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

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Question 1208942: The speed of a moving walkway is typically about 2.5 feet per second. Walking on such a moving walkway, it takes Judy a total of 40 seconds to travel 50 feet with the movement of the walkway and then back against the movement of the walkway. What is Judy's normal walking speed?

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Question 839898: The Gare Montparnasse train station in Paris has a high-speed version of a moving walkway. If he walks while riding this moving walkway, Jean Claude can travel 200 meters in 30 seconds less time than if he stands still on the moving walkway. If Jean Claude walks at a normal rate of 1.5 meters per second, what is the speed of the Gare Montparnasse walkway?
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Question 839898: The Gare Montparnasse train station in Paris has a high-speed version of a moving walkway. If he walks while riding this moving walkway, Jean Claude can travel 200 meters in 30 seconds less time than if he stands still on the moving walkway. If Jean Claude walks at a normal rate of 1.5 meters per second, what is the speed of the Gare Montparnasse walkway?
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Question 1208971: A sugar molecule has twice as many atoms of hydrogen as it does oxygen and one more atom of carbon than oxygen. If a sugar molecule has a total of 45 atoms, how many are oxygen? How many are hydrogen?
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Question 1208983: A triangle with sides of 21 cm, 72 cm and 75 cm is cut into parts that form a quadrilateral. Find, in cm2, the area of the largest quadrilateral that can be formed.

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Question 1208996: ABCD is a trapezoid in which AD: BC=3:5. If the area of
triangle AMD is 315 cm2, find the area of the trapezoid is, in cm2.
https://ibb.co/HTrxtP9

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Question 1208996: ABCD is a trapezoid in which AD: BC=3:5. If the area of
triangle AMD is 315 cm2, find the area of the trapezoid is, in cm2.
https://ibb.co/HTrxtP9

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Question 1208995: Three curtain rods, each with diameter 12 cm, are bound together by a band, as illustrated. Find the length of the band, in cm.
https://ibb.co/7RYPk8f

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Question 1208998: Football Word Problem

A tight end can run the 100-yard dash in 12 seconds. A defensive back can do it in 10 seconds. The tight end catches a pass at his own 20-yard line with the defensive back at the 15-yard line. If no other players are nearby, at what yard line will the defensive back catch up to the tight end?
Hint: At time t = 0, the defensive back is 5 yards behind the tight end.

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Question 1209012: If an archer shoots an arrow straight upward with an initial velocity of 160 ft/sec from a height of 8 ft, then its height above the ground in feet at time t in seconds is given by the function h(t) = -16t^2 +160t + 8

1. What shape would this function make when graphed? How do you know?

2. Will this shape have an obvious minimum value, an obvious maximum value, neither, or both? How do you know?

3. Where in the graph would you find the “optimal” value (either highest or lowest value)? Find, through calculation, the t-coordinate for that “optimal” value.

4. Find, through calculation, the h(t)-coordinate for the “optimal” value?

5. Interpret the results from Step 3 and Step 4. (I.e., what do those numbers mean?)

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Question 1209137: The year he turned 18, Thomas Edison invested $200,000 at 0.8% compounded hourly. How much money would the account have now? Explain all steps. Be sure to include an explanation of how you found out when Edison turned 18 and how you calculated n. Part of the credit is for your explanation. It should be thorough.

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Question 1209160: A 1 m high stake casts a shadow 3.5 m long. Find the height of a tree, in m, that casts a shadow 38.5 m long (at the same time and place).

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Question 1209198: Hi
It took a train 65 seconds from starting to cross an iron bridge of length 1440m to completely pass over the bridge. It also took the train 75 seconds from when it entered a 1680m tunnel to completely pass through the tunnel.
Find the length and speed of the train.

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Question 1209198: Hi
It took a train 65 seconds from starting to cross an iron bridge of length 1440m to completely pass over the bridge. It also took the train 75 seconds from when it entered a 1680m tunnel to completely pass through the tunnel.
Find the length and speed of the train.

Click here to see answer by math_tutor2020(3816) About Me 
Question 1209198: Hi
It took a train 65 seconds from starting to cross an iron bridge of length 1440m to completely pass over the bridge. It also took the train 75 seconds from when it entered a 1680m tunnel to completely pass through the tunnel.
Find the length and speed of the train.

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

Question 1209211: What is the greatest power of 11 that divides into 2894!, with no remainder?

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Question 1209214: The radical sqrt%28%2880%29%2Bsqrt%281776%29%29 can be expressed as sqrt%28a%29+%2Bsqrt%28b%29, where a < b. What is the product "ab"?
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Question 1209214: The radical sqrt%28%2880%29%2Bsqrt%281776%29%29 can be expressed as sqrt%28a%29+%2Bsqrt%28b%29, where a < b. What is the product "ab"?
Click here to see answer by ikleyn(52756) About Me 
Question 1209214: The radical sqrt%28%2880%29%2Bsqrt%281776%29%29 can be expressed as sqrt%28a%29+%2Bsqrt%28b%29, where a < b. What is the product "ab"?
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Question 1209212: Simplify the following equation in the image:
https://ibb.co/5K1GC71

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Question 1209213: If ab%5E2c%5E4=2430000, where a, b and c are distinct positive integers greater than 1, What is the greatest possible value of a+b+c?

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Question 1209213: If ab%5E2c%5E4=2430000, where a, b and c are distinct positive integers greater than 1, What is the greatest possible value of a+b+c?

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Question 1209223: Find the difference if (y-x) if 6x+%2B+5y+%2B+sqrt%286x+%2B+5y%29+=72 and 3x+-+4y+%2B+sqrt%283x+-+4y%29+=30
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Question 1209222: If a,b and c are positive integers, find the sum a+b+c if:
a%5E3b%5E2c+=+3528%2C+ab%5E3c%5E2+=+55566 and a%5E2bc%5E3+=+20412.

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Question 1209232: Determine voltage drop from the following:

A #9 copper wire electric line, 200 ft. in length, providing a 1000 watt high intensity security light.
Not sure how to solve.

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Question 1209265: In one month a store sold pads of paper, some for $14, some for $5 and some for 50¢. A total of 54 pads were sold for a total of $54. Evaluate the total number of the 50¢ pads sold minus the number of $5 pads sold.

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Question 1209265: In one month a store sold pads of paper, some for $14, some for $5 and some for 50¢. A total of 54 pads were sold for a total of $54. Evaluate the total number of the 50¢ pads sold minus the number of $5 pads sold.

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Question 1209276: Ben and Peter start off together on a 18 km hike. Ben walks 3 times as fast as Peter, and when he comes to the end of the hike he turns around and walks back to meet Peter. How far, in km, has Peter walked when they meet?

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Question 1209275: On a day when visibility was limited to 2500 m, a ship of the Blue Line was traveling west, on a parallel course to a ship of the White Line traveling east, with the courses 700 m apart. The Blue Line ship's velocity was 10 km/h. If the ships were in sight of each other for 20 minutes, what was the velocity, in km/h, of the White Line ship?

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Question 1209275: On a day when visibility was limited to 2500 m, a ship of the Blue Line was traveling west, on a parallel course to a ship of the White Line traveling east, with the courses 700 m apart. The Blue Line ship's velocity was 10 km/h. If the ships were in sight of each other for 20 minutes, what was the velocity, in km/h, of the White Line ship?

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Question 1207673: The American Association of Individual Investors publishes an annual guide to the top mutual funds (The Individual Investor’s Guide to the Top Mutual Funds, 22e, American Association of Individual Investors, 2003).
The total risk ratings for 29 categories of mutual funds are as follows.
Total Risk Number of Fund Categories
Low 7
Below Average 6
Average 3
Above Average 6
High 7

a. Let x ‹ 1 for low risk up through x ‹ 5 for high risk, and develop a probability distribution for level of risk.
b. What are the expected value and variance for total risk?
c. It turns out that 11 of the fund categories were bond funds. For the bond funds, seven categories were rated low and four were rated below average.Compare the total risk of the bond funds with the 18 categories of stock funds.

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Question 1209266: Find the number of possible values of p so that 4x2+ px-9 can be factored as the product of two integral first degree polynomials.

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Question 1200799: the Europian Union (EU) would like to resettle 753 ukranian families stranded in poland where they were temporary being hosted as a result of war in their home country. the EU interviewed each family to determine the country they prefer to resettle in, it was discovered that: 241 families prefer to resettle in Germany (G), 337 families prefer to resettle in France (F), 332 prefer to resettle in Netherland (N), 72 families prefer to resettle in France and Germany, 83 families prefer to resettle in France and Netherland, 240 families prefer to resettle in france only and 135 prefer Germany only. draw a venn diagram to demonstrate the information. a).How many families prefer (N) only, b).How many families prefer to stay in (N) and (G), c).How many families prefer to resettle in either (N) or (G) but not (F)
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Question 1200647: Average Daily Balance:
Amount; $1928 (Previous Balance)
Interest Rate; $19.74% (yearly)
30 Days in Billing Cycle
$150 payment on 15th of month
Explain how to calculate.

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Question 1209287: Hi
The number of students with cavities is 6 more than the number without cavities. When 1/8 of the number with cavities was treated they totaled the same number as the students without cavities. How many of the original group of students have cavities and do not have cavities.

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Question 1209287: Hi
The number of students with cavities is 6 more than the number without cavities. When 1/8 of the number with cavities was treated they totaled the same number as the students without cavities. How many of the original group of students have cavities and do not have cavities.

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Question 1209287: Hi
The number of students with cavities is 6 more than the number without cavities. When 1/8 of the number with cavities was treated they totaled the same number as the students without cavities. How many of the original group of students have cavities and do not have cavities.

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Question 1209287: Hi
The number of students with cavities is 6 more than the number without cavities. When 1/8 of the number with cavities was treated they totaled the same number as the students without cavities. How many of the original group of students have cavities and do not have cavities.

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Question 1200119: The Rajdhani express (12437) running from Secunderabad Jn to H Nizamuddin Jn has one AC first-class coach (1A), five AC second-class (2A) coaches, and nine AC third-class (3A) coaches. Each of the 1A, 2A, and 3A coaches has a maximum capacity of 18 berths, 48 berths, and 64 berths respectively. On a given day, 10 1A berths, half of the 2A berths, and 275 3A berths were filled.
1)What is the percentage of berths filled in the train on the given day?
2)What is the relative frequency of 3A berths among total berths unfilled in the train on the given day?

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Question 1209151: melinda invests her $80,000 winnings from publishers clearing house at a 2% annual percentage rate. find the amount of the investment at the end of 20 years and the amount of interest earned during the 20 years if the interest is compounded.
a. annually
b. quarterly
c. monthly
d. daily

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Question 1209145: The year he turned 18, Thomas Edison invested $200,000 at 0.8% compounded hourly. How much money would the account have now? Explain all steps. Be sure to include an explanation of how you found out when Edison turned 18 and how you calculated n. Part of the credit is for your explanation. It should be thorough.
1. How much money would be in the account now in 2024 at 0.8% compounded hourly.

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Question 1198084: QUESTIONS:
https://imagizer.imageshack.com/img924/1530/bpFkzk.png
https://imagizer.imageshack.com/img924/1285/mKE8Av.png
DATA SHEETS:
https://imagizer.imageshack.com/img922/4619/27aotS.png
https://imagizer.imageshack.com/img924/6378/ak6tFr.png

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Question 1198086: DATA QUESTIONS:
https://imagizer.imageshack.com/img924/2199/1BaYnT.png
https://imagizer.imageshack.com/img922/8400/qtW6y8.png
DATA:
https://imagizer.imageshack.com/img924/2436/qv3SED.png
https://imagizer.imageshack.com/img924/5073/8hMmfB.png

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Question 1197974: PICTURE FOR PROBLEM https://imagizer.imageshack.com/img923/3996/7mODCn.jpg
Will your flight get you to your destination on​ time? To the right are a histogram and summary statistics for the percentage of delayed arrivals each month from 2001 thru 2006. Consider these data to be a representative sample of all months. There is no evidence of a time trend.​ (The correlation of Flights Delayed​ % with time is r​=-0.012.)
​b) Find a​ 99% confidence interval for the true percentage of flights that arrive late.

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Question 1209331: Hi
Find the value of 1-2+3-4+5-6+.....+2007-2008+2009-2010+2011.

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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