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DedPeter [7]
3 years ago
9

Marina wants to purchase a rosebush ford dollars at a garden store. She has a coupon good for

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
5 0

Answer:

Part A:  <u>0.9d - 4.5</u>

Part B:  <u>0.9d - 5</u>

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

<u></u>

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) = <u>0.9d - 4.5</u>

<u></u>

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:

<u>0.9d - 5</u>

<u></u>

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.

<u>Order that will save Marina money is "discount applied first, then coupon"</u>

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Since the focus is at (-6,-11) and the directrix is at y=9:

 

The vertex is halfway between the focus and the directrix, so the vertex is at (-6,-1).  (Draw this on graph paper if that doesn't make sense.)

 

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Given that, Joe travels 68 mi in 4 hours, the number of miles Joe will travel in 45 minutes is 12.75.

<h3>How many miles did joe travel in 45 minutes?</h3>

Given that;

  • Joe travels 68 miles in 4 hours
  • joe travel x miles in 45 minutes

First, we convert 4 hours to minutes: 4 × 60 = 240 minutes

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Joe travels 68 miles in 240 minutes

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Answer:

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