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

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Question 1040775: In a plane,the distance between points X and Y is 10 the distance between points X and P is 3, and the distance between points Y and Q is 4 which of the following CANNOT be the length of PQ?
A) 2
B) 3
C) 15
D) 17

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

Question 1040861: Andy wanted to go shopping, but didn't have very much money for what he wanted. He did, however, spend $17 on a shirt, 1/4 of the remaining amount on shoes, $741 on a jacket, $2000 on a horse, 1/4 of the remaining amount on a saddle, 4/5 of rest of his money on horse grain, and $150 for one month's board for the horse. He was left with nothing. How much money did he spend?
Click here to see answer by jorel555(1290) About Me 

Question 1040893: Ben was in charge of ordering 32 pizzas for the office party. He ordered three types of pizza: Cheese, pepperoni and supreme. The cheese pizza cost $7 each, the pepperoni pizza cost $10 each, and the supreme pizza cost $13 each. He spent exactly twice as much on the pepperoni pizzas as he did on the cheese pizzas. If Ben spent a total of $314 on pizza, how many pizzas did he order?
Click here to see answer by Fombitz(32388) About Me 
Question 1040893: Ben was in charge of ordering 32 pizzas for the office party. He ordered three types of pizza: Cheese, pepperoni and supreme. The cheese pizza cost $7 each, the pepperoni pizza cost $10 each, and the supreme pizza cost $13 each. He spent exactly twice as much on the pepperoni pizzas as he did on the cheese pizzas. If Ben spent a total of $314 on pizza, how many pizzas did he order?
Click here to see answer by jorel555(1290) About Me 

Question 1040925: The length of one leg of a right triangle is 8 ft. The length of the hypotenuse is 4 feet longer than the other leg. Find the length of the hypotenuse and the other leg
Click here to see answer by ikleyn(52754) About Me 

Question 1040924: The length of one leg of a right triangle is 88 ft. The length of the hypotenuse is 44 feet longer than the other leg. Find the length of the hypotenuse and the other leg
Click here to see answer by ikleyn(52754) About Me 

Question 1040926: A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 6 ft shorter than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 3 ft less than the length of the​ ladder?
Click here to see answer by josgarithmetic(39613) About Me 
Question 1040926: A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 6 ft shorter than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 3 ft less than the length of the​ ladder?
Click here to see answer by MathTherapy(10549) About Me 

Question 1040914: the speed of a child riding a merry-go-round at a carnival is given by the equation v= square root 11r, where v is the speed in feet per minutes and r is the distance in feet from the center of the merry-go-round. if the child is moving at 16 ft/min, how far is the child from the center of the merry-go- round?

Click here to see answer by Fombitz(32388) About Me 

Question 1040639: Richard Gomes pays 25% custom duty on a computer which costs Rs. 10000 in U.S.A For how much should he mark it , if he desires a profit of 30% after allowing two successive discounts of 15% and 10% on the marked price . Find also the selling price correct to nearest rupee.

Click here to see answer by Theo(13342) About Me 

Question 1041038: 355 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled .$646.50. How many children and how many adults swam at the public pool that​ day?
Click here to see answer by jorel555(1290) About Me 

Question 1041033: The distance an object falls varies directly with the square of the time it spends falling. If a ball falls 44.1 meters after falling for 3 ​seconds, how far will it fall after 5 ​seconds?
Click here to see answer by Fombitz(32388) About Me 

Question 1041032: The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its​ height, and inversely as the length of the beam. A beam 14 feet​ long, with a width of 6 inches and a height of 4 inches can support a maximum load of 900 pounds. If a similar board has a width of 8 inches and a height of 5 ​inches, how long must it be to support 1400 ​pounds?
Click here to see answer by Fombitz(32388) About Me 

Question 1041042: the pressure exerted by a certain liquid at a given point varies directly as the depth of the point beneath the surface of the liquid.the pressure at 60 feet is 360 pounds per square inch. what is pressure at 30 feet?
Click here to see answer by ikleyn(52754) About Me 

Question 1040945: what is the answer to this question?
Find three consecutive odd positive integers such that 2 times the sum of all three is 7 than the product of the first and second integers.
The smallest odd integer is ___
The next consecutive odd integer is ___
The third consecutive odd integer is ___

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

Question 1041066: A water pipe is in the shape of a circular tube(cylinder)with a portion cut out. The dimensions of the pipe have a height 10 inches with the thickness of 4 inches(not including the circular tube). If the volume of the figure is 800pie cubic inches, what is the radius r of the circular tube in inches?
Click here to see answer by addingup(3677) About Me 

Question 1041108: In a test, all questions were of equal value of 1 mark. If you answered 9 of the first 10 questions correctly, but only 3/10 of the remaining questions correctly, you would have scored 50% for the whole test. If let x be the number of questions in the test, make an equation and find x.
I'm not sure how to make the equation, please help. I found that the score of the remaining questions is 3/10 (x-10).

Click here to see answer by Fombitz(32388) About Me 

Question 1041124: 1. A rectangle has a perimeter of 22 feet. A new rectangle is formed by doubling the width w and tripling the length. The new rectangle has a perimeter of 58 feet. What is the width and the length of the original rectangle?
2. An online music store allows people to download a single song or an entire album. All single songs cost the same and all albums cost the same. You pay $22.94 to download 5 songs and 1 album. The next time you pay $31.95 to download 3 songs and 2 albums. How much does the store charge for a song? for an album?
3.It costs $1.99 to purchase boxes of pencils and 2.99 to purchase boxes of pens. If it costs $30.87 for 13 boxes how many would you need to get of each?
4. The length of a rectangle is 4 inches longer than 2 times it’s width. If the perimeter is 20 inches what is its length?




Click here to see answer by Boreal(15235) About Me 
Question 1041124: 1. A rectangle has a perimeter of 22 feet. A new rectangle is formed by doubling the width w and tripling the length. The new rectangle has a perimeter of 58 feet. What is the width and the length of the original rectangle?
2. An online music store allows people to download a single song or an entire album. All single songs cost the same and all albums cost the same. You pay $22.94 to download 5 songs and 1 album. The next time you pay $31.95 to download 3 songs and 2 albums. How much does the store charge for a song? for an album?
3.It costs $1.99 to purchase boxes of pencils and 2.99 to purchase boxes of pens. If it costs $30.87 for 13 boxes how many would you need to get of each?
4. The length of a rectangle is 4 inches longer than 2 times it’s width. If the perimeter is 20 inches what is its length?




Click here to see answer by JoelSchwartz(130) About Me 

Question 1040966: In an integrated science class of 76 students, 8 are chemistry-education; 3 physics-education; 39 biology-education; and 26 mathematics-education. What is the probability of drawing a:
a. Biology-education students from the pool?
b. Chemistry or physics-education students from the pool?
c. Mathematics or Physics-education student from the pool?

Click here to see answer by jorel555(1290) About Me 

Question 1041141: On a college entrance test there are 55 questions. You must answer 70% of those questions correctly to be considered for the program. How many questions mus you answer correctly?
Click here to see answer by stanbon(75887) About Me 

Question 1041138: A real estate salesperson bought promotional calendars and date books to give to her customers at the end of the year. The calendars cost ​$0.40 ​each, and the date books cost ​$0.50 each. She ordered a total of 500 promotional items and spent ​$210. How many of each item did she​ order?
Click here to see answer by stanbon(75887) About Me 

Question 1041146: Ralph can lay down a floor tile in 5 seconds. Bob can lay down a floor tile in 4 seconds. If both boys work together, how many seconds would it take them to install 450 floor tiles?
Click here to see answer by stanbon(75887) About Me 
Question 1041146: Ralph can lay down a floor tile in 5 seconds. Bob can lay down a floor tile in 4 seconds. If both boys work together, how many seconds would it take them to install 450 floor tiles?
Click here to see answer by MathTherapy(10549) About Me 
Question 1041146: Ralph can lay down a floor tile in 5 seconds. Bob can lay down a floor tile in 4 seconds. If both boys work together, how many seconds would it take them to install 450 floor tiles?
Click here to see answer by ikleyn(52754) About Me 

Question 1041162: The base of a triangle is 4 cm greater than the height. The area is 48cm^2. Find the height and base of the triangle.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1041195: Hi
sam had some money. He used 2/3 of it to buy a watch and 3/4 of the remainder on a wallet.if the watch was 65 dollars more than the wallet
how much does he have left
how much did he have at first
thanks

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

Question 1040967: A coin is thrown twice. The sample space is
S = (HH, HT, TH, TT,)
A = (HH, HT), B = (HT, TT)
Find the probability of A, B, AB and A+B.

Click here to see answer by robertb(5830) About Me 

Question 1041279: Facebook reported that for one three month period, approximately 2.1 billion photos were uploaded to their site each week. that averages out to about 3500 photographs per second. at that rate , how many photographs are uploaded per hour
Click here to see answer by josmiceli(19441) About Me 

Question 1041313: *The distance between two piers is s miles. Two boats started moving at the same time with the speeds R and F. How will you find the distance d between them if they travelled for t hours:
a) Towards each other
b) In opposite directions
c) In the same direction if the first is slower
d) In the same direction if the first is faster

Click here to see answer by ikleyn(52754) About Me 
Question 1041313: *The distance between two piers is s miles. Two boats started moving at the same time with the speeds R and F. How will you find the distance d between them if they travelled for t hours:
a) Towards each other
b) In opposite directions
c) In the same direction if the first is slower
d) In the same direction if the first is faster

Click here to see answer by josgarithmetic(39613) About Me 

Question 1041297: The sum of the squares of two numbers is 1130 while the square of their sum is 1849. Find the two numbers.
Click here to see answer by ikleyn(52754) About Me 

Question 1041250: The whole surface of a rectangle solid is 448sq. cm. The length of the solid is twice its breadth and the height is half its breadth. Find the volume of the solid.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1041333: 2/5 / 1 3/5
First convert to decimal and then divide.
I tried got 0.24 for decimal but what do I divide it with.

Click here to see answer by josgarithmetic(39613) About Me 
Question 1041333: 2/5 / 1 3/5
First convert to decimal and then divide.
I tried got 0.24 for decimal but what do I divide it with.

Click here to see answer by rothauserc(4718) About Me 

Question 1041639: The speed of a stream is 2 mph. A boat travels 8 miles upstream in the same time it takes to travel 12 miles downstream. What is the speed of the boat in still​ water?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1041643: A swimming pool can be filled in 18 hours if water enters through a pipe​ alone, or in 23 hours if water enters through a hose alone. If water is entering through both the pipe and the​ hose, how long will it take to fill the pool 5/6 full?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1041642: Suppose that a small pump can empty a swimming pool in 60 hours and that a large pump can empty a pool in 20 hours. Working​ together, how long will it take to empty the​ pool?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1041640: A paddle boat can move at a speed of 2 ​km/h in still water. The boat is paddled 6 km downstream in a river in the same time it takes to go 3 km upstream. What is the speed of the​ river?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1041641: Set up the equation which would be used to solve the following problem. Do not actually solve the equation.
Working​ alone, a person A can paint a room in 6 hr. Person B can paint the same room working alone in 8 hr. How long will it take them if they work​ together? (Let t represent the time they work​ together.)
Find an the equation for the time it would take for person A and person B to paint the room together.

Click here to see answer by josgarithmetic(39613) About Me 
Question 1041641: Set up the equation which would be used to solve the following problem. Do not actually solve the equation.
Working​ alone, a person A can paint a room in 6 hr. Person B can paint the same room working alone in 8 hr. How long will it take them if they work​ together? (Let t represent the time they work​ together.)
Find an the equation for the time it would take for person A and person B to paint the room together.

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

Question 1041827: Solve n=m-1/6 for m.
Click here to see answer by Fombitz(32388) About Me 

Question 1041895: Hooke's Law. The distance d when a spring is stretched by a hanging object varies directly as the weight w of the object. If the distance is 35 cm when the weight is 2 ​kg, what is the distance when the weight is 6 ​kg?
write an integer or decimal rounded to three decimal places as​ needed

Click here to see answer by josgarithmetic(39613) About Me 

Question 1041894: In a certain​ fraction, the denominator is 9 less than the numerator. If 4 is added to both the numerator and​ denominator, the resulting fraction is equal to 5/2.
Find the original fraction.

Click here to see answer by josgarithmetic(39613) About Me 

Question 1041941: Joe had saved $264. He spent 3/8 of that to buy a camera. How much did the camera cost?
Click here to see answer by Alan3354(69443) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690