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One tower holds 8.65×10^2
gallons of water. The other holds 6.23×10^2
gallons of water. What is the combined water capacity in Scientific Notation?(1 point)
Responses

11.88 x 102
11.88 x 10 squared

10.88 x 102
10.88 x 10 squared

2.42 x 102
2.42 x 102

6.23 x 103
6.23 x 10 cubed
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1 answer

To find the combined water capacity of the two towers in scientific notation, you need to add the two amounts together:

  1. Convert the scientific notation into regular numbers:

    • Tower 1: \(8.65 \times 10^2 = 865\) gallons
    • Tower 2: \(6.23 \times 10^2 = 623\) gallons

  2. Add the two amounts together: \[ 865 + 623 = 1488 \text{ gallons} \]

  3. Convert the sum back into scientific notation:

    • \(1488\) can be expressed as \(1.488 \times 10^3\)

Thus, the combined water capacity in scientific notation is: \[ 1.488 \times 10^3 \]

However, this specific result does not match any of the options provided in your question. It seems that the closest logical representation in the options would be considering the sum rounded:

If you round \(1.488\) to \(1.49\), it would still stick with \(1.49 \times 10^3\) which still isn’t directly listed in your options.

If you were specifically looking for a response from the choices provided, none of them correspond correctly. Please confirm if the format or the problem was specified differently. Otherwise, \(1.488 \times 10^3\) is indeed the scientific notation representation of the combined capacity.