Questions on Algebra: Evaluation of expressions, parentheses answered by real tutors!

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Tutors Answer Your Questions about expressions (FREE)


Question 570184: 33+1/14+1/2+1/42
Answer by JBarnum(1826) About Me  (Show Source):
You can put this solution on YOUR website!
u want it in fraction form or decimal?
1/2=21/42
21+1=22
22/42
1/14=3/42
22+3=25
25/42+33
33=1386/42
1386+25=1411
1411/42=33.5952


Question 569625: 3x/5 -6=x
Answer by JBarnum(1826) About Me  (Show Source):

Question 568788: 4w^3/28w^2
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
4w^3/28w^2 = (4/28)(w^3/w^2) = (1/7)(w^(3-2)) = (1/7)w^1 = w/7


So 4w^3/28w^2 = w/7 for all values of w where w is not equal to zero
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Question 569067: can you help me with this binomial 3w(12w-1)-8w
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
3w(12w-1)-8w


3w(12w)+3w(-1)-8w


36w^2-3w-8w


36w^2-11w


w(36w-11)

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Question 568984: pretty sure i'm in the wrong place, but couldn't find a subject to suit
find derivatives of y=x^2-3x+1/x

Answer by Theo(2967) About Me  (Show Source):
You can put this solution on YOUR website!
looks like calculus.
i didn't see a category for calculus.
i put it in evaluation of expressions because this is an expression and you are evaluating it by finding the derivative.
might be a stretch, that was my best guess.
i don't remember a lot about calculus, but i do remember the rules are:
derivative of ax^n equals n * a * x^(n-1)
a is the coefficient.
x is the variable.
using those rules, i would say the derivative of x^2 - 3x + 1/x would be calculated as follows:
rewrite the equation as the equivalent expression of:
x^2 - 3x + 1x^(-1)
take the derivative following the rules to get:
2x - 3 - 1x^(-2) which results in:
2x - 3 - 1/x^2 which can be rewritten as:
2x - 1/x^2 - 3
i found a calculator on the web that differentiates equations.
that calculator can be found at:
http://freemathhelp.com/derivative-calculator.php?diff=x^2-3*x%2B1%2Fx&var=x&Submit=Get+Derivative
it gave me the same answer.
i believe this calculator needs you to explicitly enter multiplication operators.
your equation of x^2 - 3x + 1/x should be entered as:
x^2 - 3*x + 1/x


Question 568484: 5
- x = -3+x
6

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2F6%29x=-3%2Bx


%285%2F6%29x-x=-3


-%281%2F6%29x=-3


x=-3%28-6%29


x=18
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Question 568397: (4y^2-5y)+(3y-7y^2)-(2y^2+6y-5)
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
%284y%5E2-5y%29%2B%283y-7y%5E2%29-%282y%5E2%2B6y-5%29 Start with the given expression.


4y%5E2-5y%2B3y-7y%5E2-2y%5E2-6y%2B5 Distribute


%284y%5E2-7y%5E2-2y%5E2%29%2B%28-5y%2B3y-6y%29%2B5 Group like terms


-5y%5E2-8y%2B5 Combine like terms


So %284y%5E2-5y%29%2B%283y-7y%5E2%29-%282y%5E2%2B6y-5%29 simplifies to -5y%5E2-8y%2B5


In other words, %284y%5E2-5y%29%2B%283y-7y%5E2%29-%282y%5E2%2B6y-5%29=-5y%5E2-8y%2B5 for all values of y.
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Question 567161: a refrigerator repairman charges $50.00 per service call and $25.00 per hour to repair the appliance what is the equation
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
The equation is c = 25h+50 where c is the total cost and h is the number of hours.


Question 567702: the total of 3 times the smaller and twice the larger is 27
3 (12-n) + 2n = 27
the smaller
and larger numbers?

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
3%2812-n%29%2B2n=27 Start with the given equation.


36-3n%2B2n=27 Distribute.


-n%2B36=27 Combine like terms on the left side.


-n=27-36 Subtract 36 from both sides.


-n=-9 Combine like terms on the right side.


n=%28-9%29%2F%28-1%29 Divide both sides by -1 to isolate n.


n=9 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is n=9


Question 567810: 8s+4t+11s
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
8s+4t+11s

(8s+11s)+4t

19s+4t


Question 567497: P=5n+5w
Answer by nyc_function(2626) About Me  (Show Source):
You can put this solution on YOUR website!
I work 32 hours on the weekend and now is when I have some time to reply to student questions.

You need to solve for n NOT N. Big difference between little n and big N.

P = 5n + 5w

The goal is to isolate the letter you are solving for.

Begin by subtracting 5w from both sides.

P - 5w = 5n + 5w - 5w

As you know, positive and negative terms cancel out.

So, on the right side, 5w and -5w cancel out.

We now have P - 5w = 5n.

To solve for n, divide both sides by the coefficient of n, which is 5.

Final answer: P - 5w/5 = n, which can also be written n = (P - 5w)/5

Done!


Question 566547: 28(y-1/7)=
Answer by rfer(10417) About Me  (Show Source):

Question 565860: Evaluate the expression. -[-22]?
Answer by ad_alta(170) About Me  (Show Source):

Question 565285: evaluate 7xy if x=2 and y=3
Answer by kingme18(97) About Me  (Show Source):
You can put this solution on YOUR website!
When you're asked to evaluate, it means to plug in. 7xy means 7%2Ax%2Ay; if you plug in x=2 and y=3, you have 7%2A2%2A3, which equals 42.


Question 565036: How do I write an expression for the perimeter of a rectangle with its width 6x+5 and length 3x
Answer by ad_alta(170) About Me  (Show Source):
You can put this solution on YOUR website!
Remember that the perimeter (P) is equal to 2w+2l for length 'l' and width 'w.' So the expression would be 2(6x+5)+2(3x)=18x+10.


Question 565038: How do I write an expression for the perimeter of a rectangle with its width 6x+5 and length 3x
Answer by stanbon(48516) About Me  (Show Source):
You can put this solution on YOUR website!
How do I write an expression for the perimeter of a rectangle with its width 6x+5 and length 3x
-------
Perimeter = 2(width + length)
-----
P = 2(6x+5 + 3x)
----
P = 2(9x+5)
---
P = 18x+10
===============
Cheers,
Stan H.
===============


Question 564939: how do i solve k(k-3)=28
Answer by issacodegard(60) About Me  (Show Source):
You can put this solution on YOUR website!
Distribute the k:
k(k-3)=28
k*k-k*3=28
k^2-3k=28
Subtract 28:
k^2-3k-28=0
Factor:
(k-7)(k+4)=0
Since the product of two expressions is zero for some k, one of them must be zero. This implies:
k-7=0 OR k+4=0
This implies:
k=7 OR k=-4


Question 563893: i have this question 3a5 x(multiply) 5a3
---------------------
10A4 I HAVE TO WRITE IT IN SINGLE TERM IN INDEX FROM

Answer by mananth(10541) About Me  (Show Source):
You can put this solution on YOUR website!
%283a%5E5%2A5a%5E3%29%2F10a%5E4
In the numerator since it is a product multiply the co-rfficients and add up the exponents
we get 15a%5E8
15a%5E8%2F10%5E4
%2815%2F10%29%2Aa%5E%288-4%29

%283%2F2%29%2Aa%5E4

OR
3a%5E4%2F2


Question 563371: How do you write mixed numbers as a percent?
What is 2 51/125 written as a percent

Answer by nicky429(3) About Me  (Show Source):
You can put this solution on YOUR website!
251 divided by 125 is 2.00800
Therefore it would by 200.8% (about)


Question 563359: Let f(x)= 2x^2 -x +1 and g(x)= SQUARE ROOT OF(5-x).... Find and simplify each of the following:
1) g(-19)
2) g^-1(x)
3) (f o g)(4)
4) g^-1(1)

Answer by stanbon(48516) About Me  (Show Source):
You can put this solution on YOUR website!
Let f(x)= 2x^2 -x +1 and g(x)= SQUARE ROOT OF(5-x).... Find and simplify each of the following:
1) g(-19) = sqrt(5+19) = sqrt(24)
-------------------------------------
2) g^-1(x)
Given y = sqrt(5-x)
Interchange x and y:
x = sqrt(5-y)
5-y = x^2
y = 5-x^2
g^-1(x) = 5-x^2
-------------------------------------
3) (f o g)(4) = f[g(4)] = f[sqrt(1)] = 1 = 2-1+1 = 2
-------------------------------------
4) g^-1(1)
g^-1(1) = 5-1^2 = 4
===========================
Cheers,
Stan H.
===========================


Question 562878: The difference of two numbers is 4. 5 times the smaller number is four more than three times the larger. Find the two numbers
Answer by Maths68(1140) About Me  (Show Source):
You can put this solution on YOUR website!
Let x (smaller) and y (larger) be the two numbers

The difference of two numbers is 4
y-x=4
y=4+x..............(1)
5 times the smaller number is four more than three times the larger
5x=3y+4..............(2)
Put the value of y in above equation
5x=3(x+4)+4
5x=3x+12+4
5x=3x+16
5x-3x=16
2x=16
2x/2=16/2
x=8
Put the value of x in (1)
y=4+x..............(1)
y=4+8
y=12

Two numbers are = 8, 12


Question 562739: I am doing a worksheet in math , and one of the question's is asking me to evaluate ( 1/8 ) to the exponent negative 1/3 ?
Answer by mananth(10541) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F8%29%5E%281%2F3%29
that means cuberoot of (1/8)
=1%2F2


Question 561822: 1. Half of a number
1b. the quotient of a number and 6
1c 8 less than a number
1d the sum of g and h
1e. the product of negative 4 and a number
1f.freddy bought g giraffes that cost $1500 each

Answer by Edwin McCravy(6932) About Me  (Show Source):
You can put this solution on YOUR website!
1a. Half of a number

    1%2F2n 

1b.  The quotient of a number and 6

    n%2F6

1c. 8 less than a number

    n - 8

1d. the sum of g and h

    g + h

1e. the product of negative 4 and a number

    -4n

1f. freddy bought g giraffes that cost $1500 each

    1500g

Edwin


Question 561681: Is y-m*x=b the same as y=mb+x?
Found 2 solutions by stanbon, richard1234:
Answer by stanbon(48516) About Me  (Show Source):
You can put this solution on YOUR website!
Yes
---
Cheers,
Stan H.

Answer by richard1234(4789) About Me  (Show Source):
You can put this solution on YOUR website!
No, the first equation is equivalent to y = mx + b. Compare with y = mb + x.


Question 561689: -5a^2,a=2
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
-5a%5E2


-5%282%29%5E2


-5%284%29


-20


So -5a%5E2=-20 when a=2
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Question 561186: simplify
8/9 x 5/6 -1/6



2[5+2(7-4)]

Answer by rfer(10417) About Me  (Show Source):
You can put this solution on YOUR website!
40/54-1/6
40/54-9/54=31/54
----------------
2[5+6]
2[11]=22


Question 560626: Simplify. Please show all of your work.
44/48

Answer by Maths68(1140) About Me  (Show Source):

Question 560631: Perform the indicated operation. Please show all of your work.
2/3 / 1/2

Answer by Maths68(1140) About Me  (Show Source):

Question 560365: 2(x+2y)-(x+3y)
Answer by kkasko(45) About Me  (Show Source):
You can put this solution on YOUR website!
2(x+2y)-(x+3y)
2x+4y-x-3y
x-y


Question 560241: please help me solve -14+(-20)+75+(-43)
Found 2 solutions by rapaljer, Maths68:
Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
The negative numbers represent DEBT, while postive numbers represent money in your favor. You can add the negatives togther first -14+-20 + -43, which is a total of -77, then add +75. Since total debt is more than total money in your favor, subtract, and you have a total debt of 2 dollars, i.e., -2.

For an explanation of this topic with lots of examples, exercises, and answers, please see my OWN website. To find my website, use the easy-to-remember and easy-to-spell website www.mathinlivingcolor.com. Then click on the link at the bottom of this page to take you to my Homepage.

Near the top of my Homepage, look for the link called "Basic, Intermediate, and College Algebra: One Step at a Time." Choose the "Basic Algebra" link, and look in "Chapter 1" for "Sections 1.03" on "Signed Numbers."

I have explanations on most topics from algebra that might be easier for you to understand than your own textbook. The entire website is FREE!! If anyone needs help finding a page on my website, send me an Email at rapaljer@seminolestate.edu.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus

Answer by Maths68(1140) About Me  (Show Source):

Question 559657: Estimate the value of 100 1/3
how did you get this answer

Answer by richard1234(4789) About Me  (Show Source):
You can put this solution on YOUR website!
100 and 1/3

Could probably be rounded to 100. How I got this answer...simply know that 100 1/3 is close to 100.


Question 559664: please help me solve this equation -8 + 5 (g + 2) + -2
Answer by Earlsdon(6098) About Me  (Show Source):
You can put this solution on YOUR website!
First, this is not an equation, it's an expression and you can't "solve" an expression.
Did you want to simplify this expression?
-8+5(g+2)+(-2) First, apply the distributive property to the middle term.
-8+5g+10+(-2) Now combine like-terms.
-8+10-2+5g simplify.
0+5g
The answer is 5g.


Question 558738: 5r=45

Answer by rfer(10417) About Me  (Show Source):

Question 557927: i understand how to add multiply and divide integers( neg. and pos.) numbers.However there is a whole chapter devoted to prob with par. and ive tried for hours to figure out what im doing wrong. 7+(-8)divided by 4 =. ok 7+-8=1 and four divided my one is four.. it says im wrong.. what am i doing wrong.also my key board doesnt have a division sign. Tanya
Answer by scott8148(5879) About Me  (Show Source):
You can put this solution on YOUR website!
there is a hierarchy (order) of operations ___ does PEMDAS ring a bell?

Parentheses Exponentiation Multiplication Division Addition Subtraction

in this case, division occurs before addition
___ (-8) / 4 = -2
___ 7 + (-2) = 5

you can use the fraction line (forward slash) to show division


Question 557549: simplify
3(4x-2)-6(x+1)-11x

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
3%284x-2%29-6%28x%2B1%29-11x Start with the given expression.

12x-6-6x-6-11x Distribute

-5x-12 Combine like terms.


So 3%284x-2%29-6%28x%2B1%29-11x simplifies to -5x-12


In other words, 3%284x-2%29-6%28x%2B1%29-11x=-5x-12 for all values of x

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Jim


Question 557079: Solve: 2(c-6) + 7c + 7c = 5 -3(c-2)
Answer by nihar_pp(1) About Me  (Show Source):

Question 555078: x - 3 (x-2) = 7x - (2x + 5) solve for x (I don't understand how to get to the solution although my maths teacher has explained it many times I don't understand the way he explained it)
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
x-3%28x-2%29=7x-1%282x%2B5%29 Start with the given equation.


x-3x%2B6=7x-2x-5 Distribute.


-2x%2B6=7x-2x-5 Combine like terms on the left side.


-2x%2B6=5x-5 Combine like terms on the right side.


-2x=5x-5-6 Subtract 6 from both sides.


-2x-5x=-5-6 Subtract 5x from both sides.


-7x=-5-6 Combine like terms on the left side.


-7x=-11 Combine like terms on the right side.


x=%28-11%29%2F%28-7%29 Divide both sides by -7 to isolate x.


x=11%2F7 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x=11%2F7

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Question 555829: 8x + 5y - 4z + 9y -3x + 13z =
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
8x + 5y - 4z + 9y -3x + 13z

(8x-3x) + (5y+9y)+(-4z+13z)

5x + 14y + 9z


So 8x + 5y - 4z + 9y -3x + 13z = 5x + 14y + 9z

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Question 555493: (x squared + 5y) squared
Answer by edjones(7311) About Me  (Show Source):
You can put this solution on YOUR website!
(x^2+5y)^2
=x^4+10x^2y+25y^2
.
Ed


Question 555275: simplify -5^2
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
-5^2 = -1*5^2 = -1*5*5 = -1*25 = -25

So -5^2 = -25

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Question 555017: ((2y^2-7y-15)/(3y^2-8y-3)) X ((9y^2-1)/(4y^2-9)) / ((y^2+3y-10)/(2y^2-9y+9))
It say to complete it but not to multiply factors.
And also everything is squared, the -7y or whatever after the ^2 is not included in the exponent.

Answer by Theo(2967) About Me  (Show Source):
You can put this solution on YOUR website!
as far as i can tell, your answer is number 4 in the attached diagram.
number 1 is my interpretation of your problem statement.
number 2 is the same equation after it has been factored and some obvious common terms in the numerator and the denominator have been removed because they will cancel out.
number 3 is making a/(b/c) equal to a*(c/b) and then removing some more obvious common terms in the numerator and the denominator that will cancel out.
number 4 is the result.
$$$$


Question 554843: Please help me solve this problem. -6+5(2x-8)
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
-6+5(2x-8)

-6+5(2x)+5(-8)

-6+10x-40

10x-46


So -6+5(2x-8) = 10x-46 for all x


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Question 554591: Find three ordered pairs that satisfy the equation.
y = 5x + 6
gruffin@comcast.net

Answer by stanbon(48516) About Me  (Show Source):
You can put this solution on YOUR website!
Find three ordered pairs that satisfy the equation.
y = 5x + 6
---
If x = 0, y = 6
If x = 1, y = 11
If x = 2, y = 16
=====================
Cheers,
Stan H.


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