need help with a homework please explain how to get answer to ms hernandez has 17 tomato plants that she want to plant in rows. she will put 2 plants in some rows and 1 plant in the others. how many different ways can she plant the tomato plants? make a table to solve

not sure one

To find the number of different ways Ms. Hernandez can plant the tomato plants, we can create a table to systematically list the possibilities.

Step 1: Understand the problem:
Ms. Hernandez has 17 tomato plants that she wants to plant in rows. She can put 2 plants in some rows and 1 plant in the others. We need to determine how many different ways she can arrange the plants.

Step 2: Create a table:
Create a table with two columns. The first column represents the number of rows with 2 plants, and the second column represents the number of rows with 1 plant.

| Rows with 2 plants | Rows with 1 plant |
|--------------------|------------------|
| | |

Step 3: Generate possibilities:
Start filling in the table from the top-left cell and work our way down to the bottom-right cell.
- Let's start by considering the maximum number of rows with 2 plants, which is 17 rows (since we have 17 tomato plants).
- In this case, there are no rows with 1 plant.
- So, we can fill in the first cell of the table with 17 and 0 (17 rows with 2 plants and 0 rows with 1 plant).

| Rows with 2 plants | Rows with 1 plant |
|--------------------|------------------|
| 17 | 0 |

- Now we have to consider the other possibilities, while making sure to fulfill the condition that Ms. Hernandez has a total of 17 tomato plants.
- Let's gradually decrease the number of rows with 2 plants and increase the number of rows with 1 plant, while keeping their sum equal to 17.
- Here is an example of how the table could look like after filling in all the possibilities:

| Rows with 2 plants | Rows with 1 plant |
|--------------------|------------------|
| 17 | 0 |
| 16 | 1 |
| 15 | 2 |
| 14 | 3 |
| 13 | 4 |
| ... | ... |
| 0 | 17 |

Step 4: Count the possibilities:
Count the number of rows in the table. In this case, there are 18 rows, which means there are 18 different ways Ms. Hernandez can plant the tomato plants.

So, the answer is that there are 18 different ways Ms. Hernandez can plant the tomato plants.