Ray wants to buy a hat that costs $10 and some shirts that cost $12 each.
the sales tax rate is 6.5%, write an expression to determine the amount
of sales tax that ray will pay on his entire purchase. expand to simplify
the expression

Expression is :

Simplified expression is :

Step-by-step explanation:

Let the number of shirts bought be 'x'.

Given:

Number of hats bought = 1

Number of shirts bought = 'x'

Cost of 1 hat = $10

Cost of 1 shirt = $12

Sales tax percent = 6.5%

Since, cost of 1 shirt is $12.

Therefore, cost of 'x' shirts is =

Now, total cost of 'x' shirts and 1 hat is the sum of both the costs. Thus,

Total cost is,

Now, sales tax applies on total cost. So, sales tax is given as:

Now, expanding the above expression to simplify further by using the distributive property of addition, we get:

Therefore, the simplified expression is: