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xeze [42]
3 years ago
10

The perimeter of a rectangle is 24 inches and its length is 3 times its width. What are the length and the width of the rectangl

e? What the legnth and width
Mathematics
1 answer:
kodGreya [7K]3 years ago
3 0
If you take the perimeter, 24, and cut it in half, you are left with the sum of two sides of the rectangle.  This is easier to manage. Now, make a list of numbers whose sum is 12.  I got 1+11, 2+10, 3+9, 4+8, 5+7, 6+6
The other part of the problem said that the length is 3 times its width.  look at the pairs of numbers, and is there a set the has one number that is three times larger than the other number in that same set?  Yes, 3 and 9. (9 is three times larger than 3)
So, the length of the rectangle is 9 inches and the width is 3 inches.
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What is the value of n in the equation (1)/(2)(n-4)-3=3-(2n+3)
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5 0
3 years ago
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labwork [276]

Answer:

  (x, y) = (0, -2248)

Step-by-step explanation:

<u>Substitution</u>

Substitute for y:

  300x -2248 = 350x -2248

  0 = 50x . . . . . . . . add 2248-300x to both sides

  x = 0

  y = 300·0 -2248

The solution is (x, y) = (0, -2248).

__

<u>Elimination</u>

Subtract the first equation from the second.

  (y) -(y) = (350x -2248) -(300x -2248)

  0 = 50x

  x = 0

  y = 300·0 -2248

The solution is (x, y) = (0, -2248).

__

<em>Additional comment</em>

If you think for a bit about what the graph looks like, you realize both lines cross at their y-intercept, (0, -2248). That point of intersection is the solution to the system of equations.

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