Marina wants to purchase a rosebush ford dollars at a garden store. She has a coupon good for
$5 off her purchase, and the store is having a 10% off sale.
Part A
Write two different, equivalent expressions for how much the rosebush will cost if the coupon. is
applied first and the 10% discount second.
Part B
Write an expression for how much the rosebush will cost if the 10% discount is applied first and
the coupon is applied second.
Part
Which order will save Marina more money? Explain your reasoning.

Part A:  0.9d - 4.5

Part B:  0.9d - 5

Part C:  Order that will save Marina money is "discount applied first, then coupon"

Step-by-step explanation:

Part A

The rosebush costs "d" dollars

Coupon = $5 OFF

Discount = 10%

We want to find cost of rosebush when COUPON APPLIED 1st and DISCOUNT APPLIED 2nd.

Cost = d

Coupon Applied Cost = (d - 5)

Discount Applied Cost = 10% off means 100 - 10 = 90% of the price remains, that is 90/100 = 0.9 times the price, so:

0.9(d - 5) = 0.9d - 4.5

Part B

When we apply 10% discount to the initial price of "d", we get 90% of the price remaining.

So, price would be:

Normal Price = d

Discount Price = 0.9d

Now, coupon applied of $5, we get:

0.9d - 5

Part C

We have two expressions, let the original price, d, be 100, so

Part A price would be 0.9d - 4.5 = 0.9(100) - 4.5 = 85.5

Part B price would be 0.9d - 5 = 0.9(100) - 5 = 85

So, Marina will save up money going on the 2nd option.

Order that will save Marina money is "discount applied first, then coupon"

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .