To find the total length of the combined hoses, we can add the lengths of the brown, green, and black hoses:
- Brown hose: 10.75 feet
- Green hose: 19.4 feet
- Black hose: 7.5 feet
Now, let's add these lengths together:
\[ 10.75 + 19.4 + 7.5 = 37.65 \text{ feet} \]
The total length of the long hose is 37.65 feet.
Next, we check if this length is sufficient to reach the vegetable garden, which is 30 feet away:
Since 37.65 feet (total length of the hose) is greater than 30 feet (distance to the garden), Melanie will be able to water her vegetables.
Answer: Yes