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C=p+rp
52.99=p+.08*p
52.99=1.08*p
multiply by 100
5299=108p
5299/108=p

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x^2-x-6=0
We are looking for factors of 6 which differ by 1
One will be negative and one positive
(x-3)(x+2)=0

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There is nothing to solve since there is no equal sign.
We can simplify it or put it in terms of only positive exponents.
Negative exponents just mean the inverse or reciprocal.




Now you can simplify and cancel




I am mystified how drk changed the 4^4 to 4^2. I didn't see any cancelling available.

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BTW This was a scam that went around for many years.
1265*2.2= 2783 one kilo of tabs
2500=.75*x
x=3333.33 kilos needed
3333.33*2783= 927665739/100 = 9276657 + 39/100 number of tabs needed
Since they don't buy part of a tab they need 9276658 tabs

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If their ratio is 1:4 that means every thing on one is 4 times the size of the other
so one will have the p=2L+2W and A=L*W
the other will be p=2(4L) +2*(4W) and A=4L*4W
p=8L +8W so the ratio of perimeter will be 2:8=1:4
A=16*L*W will be 1:16 or 1:4^2

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h+d=24
50h+10d=360
h=24-d
50(24-d)+10d=360
solve for d first then for h

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e=7f
divide both sides by 7
e/7=f

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Should that second - be an = ?
If there is no equal sign there is nothing to solve.
and it is in the simplest form to nothing to reduce.
You want to factor it!!
-3/2*(x/2+3/5)

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subtract either from the other and eliminate -5x
Be careful with signs

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10/100=1/10
I would have opted for 1/10*1/10=1/100 but that is not one of the choices.

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There are many more than three ordered pairs that are solutions.
Just pick any x and calculate y
y=4x-1
y=4*0-1
y=4*1-1
y=4*2-1

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I know Ms. Botia and they will all be napping.
otherwise it would be 2/5*40=80/5 you do the rest.

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perpendicular lines have angles of 90 degrees

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(n+1)*n=42
n^2+n=42
n^2+n-42=0
we want factor of 42 wuth a difference of one
7 and 6 come to mind
1,42
2,21
3,14
(n-6)(n+7)=0
The problem doesn't say positive integers so we have two answers
n=6 and n=-7
6 and 7
and
-7 and -6

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subtract the second from the first and you eliminate x
be careful with the signs minus minus a plus makes a total of minus
it is like adding two minuses-10y-14y=-24y

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order of operations
PEMDAS
parentheses
exponents
multiplication
division
addition
subtraction
Simplify and combine what is inside each set of the parentheses first
then everything else will look simple.
so start with the first set of parentheses
(3/4-2/3)+(1/2+1/3)
1/2+(2/3 div by 3/4)-(4/5*5/6)
you have to subtract fractions that don't have the same denominator.
(3/4-2/3)
for the first two you have denominators of 3 and 4 so you need 12ths
(1/2+1/3) here you have denominators of 2 and 3 so need 6 but you will be adding to 12th's so it might be better to use 12th's here too
second problem
1/2+(2/3 div by 3/4)-(4/5*5/6)
First thing is divide one fraction by another.
Do you remember the trick for that?
take the second fraction and invert it (turn it upside down ) so now you have 3/4 turned over to 4/3
so now you multiply 2/3*4/3 which is the same as 2/3/3/4 and easier to deal with
next you have to multiply 4/5*5/6 that is simple enough you get to cancel out a couple numbers here and reduce it
now rewrite the fractions with the new results and see what you have.
It should all look easy now.
Let me know how you do

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A=s^2
50=s^2
let c=diagonal a and b the sides
a=s
b=s
a^2+b^2+c^2 where c=the diagonal and both a^2 and b^2 =s^2
The diagonal will be 2s^2=c^2
2*50=c^2
100=c^2
c=10 the diagonal equals 10

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If the problem is
15/10=5/h
then you get
15h=50
h=50/15
h=10/3=3 1/3

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m=money
t=tons
m=15t+150

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60-35=25
25:60

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(x+3) (x^2+25) = f(x)

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given 84 has factors :2*2*3*7
gcf 42 has factors :2,3,7
lcm 252 has factors 2*2*3*3*7
given has only one 3 but lcm has 3*3
gcf says that 2 and 7 are in both
y=3*3*2*7
y=126

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c+m=29
4c+2m=96
c=19
m=10

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Never heard of fractional exop onents!
Have you?
You might get a better response if you check your spelling.
It is just laziness, arrogance and disrespect since all computers have spell checking.
You need to learn. We are teachers here. Ask the question properly.
Not only did you misspell the last word but you used is with a plural noun.
I give you 5 points for a question mark but take it away for the small letter starting the sentence.
If you want us to take you seriously you should take us seriously.

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You didn't say what you want to with this mess.
Is there an equal sign somewhere?
Is it
(9x^2)/(144 - 4/25) yields (225 x^2)/3596
or
(9x^2/144)-(4/25) yields x^2/16-4/25 or 1/400(5x-8)(5x+8)

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n=3ab
the first thing to do is multiply out the (a+b)(a+2b)
a^2+ab+2ab+2b^2
consolidate
a^2+3ab+2b^2
compare that to the left
and we see that n=3ab
you can subtract the like items which will leave n=3ab

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n+n+1+n+2
n+1+n+2-n=20
n+3=20
n=17
18+19-17=20
37-17=20
17, 18,19

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4*4*4=64
If top layer and bottom layer were all black we would maximize black surface
16 black on top and 16 on bottom=32 cubes
now how many surfaces squares are black
32
plus 8 on each of 4 sides times 4=32 more
64 are black
White are 32 =8 on each of 4 sides but not top and bottom

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Can't solve by referring to the figure since you didn't supply a figure. And it doesn't want a solution by math.

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If the profit were so low no one would farm!