Problem 6.1 Which number is larger? 12x10^9 4x10^9
1 answer:
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Short Answer B
Remark
I'm going to interpret this as
![\frac{8(y + 5)}{[3*(3y + 7)]}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%28y%20%2B%205%29%7D%7B%5B3%2A%283y%20%2B%207%29%5D%7D%20)
Step One
Before removing the brackets, the easiest way to start is to substitute for y.
![\frac{8(3 + 5)}{[3*(3*3 + 7)]}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%283%20%2B%205%29%7D%7B%5B3%2A%283%2A3%20%2B%207%29%5D%7D%20)
Step Two
Combine what's inside the brackets.
![\frac{8(8)}{[3*(9 + 7)]}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%288%29%7D%7B%5B3%2A%289%20%2B%207%29%5D%7D%20)
![\frac{8(8)}{[3*(16)]}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%288%29%7D%7B%5B3%2A%2816%29%5D%7D%20)
Step 3
Do the multiplication in both brackets in the top and bottom
Step 4
Reduce by dividing both top and bottom by 16.
The answer should be 4/3
Remark
I'm going to interpret this as
Step One
Before removing the brackets, the easiest way to start is to substitute for y.
Step Two
Combine what's inside the brackets.
Step 3
Do the multiplication in both brackets in the top and bottom
Step 4
Reduce by dividing both top and bottom by 16.
The answer should be 4/3