Given
Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.
The sandwich cost $7.75 and sales tax was $0.47.
Find out the cost of her drink
To proof
Let the cost of her drink be x.
As given in the question
Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.
Elysse paid for her sandwich and drink = 10 - 0.63
= $ 9.37
sandwich cost $7.75 and sales tax was $0.47
Than the equation becomes
x = 9.37 - (7.75 + 0.47)
x = 9.37 - 8.22
x = $ 1.15
The cost of the drink is $ 1.15.
Hence proved
It's the sum of a geometric sequence.
Let's rewrite it a bit:

And now let's calculate this sum
:

Now let's calculate the initial sum:

Answer:
y = 
Step-by-step explanation:
Given
2x + 5y = 12
Isolate the term in y by subtracting 2x from both sides
5y = 12 - 2x ( divide both sides by 5 )
y = 
10.5
Two ways. Mathematically you can do 3x2 for the square portion of it and then 3x1.5 for the triangle
Or you can just count the full squares then the half’s