A high school is having a pancake breakfast fundraiser. They have 5 packages of pancake mix that each feed 140 people. The function N(p)=140p represents the number of people, N(P),that packages of pancake mix feed write the domain and range as compound inequalities.

They have 5 packages of pancake mix.

N(p) = 140*p

Represents the number of people that can be feed with p = # of packages of pancake mix used.

Now, the domain will be the set of the possible values of p that we can use here.

the set of possible values of p will be:

{0, 1, 2, 3, 4, 5}

We can not use more than 5 because there are only 5 packages.

But we can use actually half a package or a third, so we not should use only whole numbers in the domain, then the domain can be written as:

D = 0 ≤ p ≤ 5

Now, the range is the set of the possible values of N(p)

The minimum will be when p = 0.

N(0) = 140*0 = 0

The maximum will be when p = 5

N(5) = 140*5 = 700

Then the range can be written as:

R = 0 ≤ N ≤ 700

Here we could add another restriction, because we can only feed a whole number of people, then we also should add the restriction that N must be a whole number:

R = 0 ≤ N ≤ 700, N ∈ Z

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet