You can put this solution on YOUR website!
3 ( log 5 - log 3 ) - ( log 5 - 2 log 6 ) = 2 - log n , find n.
.
3 ( log 5 - log 3 ) - ( log 5 - 2 log 6 ) = 2 - log n
3log 5 - 3log 3 - ( log 5 - 2 log 6 ) = 2 - log n
log 5^3 - log 3^3 - ( log 5 - 2 log 6 ) = 2 - log n
log 125 - log 27 - ( log 5 - 2 log 6 ) = 2 - log n
log 125 - log 27 - ( log 5 - log 6^2 ) = 2 - log n
log 125 - log 27 - ( log 5 - log 36 ) = 2 - log n
log 125 - log 27 - log 5 + log 36 = 2 - log n
log 125/27 - log 5 + log 36 = 2 - log n
log 125/(27*5) + log 36 = 2 - log n
log (125*36)/(27*5) = 2 - log n
log (125*36)/(27*5) = 2 - log n
log (125*36)/(27*5) - 2 = -log n
-[log (125*36)/(27*5) - 2] = log n
10^(-[log (125*36)/(27*5) - 2]) = n
10^(-[log (4500)/(27*5) - 2]) = n
10^(-[log 900/27 - 2]) = n
10^(-[log 100/3 - 2]) = n
10^(-[1.52287874528 - 2]) = n
10^(0.4771212547196624372950) = n
3 = n

You can put this solution on YOUR website!
80km

You can put this solution on YOUR website!
The odds are therefore halved to in ( in ).
I buy one ticket at first - a chance. is %.
I then buy tickets to increase my chances - a chance is %.

You can put this solution on YOUR website!
2x + 8y = 6
-5x + -20y = -15
Let's multiply the first equation (both sides) by 5 and the second by 2:
10x+40y=30
-10x-40y=-30
These are the same line, the 'solution' is the line itself, all points. Simplify to x+4y=3 if you'd like.

You can put this solution on YOUR website!
First, factor out an X


The solution to the quadratic is real, but not integers. This is the simplest factorization.

You can put this solution on YOUR website!
24
As the angle between the two side you offered approaches 180º the length of that third side reaches a maximum of 'under' 7.4+17.3= 24.7 so 24 is the higher integer.

You can put this solution on YOUR website!
A literal answer is somewhat obvious to some people, as egg-laying species pre-date the existence of chickens. To others, the chicken came first, seeing as chickens are merely domesticated Red Junglefowls. However, the metaphorical view sets a metaphysical ground to the dilemma. To better understand its metaphorical meaning, the question could be reformulated as:
"Which came first, X that can't come without Y, or Y that can't come without X?"
An equivalent situation arises in engineering and science known as circular reference, in which a parameter is required to calculate that parameter itself. The term "chicken-and-egg problem" is further commonly used to describe a situation that is not a philosophical dilemma, but one in which it is impossible to reach a certain desired outcome because a necessary precondition is not satisfied, while to meet that precondition in turn requires that the desired outcome has already been realized. For example, it has been argued that the transformation to alternative fuels for vehicles faces a chicken-and-egg problem: "it is not economical for individuals to purchase alternative fuels absent sufficient refueling stations, and it is not economical for fuel dealers to open stations absent sufficient alternative fuel vehicles".[23] This is closely related to the economic concept of vicious circle, but in this kind of situation one that becomes a virtuous circle upon reaching a tipping point.
A virtuous circle and a vicious circle (also referred to as virtuous cycle and vicious cycle) are economic terms. They refer to a complex chain of events that reinforces itself through a feedback loop.[1] A virtuous circle has favorable results, while a vicious circle has detrimental results.
Both circles are complexes of events with no tendency towards equilibrium (at least in the short run). Both systems of events have feedback loops in which each iteration of the cycle reinforces the previous one (positive feedback). These cycles will continue in the direction of their momentum until an external factor intervenes and breaks the cycle. The prefix "hyper-" is sometimes used to describe these cycles if they are extreme. The best-known example of a vicious circle is hyperinflation.
source:Wikipedia

You can put this solution on YOUR website!
reaarange the sums
5x -7y =11
3x - 2y = 0
multiply the first by 3 and the secone by 5
15x - 21y = 33
15x -10y = 0
minus the second equation from the first
-11y = 33
y=-3
sunsitute this in any of the equations to get x
x=-2

You can put this solution on YOUR website!
let the numbers be
x x+1 x+2 and x+3 as they are consecutive
using algebra we can wrote what we know as
2(x + (x+2)) = 3(x+3) -20
so
4x +4 = 3x -11
x= -15
so the numbers are
-15
-14
-13
-12

You can put this solution on YOUR website!
what we know is that
115% of x (the principle invested) is 2070
115/100 * x = 2070
this becomes x=207000/115
which is 1800
so the principle invested is 1800 and the interest earned is 270

You can put this solution on YOUR website!
probability = =

You can put this solution on YOUR website!
probability = =

You can put this solution on YOUR website!
i think this is what you mean
2 * (x+6) all divided by minus 7 = 6
multuply both sides by minus 7
2(x+6) = -42
2x +12 =-42
2x = -54
divide by 2
x=-27

You can put this solution on YOUR website!
there are 50 coins altogether
let n = the amount of 5c pieces and d the 10c pieces
so n+d =50
rearranging
d=50-n
now the value of n = 5 (cents), and d =10 (cents)
so 5n +10d = 420 (cents)
substituting d=50-n instead of d in the equation
5n + 10 (50-n) = 420
multiplying out and rearranging you get
80/5 =n
so n = 16
therefore d = 34

You can put this solution on YOUR website!
x = 5c: y = 10c
x + y = 50.......1
5x + 10y = 420......2
Multiply (1) by 10
10x + 10y = 500.....3
5x + 10y = 420.....2
Subtract 2 from 3
5x = 80
x = 16
Substitute x = 16 into Eqn (1)
16 + y = 50
y = 50 - 16
y = 34
Therefore there are 16 x 5c and 34 x 10c
Hope this helps.
:-)

You can put this solution on YOUR website!
5n - 6 = 8n + 6
Collect like terms
5n - 8n = 6 + 6
-3n = 12
n = -4
Hope this helps
:-)

You can put this solution on YOUR website!
Convert wall dimensions to centimeters.
800 x 500 x 200
Multiply together
= 80,000,000 cm^3
Multiply brick dimensions
50 x 30 x 20
= 30,000
Divide 80,000,000/30,000
= 266.6 bricks
Hope this helps
:-)

You can put this solution on YOUR website!
write 3 (x+5) is less then or equal to 98
so
3x +15 is less then o equl to 98
-15
3x is less then or equal to 83
divide by 3
x is less then or equal to 83/3

You can put this solution on YOUR website!
5 x 5 = 25

You can put this solution on YOUR website!
b cube root 24a^5b + 3a cube root 81a^2b^4
24 = 8 *3
8 = 2^3
a^5 = a^3 *a^2
81 = 27*3
27 = 3^3
b^4 = b^3 * b
using that info rewrite the expression
b cube root (2^3 *3 *a^3 * a^2 *b) + 3 cube root (3^3 *3 *a^2 * b^3 *b)

b * 2 *a cube root (3ba^2) + 3 * 3 *b cube root (3ba^2)
the expression now becomes
2ba cube root (3ba^2) + 9b cube root (3ba^2)
which can be simplified into
(2ba + 9b)cube root (3ba^2)

You can put this solution on YOUR website!
never leave a radical as a denominator.
multiply the fraction by sqrt (6)/sqrt (6) which is of course = to 1
5 * sqrt 6/sqrt 6 * sqrt 6
this then becomes
5 sqrt (6) / 6

You can put this solution on YOUR website!
square bothe sides
w^2 = 7w
rearrange
w^2-7w=0
thus
w(w-7)=0
w=0 or 7

You can put this solution on YOUR website!
not sure if you meant this
sqrt (5x) - x =0
if so, then
sqrt (5x) = x
sqaure bothe sides
5x = x^2
rearrange
x^2 -5x =0
so
x(x-5)=0
x = 0, or 5

You can put this solution on YOUR website!
Simplify the following:
3(the square root of 75)
I have gotten two answers and I have no clue which one is right.
1.
2. or
3 sqrt (75) = 3 sqrt (25) sqrt (3)
sqrt (25) = 5
so take the root out and multiply by the 3
so
3*5 sqrt (3)
15 sqrt (3)
is the answer

You can put this solution on YOUR website!
Please help with simplifying and adding radical expressions: 2xsqrt7 + 3xsqrt7
thank you!
these can simply be added to make 5x sqrt (7). the components in the above expression are like terms and therefore they can be added

You can put this solution on YOUR website!
Please help me simplify: sqrt(-4).
i am not grasping the "negatives" yet. thank you.
sqrt(-4) = sqrt (-1) * sqrt (4). the sqrt of 4 is 2, so the expression becomes
2 sqrt (-1). now sqrt (-1) is 'i' an imaginary number. hence the answer is 2i

You can put this solution on YOUR website!
3 ( log 5 - log 3 ) - ( log 5 - 2 log 6 ) = 2 - log n , find n.
3log 5/3 -lg5/36 + log n =2
log 125/27 -log 5/36 +log n =log100
log 125x36/5x27 +log n =log100
log 100/3 +log n =log100
log100n/3=log100
100n/3=100
n=100x3/100 =3
ANSWER N = 3

You can put this solution on YOUR website!
score out of 100 means
percentage =50/75 of 100
2x100/3=66.66
answer 66.66 percentage

You can put this solution on YOUR website!
average 79 point for 6 test
total point in 6n test will be 79x6=474
to be made average of 80 in next match
total match will be 7 including new
total score will be 80x7 =560
difference between two will be score for seventh match= 560-474=86
answer 86 points

You can put this solution on YOUR website!
The side of the square = 84/4 = 21cm
The perimeter of the rectangle = 84/3 = 28cm
Perimeter = 2 lengths + 2 breadths
2 lengths + 2 breadths = 28 cm
2 x 8 cm + 2 breadths = 28 cm
2 breadths = 28 cm - 16
breadth = 6 cm
Therefore difference between the breadth of the
rectangle and the side of the square is:
21cms - 6cms = 15 cms

You can put this solution on YOUR website!
If hiring a taxi costs Rs. 7/km and
the total cost is Rs 595 then the
number of kms.travelled will be:
595/7 = 85 kms

You can put this solution on YOUR website!
We are essentially converting the inequality



into an absolute value inequality

The middle of the interval is



The halfway distance on the interval is




therefore our interval is




:)