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vaieri [72.5K]
2 years ago
13

Keisha is designing a rectangular giraffe enclosure with a length of at most 125 m. The animal sanctuary can afford at most 300

m of fencing, and the length of the enclosure must be at least double the width. a. Write inequalities to represent each constraint where x = width and y = length. b. Graph and solve the linear system of inequalities. c What does the solution mean?
Mathematics
1 answer:
Norma-Jean [14]2 years ago
7 0

According to the calculations, the length of the enclosure is 100 meters, and the width is 50 meters.

To determine, using a linear system of inequalities, how long each side of the rectangle measures, the following calculation must be performed:

Length + width = Total fencing

  • 125 x 2 + 125 = X
  • 250 + 125 = X
  • 375 = X
  • 375 - 300 = 75
  • 75/3 = 25
  • 125 - 25 = 100
  • 100 x 2 + 100 = X
  • 200 + 100 = X
  • 300 = X
  • 200/2 = 100
  • 100/2 = 50

Therefore, the length of the enclosure is 100 meters, and the width is 50 meters.

Learn more in brainly.com/question/12595620

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Each student gets 7 balloons, 7 x 25 = 175 balloons will be used
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If each student needs 8 balloons
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200 - 194 = 6 ballons needed (Answer to part 2 of this question)

We also could have found the answer to part 2 by saying that we had 19 balloons left over when the students each were given 7 balloons
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<h3>Answer: Point E is located at (2, 3)</h3>

====================================

Explanation:

The sequence PQRST has T as the last letter.

The sequence ABCDE has E as the last letter

The two letters T and E pair up or they correspond. So T will rotate to land on point E. Or T will rotate to point E's location.

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Use the rule

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This means,

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(-3, 2) ---> (2, 3)

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