<span>The charity needs at least 1001 entries to raise more than $25000.
Let n be the number of race entries, i be the income of the race, and c the cost of the race.
The money that the 5K brings in is given by
i = 25 * n + 5000
The cost is given by
c = n * 5
Now if the charity needs to raise more than 25000 then the income minus the cost must be greater than 25000.
25000 < i - c
subsituting for i and c
25000 < i - c = (25 * n + 5000 ) - (5 * n)
simplifying results in
25000 < 25*n - 5*n + 5000
25000 < 20*n + 5000
20000 < 20*n
1000 < n
The number of entries must be greater than 1000. Since entries must be an integer the charity needs at least 1001 entries.</span>
<span>4p−8
</span>=<span>4(p-2)
answer is D </span><span>4(p−2) (last choice)</span><span>
</span>
The first on if you can roll your pencil over the line or dots and it only touches the pencil in one place instead of two places it is a function
For this case we have that the inverse variation is defined as:
Where:
k: It is the constant of proportionality
According to the statement we have:
We find the constant of proportionality:
Then we find the value of x when 
:
Answer:
Answer:
p > 5 and p <-8
Step-by-step explanation:
To solve this, you first need to isolate p.
First add 6 on both sides of the equation:
Then subtract 3 from both sides of the equation.
The divide both sides by 2.
Another solution is possible because of the absolute value.
If 
Then 
<em>Thus we can solve the second solution:</em>
Isolate P again by subtracting both sides by 3
Then divide both sides by 2:
