Step-by-step explanation:
You have to use logarithms.
1) a = log_3 (1/27) = -log_3 (27) = -3
2) b = log_3 (9 * 3^(1/2)) = log_3 (3 ^ {5/2}) = 5/2
3) c = -log_3 (sqrt3) = -1/2
Supposing the temperature of 60 degrees increases twice, it becomes 120 degrees (100% increase) and the bottles increase twice as well to 150 bottles (100% increase).
If there are 120 bottles used, we can calculate the temperature using the above assumption when bottle usage increase to 100% which is 150 bottles.
120 bottles/ 150 bottles = 0.8 or 80%
So, if 100% increase in temperature is defines by 120 degrees, what is 80% of 120 degrees?
Then 120 degrees divided by 0.8 will result to 96 degrees (so the answer is letter D) -- the temperature when 120 bottles were used by athletes.
Answer:
- 1/3
Step-by-step explanation:
So lets start out this problem with the initial amount of money jesse has:
$36.50 x (2 (times a month)) x (3 months) = $219
Then, you take 1/4 of his money (which can be converted to the decimal 0.25) and you subtract it from $219
$219 - ($219 x 0.25)
$219 - $54.75 = $164.25
Next, you have to subtract Jesse's lunch ($14.25) from the money he has left after purchasing his tow rope and bathing suit.
$164.25 - $14.25 = $150
Jesse's wake board cost him $150.
