Hannah's school hosted a book donation. there are 150150 students at her school, and they donated a total of bb books! hannah donated 33 times as many as the average number of books each student donated. how many books did hannah donate? write your answer as an expression.

books.

Step-by-step explanation:  

We have been given that Hannah's school hosted a book donation.

Total number of students = 150.

Total number of books donated by all students = b.

Since we know that average is calculated by dividing the sum of the values in the set by their number.

Since we are told that Hannah donated 3 times as many as the average number of books each student donated.  So books donated by Hannah will be:

Upon simplifying we will get,

Therefore, Hannah donated books.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is