Answer:
12 hours
Step-by-step explanation:
since she is working at a constant rate of 4 hours for every 3 minutes and video is 9 minutes 9/3 is 3 and 4x3=12
325*89.1
Let's decompose this into:
325 = 300 + 25
89.1 = 80 + 9 + 0.1
Then we have the multiplication:
(300 + 25)*(80 + 9 + 0.1)
Let's distribute the multiplication:
300*80 + 300*9 + 300*0.1 + 25*80 + 25*9 + 25*0.1
So now we have 6 multiplications that are a lot easier to solve than the initial one that we had.
Then the list of six multiplications involved in solving this problem are:
300*80 = 24,400
300*9 = 2,700
300*0.1 = 30
25*80 = 2,000
25*9 = 225
25*0.1 = 2.5
Now we add all of those and get:
325*89.1 = 24,400 + 2,700 + 30 + 2,000 + 225 + 2.5 = 28,957.5
<em>Answer:</em>
<em>There would be 173,535 lionfish after 6 years.</em>
<em>Step-by-step explanation:</em>
<em>Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:</em>
<em></em>
<em>A)</em>
<em>8000 x 1.67 ^ n = f </em>
<em>B)</em>
<em>8000 x 1.67 ^ 6 = X</em>
<em>8000 x 21.691961596369 = X</em>
<em>173,535.692770952 = X </em>
<em>C)</em>
<em>(8000 - 1200 x 1 ^ n) x 1.67 ^ n = f</em>
<em>Therefore, there would be 173,535 lionfish after 6 years.</em>
Answer:
x=-25
Step-by-step explanation:
35=-2x-15
add 15 to both sides, cancels the 15 from the right
50=-2x
divide both sides by -2, isolates the x
-25=x
