To determine if Melanie can reach her vegetable garden with the combined length of the hoses, we need to add the lengths of the three hoses together.
- Brown hose: 10.75 feet
- Green hose: 16.4 feet
- Black hose: 8.5 feet
Now, let's add them up:
\[ 10.75 + 16.4 + 8.5 \]
First, let's add the brown and green hoses:
\[ 10.75 + 16.4 = 27.15 \text{ feet} \]
Next, we add the black hose to that total:
\[ 27.15 + 8.5 = 35.65 \text{ feet} \]
Now that we have the total length of the hose, which is 35.65 feet, we can see if it is enough to reach the vegetable garden.
Since the vegetable garden is 33 feet away, and 35.65 feet is greater than 33 feet, Melanie will indeed be able to water her vegetables.