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raketka [301]
2 years ago
9

A rectangular rug has side lengths of (x- 2) feet

Mathematics
1 answer:
Zolol [24]2 years ago
3 0

Hi!

Your answer is x^2+x+6

We are asked to find the floor space it covers, which we can solve for by finding the area of the rectangular rug, given its dimensions.

<u>Dimensions:</u>

(x - 2) x (x + 3)

<u>Area of a rectangle:</u>

Length x Width = Area

Plug dimensions into the formula:

(x - 2)(x +3)

Use the Distributive Property and FOIL method to solve <em>(if you are not familiar with the FOIL method, see the image attached below)</em>:

x^2+3x-2x-6

Combine like terms:

x^2+x-6

<em>Now, this isn't a numerical value, but as we do not know the value of x, this is the simplest answer we can get.</em>

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In 1988, a certain model of car cost $17000. What would be the cost of that car in 2017 dollars?
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Answer:

$66,092.50

Step-by-step explanation:

In 1988, the car cost $17,000

Annual inflation over this period was 3.54% from 1988 to 2017

After adjusted for inflation, $17,000.00 in 1978 is equal to $66,092.50 in 2017

Therefore, the cost of that car in 2017 is closest to $66,092.50

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What is 25.0996 rounded to the nearest thousandth
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Answer:

25.100

Step-by-step explanation:

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Mariko has an 80: 1 scale drawing of the floor plan of her house. On the floor plan
Ivan

Answer:

16,771.56 square feet.

Step-by-step explanation:

In order to get to the result we will need to use the scale and the numbers that are provided of the dimensions of the room.

The dimensions of the room on the floor plan are 17.8 inches by 21.2 inches. We first need to multiply these numbers with the scale:

17.8 x 80 = 1,424

21.2 x 80 = 1,696

Now that we got the real measures we need to multiply these two values in order to get to a result as in how many square inches is the room:

1,424 x 1696 = 2,425,104

Now we need to convert the square inches into square feet to get to the final result:

1 ft² = 144 in²

2,425,104 / 144 = 16,771.56

So we have a result of 16,771.56 square feet.

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