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

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Question 596865: Please help me solve.
A gardner is lawn mowing a series of front yards. By 11:00 am, he had mowed 9 houses and by 1:30 pm he had completed 14.
a. Find his mowing rate in number of houses per hour.
b. Find his mowing rate in minutes per house.

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Question 597148: What is 7x3? I hope you are a girl.
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Question 597148: What is 7x3? I hope you are a girl.
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Question 597305: Two numbers differ by 27. If their sum is 99, find the numbers.
(I think the question got cut off after "the sum is 99,", so I got really confused. Is it possible to do this question?)

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Question 597303: Dividing a number by 3 is the same as subtracting 10 from twice the number. What is the number?
What I've done:
Let x be a number.
x / 3 = 2x - 10
(multiply 3 on both sides)
x = 2x - 30
(subtract 2x from each side)
-x = -30
(divide both sides by -1)
x = 30
Is this correct?

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Question 597303: Dividing a number by 3 is the same as subtracting 10 from twice the number. What is the number?
What I've done:
Let x be a number.
x / 3 = 2x - 10
(multiply 3 on both sides)
x = 2x - 30
(subtract 2x from each side)
-x = -30
(divide both sides by -1)
x = 30
Is this correct?

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Question 597301: When a number is increased by 25, the answer is the same as doubling the sum of the number and 1. What is the number?
What I've done:
Let x be a number.
X + 25 = 2x + 1
(subtract 1 from both sides)
x + 24 = 2x
(subtract x from both sides)
24 = x
The number is 24.
Is this correct?

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Question 597412: Last week sixth period had 30 students complete all their homework this week all 37 student did there homework to the nearest percent calculate the percent of increase
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Question 597437: How far from the fulcrum of a teeterboard must an 80-pound boy sit to balance a 50-pound boy who is 4 feet from the fulcrum?
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Question 597103: DATE: May 29 TIME: 3:39AM
If you add Beth’s weight (in pounds) to her length (in inches), then you will get 2 less than her date of birth (not including the month). If you multiply the difference between her length and her weight by the number of full hours past midnight of her birth, you will get the number of minutes past the hour that she was born. Find her length and her weight,
Any help would be great thanks!

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Question 597551: Given the profit function P(x)=-75x^2+5925x-497250, where x represents the number of units produced and P(x) represents the profit in dollars, determine the break even values.
Please help with this word problem. I got so far and it was wrong and still redid the same. I missed this on an exam and really want to understand it.

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Question 597599: Find the domain of f(x)=x+6/x^2-4
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Question 597542: a total of 1200 yards of fencing is to be used to enclose a rectangular part of lot that boders a river. No fence is needed along the river.
a)write the equation that gives the relationship between the length, the width and the 1200 yards of fencing available.
b)the formula for the area of a rectangle(as the one enclosed by the fencing) is given by A=lw, where l is the length and w is the width. Solve the equation found in part(a) for l, and then use the result to write the area in terms of w only.
c)make a table with at least 6 possible values of the width w and the associated area A.
d)from the pattern found in part (c), what is the largest possible area that can be enclosed by 1200 yards of fencing?
e)find the maximum area that can be enclosed.
I really need help with this question, i am struggling badly with math. Please help me. Thank you for your time and effort.
marisol

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Question 598171: A small university surveyed 77 of its freshmen business students. the students were asked whether they read Business Week (BW), The Wall Street Journal (WSJ), or Fortune. The results of the survey are below:
25 of the students read BW
27 do not read Fortune
19 read The WSJ
9 read all three
13 read BW and Fortune
11 read BW, but not The WSJ
11 read The WSJ and Fortune.
a. Create the Venn Diagram associated with this problem.
b. How many students read Fortune only?
c. How many students read either Business Week or Fortune?
Please and Thank you. :)

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Question 598290: Simone has placed 18 dimes in a row on a table. Always starting from the left, first she exchanges each third coin for a quarter; then she exchanges each second coin for a nickel; and finally, she exchanges each ninth coin for a penny.
In cents, how much money does Simone have after the final exchange?

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Question 598359: Ohm’s Law relates to a simple electric circuit and states:

One circuit has a resistance of 8 ohms when the voltage is 48 volts and the current is 6 amperes. What is the resistance of a second circuit that has a
voltage of 128 volts and a current of 8 amperes?

the resistance is directly proportional to the voltage and inversely proportional to the current.

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Question 598559: The strontium-90 in a nuclear reactor decays continuously. If 200 mg is present initially, the amount present after t years is given by A(t)=200e^-0.0248t. Find, to nearest hundredth, the amount letft after 50 years.
I really could use some help with this word problem. I would greatly appreciate your help and I thank you.

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Question 598841: a group of students decided to purchase a tv ranging from 170 to 195 $. but at the last moment, two students backed out of the decision so that the remaining students had to pay 10 $. more than they had planned. find the cost of the tv if the amount has been shared equally among the students.
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Question 599356: the function given by f(x)=3x
converts x yards to feet
a. is f a one-to-one function? why or why not?
b. Find f-1(x) and interpet what it calculates
(the -1 actually looks like a negative 1 exponent but I couldnt figure out to type it in that way

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Question 599432: If a stone is thrown upward from a height of 8.25 feet with an initial velocity of 64 feet per second, how long does it take for the stone to fall to the ground? Give answer to the nearest one-hundredth. (Formulas: ; where h represents final height, is initial velocity, t is time and is the initial height)
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Question 599460: Please help me solve this problem: one angle of a linear pair is 10 more than two-thirds the other angle. Find both angles.
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Question 599480: Negate :-

1- it is not raining and it is not snowing.
2- x is greater then y .

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Question 599515: If a water tank takes 5 minutes to fill and 7 minutes to empty.If the drain is left open when being filled, how long dose it take to fill the tank.
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Question 599674: it's been awhile since I've worked out story problems, my step daughter came home today with some and I'm hoping I could get some help refreshing my memory how they are done,so I can help her.I vaguely remember using a box to solve, any how here is the first one.
Admission to a baseball game is $3.00 for general admission and $6.00 for reserved seats. The receipts were $3561.00 for 868 paid admissions. how many of each ticket were sold?

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Question 599901: If X units of a product cost c dollars to manufacture and earn revenue of R dollars the value of X where the expressions for C and R are equal is called the break-even quantity the number of units that produce zero profit. Find the break - even quantity when C=13x+80000 and R=18X.
How many units must be produced and sold in order to break even?

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Question 600270: 5 people take 55 minutes to finish a job, if all people work at the same rate 11 people should finish the same job in
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Question 600276: the school cafeteria needs to buy no more than 28 pounds of apples. A supermarket sell 4-pounds and 7-pounds of apples. write and graph inequality showing the number of 4-pound and 7-pound bags of apples the cafeteria can buy
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Question 600376: A kitchen floor is 3 feet longer thann it is wide. The area of the floor is 180 square feet. Find the demensions of the kitchen.


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Question 600376: A kitchen floor is 3 feet longer thann it is wide. The area of the floor is 180 square feet. Find the demensions of the kitchen.


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Question 600073: How can you write 24 with three equal digits, none of them being 8?
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Question 600821: Myra bought a chair for $400 and sold it for $800. What is the percentage of gain.
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Question 600760: local flower want to charge you $7.00 for the vase and $1.25 for each flower you put in the vase.You only have $27.00.Hw many flowers cn you buy?

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Question 601064: A cooler is 60 cm long, 24 cm wide, and 30 cm tall. What is the capacity in liters?
A. 4.32
B. 43.2
C. 432
D. 43,200


Thank you!

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Question 601293: At a certain time, Janice notices that her digital watch reads a minutes after two o’clock. Fifteen minutes later, it reads b minutes after three o’clock. She is amused to note that a is six times the value of b. What time was it when she looked at her watch for the second time?
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Question 601296: A box containing 3 oranges, 2 apples, and one banana weighs 15 units. Another box containing 5 oranges, 7 apples, and 2 bananas weighs 44 units. A third box containing 1 orange, 3 apples, and 5 bananas weighs 26 units. How much does each fruit weigh?
Please help.

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Question 601349: The highest mountain peak in the world is Mt. Everest, located in the Himalayas. The height of this enormous mountain was determined in 1856 by surveyors using trigonometry long before the mountain was first climbed in 1953. This difficult measurement had to be done from a great distance. At an altitude of 14,545 feet on a different mountain, the straight line distance to the peak of Mt. Everest is 27.0134 miles and its angle of elevation is 5.52 degrees. Approximate the height in feet of Mt. Everest. (1 mile = 5280 feet).
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Question 601367: If the number of white owls in Illinois has decreased from 750 to 500 in 10 years, approximate the annual rate of decrease within 3 decimals.
I really struggle with the word problems, would appreciate any help. Thank you.

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Question 601451: A bag contains a total of 20 batteries, of which six are defective. Selecting two at random, without replacement, determine the probability that none of the batteries you select are good. Show all work.
3/5
3/10
3/38
9/100

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Question 601435: How do I find the answer to the following math word problem? "Mila took a trip and drove the first 20 miles at a speed of 50 mph. If she wants her average speed for the entire trip to be 40 mph, how fast should she drive for the last 70 miles of her trip?"

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Question 601435: How do I find the answer to the following math word problem? "Mila took a trip and drove the first 20 miles at a speed of 50 mph. If she wants her average speed for the entire trip to be 40 mph, how fast should she drive for the last 70 miles of her trip?"

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Question 600933: Associate Level Material
Appendix E
Radicals
Application Practice
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
Hint: Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions.
1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on Earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of Earth.
a. Solve the equation for r.
b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the Earth.)
c. Use the value of C you found in the previous question to determine how much the object would weigh in
i. Death Valley (282 feet below sea level).
ii. the top of Mount McKinley (20,320 feet above sea level).
2. The equation gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.
a. Solve this equation for h.
b. Long’s Peak in Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long’s Peak? Can you see Cheyenne, Wyoming (about 89 miles away)? Explain your answer.


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Question 601514: The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 85% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 80 pints of a mixture that is 85% pure fruit juice?
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Question 601373: Determine the pH of saccharin, a sugar substitute, which has H+ concentration of 4.58x10^-7 mol/L.
This one seem to come out of left field! Could I please get some help on this. Thank you.

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Question 601352: Find a nice simple formula for finding what sum is for ANY value n. Explain why it works.
2+4+6+8+...+2n=?

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Question 601678: solve. by checking work records a plumber finds that worker A can do a certain job in 12 hours.worker B can do the same job in 9 hours. how long would it take if they worked together? (algebra)
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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