To find the total length of the hose that Melanie connected, we need to add the lengths of the three hoses together:
- Brown hose: 10.75 feet
- Green hose: 19.4 feet
- Black hose: 7.5 feet
Now, we can perform the addition:
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First, add the lengths of the brown and green hoses: \[ 10.75 + 19.4 = 30.15 \text{ feet} \]
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Next, add the length of the black hose to this sum: \[ 30.15 + 7.5 = 37.65 \text{ feet} \]
Therefore, the farthest distance the one long hose can reach is 37.65 feet.