Marcus is working at a local pizzeria where he makes $12.50 per hour and is also working at the university bookstore where he makes $9.50 per hour. He must make at least $300 per week to cover his expenses but cannot work more than 30 hours per week in order to attend classes. Write a system of inequalities that models this situation where p represents the hours he works at the pizzeria and b represents the hours he works at the bookstore.

p+b30 .......(i)

12.50p+9.50b300 .......(ii)

Step-by-step explanation:

Marcus Hourly Rate at the local pizzeria = $12.50 per hour

Marcus Hourly Rate at the university bookstore = $9.50 per hour

Let the number of hours worked at the local pizzeria=p

Let the number of hours worked at the university bookstore=b

Since he cannot work more than 30 hours per week in order to attend classes, the total of the hours:

p+b30 .......(i)

If he earns $12.50 for p hours at the local pizzeria,

Income from local pizzeria=12.50p

If he earns $9.50 for b hours at the university bookstore,

Income from university bookstore=9.50b

He must make at least $300 per week, therefore his total income must not be less than $300

Total Income=Income from Pizzeria + Income from University bookstore

12.50p+9.50b300 .......(ii)

Therefore the system of inequalities that models this situation is given as:

p+b30 .......(i)

12.50p+9.50b300 .......(ii)

step-by-step explanation:

if x = 2 you have to find x to finish the problem

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.