Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 1124565: Hi
700 marbles were shared among 4 boys. Bobby received 50% more than andrew. The remaining number of marbles was shared between jeff and simon in the ratio of 3:2. If simon received 40% of the number of marbles andrew received, how many did bobby and jeff received altogether.
Thanks

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Question 1124510: how many solution does the equation a|x+b|+c=d have if a<0 and c=d? If a<0, d>0 and c
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Question 1124621: One pipe can fill a tank in 45 mins. and another pipe can fill it in 30 mins. If these two pipes are open and a third pipe is draining water from the tank, it takes 27 mins. to fill the tank. How long will it take the third pipe alone to empty a full tank?
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Question 1124622: Gilbert took 3 hrs longer to drive 120 km on his first day of a trip than to drive 110 km on the second day. If his rate was the same on both days, how long was his driving time for each day?
Click here to see answer by josgarithmetic(39614) About Me 
Question 1124622: Gilbert took 3 hrs longer to drive 120 km on his first day of a trip than to drive 110 km on the second day. If his rate was the same on both days, how long was his driving time for each day?
Click here to see answer by greenestamps(13196) About Me 

Question 1124586: Ellen buys three paperback books and two hardcover books at a special event during which no sales tax is charged. Each paperback book costs one dollar less than half the cost of each hardcover book. The total for Ellen’s five books is $46. What is the cost of a paperback book

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Question 1124674: (x^2 - y^2) to (x - y)^2
Determine the ratio.
Not sure how to continue. Non-homework.

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Question 1124729: Hi
a big solid cube is made of 27 small cubes of edge 2cm. If the outer of the big cube were painted, find the total area of the painted surfaces of the small cubes that had been painted more than twice.
Thanks

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Question 1124729: Hi
a big solid cube is made of 27 small cubes of edge 2cm. If the outer of the big cube were painted, find the total area of the painted surfaces of the small cubes that had been painted more than twice.
Thanks

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1124783: if ram can paint a room alone in 15 hours . tigether ram and shyam can paint the same room in 6 hours.how much time would shyam aline take a paint the room?
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Question 1124771: A carpenter has a piece of lumber measuring 10 ft 6 and 3/4 inches long.How much must a carpenter saw off to be left with a piece 7 ft 11 in 5/16 in Long? (note: assume the saw has no cut width)
Click here to see answer by Alan3354(69443) About Me 

Question 1124929: The digit 6 is written at the right hand end of a certain four-digit number, creating a five-digit number. The new number is 54321 larger than the original four-digit number. What is the original four-digit number?
Click here to see answer by josmiceli(19441) About Me 

Question 1124943: A 100 watt lightbulb consumes how many joules of energy in 1 second?
Click here to see answer by MathLover1(20849) About Me 

Question 1124861: Benny and Jenny are identical twins. They are both the same height. Benny is standing 15 feet away from Jenny. He throws a ball to her and the highest height the ball reaches is 10 feet before she catches it. Sketch a graph and write an equation that models the path of the ball.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1124957: A Lego set has 27 cubes each of edge 1cm. A child puts them together to make one large cube. What is the length of the large cube?

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Question 1125011: Emma and Anna went to the market to buy 25 fruits. Emma got a few apples that cost $2 each and Anna bought some oranges which cost $3 each. If their combined total is $60, how many oranges did Anna get?
Click here to see answer by josgarithmetic(39614) About Me 

Question 1125048: I have 3 times as many twenty-dollar bills than five-dollar bills, and no other money. If the value of my five-dollar bills is $35.00, how much money do I have in total.
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Question 1125049: The interiors of all the unit squares of a 10 by 10 board are to be painted. Any two squares that have a side in common will be painted with a different color of paint. What is the least number of colors that will be needed?
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Question 1125127: The perimeter of a rectangular window is
42
42 feet. The width of the window is
5
5 feet more than the length. What are the dimensions of the​ window?

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Question 1125145: S is the sum of two numbers, and the larger is M times the smaller. Determine numbers.
Partial solution with problem:
X = smaller number.
MX = larger.
X + MX = S
X(1 + M) = S
X = S / (1 + M) I understand how this was solved for.

MX = MS /(1 + M)

I am not clear how the MX was solved for.
Non-homework.


Click here to see answer by ikleyn(52756) About Me 
Question 1125145: S is the sum of two numbers, and the larger is M times the smaller. Determine numbers.
Partial solution with problem:
X = smaller number.
MX = larger.
X + MX = S
X(1 + M) = S
X = S / (1 + M) I understand how this was solved for.

MX = MS /(1 + M)

I am not clear how the MX was solved for.
Non-homework.


Click here to see answer by MathTherapy(10549) About Me 

Question 1125270: Mrs. Mack teaches three art classes, each having 30 students. She has a supply of 150 sheets of special paper for an upcoming project. For the project, each student in each class will use one sheet of paper.
What fraction of the paper supply will be used by the three classes? The fraction in lowest terms.

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Question 1125249: You are choosing between two different prepaid cell phone plans. The first plan charges a rate of 34 cents per minute. The second plan charges a monthly fee of $19.95 plus 13 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?
You would have to use more than

minutes in a month.
Begin by writing linear modeling functions for the cost C for each cell phone plan in terms of t minutes having the form
C = mt + b.
What is the interpretation of the point of intersection for the two modeling functions? If two functions have the same output C, what is a method for solving for the input t? Interpret the cost of each cell plan when t is greater than and when t is less than its intersection point value.

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Question 1125262: the sum of the first n terms of a series is 5n^2-2n. the r-1 term is
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Question 1125332: Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter.
Area: 16 square feet

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Question 1125362: Find each:
The sum of two numbers is s; m times their sums is equal to n times their difference.
a and c = the numbers.
a + c = s
a + c = ms = a - c = n
Not sure how to continue. Non - homework.

Click here to see answer by josgarithmetic(39614) About Me 

Question 1125379: if i go up a flight of stairs two at a time i get to the top without any being left over.if i try three at a time and again five at a time i still go to the top without any being left over.find the shortest path of stairs for which this is possible. how many would remain if i would go up the flight seven at a time.

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Question 1125408: The sum of the heights of a giraffe and a baby giraffe is 15 meters. If the baby giraffe has a height which is 2/3 that of the giraffe, what is the height of the baby giraffe?
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Question 1125407: Mary has 1/3 of the money that Erin has. Erin has $8 less than John. Together they have $267. How much money does each of them have?
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Question 1125427: A 5% solution of a certain type of medicine is to be diluted to a 1% solution. Determine amt. of water added.
5% solution = 5% medicine, 95% water.
1% solution = 1% medicine, 99% water.
Unsure how to proceed. Non-homework.

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Question 1125427: A 5% solution of a certain type of medicine is to be diluted to a 1% solution. Determine amt. of water added.
5% solution = 5% medicine, 95% water.
1% solution = 1% medicine, 99% water.
Unsure how to proceed. Non-homework.

Click here to see answer by ikleyn(52756) About Me 

Question 1125405: A florist sells roses for $1.50 each and carnations for $.85 each. Suppose your purchase a bouquet of 1 dozen flowers consisting of roses and carnations.
a. Declare an appropriate variable for the number of carnations in the bouquet.
b. Use the variable from question A to write an expression for the number of roses in the bouquet.
c. Using variable from question A write an expression that represents the cost of purchasing the carnations.
D. Using your expression from question B write an expression that represents the cost of purchasing the roses.
E. Add the expressions from questions C and D and simplify. What does the resulting expression represent?
F. Suppose you are willing to spend $14.75. Write and solve an equation that can be used to determine the number of carnations that be included in a bouquet of 1 dozen flowers consisting of roses and carnations.
G. Based on your results from question F, how many carnations and roses are in 1 bouquet of 1 dozen flowers?

Click here to see answer by josgarithmetic(39614) About Me 
Question 1125405: A florist sells roses for $1.50 each and carnations for $.85 each. Suppose your purchase a bouquet of 1 dozen flowers consisting of roses and carnations.
a. Declare an appropriate variable for the number of carnations in the bouquet.
b. Use the variable from question A to write an expression for the number of roses in the bouquet.
c. Using variable from question A write an expression that represents the cost of purchasing the carnations.
D. Using your expression from question B write an expression that represents the cost of purchasing the roses.
E. Add the expressions from questions C and D and simplify. What does the resulting expression represent?
F. Suppose you are willing to spend $14.75. Write and solve an equation that can be used to determine the number of carnations that be included in a bouquet of 1 dozen flowers consisting of roses and carnations.
G. Based on your results from question F, how many carnations and roses are in 1 bouquet of 1 dozen flowers?

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Question 1125482: Show me how to break this down please.
29% of adults would pay more for environmentally friendly products. You randomly select 10 adults. Find the probability that the number of adults who would pay more for environmentally friendly products is​ (a) exactly​ two, (b) more than​ two, and​ (c) between two and​ five, inclusive.

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Question 1125506: Water travels at 10' per second through a 2" pipe with inside diameter of 2.067". Determine amt.(gals.)the pipe delivers per hr.
10' per sec. = 36000' per hr.
Unsure how to solve. Non-homework.



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Question 1125509: A landscape architect designs a garden with a perimeter of 44 feet. The width is 2 feet less than the length. Find the length and the width.

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Question 1125509: A landscape architect designs a garden with a perimeter of 44 feet. The width is 2 feet less than the length. Find the length and the width.

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Question 1125539: Hi
what is the rule linking x and y
x y
0 -11
1 -10
2 -3
3 16

thanks

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Question 1125719: It is greater than 30 and less than 40. If you add the digits, the sum is 10.
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Question 1125874: A women bought a number of items for $48. She realizes that if she bought 6 more items for the same money, she would have paid $4 less per item. How many items did she buy?
Click here to see answer by greenestamps(13196) About Me 
Question 1125874: A women bought a number of items for $48. She realizes that if she bought 6 more items for the same money, she would have paid $4 less per item. How many items did she buy?
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Question 1125875: Roy flies a plane against a headwind for 4977 miles. The return trip with the wind took 16 hours less time. If the wind speed is 8 mph, how fast does Roy fly the plane when there is no wind?
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Question 1125880: Lindsey went on a 58mile trip to a soccer game . On the way back, due to road construction she had to drive 29miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game?



Work I have done:
Time=T
Rate= R
Miles= answer
RT=58
(R+29)(T+1)=58
So,
T=58/R
Plugged in
(R+29)*(58/R+1)=58

Click here to see answer by ikleyn(52756) About Me 

Question 1125879: A farmer Bought a number of pigs for $26. However 4 of them dies before he could sell the rest at a profit of 10 per pig. His total profit was $198. How many pigs did he originally buy?



The equation I came up with but when solved i do not get the correct answer:
N= number of pigs
P=price
np=216
(n-4)(p+10)=198
So ,
p=(216)/x
Plugged in
(n-4)*((216)/x+10)=198

Click here to see answer by solver91311(24713) About Me 
Question 1125879: A farmer Bought a number of pigs for $26. However 4 of them dies before he could sell the rest at a profit of 10 per pig. His total profit was $198. How many pigs did he originally buy?



The equation I came up with but when solved i do not get the correct answer:
N= number of pigs
P=price
np=216
(n-4)(p+10)=198
So ,
p=(216)/x
Plugged in
(n-4)*((216)/x+10)=198

Click here to see answer by ikleyn(52756) 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