An empty dump truck weighs about 2.8×105 pounds. How much does it weigh if 15,300 pounds of trash is added? The answer should be in scientific notation.(1 point)

Question

Responses

29,530 pounds
29,530 pounds

15,302.8 pounds
15,302.8 pounds

2.953×105 pounds
2.953 times 10 superscript 5 baseline pounds

4.33×105 pounds

Answer 1

To find the total weight of the dump truck after adding the trash, you can add the weight of the empty truck and the weight of the trash:

1. Weight of the empty dump truck: \(2.8 \times 10^5\) pounds (which is 280,000 pounds).
2. Weight of the trash: 15,300 pounds.

Now add them together:

\[ 280,000 \text{ pounds} + 15,300 \text{ pounds} = 295,300 \text{ pounds} \]

Next, convert 295,300 pounds into scientific notation:

\[ 295,300 = 2.953 \times 10^5 \text{ pounds} \]

So, the correct answer is:

2.953×10^5 pounds