Isolate the w. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS. First, multiply 4/3 to both sides
(3/4)(4/3)(8w - 12) = 3(4/3)
8w - 12 = (12/3)
8w - 12 = 4
Isolate the w. Add 12 to both sides
8w -12 (+12) = 4 (+12)
8w = 4 + 12
8w = 16
Finally, to completely isolate the w, divide 8 from both sides
8w/8 = 16/8
w = 16/8
w = 2
2 is your answer for w
hope this helps
6!+7!+8!=(n)(6!)
calculate the individual values first:
6!=720
7!=5040
8!=40320
plug them into the equation:
720+5040+40320=n720
solve for n
5760+40320=n720
46080=n720
divide both sides by 720 to isolate n
46080/720=n720/720
64=n
Answer:
Raising something to a negative exponent is just taking the reciprocal of the amount.
Step-by-step explanation:
Let's assume that you wanted to know what 
is.
To find it, you would take the reciprocal of the x amount. So becomes 
.
This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So 
would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase to 
, you would have to multiply a with two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease to 
, you would have to divide by a 3 times.
If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times: 
means that you are dividing 1 by a 3 times.
Hope this helps.
K= -3
3y = x+6 can be rewritten as y = 1/3x + 2
a perpendicular slope is the opposite reciprocal of the original slope
so instead of 1/3 it would be -3
therefore. k must equal -3 to be perpendicular to 3y = x+6
We need to solve the speed formula for d. To do so, let's start by moving the number of the left hand side:
Square both sides to get rid of the square root:
Now plug the known value of the speed to find the distance:
So the closest answer is the last one: d=0.155km
