Betty decides to support local artists by hanging their artwork in her shop. When decorating the coffee shop, Betty comes across the following formula for placing pictures on her walls: 1 third open vertical bar A-12 close vertical bar plus 2 over 3 open vertical bar |a| close vertical bar, where A equals the number of pictures that she would like to hang.

What is the value of this expression when A =9?

(1/3)|A-12| + (2/3) |A|

(1/3)|-3| + (2/3)|3|

1 + 2

(1/3)|-3| + (2/3)|9|

1 + 6

To determine the value of the expression, substitute the value of A into the formula and evaluate it.

Given: the formula is 1/3 |A-12| + 2/3 |a|

Let's substitute A = 9 into the formula:

1/3 |9 - 12| + 2/3 |9|

By simplifying the expression, we get:

1/3 |-3| + 2/3 |9|

Since the absolute value of -3 is 3 and the absolute value of 9 is 9:

1/3 * 3 + 2/3 * 9

This further simplifies to:

1 + 6

Finally, adding the two terms:

7

Therefore, when A = 9, the value of the expression is 7.