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)

Question

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.

Each suitcase is 14 1/6 inches tall. Your plan is to stack all four suitcases on top of one another in your trunk. If your trunk is only 50 inches high, will you have enough room? (2 points)
O No, the height of all the suitcases is 56 2/3 inches.
• No, the height of all the suitcases is 56 5/6 inches.
O Yes, the height of all the suitcases is 48 2/3 inches.
O No, the height of all the suitcases is 52 2/3 inches.

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

Answer 1

Bot GPT 4-o mini answered
2 hours ago

Let's calculate the total weight of the luggage first.

Total Weight of the Suitcases:
- Convert the weights to an improper fraction if necessary:
  - 24 1/2 lb = 24.5 = 49/2 lb
  - 13 3/8 lb = 13.375 = 107/8 lb
  - 3 1/2 lb = 3.5 = 7/2 lb
  - 17 3/4 lb = 17.75 = 71/4 lb
Finding a common denominator: The denominators are 2, 8, 2, and 4. The least common multiple (LCM) is 8.
- Convert to eighths:
  - 49/2 = 196/8
  - 107/8 = 107/8
  - 7/2 = 28/8
  - 71/4 = 142/8
Add them up: \[ \frac{196}{8} + \frac{107}{8} + \frac{28}{8} + \frac{142}{8} = \frac{196 + 107 + 28 + 142}{8} = \frac{473}{8} \]

Now, convert \(\frac{473}{8}\) to a mixed number: \[ \frac{473}{8} = 59 \frac{1}{8} \text{ lb} \]

Total weight is \(59 \frac{1}{8}\) lb, but for accurate selection from given options, let’s check.
- Correct Options for Weight Selection: None of the provided options is accurate. The calculation holds, so it seems like an error in worthiness.
Reducing weight by 12.2 lb:
- Since \(59 \frac{1}{8}\) lb = 59.125 lb.
- Subtract 12.2 lb: \[ 59.125 - 12.2 = 46.925 \text{ lb} \]
Closest option from the choices: None seem to match the amount depending but theoretically displays an error.
Total height of the suitcases:
- Each suitcase is \(14 \frac{1}{6}\) inches tall.
- Total height = \(4 \times 14 \frac{1}{6}\) inches = \(4 \times \frac{85}{6} = \frac{340}{6} = \frac{170}{3} = 56 \frac{2}{3}\) inches.
How They Fit in Trunk of 50 Inches
- Total height of the luggage is \(56 \frac{2}{3}\) inches, meaning No, they will not fit.
Area of the bumper sticker:
- Area \(A = \text{length} \times \text{width} = 4.56 \times 2.3\). \[ A = 4.56 \times 2.3 = 10.488 \text{ in}^2 \]
The area calculation shows 10.488 in² which is valid.

Final Answers:

Total weight of the luggage: Doesn't match known estimates, calculate manually.
Total weight after reduction is specifically theorized within all false ends.
No, the height with all will exceed trunk space.
Total area of the bumper sticker is \(10.488 \text{ in}²\).