Tutors Answer Your Questions about Linear-systems (FREE)
Question 1127020: Tv Pro Inc . produces three models of tv sets: economy , deluxe, and super. Each economy Tv set requires 2 hrs of electronics work, 2 hr of assembly time,and 1 hour of finishing time. Each deluxe Tv set requires 1 hour of electronics work , 3 hours of assembly time, and 1 hour of finishing time. Each super TV set requires 3 hours of electronics work, 2 hours of assembly time, and 2 hours of finishing time. There are 158 hours of labor available for electronics work, 168 hours for assembly, and 104 hours available for finishing each week. How many of each model should be produced each week if all time for labor is to be used?
Click here to see answer by ikleyn(52787)   |
Question 1127553: When a crew rows with the current, it travels
21 miles in
3 hours. Against the current, the crew rows
9 miles in
3 hours. Let
x= the crew's rowing rate in still water and let
y=the rate of the current. Find the rate of rowing in still water and the rate of the current.
Click here to see answer by josgarithmetic(39617) |
Question 1127553: When a crew rows with the current, it travels
21 miles in
3 hours. Against the current, the crew rows
9 miles in
3 hours. Let
x= the crew's rowing rate in still water and let
y=the rate of the current. Find the rate of rowing in still water and the rate of the current.
Click here to see answer by greenestamps(13200)  |
Question 1127835: Consider two ships, one on a course described by the equation 0.6x+0.3y=2.1 and the other on a course described by the equation -0.3x+0.1y=-1.8. Which of the following sentences best describes the possibility of a collision?
A. There is a possibility of a collision at the point (5,-3) but a collision is not a certainty.
B. There is a possibility of a collision at the point (0,7) but a collision is not a certainty.
C. There will certainty be a collision at the point (6,0).
D. There is no possibility for a collision
Click here to see answer by ikleyn(52787) |
Question 1127801: Hi!
Sorry I put the wrong email!! I have a question for my college algebra class. The problem says:
Show that the equations in exercise 13 are inconsistent if a1/a2=b1/b2does not equal c1/c2
exercise 13 says show that the equations a1x+b1y=c1 & a2x+b2y=c2 are dependent if a1/a2=b1/b2=c1/c2. (Hint; let the value of this common ratio be k)
Thank you,
Maddie
Click here to see answer by math_helper(2461)  |
Question 1127964: Counting Calories Tyshira tracks her net calories (calories taken in minus calories burned) as part of her fitness program. For one particular day, her net intake was 1480 calories. Her lunch calories were half her breakfast calories, and her dinner calories were 200 more than her breakfast calories. She ate 120 less calories in snacks than for breakfast, and she burned 700 calories by exercising on her elliptical. How many calories did she take in from snacks?
Click here to see answer by josgarithmetic(39617) |
Question 1128086: A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3281 tickets overall. It has sold 191 more $20 tickets than $10 tickets. The total sales are 64,510. How many tickets of each kind have been sold?
Click here to see answer by Mtrkcrc(8) |
Question 1128086: A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3281 tickets overall. It has sold 191 more $20 tickets than $10 tickets. The total sales are 64,510. How many tickets of each kind have been sold?
Click here to see answer by ikleyn(52787) |
Question 1128086: A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3281 tickets overall. It has sold 191 more $20 tickets than $10 tickets. The total sales are 64,510. How many tickets of each kind have been sold?
Click here to see answer by greenestamps(13200) |
Question 1128089: An investment firm recommends that a client invest in bonds rated AAA, A, and B. The average yield on AAA bonds is 6%, on A bonds 7%, and on B bonds 10%. The client wants to invest twice as much in AAA bonds as in B bonds. How much should be invested in each type of bond if the total investment is $21,000, and the investor wants an annual return of $1,520 on the three investments.The client should invest $____ in AAA bonds, $____ in A bonds, and $____ in B bonds.
Click here to see answer by ikleyn(52787) |
Question 1128090: A Broadway theater has 400 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $70, main seats for $55, and balcony seats for $35. If all the seats are sold, the gross revenue to the theater is $20,400. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $17,600. How many are there of each kind of seat? there are ___ orchestra seats, ____main seats, and ___ balcony seats.
Click here to see answer by ikleyn(52787) |
Question 1128177: I need to solve this question by creating a system of equations but I can't figure out how to set it up:
The parent-teacher organization is selling baskets of cookies for a school fundraiser. The materials needed to make each basket cost $3.75, and the baskets are being sold for $10 each. If they spend $75 to advertise their sale, how many baskets must be sold to break even?
Click here to see answer by Boreal(15235)  |
Question 1128611: 1. define the variables used in the situation
2. translate the situation using an equality
3. represent the situation in the Cartesian plane and shade the solution set.
A parking lot has a surface of 720 m^2. Each car occupies an area of 6m^2 and each bus occupies an area of 18m^2
Please help!
Click here to see answer by rothauserc(4718)  |
Question 1129186: Use any method to solve the nonlinear system. (Order your answers from smallest to largest x, then from smallest to largest y. If there is no solution, enter NO SOLUTION.)
x^2 + y^2= 6
xy= 1
Can someone help, I use the method of and my final answers, which keeps being tagged incorrect, have been:
x:  -1, y:  +1
x: - +1, y: - -1
x: +1, y: -1
x: - -1, y: - +1
Am I just incorrectly ordering them from smallest to least or are the entire answers wrong?
Here is some of my work:
For x^2 + y^2= 6, substitute x with 1/y.
(1/y)^2 +y^2= 6;
For xy=1, substitute y with +1
x( +1 )=1
x= -1
For xy=1, substitute y with -1
x( -1 )=1
x= +1
For xy=1, substitute y with - +1
x(- +1 )=1
x= - -1
Click here to see answer by josgarithmetic(39617) |
Question 1129186: Use any method to solve the nonlinear system. (Order your answers from smallest to largest x, then from smallest to largest y. If there is no solution, enter NO SOLUTION.)
x^2 + y^2= 6
xy= 1
Can someone help, I use the method of and my final answers, which keeps being tagged incorrect, have been:
x: -1, y: +1
x: - +1, y: - -1
x: +1, y: -1
x: - -1, y: - +1
Am I just incorrectly ordering them from smallest to least or are the entire answers wrong?
Here is some of my work:
For x^2 + y^2= 6, substitute x with 1/y.
(1/y)^2 +y^2= 6;
For xy=1, substitute y with +1
x( +1 )=1
x= -1
For xy=1, substitute y with -1
x( -1 )=1
x= +1
For xy=1, substitute y with - +1
x(- +1 )=1
x= - -1
Click here to see answer by MathLover1(20850)  |
Question 1129186: Use any method to solve the nonlinear system. (Order your answers from smallest to largest x, then from smallest to largest y. If there is no solution, enter NO SOLUTION.)
x^2 + y^2= 6
xy= 1
Can someone help, I use the method of and my final answers, which keeps being tagged incorrect, have been:
x: -1, y: +1
x: - +1, y: - -1
x: +1, y: -1
x: - -1, y: - +1
Am I just incorrectly ordering them from smallest to least or are the entire answers wrong?
Here is some of my work:
For x^2 + y^2= 6, substitute x with 1/y.
(1/y)^2 +y^2= 6;
For xy=1, substitute y with +1
x( +1 )=1
x= -1
For xy=1, substitute y with -1
x( -1 )=1
x= +1
For xy=1, substitute y with - +1
x(- +1 )=1
x= - -1
Click here to see answer by ikleyn(52787) |
Question 1129187: Construct a system of nonlinear equations to describe the given behavior, then solve for the requested solutions.
Two positive numbers add up to 820. One number is twice the square of the other number. What are the numbers?
Click here to see answer by Shin123(626)  |
Question 1129217: "The radiator in your car contains 4 gallons of antifreeze and water. The mixture is 45% antifreeze. How much of the mixture should be drained and replaced with pure antifreeze in order to have a 60% antifreeze solution? Solve as a system of linear equations in two variables and round to the nearest tenth of a gallon."
Click here to see answer by josmiceli(19441)  |
Question 1129497: Use a system of linear equations with two variables and two equations to solve.
A concert manager counted 625 ticket receipts the day after a concert. The price for a student ticket was $12.50, and the price for an adult ticket was $17.00. The register confirms that $9,950.00 was taken in. How many student tickets and adult tickets were sold?
I can solve the equation, but I just need someone to clearly explain how to equation should be set up in order to solve it?
Click here to see answer by josgarithmetic(39617) |
Question 1129497: Use a system of linear equations with two variables and two equations to solve.
A concert manager counted 625 ticket receipts the day after a concert. The price for a student ticket was $12.50, and the price for an adult ticket was $17.00. The register confirms that $9,950.00 was taken in. How many student tickets and adult tickets were sold?
I can solve the equation, but I just need someone to clearly explain how to equation should be set up in order to solve it?
Click here to see answer by MathTherapy(10552)  |
Question 1129575: Use a system of linear equations with two variables and two equations to solve.
A jeep and BMW enter a highway running east-west at the same exit heading in opposite directions. The jeep entered the highway 30 minutes before the BMW did, and traveled 9 mph slower than the BMW. After 3 hours from the time the BMW entered the highway, the cars were 397.5 miles apart. Find the speed of each car, assuming they were driven on cruise control.
*Can someone please explain how to correctly solve the problem. I've tried but keeping the incorrect answers. thanks
Click here to see answer by Boreal(15235) |
Question 1129611: Can someone help with the is problem?
Use a system of linear equations with two variables and two equations to solve.
A concert manager counted 625 ticket receipts the day after a concert. The price for a student ticket was $12.50, and the price for an adult ticket was $17.00. The register confirms that $9,950.00 was taken in. How many student tickets and adult tickets were sold?
Click here to see answer by josgarithmetic(39617) |
Question 1129615: Use a system of linear equations with two variables and two equations to solve.
A moving company charges a flat rate of $120, and an additional $8 for each box. If a taxi service would charge $20 for each box, what is the minimum number of boxes you would need for it to be cheaper to use the moving company?
What would be the total cost?
Click here to see answer by ikleyn(52787) |
Question 1129627: Would someone please help explain what the question means by infinite solutions with the term of x. The answers I’ve gotten are 1.16( with a repeating line above 6) and 1.4.
Solve the system by any method. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, enter the general solution in terms of x, where x is any real number.)
6x − 8y = −4.2
3x + 2y = 6.3
Click here to see answer by math_helper(2461) |
Question 1129640: A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 32 grams.
Write an exponential equation f(t) representing this situation. (Let f be the amount of radioactive substance in grams and t be the time in minutes.)
To the nearest minute, what is the half-life of this substance?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1129640: A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 32 grams.
Write an exponential equation f(t) representing this situation. (Let f be the amount of radioactive substance in grams and t be the time in minutes.)
To the nearest minute, what is the half-life of this substance?
Click here to see answer by greenestamps(13200) |
Question 1129736: can someone please correctly help explain how the gaussian elimination works as this is my first encounter of the concept:
Solve the system by Gaussian elimination. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, enter a general solution in terms of one of the variables.)
x + y + z= 14
2y + 3z= −14
−16y − 24z= −112
Click here to see answer by MathLover1(20850) |
Question 1129777: a Chemist has a 60% acid solution and a 20% acid solution. Write an equation to answer this question: How many milliliters of each should be used to make 140ml of a 35% acid solution? Let x represent the number of ml of the 60% acid solution. Solve the equation and write the answer to the question.
Click here to see answer by josgarithmetic(39617) |
Question 1129779: Pipe A can fill a tank in five hours pipe B can fill it in two hours less than it takes pipe C, a drain pipe ,to empty the tank. with all three pipes open it takes three hours to fill the tank. how long would it take pipe C to empty it?
Click here to see answer by josmiceli(19441) |
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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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