He has 30 gallons left
5/8 = 50/80
80-50=30
Answer:
2 hours: 3968 <u>[I don't understand the $ sign in the answer box]</u>
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
Answer:
The total workers are<u> 2400.</u>
Step-by-step explanation:
Given:
In company 80% of the workers are women.
480 workers are men.
Now, to find the total workers in all.
<u><em>In first way:</em></u>
If women are 80%, then men would be 100-80 = 20%.
Let the total workers be 
.
According to question:
⇒
⇒
⇒
Dividing both sides by 0.20 we get:
⇒
.
Total workers = 2400.
<em><u>Now, in second way</u></em>.
Again, let the total workers be .
According to question:
⇒
<em>On solving:</em>
⇒
⇒
<em>Dividing both sides by 0.20 we get:</em>
⇒.
<em>Total workers = 2400.</em>
Therefore, the total workers are <u>2400</u>.
Answer:
<em>(14, -7)</em>
Step-by-step explanation:
