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

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Question 631889: it takes 8 hours to dig a hole. it would take you and another person 5 hours to dig that same hole together. if the other person were to dig himself it would take how many hours?
Click here to see answer by richwmiller(17219) About Me 

Question 631939: At best buy Larry buys three CDs and three CDs for $108 from the sale rack. Kelly buys two CDs and one DVD from the same rack for $48. What is the price per CD and the price per DVD.?
Click here to see answer by josmiceli(19441) About Me 

Question 631773: I can't figure this one out
Joe plays marbles with his friends and Joe finds out he is moving away. Joe has a large number of marbles that he decides to split among his friends. To his best friend, he gives 1 marble plus 1/7 of what is remaining. To his second best friend, he gives 2 marbles plus 1/7 of what is remaining. To his 3rd best friend, he gives 3 marbles plus 1/7 of what is remaining. He does this consecutively with all of his friends, until the last friend gets all that is remaining. After this is all done, everyone realizes they have the exact same number of marbles. How many marbles did Joe have and how many friends played marbles, including Joe?

Click here to see answer by KMST(5328) About Me 

Question 632035: how do i solve a problem using tiles:
If i had to do a hallway and i have 37 tiles long and 150 tiles wide how many tiles total will i have?

Click here to see answer by nerdybill(7384) About Me 

Question 631807: A squirrel is running along a branch 144 feet above ground dislodges a pine cone. After how many seconds does the pine cone land on the ground? (assume no branches interfere with its fall).
Please show all work

Click here to see answer by KMST(5328) About Me 

Question 632064: The unit's digit of a two-digit number is twice the ten's digit. Twice the original number is 12 more than number in reversed order. What is the original number?
Click here to see answer by ewatrrr(24785) About Me 
Question 632064: The unit's digit of a two-digit number is twice the ten's digit. Twice the original number is 12 more than number in reversed order. What is the original number?
Click here to see answer by nerdybill(7384) About Me 

Question 632101: The Puzzle
Sara really needed to go to the doctor for her check-up... and to her dentist, chiropractor, and optometrist. All four had been persistently reminding her that she was overdue for check-ups. But she'd been travelling a lot for work and just hadn't had the time to make her appointments. So, in a fit of reckless abandon, she scheduled all FOUR of them for the same day – next Tuesday, the one day she was home between two business trips. Getting four appointments in the same day was a challenge but fortunately they were all in the same medical center so she didn’t have to allow for travel time. Determine the time of each appointment (times were 9:00 am, 11:30 am, 1:00 pm, and 3:30 pm), the type of doctor she was seeing, how long each appointment was scheduled for (1/2 hour or 1 hour), and each doctor’s name.
1. Sara's one-hour appointments were scheduled with Dr. Borne and the dentist.
2. Her appointment with Dr. Swan was scheduled for half an hour.
3. Dr. Bigelow was the physician.
4. The appointment with her optometrist was scheduled to start on the half hour.
5. She saw her chiropractor before Dr. Swan but after her appointment with Dr. Mann.
6. Her appointment with Dr. Mann wasn't at 9:00 am

Click here to see answer by richwmiller(17219) About Me 

Question 631715: Sara was paid $87 for working 14 1/2 hours. How much did Sara get paid per hour?
Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 632189: Yellows vary inversely as grays cubed. When there are 270 yellows, there are 2 grays. How many yellows are present when there are 6 grays? i got 810 and i was just wondering if it is correct
Click here to see answer by solver91311(24713) About Me 
Question 632189: Yellows vary inversely as grays cubed. When there are 270 yellows, there are 2 grays. How many yellows are present when there are 6 grays? i got 810 and i was just wondering if it is correct
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 632368: Mark had 3 times more marbles than Isabella. Isabella had 2/3 as many marbles as Jack for a total of 99 marbles. How many marbles did Mark, Isabella, and Jack each have? Write an algebraic equation that represents the problem stated above, being sure to define your variable, and use the algebraic equation to solve the problem. Show your work
Click here to see answer by ewatrrr(24785) About Me 

Question 632439: 14-9(4-3q)=5(q+6)-7q
Click here to see answer by jim_thompson5910(35256) About Me 

Question 632679: Hooke's law states that the distance that a spring is stretched by hanging object varies directly as the mass of the object. If the distance is 160cm when the mass is 24 kg, what is the distance when the mass is 8kg?(round answer to two decimal places)
Click here to see answer by John10(297) About Me 

Question 632705: Problem: One day I was at school,the electricity went out at home. when I left for swim practice that morning,all the clocks were working and the time was 6:30am.When I returned home they all said different times. the wind -up clock,which was unaffected by the loss of electricity,have a time of 5:21pm. my math clock, which stops when the electricity is off and runs when the electricity is on, gave a time of 3:50 pm. My digital clock, which resets to midnight when the power goes off and continues to run from that point,have a flashing time of 6:03 am. Assuming the electricity went out only once, what time did it go out and for how long?
~ also can you show all of your work thank you soo much!!

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

Question 632703: Problem: One day I was at school,the electricity went out at home. when I left for swim practice that morning,all the clocks were working and the time was 6:30am.When I returned home they all said different times. the wind -up clock,which was unaffected by the loss of electricity,have a time of 5:21pm. my math clock, which stops when the electricity is off and runs when the electricity is on, gave a time of 3:50 pm. My digital clock, which resets to midnight when the power goes off and continues to run from that point,have a flashing time of 6:03 am. Assuming the electricity went out only once, what time did it go out and for how long?
~ also can you show all of your work thank you soo much!

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 632747: `Problem: One day I was at school,the electricity went out at home. when I left for swim practice that morning,all the clocks were working and the time was 6:30am.When I returned home they all said different times. the wind -up clock,which was unaffected by the loss of electricity,have a time of 5:21pm. my math clock, which stops when the electricity is off and runs when the electricity is on, gave a time of 3:50 pm. My digital clock, which resets to midnight when the power goes off and continues to run from that point,have a flashing time of 6:03 am. Assuming the electricity went out only once, what time did it go out and for how long?
~ also can you show all of your work thank you soo muchh

Click here to see answer by Alan3354(69443) About Me 
Question 632747: `Problem: One day I was at school,the electricity went out at home. when I left for swim practice that morning,all the clocks were working and the time was 6:30am.When I returned home they all said different times. the wind -up clock,which was unaffected by the loss of electricity,have a time of 5:21pm. my math clock, which stops when the electricity is off and runs when the electricity is on, gave a time of 3:50 pm. My digital clock, which resets to midnight when the power goes off and continues to run from that point,have a flashing time of 6:03 am. Assuming the electricity went out only once, what time did it go out and for how long?
~ also can you show all of your work thank you soo muchh

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

Question 632744: Problem: One day I was at school,the electricity went out at home. when I left for swim practice that morning,all the clocks were working and the time was 6:30am.When I returned home they all said different times. the wind -up clock,which was unaffected by the loss of electricity,have a time of 5:21pm. my math clock, which stops when the electricity is off and runs when the electricity is on, gave a time of 3:50 pm. My digital clock, which resets to midnight when the power goes off and continues to run from that point,have a flashing time of 6:03 am. Assuming the electricity went out only once, what time did it go out and for how long?
~ also can you show all of your work thank you soo much!

Click here to see answer by Alan3354(69443) About Me 
Question 632744: Problem: One day I was at school,the electricity went out at home. when I left for swim practice that morning,all the clocks were working and the time was 6:30am.When I returned home they all said different times. the wind -up clock,which was unaffected by the loss of electricity,have a time of 5:21pm. my math clock, which stops when the electricity is off and runs when the electricity is on, gave a time of 3:50 pm. My digital clock, which resets to midnight when the power goes off and continues to run from that point,have a flashing time of 6:03 am. Assuming the electricity went out only once, what time did it go out and for how long?
~ also can you show all of your work thank you soo much!

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

Question 632746: `Problem: One day I was at school,the electricity went out at home. when I left for swim practice that morning,all the clocks were working and the time was 6:30am.When I returned home they all said different times. the wind -up clock,which was unaffected by the loss of electricity,have a time of 5:21pm. my math clock, which stops when the electricity is off and runs when the electricity is on, gave a time of 3:50 pm. My digital clock, which resets to midnight when the power goes off and continues to run from that point,have a flashing time of 6:03 am. Assuming the electricity went out only once, what time did it go out and for how long?
~ also can you show all of your work thank you soo much

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

Question 632704: Problem: One day I was at school,the electricity went out at home. when I left for swim practice that morning,all the clocks were working and the time was 6:30am.When I returned home they all said different times. the wind -up clock,which was unaffected by the loss of electricity,have a time of 5:21pm. my math clock, which stops when the electricity is off and runs when the electricity is on, gave a time of 3:50 pm. My digital clock, which resets to midnight when the power goes off and continues to run from that point,have a flashing time of 6:03 am. Assuming the electricity went out only once, what time did it go out and for how long?
~ also can you show all of your work thank you soo much!!! Please help me

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

Question 632790: It takes 4 minutes for a faucet to fill a sink. It takes 3 times as long to drain the sink. How long will it take to fill the sink if both the faucet is left on and the drain open.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 632873: How long would it take light to travel a mole of millimeters? Write your answer in a form like this: 6 years, 4 months, and 13 days. Give your answer in approximate form (within a few days).
I figured out that light travels at a speed of 3x10^8 m/s. I have only dealt with moles regarding the periodic elements and cannot figure out how to transfer that knowledge to this question.

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

Question 632872: At time t = 0 a slingshot fires an egg straight up from a window of a tall building. The height of the egg above ground as a function of time is given by
y = -4.9t2 + 21t + 56, where y is in meters and t is in seconds. a. How high up is the window? b. How high is the egg after 3 s? c. After launching the egg, how long does the shooter have to wait to see the egg go by the window on the way down? d. At what times is the egg 65 m above ground? (Solve with the quadratic formula; then check your work using the trace feature of a graphing calculator.) e. When does the egg impact the ground?
I began by drawing a picture of an egg being slung out of a window. I figured that vf=0, the distance from the ground to the window was 56, acceleration was negative leaving the constant -9.8m/s^2. I plugged this information into the equation +vf%5E2-v0%5E2=2%28a%28change+in+x%29%29+ but my answer was clearly wrong and I cannot figure out how else to go about this question.

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

Question 632920: A handy man is installing a new shelf in his work shop. He wants to cut a 72 inch board into 3 pieces, so that each shelf would be 6 inches longer than the proceeding board. What is the length of each shelf?
Click here to see answer by Earlsdon(6294) About Me 

Question 633003: A plane flies 500 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 30 mph, what is the speed of the plane in still air?
Click here to see answer by mananth(16946) About Me 

Question 633002: A boat traveled for 3 hr with a 12-mph current to reach a picnic area. The return trip against the same current took 12 hr. Find the speed of the boat in still water.
Click here to see answer by mananth(16946) About Me 

Question 633001: Anne and Nancy use a metal alloy that is 23.58% copper to make jewelry. How many ounces of a 21% alloy must be mixed with a 30% alloy to form 108 ounces of the desired alloy?
Click here to see answer by richwmiller(17219) About Me 

Question 633072: D varies directly with t. If D = 30 when t = 6, then find t when D = 55
Click here to see answer by graphmatics(170) About Me 

Question 633076: m varies directly as n and inversely as p. If m = 2 when n = 16 and p = 16, find p when m = 16 and n = 25
Click here to see answer by ilana(307) About Me 

Question 633087: The cost of labors varies directly with the number of workers and the number of days worked. If 16 people work 5 days for $9,600, how many days can 9 people work to earn $6,480?
Click here to see answer by richwmiller(17219) About Me 

Question 633133: The number of coffee shops in a certain country can be modeled by the quadratic function f(x)=111x^2+680x+4486 where f(x) is the number of the coffee shops and x is the number of years after 2000. Two part answer - part a) the number of coffee shops in 2004 was? and b) the year in which the number of coffee shops will be 20,000 is?
I've tried trying applying the quadratic formula for the first part, but I don't understand the two parts they want answered. Thank you for your help!

Click here to see answer by graphmatics(170) About Me 

Question 633315: Hello I'm a college student in need of help with my elementary algebra problem. And it goes...The length of a rectangle is five times its width. When the length is decreased by 3m and the width is increased by 2m, the area of the new rectangle is 60m^2. Find the original length and width.
I tried using the A=lw formula but it doesn't make any sense to me. I get stuck...I did 60=(5x-3)(x+2) and I came out 12.6 and that didn't match up. I also tried 60=5x(x) = 60=5x^2 = 5(x^2-12=0 and then I get completely stuck.

Click here to see answer by richwmiller(17219) About Me 

Question 633468: a farmer had a total of 700 goats and sheep. if he sold 3/4 of his goats and 400 sheep , he would have an equal number of goats and sheep left. how many more sheep than gots did he have in the beginning?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 633514: How is it possible to have positive acceleration while slowing down or negative acceleration while speeding up? The hint given is that acceleration is not the same thing as speed. Help would be greatly appreciated. Thanks!
Click here to see answer by solver91311(24713) About Me 

Question 633616: How long will each question take to answer if there are 80 questions in a 4 hour long test?
Click here to see answer by Theo(13342) About Me 
Question 633616: How long will each question take to answer if there are 80 questions in a 4 hour long test?
Click here to see answer by ikeoddy(3) About Me 

Question 633638: A point labelled E is drawn on the interior of a square and lines drawn to it from each of the corners. Give an argument that would convince someone else who has studied mathematics that the combined area of the 2 darker shaded triangular regions is half the area of the surrounding square...it may not be { in which case you would have to provide an argument that justi fies this conclusion.

(darker shades are covered by the stars*)
blank space is covered with dots
*************************
*.***********************
*....****************...*
*.......************....*
*.............****E.....*
*............******.....*
*..........********.....*
*.......*************...*
*..*******************..*
* ***********************
*************************

Click here to see answer by solver91311(24713) About Me 

Question 633803: If Cynthia earns 400 dollars in 32 hours, how much does she earn in one hour?
Click here to see answer by ewatrrr(24785) About Me 

Question 633848: What must Sara get on here next test to average 80% if her previous test scores were 78, 88, 83, and 81?
Click here to see answer by checkley79(3341) About Me 

Question 633866: The container that holds the water for the football team is 3/10 full. After pouring in 13 gallons of water, it is 4/5 full. How many gallons can the container hold?
Click here to see answer by solver91311(24713) About Me 
Question 633866: The container that holds the water for the football team is 3/10 full. After pouring in 13 gallons of water, it is 4/5 full. How many gallons can the container hold?
Click here to see answer by patrickca(4) About Me 

Question 633861: today the cook noted that he had 3 orders for french fries for every 10 people who ordered lunch. altogether, 42 people did not order french fries. how many people ordered lunch at hal's today
Click here to see answer by ewatrrr(24785) About Me 

Question 634013: The Robinson family and the Sanders family each used their sprinklers last summer. The water output rate for the Robinson family's sprinkler was 25L per hour. The water output rate for the Sanders family's sprinkler was 20L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1250L. How long was each sprinkler used?
Click here to see answer by mananth(16946) 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, 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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