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

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Question 155233: Frank can complete a job in 5 hours. Joe can do it in 8 hours. After Frank had worked for two hours, Joe was asked to help Frank complete the job. In how many hours after Joe has started will they complete the job?
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Question 155560: 2x+3/5 = x-4 / 2
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Question 155587: how to factor 30x-10
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Question 155761: Hi, I'm having a difficult time with this words problem from chapter 1.5, i would really appreciate it if you can help me sove for it. Thanks.
11. A chess tutor charges a fee for the first lesson that is 1.5 times the fee for the later lessons. You spend $315 for 10 lessons. How much does the first lessons cost? How much does a later lesson cost?

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Question 155844: 2b(4b-7b+3c)
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Question 155901: What is the solution for 5x + 4y = 12 we are solving for y
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Question 156450: -2y + 8 < 24 How do you solve this problem it came from ab discussion question.
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Question 156217: parallel or perpendicular? 2x-7y=5 and 2y-7x=7
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Question 156258This question is from textbook Algebra 2
: xy+3x=25 x=5This question is from textbook Algebra 2

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Question 156658: can i ask u how to show that B is a subset of V
as V={(a,b,c)|a-b=c} and B={(0,-1,1),(1,-1,2)}

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Question 156676: Please help me solve for Y
1) 2xy + 1 = xy + 3
2) 3/4x + 4/7y = 5/4x - 1
3)3/5y-4x = 3-2y

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Question 156717This question is from textbook
: A new 24000 dollars car depreciates in value 5000 dollars per year. Construct a linear function for the value V of the car after t years. This question is from textbook

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Question 156606This question is from textbook Holt Algebra II
: Decode the following message. Each letter could be thought of as an integer on
the number line ( A=1,b=2 etc). If you arrange the letters so that all the
inequalities are true, the message will be clear.
S < R   F < O   R < L
T > S   N > U   C < H
L < U   T < A   N < C
H > L   O < H   U > A
Y < F   Y > A   R > O
This question is from textbook Holt Algebra II

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Question 157043: Al makes $30 an hour. Bill makes $20 an hour. Bill joins Al on the job four hours after Al started. They finish the job, and the total cost for labor comes to $470. How many hours did each work?
By trial and error, I know that the number of hours is 11 for Al and 7 for Bill. I just need to show the work.
Al - 11 hours @ $30/hour = 330
Bill - 7 hours @ $20/hour = 140
Total = 470
Here is the equation that I came up with for figuring the number of hours each worked - where X=Al's hours and X-4 = Bill's hours. I'm fairly certain this equation is correct.
$470 = 30X + 20(x-4)
It's at this point that I get stuck. Any help would be greatly appreciated!

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Question 157043: Al makes $30 an hour. Bill makes $20 an hour. Bill joins Al on the job four hours after Al started. They finish the job, and the total cost for labor comes to $470. How many hours did each work?
By trial and error, I know that the number of hours is 11 for Al and 7 for Bill. I just need to show the work.
Al - 11 hours @ $30/hour = 330
Bill - 7 hours @ $20/hour = 140
Total = 470
Here is the equation that I came up with for figuring the number of hours each worked - where X=Al's hours and X-4 = Bill's hours. I'm fairly certain this equation is correct.
$470 = 30X + 20(x-4)
It's at this point that I get stuck. Any help would be greatly appreciated!

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Question 157173: What is the equation of the line that passes through the point (-1,7) and is parallel to the line y=-2x-1?
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Question 157170: What is the equation of the line that passes through the point (1,5) and has a slope of -3?
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Question 157172: What is the equation of the line that passes through the point (-2,-3) and has a slope of 4?
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Question 157338: I cannot seem to figure this one out, I've figure all 5 problems before hand on my assignment but can't seem to get this one, and it looks so simple, can anyone help
18X + Y = 42, 6X - 3Y = -6

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Question 157344This question is from textbook
: A teacher's union has negotiated a uniform salary increase for each year of service up to 20 years. If a teacher started at 27000 dollars and 4 years later had a salary of 33000 dollars, what function would describe the teacher's salary over time?This question is from textbook

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Question 157571: 5x-3=15-4x
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Question 157571: 5x-3=15-4x
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Question 157571: 5x-3=15-4x
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Question 157621This question is from textbook Geometry
: I think this is the right category...
this is really throwing me off:
2.7(z-7)+6=2.1(3z+1)
I'm not sure which step to take first in the order of operations: PEMDAS. Please help me! i need to get this done.
This question is from textbook Geometry

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Question 158114: A change maching contains nickels,dimes, and quarters. There are 75 coins in the machine, and the value of the coins is $7.25. There are 5 times as many nickels as dimes. Find the number of coins of each type in the machine.
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Question 158116This question is from textbook Algebra 2
: Solve this system:

This question is from textbook Algebra 2

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Question 158217This question is from textbook
: Consider the function f(x) = 12.
What is f(0)?
f(16)?
f(-16.4)?
This question is from textbook

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Question 158115This question is from textbook Algebra 2
: Ten apples cost a penny, and 25 pears cost two pennies. Suppose I buy 100 apples and pear for 9 1/2 pennies. How may of each shall I have?This question is from textbook Algebra 2

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Question 158113: A company place $1,000,000 in three different accounts. It placed part in short-term notes paying 4.5% peryear, twice as much in government bonds paying 5% per year, and the rest in utility bonds paying 4%. The income after one year is $45,500. How much did the company place in each account?
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Question 158228This question is from textbook
: Construct the equation of a line that goes through the origin and is perpendicular to the given equation.
(a)y = 5
x = ?

(b)x = -7
y = ?
This question is from textbook

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Question 158618This question is from textbook
: I need help with linear model
the cost of producing 4 units is 204.80 the cost of producing 8 units is 209.60 how much does it cost to produce 12 units
This question is from textbook

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Question 158777This question is from textbook Algebra 2
: Graph a line through(-4,1) that is perpendicular to a line whose slope is -3/2.This question is from textbook Algebra 2

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Question 158844: a linear model for the total number y of a particular brand of television set sold over x years contains the points A(2, 2,600), B(5, 3,500) , and C(10, 5,000)
how mant television sets were sold after 2 years?

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Question 159149This question is from textbook Linear Algebra and its applications
: Given the matrix A=
1 1 1
1 2 3
1 4 5
Find a 3X3 matrix, B, that is not the identity matrix or the zero matrix such that AB = BA
Thank you
This question is from textbook Linear Algebra and its applications

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Question 159151: A rectangular painting with the width of x centimeters has an area of x^2+50x square centimeters. Find the binomial that represents the length. area=x^2+50x cm^2
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Question 159253This question is from textbook Holt Algebra 2
: 3t - r = 9
r = 2t + 8
i am a parent trying to show my child how to do this and i need to know how to do it step by step. i can look at it and figure out some of it but need to know what to do first, second, etc.
This question is from textbook Holt Algebra 2

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Question 159248: Seven years ago, Kodi found a box of old baseball cards in the garage. Since then, he has added a consistent number of cards to the collection each year. He had 52 cards in the colection after 3 years and now has 108 cards.
How many cards were in the original box?
Kodi plans to keep the collection for a long time. How many cards will the collection contain 10 years from now?
Write a rules that determines the number of cards in the collection after n years. What does each number in your rule represent?

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Question 159308: If the line is perpendicular to 3x-4y=2 and B=2 then solve for A. Keeping in mind the equation Ax+By=13
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Question 159531: please help me solve this problem: 1 3/5x-2 1/4=1 2/3
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Question 159528: please help me solve this problem: 1 3/5x-2 1/4=1 2/3
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Question 159753: Use a linear combination to solve the system.
5x + y = 6
-5x + 3y = -22

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Question 159755: Use any convenient method to solve the system.
4x - 16y =4
-3x + 12y =-3

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Question 159755: Use any convenient method to solve the system.
4x - 16y =4
-3x + 12y =-3

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Question 159754: Use substitution to solve the system.
x - 7y = -10
3x + 2y = 10

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Question 160050: x+5y-z=16
3x-3y+2z=12
2x+4y+z=20
Please help me solve this. I have tried and keep getting a decimil point that doesn't fit in.

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