Isaac makes china mugs with names painted on them. He charges a fixed fee for the mug, together with a fixed charge for each letter in the name. Penelope buys a mug for each of her children, Alexander and Lucia. She pays $12.60 for Alexander’s mug and $9.40 for Lucia’s mug. How much would Penelope have to pay for a mug with her own name on it?

Not completely sure, and I know its late but for the other people that look at this, 11.80$

Step-by-step explanation:

I found how many more letters Alexander had over Lucia, then when I got 4 divided it in-between 12.60 - 9.40 (3.20)  I got 0.8. knowing the letter cost i got the initial fee for the mug (5.40) and added 8x0.8 to it, resulting in my answer 11.80$

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0