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In-s [12.5K]
3 years ago
12

By decreasing each dimension by 2 units units​, the area of a rectangle decrease from 48 square feet​ (on the​ left) to 24 squar

e feet​ (on the​ right). find the percent decrease in area.
Mathematics
1 answer:
Ket [755]3 years ago
8 0
The original area is <span>48 square feet.

The area after the decrease in the dimensions is </span><span>24 square feet​ .

24 is half of 48, so the area decreased by half, that is by 50%


Answer: </span>50%
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For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis.

According to the data of the statement we have the following points:

(x_ {1}, y_ {1}): (- 9, -9)\\(x_ {2}, y_ {2}): (- 6,0)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 9)} {- 6 - (- 9)} = \frac { 9} {- 6 + 9} = \frac {9} {3} = 3

Thus, the equation is of the form:

y = 3x + b

We substitute one of the points and find b:

0 = 3 (-6) + b\\0 = -18 + b\\b = 18

Finally, the equation is:

y = 3x + 18

Answer:

y = 3x + 18

7 0
3 years ago
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Bess [88]

Answer:

Length = 4 inches

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

If x = 2

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12 = 2(length + 2)

12 = 2length + 4

12 - 4 = 2 length

8 = 2 length

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8 0
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Answer:

<u>There can be 180 apples in that box.</u>

Step-by-step explanation:

1. Let's review the information given to answer the question correctly:

Number of apples in a box < 200

2. It is known that 2, 3, 4, 5, or 6 kids can share these apples evenly. How many apples can be in that box?

The answer is that the number of apples that can be in the box is the highest multiple of 2, 3, 4, 5, and 6 that is close to 200.

The common multiples for this set of numbers are 60, 120, 180, 240, 300 and so on with 60 as the constant.

Therefore, the highest number that is multiple for this set of numbers and at the same time lower than 200 is 180.

<u>There can be 180 apples in that box.</u>

5 0
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Step-by-step explanation:

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