Answer:
30.8%
Step-by-step explanation:
To figure this out, set up an equation. 7.7/25 = x/100. This is because 7.7 miles out of 100 is equal to some percentage of 100. Then, solve by simplifying both sides and isolating the variable of x.
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Answer:
OPtion B
Step by step explanation:
Lets plug in a random value for x.
Lets say 5 is x
-8(-5-5)=(y+1)^2
5-5 = 0
-8(0) = 0
0 = (y+1)^2
Square root of both sides
0 = y+1
subtract one from both sides
-1 = y
that means the x is 5 and the y is -1. Option B illustrates exactly that!
Answer:
3x + 4y = 16 The rule is you can do any valid operation on both sides of an equation and it will still be equal. Subtract 4y.
3x = -4y + 16 Divide by 3.
x = -4y/3 + 16/3 Answer B.
Answer:
Step-by-step explanation:
The logistic equation is the following one:
In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.
In this problem, we have that:
Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that 
.
The number of fish tripled in the first year. This means that 
.
Using the equation for P(1), that is, P(t) when 
, we find the value of r.
Applying ln to both sides.
This means that the expression for the size of the population after t years is:
Assuming this is a system of equations, here is how to find x.
2x + 3y = 45
x + y = 10
Multiply x + y = 10 by 2 so you are able to use the elimination method.
2x + 3y = 45
2x + 2y = 20
Subtract.
y = 25
Now that we've found y, we can plug it in to find x.
x + 25 = 10
Subtract 25 from both sides.
x = -15
