(2 points)

Melanie connected a brown garden hose, a green garden hose, and a black garden hose to make one long hose. The brown hose is 10.75 feet long, the green hose is 19.4 feet long, and the black hose is 7.5 feet long.

What is the farthest distance the one long hose can reach?

If Melanie's vegetable garden is 30 feet away from where the hose is connected to water, will Melanie be able to water her vegetables?

OPTION FOR 1: 37.65 ft, 26.65 ft, 36.84 ft, or 20.65 ft

OPTIONS FOR 2: Yes, No, or Not enough information provided

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1 answer

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:

  1. The farthest distance: 37.65 ft
  2. Will she be able to water her vegetables? Yes

So the answers are:

  1. 37.65 ft
  2. Yes