Tutors Answer Your Questions about Linear-systems (FREE)
Question 1158171: Isabella filled her pool with water at a constant rate.
The table compares the remaining volume of water left to fill the pool (in liters) and the time since Isabella started filling the pool (in minutes).
Click here to see answer by ikleyn(52782)   |
Question 1158830: Twice as many adults as children attended a violin concert. During the intermission, 530 adults and 25 children left the concert hall. The number of children remaining in the hall became twice as many as the number of adults remaining in the hall. How many people attended the violin concert?
Click here to see answer by ikleyn(52782) |
Question 1158969: Hi!
I have been trying to use old, retired ACT exams to prepare to take the actual test, and in checking my work to find what I need to improve on I've run into a problem that I have solved but don't quite understand.
"The solution of the system of equations below is the set of all (x,y)such that 2x-3y=6. What is the value of k?
18x-27y=54
6x+ky=-2k
A.-9
B.-1
C.3
D.6
E.9
I solved by substituting each of the options given for k in the bottom equation, and then using the elimination method for solving systems of equations. However, it was very time consuming and I did not understand how the equation in the paragraph fit in with the other two equations. The answer was A. I did not understand why the answer that made the two equations come out to 0 was correct. I did not even use the equation in the paragraph to solve, and I only got the answer correct when fixing my work later, not when taking the test (I simulated an actual test as much as I could by timing myself). Is there a faster, more accurate method? Perhaps using the calculator? I do own a graphing calculator, but it is not a TI-84.
I hope this makes sense. Thank you for taking the time to help me!
Anna McLeran
Click here to see answer by josgarithmetic(39617) |
Question 1158969: Hi!
I have been trying to use old, retired ACT exams to prepare to take the actual test, and in checking my work to find what I need to improve on I've run into a problem that I have solved but don't quite understand.
"The solution of the system of equations below is the set of all (x,y)such that 2x-3y=6. What is the value of k?
18x-27y=54
6x+ky=-2k
A.-9
B.-1
C.3
D.6
E.9
I solved by substituting each of the options given for k in the bottom equation, and then using the elimination method for solving systems of equations. However, it was very time consuming and I did not understand how the equation in the paragraph fit in with the other two equations. The answer was A. I did not understand why the answer that made the two equations come out to 0 was correct. I did not even use the equation in the paragraph to solve, and I only got the answer correct when fixing my work later, not when taking the test (I simulated an actual test as much as I could by timing myself). Is there a faster, more accurate method? Perhaps using the calculator? I do own a graphing calculator, but it is not a TI-84.
I hope this makes sense. Thank you for taking the time to help me!
Anna McLeran
Click here to see answer by MathLover1(20850)  |
Question 1158969: Hi!
I have been trying to use old, retired ACT exams to prepare to take the actual test, and in checking my work to find what I need to improve on I've run into a problem that I have solved but don't quite understand.
"The solution of the system of equations below is the set of all (x,y)such that 2x-3y=6. What is the value of k?
18x-27y=54
6x+ky=-2k
A.-9
B.-1
C.3
D.6
E.9
I solved by substituting each of the options given for k in the bottom equation, and then using the elimination method for solving systems of equations. However, it was very time consuming and I did not understand how the equation in the paragraph fit in with the other two equations. The answer was A. I did not understand why the answer that made the two equations come out to 0 was correct. I did not even use the equation in the paragraph to solve, and I only got the answer correct when fixing my work later, not when taking the test (I simulated an actual test as much as I could by timing myself). Is there a faster, more accurate method? Perhaps using the calculator? I do own a graphing calculator, but it is not a TI-84.
I hope this makes sense. Thank you for taking the time to help me!
Anna McLeran
Click here to see answer by MathTherapy(10552)  |
Question 1159709: Ballpoint pens cost $1.50 a dozen for the first two hundred dozen a store buys from a wholesaler $1.25 a dozen those bought in addition to the first two hundred dozens. If the stores buy 250 dozen pens from the wholesaler, Then its average cost of ballpoint pens per dozen is
Click here to see answer by mananth(16946)  |
Question 1159813: If you decide to make two investments that yield the same return, how much did you invest in each?
(1) Of the total amount invested, 3/10 of it plus $600,000.00 invested in the first one.
(2) At the end of the first year you received $150,000.00 in total return.
A) (1) on its own.
B) (2) on your own.
C) Both (1) and (2) together.
D) Each on its own, (1) or (2).
E) Additional information is required.
Click here to see answer by Theo(13342)  |
Question 1160182: The income of a student production was $32,500. The price of a student ticket was $10, and the nonstudents tickets were sold at $15 each. Three thousand tickets were sold. How many tickets of each kind were sold?
Click here to see answer by mananth(16946) |
Question 1160221: There are x chickens and y rabbits on a farm. Given that the animals have a total of 70 heads and 196 legs, formulate a pair of simultaneous equations involving x and y. By solving the simultaneous equations, find the number of chickens and rabbits on the farm.
Click here to see answer by Theo(13342) |
Question 1160221: There are x chickens and y rabbits on a farm. Given that the animals have a total of 70 heads and 196 legs, formulate a pair of simultaneous equations involving x and y. By solving the simultaneous equations, find the number of chickens and rabbits on the farm.
Click here to see answer by josgarithmetic(39617) |
Question 1160221: There are x chickens and y rabbits on a farm. Given that the animals have a total of 70 heads and 196 legs, formulate a pair of simultaneous equations involving x and y. By solving the simultaneous equations, find the number of chickens and rabbits on the farm.
Click here to see answer by solver91311(24713)  |
Question 1160480: Perform the sequence of row operations on the matrix.
(a)SwapR1 andR3.
(b) Replace R2 by R2 plus -5 times R1.
(C) Replace R3 by R3 plus -3 times R1.
The matrix is
3 -10 -2
5 1 5
1 6 -1
The possible answers are
(A)
1 6 -1
0 -29 10
0 -28 1
(B)
1 5 -3
0 -17 8
0 -40 3
(C)
7 6 -7
-3 -28 1
-8 -29 10
(D)
7 6 -7
-3 -40 3
-8 -17 8
Click here to see answer by greenestamps(13200)  |
Question 1160775: Hi! I've tried to complete this question multiple times and am quite frustrated because I cannot seem to get the middle vertical column of the answer correct!
There is
A
-2 3 0
-3 -1 -2
-1 3 -1
and
B
1 -1 -2
2 -2 -3
-3 2 -3
And I need to find what BA =
Any help would be so appreciated, thank you!
Click here to see answer by greenestamps(13200) |
Question 1160775: Hi! I've tried to complete this question multiple times and am quite frustrated because I cannot seem to get the middle vertical column of the answer correct!
There is
A
-2 3 0
-3 -1 -2
-1 3 -1
and
B
1 -1 -2
2 -2 -3
-3 2 -3
And I need to find what BA =
Any help would be so appreciated, thank you!
Click here to see answer by ikleyn(52782) |
Question 1160772: Hi there! I'm not sure how to even begin to start this question from my homework! Any help would be greatly appreciated.
"For the following system to be consistent,
-7x - 4y - 4z = -4
8x - 8y + kz = -6
-5x - 28y -2z = -23
We must have, k not equal _____"
Click here to see answer by math_helper(2461)  |
Question 1161621: Over the last three evenings, Laura received a total of 91 phone calls at the call center. The second evening, she received 2 times as many calls as the third evening. The first evening, she received 9 fewer calls than the third evening. How many phone calls did she receive each evening?
Click here to see answer by ikleyn(52782) |
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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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