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 1112510: For which function, y = 2x or y = x+2, is the value of y always greater than the value of x? Explain you answer.
Click here to see answer by math_helper(2461) About Me 

Question 1112507: Complete the table of ordered pairs for function y = x+5. Plot the ordered of pairs and draw a line to connect the points.
Write the rule in words.

Click here to see answer by ikleyn(52780) About Me 

Question 1112581: Question 11
The longer leg of a right triangle is 4m longer than the shorter leg.
The hypotenuse is 8m longer than the shorter leg. Find the side lengths of the triangle.

Click here to see answer by ikleyn(52780) About Me 

Question 1112588: Find an equation of the line. Write the equation in standard form.
Through (3,5); Perpendicular to 3x-4y=3

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

Question 1112625: For the function g=-2/3x+5, determine x when g(x) = 25.
Write as an equation in two variables: k(x)=-4x-1

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

Question 1112603: Hi,
Please help me to solve step-by-step on these questions.
Thank you very much.
7. Refer to Section 7.2 in the text for examples to subtract the following rational expression. Show the steps necessary to get a common denominator, perform the operation, and simplify the final answer to lowest terms :
(n^2-5n)/(n^2+8n+16) - 6/(n + 4)
9. Given the rational equation :
x/(x+1) + 9x/(x^2+3x+2) = 12/(x+2)
List the values of x (if any) for which the expressions in this equation are undefined.
What expression could be used to clear the fractions ?
Solve the equation showing all steps. Be sure to check the solutions.

Click here to see answer by mananth(16946) About Me 

Question 1112787: Hi,
Please help me to solve step-by-step on these questions.
Thank you very much.
11. Simplify the following radical expression by using the Multiplication Property of Radicals discussed in the text in Section 8.3 :
Square root of 160^7y^6z^3
12. Simplify each term in the following expression using the Multiplication Property of Radicals. Then add and subtract the like radicals as shown in the example from Section 8.4 in the text.
√150 - √54 + 3 √24

Click here to see answer by Boreal(15235) About Me 

Question 1112786: Hi,
Please help me to solve step-by-step on these questions.
Thank you very much.
10. Explain in words how to determine whether :

nth root of a^n = a
Or
nth root of a^n = /a/
Simplify the following expression by first rewriting to remove the negative exponent, then writing in radical form, then evaluating, and final simplifying. Refer to Section 8.2 in the text.
(-27)/64)^(-2/3)

Click here to see answer by Boreal(15235) About Me 
Question 1112786: Hi,
Please help me to solve step-by-step on these questions.
Thank you very much.
10. Explain in words how to determine whether :

nth root of a^n = a
Or
nth root of a^n = /a/
Simplify the following expression by first rewriting to remove the negative exponent, then writing in radical form, then evaluating, and final simplifying. Refer to Section 8.2 in the text.
(-27)/64)^(-2/3)

Click here to see answer by KMST(5328) About Me 
Question 1112786: Hi,
Please help me to solve step-by-step on these questions.
Thank you very much.
10. Explain in words how to determine whether :

nth root of a^n = a
Or
nth root of a^n = /a/
Simplify the following expression by first rewriting to remove the negative exponent, then writing in radical form, then evaluating, and final simplifying. Refer to Section 8.2 in the text.
(-27)/64)^(-2/3)

Click here to see answer by ikleyn(52780) About Me 

Question 1112825: Hi,
Please help me to solve step-by-step on these questions.
Thank you very much.
14.
a)
What is the conjugate of the expression :
√3 + √5
b)
Multiply :
√3 + √5
by its conjugate from part a.
Rationalize the denominator as shown in Section 8.5 for the following rational expression :
(2√(5-1))/(√(3 )+√5)

Click here to see answer by Alan3354(69443) About Me 
Question 1112825: Hi,
Please help me to solve step-by-step on these questions.
Thank you very much.
14.
a)
What is the conjugate of the expression :
√3 + √5
b)
Multiply :
√3 + √5
by its conjugate from part a.
Rationalize the denominator as shown in Section 8.5 for the following rational expression :
(2√(5-1))/(√(3 )+√5)

Click here to see answer by solver91311(24713) About Me 
Question 1112825: Hi,
Please help me to solve step-by-step on these questions.
Thank you very much.
14.
a)
What is the conjugate of the expression :
√3 + √5
b)
Multiply :
√3 + √5
by its conjugate from part a.
Rationalize the denominator as shown in Section 8.5 for the following rational expression :
(2√(5-1))/(√(3 )+√5)

Click here to see answer by ikleyn(52780) About Me 

Question 1112824: Hi,
Please help me to solve step-by-step on these questions.
Thank you very much.
13. Multiply the following radical with different indices. Put the radicals in exponential form, get a common denominator, and rewrite the final answer in radical form as shown in the examples in the text from Section 8.2 :
∛(4^2 ) . ∜(x^5)

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

Question 1112849: A local pinball arcade offers its regular customers the following deal. For a monthly fee of $40 players get 25 $2 pinball games. Additional games cost $2 each. After a player has played 50 games in a month, all further games are $1.
If Tom has $105 to spend in a month, how many games can he play if he takes up the special deal?
With Working out please.

Click here to see answer by josmiceli(19441) About Me 

Question 1112919: When 25 is added to a number the result is 59 less than 4 times the number.
What is the number?

Click here to see answer by josgarithmetic(39617) About Me 
Question 1112919: When 25 is added to a number the result is 59 less than 4 times the number.
What is the number?

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

Question 1112935: a line has a slope of -1/3 and passes through the y-axis at 7/2. what is the equation of the line ?

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

Question 1112932: What is the area (in square units) of the garden defined by the system of inequalities below?
y≥0
x≥0
y≤4
x+y≤8

Click here to see answer by ikleyn(52780) About Me 

Question 1112949: If the distance between (3, k) and (7, 5) is 5, find possible values of k.
Click here to see answer by josgarithmetic(39617) About Me 

Question 1112954: Hi,
Please help me to solve step-by-step on these questions.
Thank you very much.
a)
What is the conjugate of the expression :
square root 3 + square root 5
b)
Multuply:
square root 3 + square root 5
by its conjugate from part a).
c)
Rationalize the denominator as shown in Section 8.5 for the following rational expression :
2th root of 5-1 / (square root of 3 + square roor of 5)
14. Solve the following radical equation that is similar to some of the examples in Section 8.6. Show all steps in reaching the solution(s) and check the solution(s) :
square root of 5n-1 + 2n = 4

Click here to see answer by solver91311(24713) About Me 
Question 1112954: Hi,
Please help me to solve step-by-step on these questions.
Thank you very much.
a)
What is the conjugate of the expression :
square root 3 + square root 5
b)
Multuply:
square root 3 + square root 5
by its conjugate from part a).
c)
Rationalize the denominator as shown in Section 8.5 for the following rational expression :
2th root of 5-1 / (square root of 3 + square roor of 5)
14. Solve the following radical equation that is similar to some of the examples in Section 8.6. Show all steps in reaching the solution(s) and check the solution(s) :
square root of 5n-1 + 2n = 4

Click here to see answer by ikleyn(52780) About Me 

Question 1113128: y varies jointly as a and b, and inversely as the square root of c. If y=135 when a=3, b=9, and c=4; then find y when a=12, b=7, and c=9.
thank you!

Click here to see answer by josgarithmetic(39617) About Me 
Question 1113128: y varies jointly as a and b, and inversely as the square root of c. If y=135 when a=3, b=9, and c=4; then find y when a=12, b=7, and c=9.
thank you!

Click here to see answer by josmiceli(19441) About Me 

Question 1113209: Bobby just received an award for employee of the year and want to frame the plaque in such a way as it creates a border of uniform width around the rectangular plaque. He only has enough material to create a total of 16 square inches in area for the border. If the plaque 6 inches by 9 inches, how wide should the border be?
thank you!

Click here to see answer by Boreal(15235) About Me 

Question 1113271: The ordered pair (-3,10) is a solution of the equation: y + 4 = -2x

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

Question 1113230: Alika is training for a paddleboard race between Molokai and Oahu. He knows he can average 5 mph with no current. During a recent training run in the ocean, he noticed it took the same amount of time to travel 10 miles with the current as it did to travel 6 miles against the current. What was the rate of the current that day?
thank you!

Click here to see answer by Boreal(15235) About Me 

Question 1113231: Dean and his younger brother Sam are digging a hole to make an imu (underground oven) for the luau. Working together it takes them 1.5 hours to finish the hole. If it would take Sam twice as long to finish the hole working alone as it would Dean, how long would it take Dean if he had to dig the hole by himself?
thank you!

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

Question 1113272: How do you do a linear function.
Click here to see answer by josgarithmetic(39617) About Me 

Question 1113274: Lars needs to purchase AT LEAST 35 party decorations. The Party Palace charges $0.50 per decorative streamer and $0.25 per balloon, including tax. Which combination of streamers and balloons can Lars purchase with $11.50 at the Party Palace?
Click here to see answer by Theo(13342) About Me 

Question 1113305: the area of a plot of land is 126 square meter.If the breadth of plot is 5 meter less then its lenght,what is its length and breadth
Click here to see answer by ikleyn(52780) About Me 

Question 1113330: a salesperson is paid $200 per week plus 5% commission on her weekly sales of x dollars. Find a linear function that represents her total weekly pay, w( in dollars) in terms of x. What must her weekly sales be in order for her to earn $475.00 for the week?
Click here to see answer by rothauserc(4718) About Me 

Question 1113333: For the points (-1, 1) and (2, 5), find the distance d between the points and the midpoint M of the line segment which connects them.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1113333: For the points (-1, 1) and (2, 5), find the distance d between the points and the midpoint M of the line segment which connects them.
Click here to see answer by rothauserc(4718) About Me 

Question 1113228: Saint Francis College wants to make foam hats to sell at their football games. They found a local manufacturer who will produce the hats for a flat fee of $25,000 plus an additional cost of $3.50 per hat. How many hats must be produced so that the average cost per hat is $6?
thank you!

Click here to see answer by rfer(16322) About Me 

Question 1113382: Find and simplify the difference quotient f(x+h)-f(x)/h for the function f(x) = x^2 + 3.
Click here to see answer by math_helper(2461) About Me 

Question 527619: Explain how you can determine the number of solutions by looking at the graph of a system of linear equations.
Click here to see answer by amalm06(224) About Me 

Question 1113227: A tree fell over during a hurricane and settled against the side of a building (forming a right triangle). If the bottom of the tree is 11 feet away from the base of the building and the height at which the top of the tree touches the building is 1 foot less than the length of the tree, how high up the building is the top of the tree?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1113535: What does the transformation f(x)↦f(x–10) do to the graph of f(x)?
Also posted at writemyessay but no reply.

Click here to see answer by ikleyn(52780) About Me 
Question 1113535: What does the transformation f(x)↦f(x–10) do to the graph of f(x)?
Also posted at writemyessay but no reply.

Click here to see answer by rothauserc(4718) About Me 
Question 1113535: What does the transformation f(x)↦f(x–10) do to the graph of f(x)?
Also posted at writemyessay but no reply.

Click here to see answer by amalm06(224) About Me 

Question 1113613: wich choice could be the equation of a line perpendicularto the line represented by this equatian? y=2.5x+2
Click here to see answer by josgarithmetic(39617) About Me 
Question 1113613: wich choice could be the equation of a line perpendicularto the line represented by this equatian? y=2.5x+2
Click here to see answer by MathTherapy(10552) About Me 

Question 1113631: Greetings everyone I have this algebra graph scenario with 4 questions.
This is the graph https://www.dropbox.com/s/dh1iv9pymmxk2jj/20180401_143151.jpg?dl=0
Jada sells ground paprika.Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is graphed.
1.What is Jada's profit per week if she sells 60 kilograms of paprika?
2.Estimate, at least, how many kilograms (per week) of Paprikamust Jada sell to make a profit?
3.Determine the profit per kilogram per week after selling at least 35 kilogram.
4.Determine the loss per kilogram per week, after selling less than 35 kilogram.
Thanks for any help in advance

Click here to see answer by amalm06(224) About Me 

Question 1113638: Wilma is 13 years older than Bev. In nine years, Wilma will be twice as old as Bev. How old is Bev?
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