in the atmosphere over the nearby town is measured weekly and found to be 20
pounds for each ton of product made in plant A and 40 pounds for each ton of product made in plant
B. How many tons should be made weekly in each plant to minimize the total amount of particulate
matter in the atmosphere?

Click here to see answer by ikleyn(52781) About Me 

Question 1192739: Rationalize the denominator
√5
√5+√2

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

Question 1192738: To produce x units of a religious medal cost
C(x) =12x+26
The revenue is R(x) =25x
Both C(x) and R(x) are in dollars with 250 units that must be produced for profit of R130. 00?

Click here to see answer by greenestamps(13200) About Me 

Question 1192802: the figure below shows the lengths of the side of a rectangle in cm.find the value of x and y and then the area of the area of the rectangle.
Click here to see answer by ikleyn(52781) About Me 
Question 1192802: the figure below shows the lengths of the side of a rectangle in cm.find the value of x and y and then the area of the area of the rectangle.
Click here to see answer by Alan3354(69443) About Me 

Question 1193140: What is the equation of the line that is parallel to
y = -5x + 12, and passes through the point (-2, 1) ?

Click here to see answer by Edwin McCravy(20055) About Me 
Question 1193140: What is the equation of the line that is parallel to
y = -5x + 12, and passes through the point (-2, 1) ?

Click here to see answer by greenestamps(13200) About Me 

Question 1192805: A candy manufacturer makes two types of special candy, say A and B. Candy A consists of equal part dark chocolate and caramel and Candy B consists of two parts of dark chocolate and one part of walnut. The company has in stock 430 kilograms of caramel, 360 kilograms of dark chocolate and 210 kilograms of walnuts. The company sells Candy A for P285 and Candy B for P260 per kilogram. How much of each candy should the manufacturer produce to maximize profit?
Click here to see answer by ikleyn(52781) About Me 

Question 1193196: Harry buys cheese at a deli. He buys 1/4 pound of cheese at a cost of x dollars per pound. If he pays $12.25 for 2.5 pounds of cheese, what is the const per pound of cheese?
I’ve tried pretty much everything. I’ve tried balancing and cannot work it out well enough. The answer choices are
A) $4.90 B) $6.22 C)$9.95 D) $31.12
Please help me!
x, dumbblonde

Click here to see answer by josgarithmetic(39617) About Me 
Question 1193196: Harry buys cheese at a deli. He buys 1/4 pound of cheese at a cost of x dollars per pound. If he pays $12.25 for 2.5 pounds of cheese, what is the const per pound of cheese?
I’ve tried pretty much everything. I’ve tried balancing and cannot work it out well enough. The answer choices are
A) $4.90 B) $6.22 C)$9.95 D) $31.12
Please help me!
x, dumbblonde

Click here to see answer by ikleyn(52781) About Me 

Question 1193395: 27. REASONING You work in an electronics store. You earn a fixed amount of $35 per day, plus a 15% bonus on the merchandise you sell. Write an equation that models the amount y (in dollars) you earn for selling x dollars of merchandise in one day. Graph the equation.
Click here to see answer by ikleyn(52781) About Me 

Question 1193437: Y=-2/3x - 2
Click here to see answer by josgarithmetic(39617) About Me 

Question 1193444: If m(x)=x^3 and n(x)=square root sign 6+x find function value,
if possible
(m-n)(-5)

Click here to see answer by Edwin McCravy(20055) About Me 

Question 1193446: if f(x)=10x+7 and g(x)=x^2-7x find (f-g)(x)
Click here to see answer by MathLover1(20849) About Me 
Question 1193446: if f(x)=10x+7 and g(x)=x^2-7x find (f-g)(x)
Click here to see answer by josgarithmetic(39617) About Me 

Question 1193490: Find two systems of linear equations that have the ordered pair (-2,1) as a solution.
Click here to see answer by ikleyn(52781) About Me 
Question 1193490: Find two systems of linear equations that have the ordered pair (-2,1) as a solution.
Click here to see answer by Edwin McCravy(20055) About Me 

Question 1193676: Average starting salaries for students majoring in business have been increasing. The equation which predict average starting salary is
S = 20,250 + 1,050t
where s equals average starting salary and t is time measured in years since 1990 (t = 0). a. Identify s and t intercepts for this cquation.
b. Interpret these values where they are meaningful.

Click here to see answer by Solver92311(821) About Me 
Question 1193676: Average starting salaries for students majoring in business have been increasing. The equation which predict average starting salary is
S = 20,250 + 1,050t
where s equals average starting salary and t is time measured in years since 1990 (t = 0). a. Identify s and t intercepts for this cquation.
b. Interpret these values where they are meaningful.

Click here to see answer by Theo(13342) About Me 

Question 1193678: A local dairy association enlists the help of a marketing research firm to predict the demand for milk. the research firm finds that the local demand for milk can be predicted by the equation q=-4000p+10000, where p represent the price per quart(in dollar) and q represent the number of quartz purchased per week.
1: graph the equation
2: identify the slope and q-intercept.
3: intercept the meaning of the slope and q-intercept.

Click here to see answer by Solver92311(821) About Me 

Question 1193918: Prepare a table of values for y=3x+1 using values -3 to +3 and plot a graph of y=3x+1 using 2cm to represent 2 unit on both x and y axes
Click here to see answer by greenestamps(13200) About Me 
Question 1193918: Prepare a table of values for y=3x+1 using values -3 to +3 and plot a graph of y=3x+1 using 2cm to represent 2 unit on both x and y axes
Click here to see answer by ikleyn(52781) About Me 
Question 1193918: Prepare a table of values for y=3x+1 using values -3 to +3 and plot a graph of y=3x+1 using 2cm to represent 2 unit on both x and y axes
Click here to see answer by Alan3354(69443) About Me 

Question 1194083: Find the equation of

(1)The vertical line through (-5, 3).
(2) The line with x-intercept -3 and y-intercept 4.
(3) Line through (-8, 5) and parallel to the line 2x-7y+4=0

Click here to see answer by josgarithmetic(39617) About Me 
Question 1194083: Find the equation of

(1)The vertical line through (-5, 3).
(2) The line with x-intercept -3 and y-intercept 4.
(3) Line through (-8, 5) and parallel to the line 2x-7y+4=0

Click here to see answer by MathTherapy(10552) About Me 

Question 1194076: A company manufactures two products, A and B. Ech unit of A requires 3 labor hours and each unit of requires 5 labor hours. Dally manufacturing capacity 150 labor hours.
1) If x units of Product A and y units of product are manufactured each and all labor hours are to
used, determine the linear equation that requires the use of 150 labor hours per day.
ii) How many units of A can be made each day if 2units of B are manufactured each day?
iii) How many units of A can be made each week if 25 units of B are manufactured each day? (Assume a day work week)



Click here to see answer by greenestamps(13200) About Me 

Question 1194100: A charity worker is going to sell wigs, candles and hat clips to raise funds for their organization. The cost a wig for $10 and sell it at the price of $30, the cost of a candle is $ 4 and they sell them for $ 12 and the hat clips cost $ 10 and sell them for $24. They have the maximum budget to buy the stuff is $ 4000. the area of a table is 60" long and 30" wide. The area occupied by the wigs is 10square inch, the candle occupied 6square inch and the hat clips 2 square inch. How should the charity organize their stuff so they can get the maximum profit?

Click here to see answer by ikleyn(52781) About Me 

Question 1194099: A charity worker is going to sell wigs, candles and hat clips to raise funds for their organization. The cost a wig for $10 and sell it at the price of $30, the cost of a candle is $ 4 and they sell them for $ 12 and the hat clips cost $ 10 and sell them for $24. They have the maximum budget to buy the stuff is $ 4000. the area of a table is 60" long and 30" wide. The area occupied by the wigs is 10square inch, the candle occupied 6square inch and the hat clips 2 square inch. How should the charity organize their stuff so they can get the maximum profit?
Click here to see answer by ikleyn(52781) 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