Found 2 solutions by richard1234, solver91311:
Answer by richard1234(4789)
(Show Source):
You can
put this solution on YOUR website!L = 189/WH
W = 189/LH, since I don't know any other dimensions it's impossible. Also, what does "the box shown on the right" look like?
Answer by solver91311(12118) 
(Show Source):
You can
put this solution on YOUR website!
"...the box shown on the right..." Are you for real? This is Algebra.com, not the Psychic Hot Line. Use your head for something besides a hat rack next time you want to post here.
John
My calculator said it, I believe it, that settles it
Question 568698: what is the original algebraic expression of -8(10s)+(-8)(10t)
Answer by stanbon(48516) (Show Source):
You can
put this solution on YOUR website!what is the original algebraic expression of -8(10s)+(-8)(10t)
-------
-8[10s+10t)
-----
= -8*10(s+t)
-----
= -80(s+t)
===============
Cheers,
Stan H.
=================
Question 567955: give exact and approximate solutions to three decimal places. y^2-8y+16=49
I have tried and cannot work it out correctly
Answer by Earlsdon(6098) (Show Source):
You can
put this solution on YOUR website!Solve:
Subtract 49 from both sides.
Factor the trinomial.
Apply the zero product property.
or
If
Subtract 3 from both sides.
This is one solution.
If
Add 11 to both sides.
This the other solution.
Question 564416: 9x+14=6x-13
first move like terms to the same side.
9x+14-6x=6x-13-6x (whatever you do to one side you must do to the other)
3x+14= -13
3x+14-14= -13-14 (this isolates 3x)
3x=-13-14
3x=-27 (-13-14 start at minus 13 then subtract another 14(do not confuse with --))
divide both sides by 3
3x/3=-27/3
x=-9
Answer by ianhendry(1)
(Show Source):
You can
put this solution on YOUR website!9x+14=6x-13
first move like terms to the same side.
9x+14-6x=6x-13-6x (whatever you do to one side you must do to the other)
3x+14= -13
3x+14-14= -13-14 (this isolates 3x)
3x=-13-14
3x=-27 (-13-14 start at minus 13 then subtract another 14(do not confuse with --))
divide both sides by 3
3x/3=-27/3
x=-9
Question 566111: if x+y=13
x.y=36
what is x and y
Answer by Alan3354(21555) 
(Show Source):
Question 565109: Rewrite the following expression using the Distributive Law.
-5(v - 2x + 3)
would (-5v - 2x + -15) be the answer?
Answer by jim_thompson5910(21667) (Show Source):
Question 564936: Hello,
First of all thank you for this site!
My question is 1/3(4z-3)=4x-5. I have the answer as z=3x-3 from the book, but I don't know why. I can do distributive, and communitive property to solve for a variable in an equation with out an equal sign in the middle like:5(y+6)-4(1-y) is 9y+26, but I don't know what to do when there is an equal sign in the equation; unless it's something like solve for x: 4x+12=4+24. 4x=4+12 4x=16 x=4.
Thank you for any assistance, I have an exam tomorrow.
Nicole
Answer by htmentor(580)
(Show Source):
You can
put this solution on YOUR website!My question is 1/3(4z-3)=4x-5. I have the answer as z=3x-3 from the book, but I don't know why. I can do distributive, and communitive property to solve for a variable in an equation with out an equal sign in the middle like:5(y+6)-4(1-y) is 9y+26, but I don't know what to do when there is an equal sign in the equation; unless it's something like solve for x: 4x+12=4+24. 4x=4+12 4x=16 x=4.
We are trying to solve for z in terms of x
1/3(4z-3)=4x-5
The first step is to multiply both sides by 3:
4z - 3 = 12x - 15
Add 3 to both sides:
4z = 12x - 12
Now divide by 4 to get z by itself:
z = 3x - 3
Question 564461: Multiply. Show all of your work and be sure your answer is in simplest form.
-3/4 * -18
Answer by stanbon(48516) (Show Source):
Question 563560: If the parentesis are missing, how do you solve 3-5*4+2? Is it -17? Thanks
Answer by mananth(10541) 
(Show Source):
You can
put this solution on YOUR website!3-5*4+2
3-(5*4)+2
19
The rule for such additions is
division then multiplication then addition then subtraction
If parenthesis is given then first solve the parenthesis and then the order given
Question 563308: What property is used in 2-2?
Answer by richard1234(4789) (Show Source):
You can
put this solution on YOUR website!2-2 = 0, not much of an arithmetic property. However, the number -2 functions as the "inverse element" of 2. Generally speaking, if e is an identity element, * is a binary operation, and x is some number (2 in this case) then there exists a y such that x*y = e for all x.
Question 563165: solve the equation
6k + 2 = 26
Answer by Alan3354(21555) (Show Source):
Question 563159: I'm trying to find the perimeter of a rectangle when the length is x + 25 and the width is 2x
Answer by jim_thompson5910(21667) (Show Source):
Question 562792: what property does is this, (1)(4y)=4y
Answer by issacodegard(60)
(Show Source):
You can
put this solution on YOUR website!Hi, I'll show the steps and properties used to prove (1)(4y)=4y
1 is the multiplicative identity so 1*x=x for any x.
So, this is the only property of real numbers needed.
Question 561659: what property is (15+4) + 9 = (4+15) + 9
Answer by jim_thompson5910(21667) (Show Source):
Question 561530: I'm working on simplifying each product using FOIL. Please help me solve this equation: (x-7)(x+9)using FOIL?
Answer by rfer(10417) (Show Source):
Question 561239: Please help me factor trinomials with the form axsquared + bx +c.
An example 7xsquared +17x+6. Any help is greatly appreciated. Joey
Answer by jim_thompson5910(21667) (Show Source):
You can
put this solution on YOUR website!
Looking at the expression
, we can see that the first coefficient is
, the second coefficient is
, and the last term is
.
Now multiply the first coefficient
by the last term
to get
.
Now the question is: what two whole numbers multiply to
(the previous product)
and add to the second coefficient
?
To find these two numbers, we need to list
all of the factors of
(the previous product).
Factors of
:
1,2,3,6,7,14,21,42
-1,-2,-3,-6,-7,-14,-21,-42
Note: list the negative of each factor. This will allow us to find all possible combinations.
These factors pair up and multiply to
.
1*42 = 42
2*21 = 42
3*14 = 42
6*7 = 42
(-1)*(-42) = 42
(-2)*(-21) = 42
(-3)*(-14) = 42
(-6)*(-7) = 42
Now let's add up each pair of factors to see if one pair adds to the middle coefficient
:
| First Number | Second Number | Sum | | 1 | 42 | 1+42=43 |
| 2 | 21 | 2+21=23 |
| 3 | 14 | 3+14=17 |
| 6 | 7 | 6+7=13 |
| -1 | -42 | -1+(-42)=-43 |
| -2 | -21 | -2+(-21)=-23 |
| -3 | -14 | -3+(-14)=-17 |
| -6 | -7 | -6+(-7)=-13 |
From the table, we can see that the two numbers
and
add to
(the middle coefficient).
So the two numbers
and
both multiply to
and add to
Now replace the middle term
with
. Remember,
and
add to
. So this shows us that
.
Replace the second term
with
.
Group the terms into two pairs.
Factor out the GCF
from the first group.
Factor out
from the second group. The goal of this step is to make the terms in the second parenthesis equal to the terms in the first parenthesis.
Combine like terms. Or factor out the common term
===============================================================
Answer:
So
factors to
.
In other words,
.
Note: you can check the answer by expanding
to get
or by graphing the original expression and the answer (the two graphs should be identical).
-------------------------------------------------------------------------------------------------
If you need more help, email me at jim_thompson5910@hotmail.com
Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you
Jim
-------------------------------------------------------------------------------------------------
Question 560570: factor x^2-18x+81
Answer by jim_thompson5910(21667) (Show Source):
You can
put this solution on YOUR website!
Looking at the expression
, we can see that the first coefficient is
, the second coefficient is
, and the last term is
.
Now multiply the first coefficient
by the last term
to get
.
Now the question is: what two whole numbers multiply to
(the previous product)
and add to the second coefficient
?
To find these two numbers, we need to list
all of the factors of
(the previous product).
Factors of
:
1,3,9,27,81
-1,-3,-9,-27,-81
Note: list the negative of each factor. This will allow us to find all possible combinations.
These factors pair up and multiply to
.
1*81 = 81
3*27 = 81
9*9 = 81
(-1)*(-81) = 81
(-3)*(-27) = 81
(-9)*(-9) = 81
Now let's add up each pair of factors to see if one pair adds to the middle coefficient
:
| First Number | Second Number | Sum | | 1 | 81 | 1+81=82 |
| 3 | 27 | 3+27=30 |
| 9 | 9 | 9+9=18 |
| -1 | -81 | -1+(-81)=-82 |
| -3 | -27 | -3+(-27)=-30 |
| -9 | -9 | -9+(-9)=-18 |
From the table, we can see that the two numbers
and
add to
(the middle coefficient).
So the two numbers
and
both multiply to
and add to
Now replace the middle term
with
. Remember,
and
add to
. So this shows us that
.
Replace the second term
with
.
Group the terms into two pairs.
Factor out the GCF
from the first group.
Factor out
from the second group. The goal of this step is to make the terms in the second parenthesis equal to the terms in the first parenthesis.
Combine like terms. Or factor out the common term
Condense the terms.
===============================================================
Answer:
So
factors to
.
In other words,
.
Note: you can check the answer by expanding
to get
or by graphing the original expression and the answer (the two graphs should be identical).
-------------------------------------------------------------------------------------------------
If you need more help, email me at jim_thompson5910@hotmail.com
Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you
Jim
-------------------------------------------------------------------------------------------------
Question 558442: would x(yz) = y(xz) be associative property of multiplication?
Answer by richard1234(4789) (Show Source):
You can
put this solution on YOUR website!Yes, but you would have to assume that multiplication is commutative. x(yz) = x(zy) = (xz)y = y(xz), applying the commutative and associative properties. Note that other operations, such as division or cross-products, are not necessarily commutative or associative.
Question 558450: Is this a distributive property 4(7+1)=4*7+4*1
Answer by nerdybill(5404) 
(Show Source):
Question 558024: q.b=
complete the equation to the right of the equal sign,to illustrate the commutative pproperty of multiplication
Answer by Theo(2967) 
(Show Source):
Question 557980: Define a variable, write an equality, and solve. The sum of a number and three is less than nineteen less than the number. I did not understand this one bit, hopefully you do.
Answer by Theo(2967) (Show Source):
You can
put this solution on YOUR website!the sum of a number and three is less than nineteen less than the number.
it says define a variable, write an equality, and solve.
the statement is not an equality.
it is an inequality.
the statement, as far as i can tell states:
x + 3 < (x-19) - 19
when you simplify this equation, you get:
x + 3 < x - 38
you normally solve for x as follows:
subtract 3 from both sides of the equation to get:
x < x - 41
subtract x from both sides of the equation to get:
0 < -41
the x variable disappears.
if the remaining statement was true, then x could have been any value and the statement would be true.
since the remaining statement is false, than there is no solution to this equation.
Question 557355: I need help with this problem please (sqrtx+7)(sgrtx-7)=?
Answer by Theo(2967) (Show Source):
You can
put this solution on YOUR website!(sqrt(x) + 7) * (sqrt(x) - 7) is solved using the distributive law of algebraic operations as follows:
(sqrt(x) + 7) * (sqrt(x) - 7) is equal to:
(sqrt(x) * (sqrt(x) - 7)) + 7 * (sqrt(x) - 7) which becomes:
sqrt(x) * sqrt(x) - 7 * sqrt(x) + 7 * sqrt(x) - 49
combine like terms to get:
sqrt(x) * sqrt(x) - 49 which becomes:
(sqrt(x))^2 - 49 which becomes:
x - 49
this is because sqrt(x) * sqrt(x) is equal to (sqrt(x))^2 is equal to x.
this might be seen clearer if you use exponent arithmetic.
sqrt(x) is equal to x^(1/2)
sqrt(x) * sqrt(x) is therefore equal to:
x^(1/2) * x^(1/2)
by the laws of exponent arithmetic, this becomes:
x^((1/2) + (1/2)) which becomes x^1 which becomes x.
the whole thing might be easier to see if you allow:
y = sqrt(x).
your equation of:
(sqrt(x)+7) * (sqrt(x)-7) becomes:
(y+7)*(y-7)
you can use foil or you can use the distributive property of arithmetic (foil is just a subset of the distributive property) to get:
y^2 - 7y + 7y - 49
the -7y and the + 7y cancel out and you are left with:
y^2 - 49
since y = sqrt(x), then y^2 = x and you are left with:
x - 49.
Question 557275: -9(-v-2w-6)Use the distributive property to remove the parentheses
Answer by bluemockingjay7(41)
(Show Source):
Question 556314: Factor completely. 16x2 – 4
Answer by jim_thompson5910(21667) (Show Source):
Question 556310: 3(x-7)
Answer by jim_thompson5910(21667) (Show Source):
Question 555283: (3x-2y)^2
Answer by jim_thompson5910(21667) (Show Source):
You can
put this solution on YOUR website!
Start with the given expression.
Expand. Remember something like
.
Now let's FOIL the expression.
Remember, when you FOIL an expression, you follow this procedure:
Multiply the
First terms:
.
Multiply the
Outer terms:
.
Multiply the
Inner terms:
.
Multiply the
Last terms:
.
---------------------------------------------------
So we have the terms:
,
,
,
Now add every term listed above to make a single expression.
Now combine like terms.
So
FOILs to
.
In other words,
.
If you need more help, email me at jim_thompson5910@hotmail.com
Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you
Jim
Question 555210: 1. Use the commutative property to write an expression that is equivalent to 3 +(-5)
2. show whether -7+2 is the same as 7+(-2)
Answer by jim_thompson5910(21667) (Show Source):
You can
put this solution on YOUR website!# 1
3+(-5) = -5 + 3
-------------------------------------------------------
# 2
-7 + 2 does NOT equal 7 + (-2) since -7+2 = -5 and 7 + (-2) = 5
Question 554760: 3(x-10y) + 7(9x+2y)
Answer by jim_thompson5910(21667) (Show Source):
Question 554710: what is the answer to 2x squared equals 8
Answer by jim_thompson5910(21667) (Show Source):
Question 553994: which is an example of distibutive property ?
A. (5-2)+3=(-2+5)+3
B. 5(2-3)=5X2-5X3
Answer by Theo(2967) (Show Source):
You can
put this solution on YOUR website!distributive property is:
a(b+c) = ab + ac
that would be selection b.
5(2-3) = 5(2) - 5(3)
selection a would be an example of the commutative property i believe.
that one says that a+b = b+a which is what you see within the parentheses.
selection a says:
(5-2) + 3 = (-2+5) + 3
the position of the constants within the parentheses have been reversed which is the commutative property in action.
Question 553759: 2+5=5+2 exemplifies which property
Answer by jim_thompson5910(21667) (Show Source):
Question 553762: 2*(7*5)=(2*7)*5 exemplifies which property
Answer by jim_thompson5910(21667) (Show Source):
Question 553248: How you rewrite bthe following expression using distributive property without simplifying?????
Answer by rapaljer(4551) 
(Show Source):
Question 553078: Simplify using the commutative and associative properties: (2x + 7) + 5x
Answer by jim_thompson5910(21667) (Show Source):
You can
put this solution on YOUR website!(2x + 7) + 5x
2x + (7 + 5x) ... Associative property of addition
2x + (5x + 7) ... Commutative property of addition
(2x + 5x) + 7 ... Associative property of addition
7x + 7
So (2x + 7) + 5x simplifies to 7x + 7
Question 552204: How to factor: x^2 +6x+40?
Answer by jim_thompson5910(21667) (Show Source):
You can
put this solution on YOUR website!
Looking at the expression
, we can see that the first coefficient is
, the second coefficient is
, and the last term is
.
Now multiply the first coefficient
by the last term
to get
.
Now the question is: what two whole numbers multiply to
(the previous product)
and add to the second coefficient
?
To find these two numbers, we need to list
all of the factors of
(the previous product).
Factors of
:
1,2,4,5,8,10,20,40
-1,-2,-4,-5,-8,-10,-20,-40
Note: list the negative of each factor. This will allow us to find all possible combinations.
These factors pair up and multiply to
.
1*40 = 40
2*20 = 40
4*10 = 40
5*8 = 40
(-1)*(-40) = 40
(-2)*(-20) = 40
(-4)*(-10) = 40
(-5)*(-8) = 40
Now let's add up each pair of factors to see if one pair adds to the middle coefficient
:
| First Number | Second Number | Sum | | 1 | 40 | 1+40=41 |
| 2 | 20 | 2+20=22 |
| 4 | 10 | 4+10=14 |
| 5 | 8 | 5+8=13 |
| -1 | -40 | -1+(-40)=-41 |
| -2 | -20 | -2+(-20)=-22 |
| -4 | -10 | -4+(-10)=-14 |
| -5 | -8 | -5+(-8)=-13 |
From the table, we can see that there are no pairs of numbers which add to
. So
cannot be factored.
===============================================================
Answer:
So doesn't factor at all (over the rational numbers).
So is prime.
