An expression that describes the relationship between each input and output

Answer:

• (x, y) = (18 1/3, 7 1/2)
• perimeter = 192
• area = 2108

Step-by-step explanation:

a) no angles are described or shown

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b) Opposite sides are the same length, so we have ...

  3x -21 = 34

  3x = 55 . . . . . . . add 21

  x = 55/3 = 18 1/3 . . . . . divide by 3

and

  4y +32 = 62

  4y = 30 . . . . . . . . subtract 32

  y = 15/2 = 7 1/2 . . . . divide by 4

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c) The perimeter is the sum of the side lengths, so is ...

  P = 2(L+W) = 2(62 +34) = 192 . . . units

The area is the product of adjacent side lengths, so is ...

  A = LW = 62·34 = 2108 . . . square units

Answer:

• 500 - 25w ≥ 200

Explanation:

Translate every verbal statement into an algebraic statement,

1. Keith has $500 in a savings account at the beginning of the summer.

• Initial amount: 500

2.  He wants to have at least $200 in the account by the end of summer.

• Final amount ≥ 200

3. He withdraws $25 a week for his cell phone bill.

• Call w the number of weeks

• Withdrawls = 25w

4. Write an inequality that represents Keith's situation.

• Create your model: Final amount = Initial amount - withdrawals ≥ 500

• 500 - 25w ≥ 200

With that inequality you can calculate how many week will pass before his account has less than the amount he wants to have in the account by the end of summer:

• 500 - 200 ≥ 25w

• 300 ≥ 25w

• 300/25 ≥ w

• 12 ≥ w

• w ≤ 12

That represents that he can afford spending $ 25 a week during 12 weeks to have at least $ 200 in the account.