Tutors Answer Your Questions about Linear-systems (FREE)
Question 1053112: Lance Armstrong can ride 162 miles on flat ground in 6 hours with a good breeze at his back. It takes him 10 hours to go 90 miles with the same breeze working against him. How fast is Lance going on a bike and how fast is the wind speed?
Click here to see answer by Alan3354(69443)   |
Question 1055091: A flyer on a reconnasissance flight has 4 hours on the round trip. His plane can fly 200 mph in the still air. He flies out from his base against a 20 mph wind and then returns to his base, flying wth the same wind. How long was the outgoing flight?
Click here to see answer by ikleyn(52786)  |
Question 1055091: A flyer on a reconnasissance flight has 4 hours on the round trip. His plane can fly 200 mph in the still air. He flies out from his base against a 20 mph wind and then returns to his base, flying wth the same wind. How long was the outgoing flight?
Click here to see answer by stanbon(75887) |
Question 1055238: Nicolas mixes three solutions of acid with concentrations of 10%, 15%, and 5%. He wants to make 30 L of a mixture that is 12% acid and he uses four times as much of the 15% solution as the 5% solution. How much each of the three solutions must he use?
Click here to see answer by josgarithmetic(39617) |
Question 1055238: Nicolas mixes three solutions of acid with concentrations of 10%, 15%, and 5%. He wants to make 30 L of a mixture that is 12% acid and he uses four times as much of the 15% solution as the 5% solution. How much each of the three solutions must he use?
Click here to see answer by MathTherapy(10552)  |
Question 1055239: Ramesh asked Amit to tell his date of birth . Amit replied in the following manner . If you multiply the month and the date on which i was born by 31 and 12 respectively , the sum of the two products is 170 . What is the date of birth of Amit ?
Click here to see answer by ikleyn(52786) |
Question 1055548: If there are 5280 feet in a mile and 3600 seconds in an hour, then a speed of 26 feet per second is closest to which of the following? a) 15 mph b) 18 mph c) 35 mph d) 40 mph
I also need it worked out and explained how you came up with the answer. Thanks so much in advance!!
Click here to see answer by Boreal(15235)  |
Question 1055679: For a trip to a resort, a charter bus company charges a fare of $48 per person plus $2 for each unsold seat on the bus. The bus has 42 passenger seats. Let x represent the number of unsold seats on the bus for the charter. Write a function defined by R(x) that describes the total revenue from the trip. Find the number of unsold seats that produces the maximum revenue. What is the maximum revenue?
Click here to see answer by josgarithmetic(39617) |
Question 1055929: 8x-6y=-2 having the same y-intercept as -6x+2y=4.
I got y=8/6x+2/6 for the first problem, and y=3x+2 for the second problem. I'm lost as to how do I get the final equation. And the final equation has to be perpendicular to 8x-6y=-2, with the same y-intercept as -6x+2y=4
Click here to see answer by josmiceli(19441)  |
Question 1055922: Find the maximal value of the object linction z = x + 3y; subject to constraints; y less than equal to x+1,x+y greater tha equal to 2, 2y greater than equal to x-1, as x greater than equal to 0 and y greater than equal to 0.
Click here to see answer by ikleyn(52786) |
Question 1055919: Find the maximal value of object function z=x+3y;
subject to the constraints. y less than equal to x+1,
x+y greater than equal to 2, 2y greater than equal to x-1,as x greater than equal to 0, y greater than equal to 0
Click here to see answer by Fombitz(32388)  |
Question 1056452: A farm store sells apple pies and apple sauce. 5 Granny Smith apples and 3 Golden Delicious apples are needed to bake a pie. 4 Granny Smith apples and 2 Golden Delicious are needed to make applesauce. If 169 Granny Smith apples and 95 apples were picked on the farm, then how many apple pies "p" and batches of applesauce "a" can be made if every apple is used? Write and solve a system of equations.
Click here to see answer by josmiceli(19441) |
Question 1056454: Matt invested $2000 in stocks and bonds. This year the bonds paid 8% interest and the stocks paid 6% in dividends. Matt received a total of $144 in interest and dividends. Write and solve a system of equations to find how much money was invested in bonds and how much was invested in stocks
Click here to see answer by josmiceli(19441) |
Question 1056457: A rectangle has a perimeter of 18 inches. A new rectangle is formed by doubling the width "w" and tripling the length "L". The new rectangle's perimeter is 46 inches. Write and solve a system of equations to find the length and width of the orginal rectangle. Find the length and width of the new rectangle
Click here to see answer by josgarithmetic(39617) |
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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
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