Amelia bought a pair of pants for $25. She also bought two shirts that were originally $12 each, but were on sale for buy one and get the second for half price. She paid a 6% sales tax on the total cost of the clothes. What was the final cost of the clothes after tax?

$45.58

Step-by-step explanation:

We have been given that Amelia bought a pair of pants for $25. She also bought two shirts that were originally $12 each, but were on sale for buy one and get the second for half price.

The price of 2nd short would half o $12 that is .

The total cost of clothes before tax would be cost of pair of pants plus two shirts.  

Amelia paid a 6% sales tax on the total cost of the clothes, so total cost of clothes would be $43 plus 6% of $43.

Therefore, the final cost of clothes after tax was $45.58.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

47 - 90 = 43

43 - 180 = x

x = 137