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

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Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)


Question 1051340: one fifth multiplied by one and four fifth
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1051370: Inequality
Anton has grades of 87 and 76 on his first two biology tests. What does he need on the third test to keep an average of AT LEAST 80.
I know the answer is 77 but I'm not sure what the set up was like.

Click here to see answer by josgarithmetic(39615) About Me 

Question 1051437: Amber and Jennifer bought 24 apples. Using J for Jennifers apples, write an expression for the number of apples Amber bought.
Click here to see answer by ewatrrr(24785) About Me 

Question 1051438: Joey makes $10 per hour for mowing lawns and six dollars an hour for raking lawns. he worked for 15 hours. write an expression for how much money he would make
Click here to see answer by ewatrrr(24785) About Me 

Question 1051384: A painter can paint the interior walls of a house at the rate of 700 ft^2/day. He bid the job at $2500. The house has a total of 6432 ft^2 of walls that must be painted. The materials for the job cost $478.00. What will the painter earn per day for completing the job?
Click here to see answer by jorel555(1290) About Me 

Question 1051462: alice and bonnie start running at the same time from the same point and run in the same direction .Alice runs at 8 mph while bonnie runs at a slower pace. after two hours they are 4 miles apart. Determine the speed that bonnie is running
Click here to see answer by stanbon(75887) About Me 
Question 1051462: alice and bonnie start running at the same time from the same point and run in the same direction .Alice runs at 8 mph while bonnie runs at a slower pace. after two hours they are 4 miles apart. Determine the speed that bonnie is running
Click here to see answer by ewatrrr(24785) About Me 

Question 1051567: Hi
(a/b + b/a)^2 -2 =?
Thanks

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1051579: It takes Jupiter 11.86 Earth-years to orbit the sun. Assuming a circular orbit, what percent of a complete revolution around the sun does Jupiter make in the time it takes the Earth to make one revolution around the sun?
Click here to see answer by Alan3354(69443) About Me 

Question 1051577: The rip-off vending machine company operates coffee vending machines in several office in several office buildings.The company wants to study the relationship that exists between the number of cups of coffee sold per day and the number of persons working in each office.
data for study was collected by the company and presented below:
NUMBER OF CUPS SOLD :10,20,30,40,30,20,40,40,50,10,40,20
NUMBER OF PERSONS : 5, 6,14,19,15,11,18,22,26, 4,23,10
(The above is a table ,each cup sold had has the corresponding number of persons who drank the cups of coffee below it, seperated by a comma)
Question : Predict the number of cups of coffee that you would expect to sell if there are 45 people working in an office?

Click here to see answer by ewatrrr(24785) About Me 

Question 1051556: Tress are planted according to the "square" system, 30 ft. apart each way. A different style, "hexagonal" utilizes more space available (all but 10% of ground is used). Trees are planted by this system 30 ft. apart. Determine number of trees per acre.
Non-homework.

Hexagon has 6 equal sides.
Equilateral triangle has 3 equal sides.
30 * 3 = 90.
39204(10% deducted from 43560) / 90 = 435.6 = 436 trees.
Not sure.



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

Question 1051628: I'm am really not sure where to begin to solve this problem. I know that I should set one side of the equation to 6 1/2. The question is:
In her Job at the post office, Janie works a 6 1/2 hour day. She sorts mail, sells stamps, and does supervisory work. On one day, she sold stamps twice as long as she sorted mail, and sold stamps 1 hour longer that the time she spent doing supervisory work. How many hours did she spend at each task?

Click here to see answer by Boreal(15235) About Me 
Question 1051628: I'm am really not sure where to begin to solve this problem. I know that I should set one side of the equation to 6 1/2. The question is:
In her Job at the post office, Janie works a 6 1/2 hour day. She sorts mail, sells stamps, and does supervisory work. On one day, she sold stamps twice as long as she sorted mail, and sold stamps 1 hour longer that the time she spent doing supervisory work. How many hours did she spend at each task?

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

Question 1051632: Ref. Question 1051556:

"The area of each hexagon is ~ 2338 sq ft
Area = ns^2*cot(180/n)/4 where n = # of sides and s = side length.
---
43560/2338 =~ 18.63 hexagons
Each hexagon is 7 trees, but 6 of them are part of 3 different hexagons "
I don't understand these steps. Thanks.

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

Question 1051505: california has more public libraries in any other state. it has 387 more public libraries then ohio. the total number of public libraries for these states is 1827 find the number of public libraries in california and the number in ohio.
Click here to see answer by jorel555(1290) About Me 

Question 1051533: A new cruise ship line has just launched 3 new​ ships: the Pacific​ Paradise, the Caribbean​ Paradise, and the Mediterranean Paradise. The Caribbean Paradise has 27 more deluxe staterooms than the Pacific Paradise. The Mediterranean Paradise has 21 fewer deluxe staterooms than
twice the number of deluxe staterooms on the Pacific Paradise. Find the number of deluxe staterooms for each of the ships if the total number of deluxe staterooms for the three ships is
538.

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

Question 1051614: The rates of return of an investment portfolio over the past 5 years are: 4.4%, 6.2%, 5.9%,8.2%,7.3%
what is the range of the rate of return?
Solution:
If range is the difference between the lartest and smallest values in a data set
range: 7.3-4.4 = 2.9%
Hello Tutor, please is my answer right ?

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

Question 1051676: Ref. Question 1051556:
I still don't understand how the hexagon area was obtained. Thanks.

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

Question 1051691: Ref. Question 1051566:
"The trees would be 30 ft apart in horizontal rows.
The vertical row spacing is sqrt(675) ft =~ 25.98 feet "
My question; How did you determine the vertical row spacing to be the sqrt of 675? Thanks again.

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

Question 1051795: Hi
jack can complete a task in 12 days. George in 16 days.if they work together, what percentage of the task can they complete in 1 day.
Thanks

Click here to see answer by Boreal(15235) About Me 

Question 1051649: Colin earned $46 raking leaves if he worked 1.5 hours yesterday and 4.25 hours today how much did he earn per hour?
Click here to see answer by solver91311(24713) About Me 

Question 1051836: Find two numbers where three times the smaller number exceeds the larger by 5 and the sum of the numbers is 11.
Click here to see answer by addingup(3677) About Me 

Question 1051843: Hi
Ken and Ivan had some sweets. After ken gave away 5/7 of his sweets, he had 2/3 as many as ivan.
ivan then gave away 120 sweets and he had 1/4 as many sweets as ken. How many did each have at first.
thanks

Click here to see answer by josgarithmetic(39615) About Me 
Question 1051843: Hi
Ken and Ivan had some sweets. After ken gave away 5/7 of his sweets, he had 2/3 as many as ivan.
ivan then gave away 120 sweets and he had 1/4 as many sweets as ken. How many did each have at first.
thanks

Click here to see answer by MathTherapy(10551) About Me 
Question 1051843: Hi
Ken and Ivan had some sweets. After ken gave away 5/7 of his sweets, he had 2/3 as many as ivan.
ivan then gave away 120 sweets and he had 1/4 as many sweets as ken. How many did each have at first.
thanks

Click here to see answer by advanced_Learner(501) About Me 

Question 1051887: A piece of metal is described as follows:
1/m part plus a oz. is brass.
m/n part minus b oz. is copper.
Determine weight of metal piece.

My attempt:
Let w = weight.
Let x = brass.
Let y = copper.
1/m + a = x.
m/n - b = y.
How do I proceed? Non-homework.

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

Question 1051890: Ref. Question 1051887:
" (am+1)/m + (m - bn)/n oz "
I don't understand how you obtained the answer. Thanks.

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

Question 1051865: A coin bank contains only nickels and dimes. The total value of the coins in the bank is $3.50. If the nickels were dimes and the dimes were nickels, the total value of the coins would be $2.50. Find the number of nickels in the bank.
Click here to see answer by ikleyn(52769) About Me 

Question 1051863: Rowing with the current, a canoeist paddled 10 mi in 2 h. Against the current, the canoeist could paddle only 6 mi in the same amount of time.
Find the rate of the canoest in calm water and the rate of the current.

Click here to see answer by ikleyn(52769) About Me 

Question 1051897: Ref. Question 1051887:
Related problem;
A piece of metal 1/3 plus 24 oz. is brass, and 3/4 minus 42 oz. is copper. Determine weight of metal piece.
The statement indicates the problem using letters is a "general solution" for all examples of the same kind.
Thanks.

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

Question 1051898: Ref. Question 1051887:
Of a piece of metal. Maybe that will help.

Click here to see answer by addingup(3677) About Me 

Question 1051864: A baker purchased 11 lb of wheat flour and 13 lb of rye flour for a total cost of $17.19. A second purchase, at the same prices, included 13 lb of wheat flour and 13 lb of rye flour. The cost of the second purchase was $18.59.
Find the cost per pound of the wheat flour and the rye flour.

Click here to see answer by josgarithmetic(39615) About Me 
Question 1051864: A baker purchased 11 lb of wheat flour and 13 lb of rye flour for a total cost of $17.19. A second purchase, at the same prices, included 13 lb of wheat flour and 13 lb of rye flour. The cost of the second purchase was $18.59.
Find the cost per pound of the wheat flour and the rye flour.

Click here to see answer by MathTherapy(10551) About Me 

Question 1051914: If Bill makes 10 trips and delivers b numbers of pizzas each time and Emma makes 8 trips and delivers e number of pizzas each time , what would the equation be that would represent the total number of pizzas delivered that night?
The choices are : 10 + 8
b + e
10b + 8e
10b + 8e/18
I think the answer is 10b + 8e but I'm not posotive could you please help me?

Click here to see answer by MathTherapy(10551) About Me 

Question 1051916: Ref. Question 1051887 Follow-up:
That was the complete problem.
Brass is .308 lbs. / cu. in.
Copper is .323 lbs. / cu. in.

I have been out of school 40 yrs. and am trying to relearn math/algebra on my own. I came across the problem in an introductory algebra book.
Thanks.


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

Question 1051915: Rajesh invested part of his money in planting mango and he got a return of 25% of the money invested in one season. he invested the rest of his money in planting cabbage and he got a return of 20% of the money invested in one season. If his total return(income) from both the investments wAS $2500. Next season he interchanged the investment and got a return of $3000. How much money did Rajesh put into the mango plantation?
Click here to see answer by jorel555(1290) About Me 

Question 1052126: How many proper fractions with a denominator of 100 are there that are reduced to simplest terms?
Click here to see answer by Fombitz(32388) About Me 

Question 1052120: The number of wolves in the wild is decreasing at the rate of 3.5% per year. The community has counted 80 wolves in the area. After how many years will this population of 80 wolves drop below 15 wolves, if this rate of decrease continues?

Click here to see answer by jorel555(1290) About Me 
Question 1052120: The number of wolves in the wild is decreasing at the rate of 3.5% per year. The community has counted 80 wolves in the area. After how many years will this population of 80 wolves drop below 15 wolves, if this rate of decrease continues?

Click here to see answer by advanced_Learner(501) About Me 

Question 1052200: A lasso is being swung around at 10 revolutions per minute. The diameter is 12.4 feet and is swinging 18 inches off of the ground. Find two equations (sin and cos) this relationship.
Click here to see answer by Alan3354(69443) About Me 

Question 1052301: Hi
donald can complete a job in 20minutes.if he has been working on the job for 10 min, then he is joined by sam and the job is finished in another 6 min. How long would it have taken sam to do the job by himself.
thanks

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

Question 1052334: Suppose that during a test drive of two​ cars, one car travels 185 miles in the same time that the second car travels 150 miles. If the speed of one car is 14 miles per hour faster than the speed of the second​ car, find the speed of both cars.
The speed of the first car is
nothing ​mph, and the speed of the second car is
nothing mph.

Click here to see answer by jorel555(1290) About Me 
Question 1052334: Suppose that during a test drive of two​ cars, one car travels 185 miles in the same time that the second car travels 150 miles. If the speed of one car is 14 miles per hour faster than the speed of the second​ car, find the speed of both cars.
The speed of the first car is
nothing ​mph, and the speed of the second car is
nothing mph.

Click here to see answer by ewatrrr(24785) About Me 

Question 1052365: At the bank, Sheila made 6 deposits, each in the same amount. Her sister Sherri made 5 deposits, each in the same amount. Each of Sherri's deposits was $10 more than each deposit Sheila made. Both sisters deposited the same amount in the end. How much did each sister deposit each time?
( a. write the equation. let x represent the amount of one of sheila's deposits.
b. solve the equation.
c. check your solution.
d. state the solution in complete sentences.)

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

Question 1052460: Two hikers are 11 miles apart and walking toward each other. They meet in 2 hours. Find the rate of each hiker if one hiker walks 1.3 mph faster than the other.
Click here to see answer by rajagopalan(174) 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