Tutors Answer Your Questions about Linear-systems (FREE)
Question 966277: Kevin Briley began a 114 mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 6 hours. If Kevin walks at a rate of 4 miles per hour and rides at 24 miles per hour, find the amount of time he spent on the bicycle.
Thank you for helping me.
Click here to see answer by ankor@dixie-net.com(22740)   |
Question 966844: An unknown number y is 12 more than an unknown number x. The number y is also x less than 17. The equations to find x and y are shown below.
y = x + 12
y = −x + 17
Which of the following statements is a correct step to find x and y?
Multiply the equations to eliminate y.
Write the points where the graphs of the equations intersect the x-axis.
Write the points where the graphs of the equations intersect the y-axis.
Add the equations to eliminate x.
Click here to see answer by Fombitz(32388)  |
Question 967163: Solve for both variables:
6x + 2y =10
5x -4y =-3
Teacher's directions: 1) solve each equation for same variable 2) set them equal to each other and solve for one variable 3) plug answer into both equations
4) write answer as (x,y)
Click here to see answer by amarjeeth123(569) |
Question 967313: 7x+10y=36
y=2x+9
solving systems of equations with substitution.
I have been practicing these and i am pretty sure my math is correct but i need help i am doing khan academy and the answers i got are x= -2 and y= 2.2
please help!
sincerely, kennedy
Click here to see answer by josgarithmetic(39617) |
Question 967313: 7x+10y=36
y=2x+9
solving systems of equations with substitution.
I have been practicing these and i am pretty sure my math is correct but i need help i am doing khan academy and the answers i got are x= -2 and y= 2.2
please help!
sincerely, kennedy
Click here to see answer by MathTherapy(10552)  |
Question 968792: Hi appreciated tutors,
I have been studying linear systems and have a good understanding of solving them but this word problem is driving me crazy. Here is the problem verbatim;
The total cost of 10 gallons of regular gasoline and 15 gallons of premium gasoline is $32.75. Premium costs $.20 more per gallon than regular. What is the cost per gallon of each type of gasoline?
I tried to set up the problem like this:
x+y=25
10x+15y=32.75
I figured the .20 would be added to the final "y" value.
The way it comes out when I work the equations by trying to use substitution is a negative number. This is one indication I am working it incorrectly. Please show me a verbal model and work the equations and explain how to include the".20". THANKS very much!
Click here to see answer by Alan3354(69443)  |
Question 968792: Hi appreciated tutors,
I have been studying linear systems and have a good understanding of solving them but this word problem is driving me crazy. Here is the problem verbatim;
The total cost of 10 gallons of regular gasoline and 15 gallons of premium gasoline is $32.75. Premium costs $.20 more per gallon than regular. What is the cost per gallon of each type of gasoline?
I tried to set up the problem like this:
x+y=25
10x+15y=32.75
I figured the .20 would be added to the final "y" value.
The way it comes out when I work the equations by trying to use substitution is a negative number. This is one indication I am working it incorrectly. Please show me a verbal model and work the equations and explain how to include the".20". THANKS very much!
Click here to see answer by MathLover1(20850)  |
Question 969468: A company that manufactures running shoes has a fixed cost of $10,000. Additionally, it costs $10 to produce each pair of shoes. they are sold at $30 per pair. what is the break-even point? please show work.
a. (1,200, $36,000)
b. (1,500, $45,000)
c. (1,000, $30,000)
d. (500, $15,000)
Click here to see answer by Boreal(15235)  |
Question 970170: Alan & Sumei are 9km apart on a straight road and they are walking uniformly towards each other. If they start walking at the same time, they will meet in 1 hour 30 minutes. if Sumie starts walking 30 minutes after Alan, they will meet after Sumei has walked 1 hour 12 minutes. Find the speed of alan and the speed of sumei in km/h.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 970255: Hi outstanding tutors,
I cannot figure out how to set up this linear word problem. I do;t even know how to begin. Here is the problem:
You are driving to a concert. To arrive on time, you plan to travel at an average speed of 45 miles per hour. For the first two hours of the trip you travel at 40 miles per hour. Find the expression for the total time you traveled. Then use the following verbal models to find how many hours you traveled at 55 miles per hour to arrive on time.
Distance at 40mi/hr + distance at 55 mi/hr = Total distance
Average speed * Total time = Total distance
Thank you for taking time to work this!
Click here to see answer by macston(5194)  |
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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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