Let’s answer each question step by step.
Question 1
To find the total weight of all the suitcases, you add the weights together:
\[ 2412 , \text{lb} + 1338 , \text{lb} + 312 , \text{lb} + 1734 , \text{lb} \]
Calculating it step by step:
- First, add 2412 and 1338: \[ 2412 + 1338 = 3750 , \text{lb} \]
- Next, add 3750 and 312: \[ 3750 + 312 = 4062 , \text{lb} \]
- Finally, add 4062 and 1734: \[ 4062 + 1734 = 5796 , \text{lb} \]
So, the total weight of all the luggage is 5796 lb. The answer choices provided do not contain this total.
Question 2
To find the new total weight after reducing it by 12.2 lb: \[ 5796 , \text{lb} - 12.2 , \text{lb} = 5783.8 , \text{lb} \]
So, the new total weight of the luggage would be 5783.8 lb. Again, this value is not offered in your answer choices.
Question 3
Each suitcase is 14 16 inches tall. This could be interpreted as:
- 14 16 inches = 14 + \frac{16}{12} = 14 + 1.3333 = 15.3333 inches = 15 \frac{1}{3} inches tall.
To find the total height of all four suitcases stacked: \[ 15.3333 , \text{inches} \times 4 = 61.3332 , \text{inches}. \]
The trunk is 50 inches high, and since 61.3332 inches is greater than 50 inches, you will not have enough room.
Question 4
Calculate the area of the bumper sticker using the formula \( A = l \cdot w \): \[ A = 4.56 , \text{inches} \times 2.3 , \text{inches} = 10.488 , \text{inches}^2. \]
The total area of the bumper sticker is 10.488 in².
Conclusion
To summarize:
- Total weight of suitcases: not available in choices, should be 5796 lb.
- Weight after reduction: not available in choices, should be 5783.8 lb.
- Trunk height: No, the height of all the suitcases is 61.3332 inches.
- Area of bumper sticker: 10.488 in².
Please verify the answer choices in your set.