You and your friends have packed four suitcases for the trip. The weights of the suitcases are 2412 lb, 1338 lb, 312 lb, and 1734 lb . What is the total weight of all the luggage?(2 points) Responses 6938 lb 6938 lb 7118 lb 7118 lb 5888 lb 5888 lb 8518 lb 8518 lb Question 2 After calculating the total weight, you and your friends have decided that you need to reduce the weight by 12.2 pounds (lb.). Now, what is the total weight of the luggage?(2 points) Responses 61.3 lb. 61.3 lb. 72.925 lb. 72.925 lb. 58.925 lb. 58.925 lb. 57.175 lb. 57.175 lb. Question 3 Each suitcase is 14 16 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) Responses No, the height of all the suitcases is 56 56 inches. No, the height of all the suitcases is 56 56 inches. No, the height of all the suitcases is 52 23 inches. No, the height of all the suitcases is 52 23 inches. Yes, the height of all the suitcases is 4823 inches. Yes, the height of all the suitcases is 48 and 2 thirds inches. No, the height of all the suitcases is 56 23 inches. No, the height of all the suitcases is 56 23 inches. Question 4 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=l⋅w (2 points) Responses 10.488 in2 10.488 in2 6.86 in2 6.86 in2 20.7936 in2 20.7936 in2 2.26 in2 2.26 in2 Question 5 Please attach any written work for Task 1: Luggage below. All multiple choice questions are scored as correct or incorrect. By adding your written work here, we can give you partial credit back on any questions you may have missed. Work can be handwritten on paper and uploaded as an image or typed out in the text box. If you do not attach work here, you will not receive any points back for any questions missed in this section. (1 point) 0 / 10000 Word Limit Skip to navigation

1 answer

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:

  1. Total weight of suitcases: not available in choices, should be 5796 lb.
  2. Weight after reduction: not available in choices, should be 5783.8 lb.
  3. Trunk height: No, the height of all the suitcases is 61.3332 inches.
  4. Area of bumper sticker: 10.488 in².

Please verify the answer choices in your set.