Question
A state park has two pools. The olympic size pool holds 8.12 x
gallons of water and the smaller pool holds 5.27 x
gallons of water. What is the combined capacity of the pools?
Responses
A 1.339 x
gallons1.339 x 10 4 gallons
B 1.339 x
gallons1.339 x 10 6 gallons
C 13.39 x
gallons13.39 x 10 10 gallons
D 1.339 x
gallons1.339 x 10 10 gallons
E 2.85 x
gallons
gallons of water and the smaller pool holds 5.27 x
gallons of water. What is the combined capacity of the pools?
Responses
A 1.339 x
gallons1.339 x 10 4 gallons
B 1.339 x
gallons1.339 x 10 6 gallons
C 13.39 x
gallons13.39 x 10 10 gallons
D 1.339 x
gallons1.339 x 10 10 gallons
E 2.85 x
gallons
Answers
GPT-4o mini
To determine the combined capacity of the two pools, we need to add the volumes they hold. However, the values you provided for the pools seem to be missing the actual numbers; they both appear as "x" without specific values or exponents.
Usually, the capacity would be expressed in scientific notation as something like "8.12 x 10^n" for the first pool and "5.27 x 10^m" for the second pool, where n and m are integer values indicating the power of ten.
Assuming you meant to write:
- Olympic pool: \( 8.12 \times 10^4 \) gallons.
- Smaller pool: \( 5.27 \times 10^4 \) gallons.
Let's sum these two values:
1. **Aligning the powers:** Since both are in \( 10^4 \), we can add them directly:
\[
8.12 \times 10^4 + 5.27 \times 10^4 = (8.12 + 5.27) \times 10^4 = 13.39 \times 10^4 \text{ gallons}
\]
2. **Expressing in standard form:** The combined capacity can also be written as:
\[
13.39 \times 10^4 \text{ gallons} = 1.339 \times 10^5 \text{ gallons}
\]
Now let's see which of the provided options match this result. However, none of your response options include \( 1.339 \times 10^5 \) gallons.
If I made a wrong assumption or if there were specific values provided for the capacities initially (which I've missed), please provide those exact numbers, and we can reassess!
Usually, the capacity would be expressed in scientific notation as something like "8.12 x 10^n" for the first pool and "5.27 x 10^m" for the second pool, where n and m are integer values indicating the power of ten.
Assuming you meant to write:
- Olympic pool: \( 8.12 \times 10^4 \) gallons.
- Smaller pool: \( 5.27 \times 10^4 \) gallons.
Let's sum these two values:
1. **Aligning the powers:** Since both are in \( 10^4 \), we can add them directly:
\[
8.12 \times 10^4 + 5.27 \times 10^4 = (8.12 + 5.27) \times 10^4 = 13.39 \times 10^4 \text{ gallons}
\]
2. **Expressing in standard form:** The combined capacity can also be written as:
\[
13.39 \times 10^4 \text{ gallons} = 1.339 \times 10^5 \text{ gallons}
\]
Now let's see which of the provided options match this result. However, none of your response options include \( 1.339 \times 10^5 \) gallons.
If I made a wrong assumption or if there were specific values provided for the capacities initially (which I've missed), please provide those exact numbers, and we can reassess!