Questions on Algebra: Linear Algebra (NOT Linear Equations) answered by real tutors!

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Question 82372: Beavis and Butthead steal their neighbor's riding lawnmower and drive away at a constant speed of 15 miles per hour. Five minutes later, their neighbor jumps onto Butthead's skateboard and chases after them at a constant speed of 20 miles per hour. Find the neighbor's travel time needed to catch Beavis and Butthead. Give your final answer in hours.
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Question 82406: Solve the system by addition.
3x + 2y = –18
x + 4y = 14

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Question 82387: Solve the system by substitution.
x – 4y = –19
–4x – 5y = 13

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Question 82478: what does an answer "no solution" mean graphically?
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Question 82488: can you please simplify y=(x-1)^2(x-3)^3 for me, leaving the "y" isolated on the one side and just simplifying the other? Thank you very much. I would appreciate it ASAP
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Question 82556: Solve the system by addition or substitution.
–6x + 3y = 12
y = 2x + 3

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Question 82522: Solve the system by substitution.
2x + 2y = 14
y = –3x + 9
Hint: You must find both the x and the y values for full credit.

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Question 82582: what is the order of the following matrix?
|1-12|
|1-2|
|11-2|

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Question 82693: I am lost, please help
solve the system by addition
3x-2y=17
x-3y=1

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Question 82786: Can someone help me with the following problem?
An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of each side of the square to be cut out.
a)Find the function V that represents the volume of the box in terms of x.
b)Graph this function and show the graph over the valid range of the variable x.
c)Using the graph, what is the value of x that will produce the maximum volume?
Thank you so much for your assistance...

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Question 82789: C=nE/nr+R
solve for R

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Question 82846: Linear system addition and subtraction
im having trouble showing my work to get these answers
question 1 answer = (-1,3)
x/3 + y/2 = 1/6
x - 6y = 8

question 2 answer = (2,-1)
3x + 5y = 12
7x + 5y = 8

Click here to see answer by jim_thompson5910(28598) About Me 

Question 83425: Please help me solve this:
For a fixed rate, a fixed principal amount and a fixed compounding cycle, the return is an exponential function of time. Using a formula, let r = 10%, P = 1 and n = 1 and give the coordinates (t,A) for the points where t = 0,1,2,3,4. Round your answer to the nearest tenth's place.

Click here to see answer by jim_thompson5910(28598) About Me 
Question 83425: Please help me solve this:
For a fixed rate, a fixed principal amount and a fixed compounding cycle, the return is an exponential function of time. Using a formula, let r = 10%, P = 1 and n = 1 and give the coordinates (t,A) for the points where t = 0,1,2,3,4. Round your answer to the nearest tenth's place.

Click here to see answer by stanbon(57439) About Me 

Question 83534: The question states: Find the descriminant and the nature of the roots for 4x^2+2x+5=0. I know the descriminant is -76 but what is the nature of the roots?
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Question 83533: The question states: Determine the nature of the roots: 5x^2-50x+125=0.
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Question 83532: I am having a problem with this one:
Solve using the quadratic formula. 2x^2-1=6x

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Question 83564: The question is: Almonds worth $8.75/lb mixed with peanuts worth 4.75/lb take how many pounds of each to make an 80lb mixture worth $6.50/lb?
I have tried solving by addition with 8.75a + 4.75p = 80(6.50) or $520 by mutiplying a+b=80 by -4.75 to eliminate the peanuts.The result I get is 4.75a=$520-$380 or $140. $140/4.75 is 29.47 for almonds which is wrong. I have the correct answer and my calculation doesn't match the answer and I don't know what I'm doing wrong. I need to know the right way to get to 45lbs of almonds and 35 lbs of peanuts.
This is not from a textbook but a final review.
Thank you very much

Click here to see answer by jim_thompson5910(28598) About Me 

Question 83972: Hi! I have a question on how to work this problem. I know what the answer would be if they said what temperature would it be after 3 hours, but I do not even know what a linear relationship is.
The problem: Write a linear relationship that describes the out side temperature, T, as a function of the number of hours since 8:00am., h. At 8:00am the outside temperature was 76(degrees)F and each hour the temperature rose 3 degrees.
Thanks for your help,
Melissa

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Question 84071: x/6=42 true or false?
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Question 84243: a. Find the equation of the straight line joinging the points (1,2) and (-3,5).
b. Find the equation of the straight line passing through the point (1,2) and perpendicular to the above straight line.
c. What is the point of intersection fo the two lines?
d. Algebraically verify your answer to above part of the problem.

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Question 84332: EQUATIONS WITH RATIONAL EXPRESSIONS
WRITE LCM OF THE DENOMINATORS. THEN SOLVE EACH EQUATIONS. (NO DENOMINATOR EQUALS ZERO).
1/3x + 1/4 = 1x {____}

LCM of denominators: __________

Click here to see answer by funmath(2925) About Me 

Question 84341: what is the size of the matrix below?

3 1 4
2 0 2
1 1 1
-2 4 3


A. 3 X 4
B. 4 X 4
C. 4 X 3
D. 3 X 3

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Question 84192: (3x-2)^4(5y2+2)^7
__________________
(3x-2)^9(5y^+2)^3

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Question 84382: ADD OR SUBTRACT. SIMPLIFY.
3/(x^2+2x-8) + 2/(x^2-2x)


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Question 84697: Please help me solve this equauation.
Solve each problems

19. The current in a simple electrical circuit is inversely proportional to the resistance.If the current is 80 amp when the resistance is 30 ohms, find the current when the resistance is 12 ohms.
20. Write the equation that expresses the variation used in problem 19.

Thank you very much!

Click here to see answer by uma(370) About Me 

Question 84764: The maximum value of z = 5x + 4y subject to
3x + y < 24
6x + 4y < 66
x > 0, y > 0 is
A. 96
B. 66
C. 56
D. 40

Click here to see answer by Edwin McCravy(8924) About Me 

Question 84766: When the constraint 6x1 + 17x2 < 28 is converted to an equation, the equation is

A. 6x1 + 17x2 = 28
B. 6x1 + 17x2 - 28 = 0
C. 6x1 + 17x2 + s1 = 28
D. 6x1 + 17x2 - s1 = 28

Click here to see answer by Edwin McCravy(8924) About Me 

Question 84763: Select the point which is in the feasible region
of the system of inequalities.
2x + 3y < 8
5x + 2y < 7
x > 0, y > 0

A. (1,2)
B. (1,1)
C. (0,3)
D. (3,2)

Click here to see answer by Edwin McCravy(8924) About Me 

Question 84765: An artist is painting a supply of small paintings to sell at an arts festival. He can paint three landscapes per hour and two seascapes. He can frame five paintings an hour. He has 50 hours available for painting and 25 hours for framing. How many of each type of painting should he paint and frame in order to maximize the total value of the paintings. He receives $25 each for the landscapes and $30 each for the seascapes.

A. Maximum value = $4,375 for 75 landscapes and 50 seascapes
B. Maximum value = $3,375 for 75 landscapes and 50 seascapes
C. Maximum value = $4,375 for 50 landscapes and 75 seascapes
D. Maximum value = $3,375 for 50 landscapes and 75 seascapes

Click here to see answer by ankor@dixie-net.com(15670) About Me 

Question 84975: A linear programming feasible region is determined by

6x + 3y (is less or equal to) 72
5x + 15y (is less or equal to) 185
x^3 0, y (is greater or even to) 0

Which of the follwoing objective functions has its maximum value at the intersection of

6x + 3y = 72 and
5x + 15y = 185


A. Z = 10x + 10y
B. Z = 5x + 2y
C. Z = 2x + 8y
D. Z = 21x + 7y

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Question 85026: |y| =8
Click here to see answer by tutorcecilia(2152) About Me 

Question 85027: A new fax machine was recently purchased for an office in Hopedale for $464.40 including tax. If the tax rate in Hopedale is 8%, find the prince of the fax machine before taxes.
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Question 85024: My parents live 1200 miles away and my SUV gets 24 miles to the gallon! If gas costs $2.99 / gallon, how much will fuel cost?
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Question 85025: A small plane’s maximum takeoff weight for passengers, luggage, and cargo is 2000 pounds. Six passengers weight an average of 160 pounds each. Use an inequality to find the maximum weight of luggage and cargo the plan can carry.
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Question 85252: Solve for x:
-3(4x+3)-2=7-2x+3

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Question 85249: Translate to an algebra statement; do not solve
Twice the difference of seven times a number and four yields the same result as the same number increased by six.

Click here to see answer by praseenakos@yahoo.com(507) About Me 

Question 85251: Solve for x:
(x+3)/4-3/2=(x+4)/8

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Question 85298: Can anyone please solve this problem for me
1) Translate to an algebra statement; do not solve
Twice the difference of seven times a number and four yields the same result as the same number increased by six.

Click here to see answer by Lacey020991(49) About Me 

Question 85265: Maximize z = 14x + 22y subject to

2x + 2y (is greater or equal to) 20
8x + 5y (is less or equal to) 40
x (is greater or equal to) 0, y (is greater or equal to) 0

This linear programming problem has

A. A unique solution
B. Multiple solutions
C. unbounded solution
d. no feasible solution

Click here to see answer by scianci(186) About Me 

Question 85263: The minimum value of z = 4x + 10y subject to

3x + y (is less or equal to) 24
6x + 4y (is less or equal to) 66
x (is more or equal to) 0, y (is more or equal to) 0
is

A. 165
B. 110
C. 44
D. 32

Click here to see answer by scianci(186) About Me 

Question 85262: Which point is not a corner of the feasible region of the system of inequalities

x + 2y (is less or equal to) 10
3x + y (is less or equal to) 10
x (is more or equal to) 0, y (is more or equal to) 0

A. (10/3, 0)
B. (2,4)
C. (0,5)
D. (10,0)

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Question 85559: Two cars leave Dallas; one is traveling south on I-45 at 65 mph. The other travels north at 70 mph. They are talking to each other on walkie talkies. They can only talk to each other if they are within 20 miles of each other. How long will it be before the cars are 20 miles apart?
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Question 85560: Suppose that $18,000 is invested in two types of bonds for one year. part of the money is invested in a high-risk, high-growth fund that earned 24% annual interest. The rest is invested in a safe fund that earned 5% annual interest. If $2320 in interest is earned, how much was invested in each account?
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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