An item is regularly priced at $77. It is now priced at a discount of 30% off the regular price.

$53.90

Step-by-step explanation:

30% of $77 = $77 * 30/100 = $77 * 0.3 = $23.10 (discount)

Regular price is $77, discount is $23.10, so the item is now

$77 - $23.10 = $53.90

Shorter way of solving this could be as follows:

The regular price is 100% of the price. If the item is on 30% discount, so it means now it worths 70% (which is 100% -  30%) of the regular price:

$77 * 70/100 = $77 * 0.7 = $53.90

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.