Tutors Answer Your Questions about Linear-systems (FREE)
Question 1165846: Andrea ran and biked for a total of 32 miles in 4 hours. Her average running speed was 5 mph and her average biking speed was 13 mph.
Let x= total hours Andrea ran
Let y= total hours Andrea bikes
Use substitution to solve for x and y.
a) How many hours did Andrea run?
b) how many hours did Andrea bike?
Click here to see answer by Boreal(15235)   |
Question 1166148: a chicken farmer can buy a special food mix A at 20c per kg and special food mix B at 40c per kg each kg of mix A contains 3000 units of nutrient N1 and 1000 units nutrient of N2 each kg of mix B contains 4000 units of nutrient N1 and 4000 units of nutrients N2 if the minimum daily requirements for the chickens collectively are are 36000 units of nutrient N1 and 20000 units of nutrient N2 how many pounds of each food mix should be used each day to minimize daily food costs while meeting (or exceeding) the minimum daily requirements? what is the minimum daily cost?
Click here to see answer by solver91311(24713)  |
Question 1166148: a chicken farmer can buy a special food mix A at 20c per kg and special food mix B at 40c per kg each kg of mix A contains 3000 units of nutrient N1 and 1000 units nutrient of N2 each kg of mix B contains 4000 units of nutrient N1 and 4000 units of nutrients N2 if the minimum daily requirements for the chickens collectively are are 36000 units of nutrient N1 and 20000 units of nutrient N2 how many pounds of each food mix should be used each day to minimize daily food costs while meeting (or exceeding) the minimum daily requirements? what is the minimum daily cost?
Click here to see answer by ikleyn(52786)  |
Question 1166672: You have 96 feet of fencing to enclose a rectangle pan for your dog to provide sufficient running space for your dog to exercise the pan should be three times as long as it is right find the dimensions of the pen length and width
Click here to see answer by ikleyn(52786) |
Question 1166672: You have 96 feet of fencing to enclose a rectangle pan for your dog to provide sufficient running space for your dog to exercise the pan should be three times as long as it is right find the dimensions of the pen length and width
Click here to see answer by Alan3354(69443)  |
Question 1166756: Deluxe coffee is to be mixed with regular coffee to make at least 45 pounds of a blended coffee. The mixture must contain at least 9 pounds of deluxe coffee. Deluxe coffee costs $4 per pound and regular coffee $3 per pound. How many pounds of each kind of coffee should be used to minimize costs?
Click here to see answer by solver91311(24713) |
Question 1166582: A builder wants to build the bridge whose cross section is shown in the diagram. Two companies offer simple bids on building the bridge according to the distance b and the number of I-beams. If the cross section could be redesigned for cost reasons in terms of b, what is the distance b for which the companies would have the same bid on the project?
EMPIRE DESIGN
Bid form
$320,000b
$60,000 per I-beam
BUILD-EM-UP CO.
Bid form
Proposal:
$320,000b
$40,000 per I-beam
The companies would have the same bid on the project when b
_______ ft.
Click here to see answer by solver91311(24713) |
Question 1167063: so Im trying to brush up on my skills and have been presented with:
x - y - z = 5
y - x - z = 1
z - y - x = -15
x * y - z = a
so far all I can remember is to equal everything out to zero leaving:
x - y - z - 5 = 0
y - x - z - 1 = 0
z - y - x + 15 = 0
x * y - z - a = 0
what kind of problem is this exactly and how do I solve he variables?
Click here to see answer by solver91311(24713) |
Question 1167063: so Im trying to brush up on my skills and have been presented with:
x - y - z = 5
y - x - z = 1
z - y - x = -15
x * y - z = a
so far all I can remember is to equal everything out to zero leaving:
x - y - z - 5 = 0
y - x - z - 1 = 0
z - y - x + 15 = 0
x * y - z - a = 0
what kind of problem is this exactly and how do I solve he variables?
Click here to see answer by ikleyn(52786) |
Question 1167063: so Im trying to brush up on my skills and have been presented with:
x - y - z = 5
y - x - z = 1
z - y - x = -15
x * y - z = a
so far all I can remember is to equal everything out to zero leaving:
x - y - z - 5 = 0
y - x - z - 1 = 0
z - y - x + 15 = 0
x * y - z - a = 0
what kind of problem is this exactly and how do I solve he variables?
Click here to see answer by MathTherapy(10552)  |
Question 1167113: PLEASE HELP!! I just need the system of equations and it says there are only four but I think there might be more. My teacher is strict and has a strong accent so I can’t always understand or ask for help.
The International Canine Academy raises and trains Siberian sled dogs and dancing French poodles.Breeders supply at most 20 poodles and 15 sled dogs each year. Each poodle eats 2lb of food a day.Each sled dog eats 6lb of food per day. Supplies restricted the academy to 100lb of food per day. Poodles require 1,000 hr/yr training, whereas sled dogs require 250hr/yr.The academy cannot provide more than 15,000 hr/ur of training.
Click here to see answer by Theo(13342)  |
Question 1167490: A punter kicks a football from 0.8 meters above the ground with an initial velocity of 21 meters per second. The height of the football is modeled by the equation h(t)=−4.9t2+21t+0.8 where h(t) represents the height of the football in meters and t represents time in seconds.
How many seconds does it take for the receiver to catch the football if he catches it at a height of 1.2 meters?
Click here to see answer by ikleyn(52786) |
Question 1168223: Consider this scenario: A town's population has been decreasing at a constant rate. In 2010 the population was 6,500. By 2012 the population had dropped to 5,700. Assume this trend continues.
Identify the year in which the population will reach 0. (Round your answer down to the nearest year.)
Click here to see answer by josgarithmetic(39617) |
Question 1168754: Will someone help me solve this problem or check to see if I am on the right track? I think I would start by dividing 15/2 to get a unit rate of 7.50 per book and use $90 as a starting rate. M=90-7.50b
So far 0 in the linear table, it would be M=90-7.50*0=90
Noah had 90 dollars spending money from a math competition he won. He found some math problem books that cost $15.00 for every 2 books. Of course, he decided to buy many of them! a. Write a linear equation to model this situation using M = Total Money River has left and B = Number of
books bought and complete the table.
Ind. Variable Dep. Variable
B M
0
1
2
Click here to see answer by math_tutor2020(3817) |
Question 1169005: Can you answer this question for me? "Phil’s age is 7 years more than times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Peter’s age in years, identify the equation that represents this situation" I have forgotten the process. Also after you show me I will be doing other practice problems to really memorize it.
Click here to see answer by ikleyn(52786) |
Question 1169005: Can you answer this question for me? "Phil’s age is 7 years more than times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Peter’s age in years, identify the equation that represents this situation" I have forgotten the process. Also after you show me I will be doing other practice problems to really memorize it.
Click here to see answer by Solver92311(821)  |
Question 1169372: A food stand sells various types of food. Steak Kabobs cost $3, Popcorn Chicken costs $5, and Bacon Grilled Cheese costs $8. One day, the food stand sold 6 times as many Steak Kabobs as Bacon Grilled Cheese. The food stand sold $5,800 in one day. The money made from Popcorn Chicken alone made 4 times as much money as Bacon Grilled Cheese. How many Steak Kabobs did the food stand sell?
Click here to see answer by josgarithmetic(39617) |
Question 1169745: 2)Determine the equilibrium prices of the three interdependent commodity that satisfy.
𝑝1+3𝑝2+3𝑝3=32
𝑝1+4𝑝2+3𝑝3=37
𝑝1+3𝑝2+4𝑝3=35
(Express this system in matrix form and hence find the values of 𝑝1, 𝑝2 and 𝑝3)
Click here to see answer by ikleyn(52786) |
Question 1169849: 1.A University of Florida student earns $20 per day delivering advertising brochures door-to-door, plus $1.50 for each person he interviews. How many people did he interview on a day when he earned $62?
2.A machine to manufacture fasteners has a setup cost of $1,300 and a unit cost of $0.008 for each fastener manufactured. A newer machine has a setup cost of $1,600 but a unit cost of only $0.0025 for each fastener manufactured. Find the break point
3.A National Hockey League rink is 115 feet longer than it is wide. If the perimeter of the rink is 570 feet, find the dimensions of the rink.
Click here to see answer by ikleyn(52786) |
Question 1170551: System of Equation:
Andrea sells flower pot of different sizes. The price of a small flower pot is RM10, medium flower pot RM15 and large flower pot RM 40. Every months, the number of small flower pots sold is equal to the number of the medium and large flower pots sold. The number of medium flower pots sold is twice the number of the large flower pots sold. Andrea needs to pay a rent of RM300 per month for her business premise. What are the minimum numbers of pots of each size which Andrea has to sell in a month so that she can pay the monthly rent?
Click here to see answer by ikleyn(52786) |
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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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