The clearance price of hat is $17.28
Step-by-step explanation:
Price paid by store = $20
Increment = 60% of price paid
Increment = 
Increment = $12
Increased price = 20+12 = $32
Sale = 10%
Discount amount = 10% of increased price
Discount amount = 
Discount amount = $3.2
Sale price = 32 - 3.2 = $28.8
Clearance sale = 40%
Discount of clearance sale = 40% of sale price
Discount = 
Discount = $11.52
Clearance price = sale price - Discount of clearance sale
Clearance price = 28.8 - 11.52 = $17.28
The clearance price of hat is $17.28
Keywords: percentage, subtraction
Learn more about subtraction at:
#LearnwithBrainly
Sum/difference:
Let

This means that

Now, assume that
is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that
was rational, which proves that the sum/difference of the two given terms was irrational
Multiplication/division:
The logic is actually the same: if we multiply the two terms we get

if again we assume x to be rational, we have

But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.
Thickest to thinnest....
0.33m , 0.3mm, 0.275mm, 0.25mm
Answer:
$96.86
Step-by-step explanation:
129.42-32.56 = 96.86
Lily still has to pay $ 96.86