Answer:
a = 9
Step-by-step explanation:
So in this case you just cross multiply
8 : 12 = 6 : a
6(12) = 8(a)
72 = 8a
Divide both sides by 8
a = 9
Answer: See below; x=1/6
Step-by-step explanation:
This problem may seem intimidating, but all you need to know are your exponent rules. Let's first work inside the parenthesis. Since the bases are the same, we can directly subtract the exponents.
[common denominator]
[subtract]

Now, our new answer is
.
Unfortunately, the answer is asking for an exponent with a single base. One of the properties is when the exponents are separated by parenthesis, you multiply them together.
[cross cancel to simplify]
[multiply]

Our final answer is
.
The value is x is
since
is equal to
, we know that
.
So, for number two, you fill in the numbers that theyve given you
x. y
1. 5
2. 3
3. 2
4. 1
5. 0
then you just draw the graph and draw arrows to the integers
8/(1/6) = (8/1)/(1/6) = (8/1) * (6/1) = 48/1 = 48
Patel found the quotient incorrectly since he got 1/48.
To check the division, he needed to multiply 48 by 1/6 and get 8.
Instead, he multiplied 1/48 by 6, so the multiplication done as a check is also incorrect.
Answer: last choice