Mrs. gibbs goes to the store to buy aa and 9v batteries. she needs at least 6 aa batteries. in all, she wants to buy at least 20 batteries. the store has 12 aa batteries and 15 9v batteries in stock. the graph shows the feasible region, where x represents the number of aa batteries and y represents the number of 9v batteries. which ordered pairs meet all the constraints and make sense in the context of the situation? select each correct answer. (7, 13) (8,11) (10,16) (12,12)

Let

x------> represents the number of AA batteries

y------> represents the number of 9V batteries

we know that

The constraints are

so

--------> inequality A    

--------> inequality B

so

-----> inequality C

The solution of the system of inequalities is the shaded area in the attached figure

If a ordered pair meet all the constraints and make sense in the context of the situation, then the ordered pair is a solution of the system of inequalities

let's check each of the ordered pairs

case A) point      

Verify inequality A

--------> is true

Verify inequality B

-------> is true

Verify inequality C

------> is true

The ordered pair   meets all restrictions, therefore the ordered pair is a solution of the system of inequalities

case B) point      

Verify inequality A

--------> is true

Verify inequality B

-------> is true

Verify inequality C

------> is not true

The ordered pair     does not meet all the restrictions, therefore the ordered pair is not a solution of the system of inequalities.

case C) point      

Verify inequality A

--------> is true

Verify inequality B

-------> is not true

Verify inequality C

------> is not true

The ordered pair     does not meet all the restrictions, therefore the ordered pair is not a solution of the system of inequalities.

case D) point      

Verify inequality A

--------> is true

Verify inequality B

-------> is true

Verify inequality C

------> is true

The ordered pair    meets all restrictions, therefore the ordered pair is a solution of the system of inequalities

the answer is

she will most likely have 33  

step-by-step explanation: