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

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Question 416469: Unemployment rates
Unemployment statistics show that 969 of its residents were unemployed last month. this is a decrease of 15% from the previous month. how many residents were unemployed the previous month?

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Question 416559: Hi
Can you help me solve this problem? I tried it about five times and i am coming up with 38 and 122 for the answer but nothing is correct when I go to check.
solve: sara's telephone service costs $21 per month plus $0.25 for each local call, and long -distance calls are extra. Last month, Sara's bill was $34.64, and it included $6.14 in long-distance charges. How many local calls did she make?
Thanks so much. Your help is greatly appreciated.

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Question 416560: Find the two complementary angles whose one angle measures 5 times greater than the other less 20 degrees.
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Question 416720: four concentric circles r given .the radius of 1st circle is x.next is 2x,then 3x and 4x. given that area b/w 2nd and 1st is A and 4th and 3rd circles being B.find ratio of A to B
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Question 416945: The width and length of a rectangle are consecutive integers. If the perimeter of the rectangle is 166 inches, find the width and length of the rectangle.
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Question 417140: In Dallas, some fire trucks were painted yellow (instead of red) to heighten their visibility. During a test period, the fleet of red fire trucks made 153,348 runs and had 20 accidents, while the fleet of yellow fire trucks made 135,035 runs and had 4 accidents. At _ = .01, did the yellow fire trucks have a significantly lower accident rate? (a) State the hypotheses. (b) State the decision rule and sketch it. (c) Find the sample proportions and z test statistic. (d) Make a decision. (e) Find the p-value and interpret it. (f) If statistically significant, do you think the difference is large enough to be important? If so, to whom, and why? (g) Is the normality assumption fulfilled? Explain.
Accident Rate for Dallas Fire Trucks
Statistic Red Fire Trucks Yellow Fire Trucks
Number of accidents x1 = 20 accidents x2 = 4 accidents
Number of fire runs n1 = 153,348 runs n2 = 135,035 runs

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Question 417267: A ball rolling along a floor doesn't continue rolling indefinitely. Is it because it is seeking a place of rest or because some force is acting upon it? If the latter, identify the force.
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Question 417328: Student shirts were being sold for $5.00. Adult shirts were being sold for $20.00. 30 shirts were sold in all and $300.00 was made. How many student shirts were sold.
I know the solution, (20), but I would like to set it up in an equation. Can you help please?

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Question 417358: While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers, then what is the area of each field?
please help...im confused with word problems

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Question 417209: How long will it take a ball to drop from a bridge that is 60 meters high to hit the ground.
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Question 417475: The stress in the material of a pipe subject to internal pressure varies jointly with the internal pressure and internal diameter of the pipe and inversely with the thickness of the pipe. The stress is 100 pounds per square inch when the diameter is 5 inches, the thickness is 0.75 inch, and the internal pressure is 25 pounds per square inch. Find the stress when the internal pressure is 40 pounds per square inch if the diameter is 8 inches and the thickness 0.5 inch.
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Question 417631: how do u write 2655 in words?

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Question 417632: how do u write 2665 in words?

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Question 417690: Bayside insurance offers two health plans. Under plan A, Giselle would have to pay the first $190 of her medical bills, plus 30% of the rest. Under plan B, Giselle would pay the first $220, but only 20% of the rest. For what amound of medical bills will plan B save Giselle Money?
Assume she has over $220 in bills
Giselle would save with plan B if she had more than___ in bills?

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Question 417689: The body mass index,I, can be used to determine an individual's risk for heart disease. an index less than 25 indicates a low risk. the body mass index is given by the formula, or model, I=700w/h2, where w=weight in pounds, and H=height,in inches. Francis weighs 195 pounds and stands 71 inches tall. What is the approximate body mass index. Find and inequality describing all weights W that francis can have and be in the low-risk category
Francis approximate body mass index is??
(round to the nearest whole number)

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Question 417769: You are back on the HOA board. The time has come to buy more trees and bushes for the neighborhood park. The first order was for 24 bushes and 16 trees and the bill totaled $3960. The second order was 12 bushes and 32 trees and the bill totaled $5220.
Write an equation illustrating the first bill using b for the cost of the bushes and t for the cost of the trees
Write an equation illustrating the second bill using b for the cost of the bushes and t for the cost of the trees
Using the two equations from above and elimination method to find the cost of each bush and the cost of each tree.

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Question 417750: a hose can fill a swimming pool in 6 hours. another hose needs 3 more hours to fill the poll than the two hoses combined. how long would it take the second hose to fill the pool?
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Question 417836: the first team of workers recived 50kg of cement less than second team. every hour of work first team was using 150kg of cement while second team used 200kg, in 3 hours the first team had 1.5 times as much remaining cement as second team. how much cement was delivered to each team
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Question 418014: Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out twice as many units of plywood as lumber. It makes a profit of $25 on a unit of lumber and $40 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $10920
snookers lumber must produce and sell_units of lumberand _ units of plywood to make a profit of 10920?

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Question 418067: A large pond is stocked with fish.The fish population P is modeled by the formula:P=3t+10t^1/2+140, where t is the number of days since the fish were first introduced into the pond. How many days will it take for the fish population to reach 500?
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Question 418447: the repulsive force between the north poles of 2 magnets is inversely proportional to the square of the distance between the 2 poles. if the repulsive force is 40 pounds when the distance between the 2 poles is 2 inches, what is the repulsive force when the distance between the 2 poles is 4 inches?
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Question 418472: Two men, working together, can do a job in 20 days. After both have been working 10 days, one man quits. The other man finishes the job in 12 more days. How many days would each man have needed to do the job alone?

I know that the formula (t/a + t/b =1) should be used but im not sure how to use it. I think the problem should go something like 10/20+12/x=1 but again i am not sure

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Question 418530: a fast plane making a 2400 mile trip was delayed 14 minutes before take off because of bad weather. To make up for the delay, the pilot increased his airspeed and took a favorable tailwind. Thus he was able to average 6 miles per hour more than usual. Find the usual average ground speed and flying time for the trip.
I know the first equation is (x+6)*(y+(14/60))=2400 but i can't figure out the second equation to do a system of equations.
(x=average airspeed y=flying time)

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Question 418713: Find the dimensions of a rectangle whose perimeter is 14 meters and whose area is 12 square meters.
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Question 418731: keil is going to make 14 pounds of mixed nuts for a party. Peanuts cost 3.50 per pound and cashews cost 7.50 per pound. If Keil can spend 81.00$ on nuts, how many pounds of each should he buy?
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Question 419083: Working together, Camry, Kyoko, and Priscilla can dig a drainage ditch in 2.5 hours. Working alone, Priscilla can do it in 5 hours, while Camry can do it 3/4 hour faster than Kyoko. Ho long will it take Kyoko to dig the ditch by herself? (Round the answer to 2 decimal places.)
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Question 419177: trains a and b are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train b is traveling at 44 miles per hour. Train A passes a station at 4:20 am. If train b passes the same station at 4:50am, at what time will train b catch up to train a
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Question 419207: trains a and b are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train b is traveling at 44 miles per hour. Train A passes a station at 4:20 am. If train b passes the same station at 4:50am, at what time will train b catch up to train a''.
what time will train b catch up to train a??

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Question 419207: trains a and b are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train b is traveling at 44 miles per hour. Train A passes a station at 4:20 am. If train b passes the same station at 4:50am, at what time will train b catch up to train a''.
what time will train b catch up to train a??

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Question 419295: Kansas City is 500 miles from Nashville. Sandy left Kansas City, traveling toward Nashville at an average speed at 50 miles per hour. One hour later, Shelly left Nashville travleing toward Kansas City at an average speed of 40 miles per hour. How long after Sandy left Kansas City will they meet?
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Question 419350: Jonathan can type a 20 page document in 40 minutes, susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document?
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Question 419350: Jonathan can type a 20 page document in 40 minutes, susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document?
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Question 419823: Movie tickets cost $5 for children, $8 for adults and $4 for seniors. The theater earned $1890 in a day. Five times as many adults attended as seniors. Twice as many children attended as seniors. Set up and solve a system of equations, to find how many of each type of ticket was sold.
Any help would be greatly appreciated!!

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Question 420118: Ten times the first number exceeds the second by five.
Represent the numbers by n and 7n + 19.
Find the numbers.
(I dont know how to set up the equation to solve)

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Question 420132: to gain access to his account, a customer using an ATM must enter a four-digit code. if repitition of the same four digits are not allowed, how many possible combinations are there?
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Question 420400: A class has 29 students
16 of the students are girls
What fraction of the students are boys?

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Question 420402: Burning Calories During strenuous exercise an athlete can burn 9 calories per minute on a stationary bicycle and 11.5 calories per minute on a stair climber. In a 30-minute workout an athlete burns 300 calories. How many minutes does the athlete spend on each type of exercise equipment?
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Question 420656: The product of 2 numbers is 36.
The quotient of the numbers is 1
What are the numbers
6 and 1 ?

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Question 420682: THE SUM OF A NUMBER AND THE DIFFERENCE BETWEEN 16 AND A NUMBER PLUS 5 IS 21
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Question 420702: FIND THREE CONSECUTIVE ODD INTEGERS SUCH THAT THREE TIMES THE SECOND MINUS THE THIRD IS 17 MORE THAN THE FIRST.
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Question 420633: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and Train B is traveling at 100 miles per hour. Train A passes a station at 9:20 am. If Train B passes the same station at 9:32 am, at what time will Train B catch up to Train A?
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Question 420750: Here is a problem that all my helpers say is not solvable, as do I.
Teacher says all problems are solvable
Three people own company shares. A and B together own 1/2, A and C own 1/3,
B and C own 1/5. What fraction do each own?
Can it be solved?
Thanks.

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Question 420886: If gas is: $3.739 per gallon, how many gallons of gas would I get for $20?
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Question 420955: The high school band has 12 more girls than boys. The band has a total of 106 students. How many girls are in the band?

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Question 421057: Suppose 8 bacterium land in an open cut in your hand and double every 15 minutes.
What would the Next=Now equation be?
What would the y= equation be?

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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