Tutors Answer Your Questions about Linear-equations (FREE)
Question 1072479: Ace cruiser line offers an inland waterway cruise to a group of 50 people for a price of R30 per person but it reduces the price person by R0.50 for each additional person above 50
How many people will provide maximum revenue for the cruise?
What is average rate of change if a group increase from 50 to 55 people?
Click here to see answer by ikleyn(52780)   |
Question 1072553: What is the solution to the speed on a hill problem.Assume that the maximum speed your car will go is a linear function of the steepness of the hill it is going up or down.Suppose that your car can go on a maximum of 55 mph up a 5 degree hill,and a maximum of 104 mph down a 2 degree hill.
How can get it right I got y =16.3 (x + 71.4) that gave me that if the slope is 7 degree the mph is 185.5.How can i solve it?
Click here to see answer by stanbon(75887) |
Question 1072553: What is the solution to the speed on a hill problem.Assume that the maximum speed your car will go is a linear function of the steepness of the hill it is going up or down.Suppose that your car can go on a maximum of 55 mph up a 5 degree hill,and a maximum of 104 mph down a 2 degree hill.
How can get it right I got y =16.3 (x + 71.4) that gave me that if the slope is 7 degree the mph is 185.5.How can i solve it?
Click here to see answer by KMST(5328)  |
Question 1072503: Having trouble setting up the equation for word problem: At 6:00 am, here's what we know about two airplanes: Airplane #1 has an elevation of 10140 ft. and climbs 1500 feet every 5 minutes. Airplane #2 has an elevation of 4340 ft. and climbs 1500 feet every 3 minutes.
(1)Let t represent the time in minutes since 6:00 am, and let E represent the elevation in feet. Write the equations for the elevations of each plane in terms of t plane #1:
E(t)=
E(t)=
plane #2:
E(t)=
E(t)=
(2)At what time will the two airplanes have the same elevation?
t=
t= minutes after 6:00 am Preview
(3) What is the elevation at that time?
E=
E= feet
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1072650: A farmer has 6000 acres available to plant with a corn and soybeans each acres of corn requires 9 litters of fertilizer and hours of labour to harvest each hectares of soybeans requires 3 litters of fertilizer and 1 hour of labour to harvest the co-op has available at most 40500 gallons of fertilizer and at most 5250 hours of labour for harvesting the number of each crop is limited by available resources; land, fertilizer, and labour for harvesting
Let x = number of hectares of corn
Let y = number of hectares of soybeans
1. Write the system of inequalities that is described by farm's constraints
2. What is the number of the most acres of corn and soybeans that farm could plant treat with fertilizer (tip:solve system of inequalities and identify the extreme points of the region solution)
3. If profit hectares are R60 and R40 respectively how many hectares of each crop should they plant in order to maximize their profit, what is maximum profit
Click here to see answer by ikleyn(52780) |
Question 1072856: The altitude (in feet) attained by a model rocket t sec into flight is given by the function h(t). Find the maximum altitude attained by the rocket. (Round your answer to the nearest foot.)
h(t)= -1/3t^3+2t^2+12t+20 (t≥0)
= ?ft
Click here to see answer by ikleyn(52780) |
Question 1072965: IF R10 000 is invested at 6%, compounded monthly, then the Future value oF the investment S aFter x years is given by S = 10 000(1 . 005) 12 x. find the value of the investment after 5 years
find the value of investment after 30 years.
Click here to see answer by Fombitz(32388)  |
Question 1072915: A bug is moving along the line 3x + 4y = 12 with constant speed 5 units per second. The bug crosses the x-axis when t = 0 seconds. It crosses the y-axis later. When? Where is the bug when t = 2? when t = −1? when t = 1.5? What does a negative t-value mean?
Click here to see answer by rothauserc(4718)  |
Question 1073089: Write a system of linear equations to represent the situation. Then, answer the question using (a) a table, (b) a graph, and (c) algebra.
2. You buy 16 candles. Large candles cost $7 each and small candles cost $3 each. You spend $76. How many large candles x and small candles y did you buy?
Number of candles: Number of large candles plus number of small candles is 16.
Cost of candles: $7 times number of large candles plus $3 times number of small candles is $76
Click here to see answer by ikleyn(52780) |
Question 1073092: Write a system of linear equations to represent the situation. Then, answer the question using (a) a table, (b) a graph, and (c) algebra.
3. There are 62 time slots for cheerleading tryouts on Saturday and Sunday. There are 14 more slots on Saturday than on Sunday. Find the number of Saturday time slots x and the number of Sunday time slots y
Click here to see answer by josgarithmetic(39617) |
Question 1073092: Write a system of linear equations to represent the situation. Then, answer the question using (a) a table, (b) a graph, and (c) algebra.
3. There are 62 time slots for cheerleading tryouts on Saturday and Sunday. There are 14 more slots on Saturday than on Sunday. Find the number of Saturday time slots x and the number of Sunday time slots y
Click here to see answer by josmiceli(19441)  |
Question 1073097: Ace cruiser line offers an inland waterway cruise to a group of 50 people for a price of R30 per person but it reduces the price person by R0.50 for each additional person above 50.
Define the revenue functions for the inland waterway cruise.
Click here to see answer by ikleyn(52780) |
Question 1073098: A farm co-op has 6000 acres available to plant with corn and soybeans. Each acre of corn requires 9 gallons of fertilizer/herbicide and 3/4 hour of labor to harvest. Each acre of soybeans requires 3 gallons of fertilizer/herbicide and 1 hour of labor to harvest. The co-op has available at most 40,500 gallons of fertilizer/herbicide and at most 5250 hours of labor for harvesting. The number of acres of each crop is limited (constrained) by the available resources: land, fertilizer/herbicide, and labor for harvesting. Let x represent the number of acres of corn and y represent the number of acres of soybeans.
Write the system of inequalities that describes the farm's constraints.
What is the most number of acres of corn and soybeans that the farm could plant, treat with fertilizer/herbicide and harvest?(TIP: solve the system of inequalities and identify the extreme point(s) of the region of solution).
Click here to see answer by ikleyn(52780) |
Question 1073098: A farm co-op has 6000 acres available to plant with corn and soybeans. Each acre of corn requires 9 gallons of fertilizer/herbicide and 3/4 hour of labor to harvest. Each acre of soybeans requires 3 gallons of fertilizer/herbicide and 1 hour of labor to harvest. The co-op has available at most 40,500 gallons of fertilizer/herbicide and at most 5250 hours of labor for harvesting. The number of acres of each crop is limited (constrained) by the available resources: land, fertilizer/herbicide, and labor for harvesting. Let x represent the number of acres of corn and y represent the number of acres of soybeans.
Write the system of inequalities that describes the farm's constraints.
What is the most number of acres of corn and soybeans that the farm could plant, treat with fertilizer/herbicide and harvest?(TIP: solve the system of inequalities and identify the extreme point(s) of the region of solution).
Click here to see answer by Theo(13342)  |
Question 1073105: Ace cruiser line offers an inland waterway cruise to a group of 50 people for a price of R30 per person but it reduces the price person by R0.50 for each additional person above 50.
Define the revenue functions for the inland waterway cruise:
1. R(x) = x^2 - 20x + 1500
2. R(x) = -0.5x^2 + 5x + 1500
3. R(x) = x^2 + 80x + 1500
4. R(x) = 0.5x^2 + 55x + 1500
5. None of the above
Click here to see answer by ikleyn(52780) |
Question 1073113: Good Afternoon,
Please help me to solve this equation: 3x-4y= -24 and x + y = -1.
I tried by solving this using simultaneous equation but I did not come alright.
here is my try:
3x-4y = -24 -x -y= -1 y == 3/4x-6(answer) but there is no answers mash.
I subtract equation 2 from equation 1
Click here to see answer by MaxWong(38) |
Question 1073113: Good Afternoon,
Please help me to solve this equation: 3x-4y= -24 and x + y = -1.
I tried by solving this using simultaneous equation but I did not come alright.
here is my try:
3x-4y = -24 -x -y= -1 y == 3/4x-6(answer) but there is no answers mash.
I subtract equation 2 from equation 1
Click here to see answer by MathTherapy(10552)  |
Question 1073148: Ace Cruise Line offers an inland waterway cruise to a group of 50 people for a price of R30 per person, but it reduces the price per person by R0.50 for each additional person above the 50. How many people will provide maximum revenue for the cruise line?
Click here to see answer by Boreal(15235)  |
Question 1073271: A textbook store sold a combined total of 268 psychology and history textbooks in a week.
The number of history textbooks sold was 58 less than the number of psychology textbooks sold.
How many textbooks of each type were sold?
Click here to see answer by Theo(13342) |
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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, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045
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