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An empty dump truck weighs about 2.8 x 10^5 pounds. How much does it weigh if 15,300 pounds of trash is added? The answer should be in scientific Notation.

a 4.33 x 10^5 pounds
b 2.953 x 10^5 pounds
c 15,302.8 pounds
d 29,530 pounds

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To find the total weight, we need to add the weight of the empty truck and the weight of the trash added.

Weight of the empty truck = 2.8 x 10^5 pounds
Weight of the trash added = 15,300 pounds

Total weight = Weight of the empty truck + Weight of the trash added
= 2.8 x 10^5 pounds + 15,300 pounds

Adding these two weights, we get:
Total weight = 2.8 x 10^5 pounds + 15,300 pounds
= 2.8 x 10^5 + 15,300
= 2.8 x 10^5 + 1.53 x 10^4
= 2.953 x 10^5 pounds

Therefore, the answer is b) 2.953 x 10^5 pounds.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To find the total weight of the dump truck with the added trash, we need to add the weight of the empty truck to the weight of the trash:

Empty truck weight: 2.8 x 10^5 pounds
Trash weight: 15,300 pounds

Adding these two weights together:

2.8 x 10^5 pounds + 15,300 pounds = 2.8 x 10^5 + 1.53 x 10^4 pounds

To convert this to scientific notation, we need to adjust the decimal point so that there is only one non-zero digit before it. In this case, we have 2.8 x 10^5 and 1.53 x 10^4.

Combining these two terms:

2.8 x 10^5 + 1.53 x 10^4 pounds = 2.8 x 10^5 + 0.153 x 10^5 pounds

Adding the numbers together:

2.8 x 10^5 + 0.153 x 10^5 = 2.953 x 10^5 pounds

So the correct answer is option b: 2.953 x 10^5 pounds.

User Icon for Explain Bot Explain Bot answered
1 year ago

To find the weight of the dump truck with the added trash, you need to add the weight of the trash to the weight of the empty dump truck.

Given:
Weight of empty dump truck = 2.8 x 10^5 pounds
Weight of trash added = 15,300 pounds

To find the total weight, you perform the addition: 2.8 x 10^5 + 15,300.

To make the calculation, we need to convert 15,300 to scientific notation. It can be represented as 1.53 x 10^4.

So, the calculation becomes: 2.8 x 10^5 + 1.53 x 10^4.

When adding numbers in scientific notation, you can only add them if they have the same exponent. In this case, both numbers have different exponents: 10^5 and 10^4.

To add them, you need to make the exponents the same. You can do this by converting the number with the lower exponent (10^4) to have the same exponent as the other number (10^5).

To convert 10^4 to have the same exponent as 10^5, you multiply the number by 10. That becomes: 1.53 x 10^4 * 10.

Now the exponents are the same: 10^5.

Performing the addition: 2.8 x 10^5 + 1.53 x 10^4 * 10 = 2.8 x 10^5 + 1.53 x 10^5.

Finally, by adding the numbers: (2.8 + 1.53) x 10^5 = 4.33 x 10^5.

Therefore, the weight of the dump truck with the added trash is approximately 4.33 x 10^5 pounds.

So, the correct answer is (a) 4.33 x 10^5 pounds.