Question

today, isaac needs to walk his dog, water the garden, and feed his fish. d is the number of minutes it takes to walk his dog, g is the number of minutes it takes to water the garden, and f is the number of minutes it takes to feed his fish. the expression g + (d + f) describes the total number of minutes it takes isaac to do all three tasks. we can also use the expression (g + d) + f to represent the same quantity. match each amount in the situation with the expression that represents it. for reference: the dog is an animal, and he needs to go outside to walk. the garden is a bunch of plants (not an animal), and it is outside. the fish is an animal, and she lives in a water tank inside. situation expression the total minutes of the inside tasks d + f the total minutes of the outside tasks f the total minutes of the tasks involving animals g the total minutes of the tasks not involving animals g + d

Explanation:

Step1: Analyze inside tasks

Inside tasks: feeding fish (F, since fish is inside). Wait, no: wait, walk dog (D, outside), water garden (G, outside), feed fish (F, inside). Wait, the problem says "the total minutes of the inside tasks" – only feeding fish? No, wait the expressions: D is walk dog (outside, animal), G is water garden (outside, not animal), F is feed fish (inside, animal). So inside tasks: only F? Wait no, the expression for inside tasks: the problem's first situation: "The total minutes of the inside tasks" – which task is inside? Feed fish (F). Wait but the expression given is D + F? Wait no, let's re-express:

Wait, let's list each task:

- Walk dog (D): outside, animal
- Water garden (G): outside, not animal
- Feed fish (F): inside, animal

Now:

1. Inside tasks: only feed fish (F)? No, wait the expression for inside tasks is D + F? Wait no, the problem's first situation: "The total minutes of the inside tasks" – but D is outside. Wait, maybe I misread. Wait the problem says: "the total minutes of the inside tasks" – which tasks are inside? Feed fish (F) is inside. But the expression is D + F? Wait no, maybe the problem's reference: "The dog is an animal, and he needs to go outside to walk. The garden is a bunch of plants (not an animal), and it is outside. The fish is an animal, and she lives in a water tank inside." So:

- Inside tasks: feed fish (F) – but the expression is D + F? No, that can't be. Wait maybe the problem's expressions are:

Wait the expressions to match are: D + F, F, G, G + D.

Let's analyze each situation:

1. The total minutes of the inside tasks: which tasks are inside? Feed fish (F) is inside. But wait, maybe I made a mistake. Wait, walk dog (D) is outside, water garden (G) is outside, feed fish (F) is inside. So inside tasks: only F? But the expression given is D + F? No, wait the problem's expressions: D + F, F, G, G + D.

Wait let's re-express each situation:

- Inside tasks: feed fish (F) – so expression F? No, wait the first situation is "The total minutes of the inside tasks" – but the expression is D + F? Wait no, maybe the problem's description is different. Wait, maybe "inside tasks" are feed fish (F) and walk dog? No, walk dog is outside. Wait, maybe the problem has a typo, but let's go by the given expressions.

Wait let's do each one:

1. The total minutes of the inside tasks: which task is inside? Feed fish (F). But the expression is D + F? No, that's walk dog and feed fish. Wait, maybe the problem considers walk dog as inside? No, the reference says dog needs to go outside. So maybe the problem's "inside tasks" are feed fish (F), but the expression is D + F? No, that doesn't make sense. Wait, maybe I misread the tasks. Wait, the three tasks: walk dog (D), water garden (G), feed fish (F).

Now:

- Inside tasks: feed fish (F) – so expression F? But the first situation is "The total minutes of the inside tasks" – the expression given is D + F? No, the expressions to match are D + F, F, G, G + D.

Wait let's check each situation:

1. The total minutes of the inside tasks: tasks done inside. Feed fish (F) is inside. So expression F? No, the first expression is D + F. Wait, maybe the problem's "inside tasks" are feed fish (F) and walk dog? No, walk dog is outside. Wait, maybe the problem's reference is wrong, but let's proceed with the given info.

Wait, let's list each situation and possible expressions:

- Situation 1: The total minutes of the inside tasks. Which tasks are inside? Feed fish (F). So expression F? But the first expression is D + F. Wait, no, maybe "inside tasks" are feed fish (F) and walk dog? No, walk dog is outside. Wait, maybe the problem's "inside tasks" is a mistake, but let's check the other situations.

- Situation 2: The total minutes of the outside tasks. Outside tasks: walk dog (D) and water garden (G). So total minutes: D + G, which is G + D (commutative property). So expression G + D.

- Situation 3: The total minutes of the tasks involving animals. Tasks with animals: walk dog (D) and feed fish (F). So total minutes: D + F.

- Situation 4: The total minutes of the tasks not involving animals. Tasks without animals: water garden (G). So expression G.

Now let's match:

1. The total minutes of the inside tasks: feed fish (F) is inside, so expression F? Wait no, the first situation's expression is D + F? No, wait the first situation's expression is D + F? Wait, maybe the problem's "inside tasks" is feed fish (F), but the expression is F. Wait, no, let's re-express:

Wait, let's do each:

1. The total minutes of the inside tasks: task is feed fish (F), so expression F? No, the first expression is D + F. Wait, maybe I'm wrong. Let's check the given expressions:

Expressions: D + F, F, G, G + D.

Situations:

1. Inside tasks: feed fish (F) – so expression F?

2. Outside tasks: walk dog (D) and water garden (G) – total D + G = G + D – so expression G + D.

3. Tasks involving animals: walk dog (D) and feed fish (F) – total D + F – so expression D + F.

4. Tasks not involving animals: water garden (G) – total G – so expression G.

Now let's match:

- The total minutes of the inside tasks: F (since only feed fish is inside)

- The total minutes of the outside tasks: G + D (walk dog and water garden, both outside)

- The total minutes of the tasks involving animals: D + F (walk dog and feed fish, both animals)

- The total minutes of the tasks not involving animals: G (water garden, not an animal)

Now let's check the problem's table:

Situation | Expression
--- | ---
The total minutes of the inside tasks | D + F, F, G, G + D (need to match)
The total minutes of the outside tasks |
The total minutes of the tasks involving animals |
The total minutes of the tasks not involving animals |

So:

1. Inside tasks: F (feed fish is inside)
2. Outside tasks: G + D (walk dog (D) and water garden (G) are outside)
3. Tasks involving animals: D + F (walk dog (D) and feed fish (F) are animals)
4. Tasks not involving animals: G (water garden (G) is not an animal)

Now let's match each:

- The total minutes of the inside tasks: F

- The total minutes of the outside tasks: G + D

- The total minutes of the tasks involving animals: D + F

- The total minutes of the tasks not involving animals: G

Wait, but the problem's first situation is "The total minutes of the inside tasks" and the expression is D + F? No, maybe I made a mistake. Wait, maybe "inside tasks" are feed fish (F) and walk dog? No, walk dog is outside. Wait, maybe the problem's reference is wrong, but according to the given expressions and tasks:

Let's re-express:

- Inside tasks: feed fish (F) → expression F

- Outside tasks: walk dog (D) + water garden (G) → expression G + D

- Tasks with animals: walk dog (D) + feed fish (F) → expression D + F

- Tasks without animals: water garden (G) → expression G

Yes, that makes sense. So the matches are:

1. The total minutes of the inside tasks: F

2. The total minutes of the outside tasks: G + D

3. The total minutes of the tasks involving animals: D + F

4. The total minutes of the tasks not involving animals: G

Now let's check the problem's table:

Situation | Expression
--- | ---
The total minutes of the inside tasks | F
The total minutes of the outside tasks | G + D
The total minutes of the tasks involving animals | D + F
The total minutes of the tasks not involving animals | G

Yes, that's the correct matching.

Answer:

• The total minutes of the inside tasks: \( F \)
• The total minutes of the outside tasks: \( G + D \)
• The total minutes of the tasks involving animals: \( D + F \)
• The total minutes of the tasks not involving animals: \( G \)