To find the total length of the combined hoses, we will add the lengths of the brown, green, and black garden hoses together:
- Brown hose: 10.75 feet
- Green hose: 19.4 feet
- Black hose: 7.5 feet
Calculating the total length:
\[ 10.75 + 19.4 + 7.5 = 37.65 \text{ feet} \]
Thus, the farthest distance the one long hose can reach is 37.65 feet.
Next, we need to check if this distance is sufficient to reach Melanie's vegetable garden, which is 30 feet away. Since 37.65 feet is greater than 30 feet, Melanie will indeed be able to water her vegetables.
For the options:
- The farthest distance: 37.65 ft
- Will she be able to water her vegetables? Yes
So the answers are:
- 37.65 ft
- Yes