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You and your friends have packed four suitcases for the trip. The weights of the suitcases are 24 1/2 ib, 13 3/8 ib, 31/2 ib, and 17 3/4. What is the total weight of all the luggage? (2 points)

71 1/8 ib
69 3/8 ib
85 1/8 ib
588/8 ib

After calculating the total weight, you and your friends have decided that you need to reduce the weight by 12.2 pounds (Ib.). Now, what is the total weight of the luggage? (2 points)
* 61.3 lb.
58.925 lb.
* 57.175 lb.
* 72.925 lb.

One of your suitcases has a rectangular bumper sticker that says, "California or bust!" plastered across the side. The length and width of the bumper sticker are 4.56 inches by 2.3 inches. What is the total area of the bumper sticker?
NOTE: A = 1 •w
(2 points)
O 10.488 in²
O 2.26 in²
• 20.7936 in²
O 6.86 in²

3 answers

Let's solve each part step-by-step.

Part 1: Calculating the total weight of all the luggage

  1. Convert all weights to improper fractions:

    • 24 1/2 lb = 24.5 lb = 24 + 0.5 = 24.5 lb
    • 13 3/8 lb = 13.375 lb = 13 + 0.375 = 13.375 lb
    • 3 1/2 lb = 3.5 lb = 3 + 0.5 = 3.5 lb
    • 17 3/4 lb = 17.75 lb = 17 + 0.75 = 17.75 lb

  2. Add the weights:

    • Total weight = 24.5 + 13.375 + 3.5 + 17.75

    Let's perform the addition step by step:

    • 24.5 + 13.375 = 37.875
    • 37.875 + 3.5 = 41.375
    • 41.375 + 17.75 = 59.125 lb

    Thus, the total weight in decimal is 59.125 lb.

  3. Convert to fraction:

    • 59.125 lb = 59 + 0.125 = 59 lb + 1/8 lb = 59 1/8 lb

  4. Compare with the options:

    • The closest value is 71 1/8 lb but it appears incorrect.
    • Let’s double-check:

    \[ 24 \frac{1}{2} + 13 \frac{3}{8} + 3 \frac{1}{2} + 17 \frac{3}{4} \]

    Convert everything to eighths:

    • \( 24 \frac{4}{8} \)
    • \( 13 \frac{3}{8} \)
    • \( 3 \frac{4}{8} \) (3.5 is 3 or 3.4)
    • \( 17 \frac{6}{8} \)

    Now re-add: \[ (24 + 4 + 13 + 3 + 17 + 6) \frac{8}{8} = 67 + \frac{1+3+3 + 2}{8} -> 73/8 \]

Part 2: Reducing the weight

  1. Convert 12.2 lb to fraction: \[ 12.2 = 12 + 0.2 = 12 + \frac{2}{10} = 12 + \frac{1}{5} \]

  2. Convert total weight after reduction: \[ 59.125 - 12.2 = 46.925 lb \]

    So 46.925 can be converted and checked against options.

Part 3: Calculating the bumper sticker area

The area is calculated using: \[ A = L \times W = 4.56 \times 2.3 \]

  1. Calculating: \[ 4.56 \times 2.3 = 10.488 \]

Thus, the total area of the bumper sticker is 10.488 in².

Summary of Answers:

  1. Weight of luggage: Cannot select as 59 1/8 lb and corresponding is incorrect. (Closest is 71 1/8 but incorrect)
  2. Weight after reduction: Convert format seems tricky but 46.925 lb.
  3. Area of bumper sticker: 10.488 in².
All of the answers I gave you are either correct or incorrect. Please choose the right answer

I apologize for any confusion in my previous response. Let's directly select the correct answers based on proper calculations:

Part 1: Total weight of all the luggage

  1. Weights provided:

    • 24 1/2 lb
    • 13 3/8 lb
    • 3 1/2 lb
    • 17 3/4 lb

  2. Converted to decimals for easier addition:

    • \( 24.5 + 13.375 + 3.5 + 17.75 \)

  3. Performing the addition:

    • \( 24.5 + 13.375 = 37.875 \)
    • \( 37.875 + 3.5 = 41.375 \)
    • \( 41.375 + 17.75 = 59.125 \) lb

  4. Convert back to improper fraction:

    • 59.125 lb = 59 1/8 lb.

Correct Answer for Part 1:

None of the options you provided match this calculation. The total weight is 59 1/8 lb.

Part 2: Reducing the weight

  1. Current weight: 59.125 lb
  2. Weight to reduce: 12.2 lb
    • New weight: 59.125 - 12.2 = 46.925 lb

Correct Answer for Part 2:

None of the options directly provided the answer of 46.925 lb.

Part 3: Area of the bumper sticker

  1. Calculating area:
    • \( A = 4.56 \times 2.3 = 10.488 \) in²

Correct Answer for Part 3:

  • 10.488 in²

Conclusion:

  • Total weight of the luggage: Not directly matching provided options.
  • Weight after reduction: None of the provided options match.
  • Area of the bumper sticker: 10.488 in² (which is correct).

If certain values were already checked for correctness within the previously listed options, it appears the calculations didn't match the expected list in weight calculations. Please follow any additional specific options if you'd like for confirmation!