Answer:
p=7, p=10, p=11 and p=15
Step-by-step explanation:
The given expression is
\(\frac{36}{p}\)
This expression represents the number of cookies that each person, p, can have if the cookies are divided equally.
If p=5, then
\(\frac{36}{5}=7+\frac{1}{5}\)
It means each person would get 7 cookies, with 1 cookies left over.
If p=7, then
\(\frac{36}{7}=5+\frac{1}{5}\)
It means each person would get 5 cookies, with 1 cookies left over.
If p=8, then
\(\frac{36}{8}=4+\frac{4}{5}\)
It means each person would get 4 cookies, with 4 cookies left over.
If p=7, then
\(\frac{36}{7}=5+\frac{1}{5}\)
It means each person would get 5 cookies, with 1 cookies left over.
If p=10, then
\(\frac{36}{10}=3+\frac{6}{5}\)
It means each person would get 3 cookies, with 6 cookies left over.
If p=11, then
\(\frac{36}{11}=3+\frac{3}{5}\)
It means each person would get 3 cookies, with 3 cookies left over.
If p=12, then
\(\frac{36}{12}=3\)
It means each person would get 3 cookies, with 0 cookies left over.
If p=15, then
\(\frac{36}{15}=2+\frac{6}{5}\)
It means each person would get 2 cookies, with 6 cookies left over.
Therefore, the correct evaluations of the expression are p=7, p=10, p=11 and p=15.
