Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1202181: Use the perimeter formula P=2l+2w to find the length, l, of a rectangular lot if the width, w, is 70 feet and the perimeter, P, is 350 feet.
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Question 1202181: Use the perimeter formula P=2l+2w to find the length, l, of a rectangular lot if the width, w, is 70 feet and the perimeter, P, is 350 feet.
Click here to see answer by josgarithmetic(39616) About Me 
Question 1202194: The area of a rectangle is 45m^2, and the length of the rectangle is 1m more than twice the width. Find the dimensions of the rectangle.
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Question 1202194: The area of a rectangle is 45m^2, and the length of the rectangle is 1m more than twice the width. Find the dimensions of the rectangle.
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Question 1202194: The area of a rectangle is 45m^2, and the length of the rectangle is 1m more than twice the width. Find the dimensions of the rectangle.
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Question 1202194: The area of a rectangle is 45m^2, and the length of the rectangle is 1m more than twice the width. Find the dimensions of the rectangle.
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Question 1202216: Solve the following equation for x. You must show every step to receive credit. I am grading your work as much as I am
grading your answer.
(8)/(4)x-6=4-(1)/(12)x
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Question 1202216: Solve the following equation for x. You must show every step to receive credit. I am grading your work as much as I am
grading your answer.
(8)/(4)x-6=4-(1)/(12)x
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Question 1202217: Mayra has $0.25 in nickels and dimes. The number of dimes is 5 less than twice the number of nickels. Find the number of nickels, n, by solving the equation (you must show work to receive credit for this problem)
0.05n+0.10(2n-5)=0.25
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Question 1202217: Mayra has $0.25 in nickels and dimes. The number of dimes is 5 less than twice the number of nickels. Find the number of nickels, n, by solving the equation (you must show work to receive credit for this problem)
0.05n+0.10(2n-5)=0.25
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Question 1202224: Can you help me write a quadratic equation whose zeros are 8 and 2?
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Question 1202224: Can you help me write a quadratic equation whose zeros are 8 and 2?
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Question 1202278: Dances at the community centre produce revenue R=-60t^2 +600t, where R is the revenue and t the ticket price in dollars. Francine, the manager, found that the expenses, C, for the dances is modelled by C=162 - 120t. Note: Profit P = R- C.
a) Determine the equation to represent the profit.
b) Determine the break-even point (zero profit).
c) Find the maximum profit and the ticket price that yields this profit.
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Question 1202279: Amy dives off a 4-m springboard. Her height above the surface of the water, y, in metres, is related to her horizontal distance, from the end of the board, in metres, by the function
y =x-= + 3x + 4.
a What does the y-intercept of the graph mean in the diving situation?
b) What is Amy's horizontal distance from the board when she enters the water?
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Question 1202280: At what point will f(x) = 3^x exceed g(x) = 2x + 5 and h(x) = x^2 +4?
A. (x,y) = (1,7)
B. (x,y) = (2.4, 9.8)
C. (x,y) = (1.8, 3.7)
D. (x,y) = (2,9)
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Question 1202322: Write the quardratic equation whose roots are 2 and -4 and whose leading coefficient is 3.

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Question 1202322: Write the quardratic equation whose roots are 2 and -4 and whose leading coefficient is 3.

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Question 1202396: There are 120 people who attend a concert. Each adult ticket costs $3.50.
Each child ticket costs $2.00. If the total revenue for the ticket sales was
$324.00, state how many adult tickets and how many children tickets were
sold.
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Question 1202396: There are 120 people who attend a concert. Each adult ticket costs $3.50.
Each child ticket costs $2.00. If the total revenue for the ticket sales was
$324.00, state how many adult tickets and how many children tickets were
sold.
Click here to see answer by josgarithmetic(39616) About Me 
Question 1202397: Find four consecutive odd integers whose sum is 176.
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Question 1202397: Find four consecutive odd integers whose sum is 176.
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Question 1202395: The sum of two consecutive numbers is 145. Find the value of the smaller number.
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Question 1202394: This year, a teacher graded 82 more final exams than last year. If the teacher graded 577 final exams this year, how many final exams did the teacher grade last year?
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Question 1202394: This year, a teacher graded 82 more final exams than last year. If the teacher graded 577 final exams this year, how many final exams did the teacher grade last year?
Click here to see answer by ikleyn(52776) About Me 
Question 1202401: Find three consecutive even numbers whose sum is 1368.
small number =
middle number =
larger number =
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Question 1190598: Determine a, h and k, of the translated function g(x) based from the description, then write the equation of the quadratic function in vertex form.
1.) Vertex: (2,0); point (1,4)
solution:
2.) Vertex: (-3,6); point(-5,2)
solution:
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Question 1170903: The human cannonball is an act where a performer is launched through the air. The height of the performer can be modeled by h(x) = -0.007x^2+x+20, where h is the height in feet and x is the horizontal distance traveled in feet. The circus act is considering a flight path directly over the main tent.
a. How high will the performer be after he’s traveled 53 feet from the cannon?
b. How high will the performer be after he’s traveled 100 feet from the cannon?
c. When the performer is 45 feet in the air, how far has he traveled?
d. When the performer is 25 feet in the air, how far has he traveled?
e. If the performer wants at least 5 feet of vertical clearance, how tall can the tent be?
f. How far should the cannon be from the center pole of the tent to obtain this clearance height?
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Question 1202409: Last year, Brady gave $13,846.76 to his local church. If he makes, $49,102 per year, what percentage of his salary did he give to his local church?
Round answers to the nearest whole number as needed.
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Question 1202409: Last year, Brady gave $13,846.76 to his local church. If he makes, $49,102 per year, what percentage of his salary did he give to his local church?
Round answers to the nearest whole number as needed.
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Question 1202412: Maricopa's Success scholarship fund receives a gift of $105000. The money is invested in stocks, bonds, and CDs. CDs pay 3.25% interest, bonds pay 5.7% interest, and stocks pay 11.5% interest. Maricopa Success invests $35000 more in bonds than in CDs. If the annual income from the investments is $7937.50 , how much was invested in each account?
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Question 1202412: Maricopa's Success scholarship fund receives a gift of $105000. The money is invested in stocks, bonds, and CDs. CDs pay 3.25% interest, bonds pay 5.7% interest, and stocks pay 11.5% interest. Maricopa Success invests $35000 more in bonds than in CDs. If the annual income from the investments is $7937.50 , how much was invested in each account?
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Question 1202433: 8x-12=5x-3
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Question 1202433: 8x-12=5x-3
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Question 1202433: 8x-12=5x-3
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Question 1202436: Jenifer is flying her kite and it gets stuck in a tree. She knows the string on her kite is 13 feet long and she is 5 feet from the tree.
How long of a ladder (in feet) will she need to get her kite out of the tree?
Enter your answer as a decimal rounded to two decimal places.
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Question 1202435: The admission fees at an amusement park are $4.25 for children and $6.00 for adults. On a certain day, 282 people entered the park, and the admission fees collected totaled $1,391.00. How many children and how many adults attended the amusement park that day?
There were children and adults that attended the amusement park that day.
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Question 1202435: The admission fees at an amusement park are $4.25 for children and $6.00 for adults. On a certain day, 282 people entered the park, and the admission fees collected totaled $1,391.00. How many children and how many adults attended the amusement park that day?
There were children and adults that attended the amusement park that day.
Click here to see answer by josgarithmetic(39616) About Me 
Question 1202446: The Pappas family has two cats, Zeus and Athena. Together they weigh twelve pounds. Zeus weighs 4 pounds less than Athena. How much does Athena weigh?
Write an algebraic equation that represents the situation.
Use a for your variable.
Athena weighs pounds.
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Question 1202446: The Pappas family has two cats, Zeus and Athena. Together they weigh twelve pounds. Zeus weighs 4 pounds less than Athena. How much does Athena weigh?
Write an algebraic equation that represents the situation.
Use a for your variable.
Athena weighs pounds.
Click here to see answer by josgarithmetic(39616) About Me 
Question 1202457: 3. A company is trying to minimize their costs. Their accountant comes up with the formula C = 15x2-18x+24, where C equals the cost and x equals the number of hours a machine runs to help them achieve this.
What are their break even points?
What value would minimize the cost?

If the machine runs for six hours how much would that cost the company?

If the cost is $500, how long was the machine running for?
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Question 1202457: 3. A company is trying to minimize their costs. Their accountant comes up with the formula C = 15x2-18x+24, where C equals the cost and x equals the number of hours a machine runs to help them achieve this.
What are their break even points?
What value would minimize the cost?

If the machine runs for six hours how much would that cost the company?

If the cost is $500, how long was the machine running for?
Click here to see answer by ikleyn(52776) About Me 
Question 1202458: Two airplanes are flying near the Toronto Pearson airport. Airplane 1 is at an altitude (height) of 2 km. Airplane 2 records an angle of depression of 35 degrees to the Toronto Pearson airport. And the Toronto Pearson airport reports an angle of elevation to airplane 1 of 50 degrees.
How far apart are the two planes?
What is the altitude of airplane 2?
What is the angle between the two planes?
How far is each plane from the airport?
Click here to see answer by mananth(16946) About Me 
Question 1202458: Two airplanes are flying near the Toronto Pearson airport. Airplane 1 is at an altitude (height) of 2 km. Airplane 2 records an angle of depression of 35 degrees to the Toronto Pearson airport. And the Toronto Pearson airport reports an angle of elevation to airplane 1 of 50 degrees.
How far apart are the two planes?
What is the altitude of airplane 2?
What is the angle between the two planes?
How far is each plane from the airport?
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Question 1202474: The population of Boomtown is currently 12000 and expected to grow by 3.5% over the next year. What will its population be by then?
The population of Dullsville, on the other hand, is currently 10000 and expected to decrease by 5% over the next year. What will its population be by then?
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Question 1202529: A person has a bag containing quarters and dimes. There are a total of 66 coins in the bag, and the total value of the coins is $10.95.
Determine how many quarters and dimes are in the bag.
There are quarters.
There are dimes.
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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