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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>

You might be interested in
Find the area and perimeter of the room.. the vertices are 10,20 -10,20 -10,-10 10,-10
Ierofanga [76]
The numbers in this problem are ordered pairs, which are points on a graph.
These are (10, 20), (-10, 20), (-10, -10), and (10, -10).
To find the area and perimeter of this shape, you must first find the distance between each point.

Distance between (10, 20) and (-10, 20):
Since the y-value remains the same here, we just have to find the difference in x-values.
This means 10 - (-10)
A negative being subtracted is the same as a positive being added.
That means 10 - (-10) is the same as 10 + 10.
10 + 10 = 20, so the distance between (10, 20) and (-10, 20) is 20 units.

Distance between (-10, 20) and (-10, -10):
The x-values are the same here so just find the difference between the y-values.
20 - (-10) = 20 + 10 = 30
The distance between the (-10, 20) and (-10, -10) is 30 units.

Distance between (-10, -10) and (10, -10):
The y-values are the same so just find the difference between the x-values.
10 - (-10) = 10 + 10 = 20
The distance between (-10, -10) and (10, -10) is 20 units.

Distance between (10, -10) and (10, 20):
The x-values are the same so find the difference between the y-values.
20 - (-10) = 20 + 10 = 30
The distance between (10, -10) and (10, 20) is 30 units.

So now we know the side lengths of the room are 20 units, 30 units, 20 units, and 30 units.

To find the perimeter, add all the side lengths together.
20 + 30 + 20 + 30 = 100
The perimeter of the room is 100 units.

To find the area, multiply the length by the width.
The length is 20 units and the width is 30 units.
20 • 30 = 600
The area of the room is 600 units.

Final answers:
Perimeter = 100
Area = 600

Hope this helps!
7 0
3 years ago
WILL MARK BRAINLIEST
Nutka1998 [239]

Answer:

a² + b² = 68

a3 + b3 = 520

Step-by-step explanation:

Given :

a + b = 10 (1)

ab = 16 (2)

A. Find a² + b²

(a + b)² = a² + 2ab + b² (3)

Substitutite the values of (1) and (2) into (3)

(10)² = a² + 2(16) + b²

100 = a² + 32 + b²

Subtract 32 from both sides

100 - 32 = a² + b²

a² + b² = 68

B. a^3 + b^3

(a + b)^3 = a^3 + b^3 + 3ab(a + b)

(10)^3 = a^3 + b^3 + 3*16(10)

1000 = a^3 + b^3 + 480

a^3 + b^3 = 1000 - 480

a3 + b3 = 520

5 0
3 years ago
In the diagram, think of each segment in the figure as part of a line.
Otrada [13]

Answer:

m and k

Step-by-step explanation:

4 0
3 years ago
6 1/4 minus 3 5/8 please answer this please
barxatty [35]
6-3=3 
2/8-5/8=3/8
you would have to change the denominator 
5 0
3 years ago
Read 2 more answers
Find the value of x:
cluponka [151]
5x - 20 = 8x - 65
-20 = 3x - 65
3x = 45
x = 15
5 0
3 years ago
Read 2 more answers
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