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, let's add them up:
\[ 10.75 + 19.4 + 7.5 = 37.65 \text{ feet} \]
The total length of the hose is 37.65 feet.
Now, to determine if Melanie can water her vegetables, we need to compare the length of the hose to the distance to her 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.
The farthest distance the one long hose can reach is 37.65 feet, and Melanie can water her vegetables.