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Answer :
To determine how many acres are needed for 4,160 pear trees, we need to start with the information that the orchard manager wants to plant 600 trees per acre.
Here's how you can find the number of acres required:
1. Understand the Tree Density: The goal is to plant 600 trees per acre, meaning every acre should have 600 pear trees.
2. Determine Total Trees Needed: The manager needs to plant 4,160 pear trees in total.
3. Calculate Acres Needed: To find out how many acres will be required for 4,160 trees, we can divide the total number of trees by the number of trees that fit in one acre. So, the calculation is:
[tex]\[
\text{Acres Needed} = \frac{\text{Total Trees Needed}}{\text{Trees per Acre}} = \frac{4160}{600}
\][/tex]
4. Perform the Division:
[tex]\[
\frac{4160}{600} = 6.93333333
\][/tex]
Therefore, the orchard manager needs approximately 6.93 acres to plant the 4,160 pear trees when planting at a density of 600 trees per acre. Since you typically can't use a fraction of an acre practically, you would generally plan for a slightly larger area, depending on how precise you need to be and any practical considerations for the layout.
Here's how you can find the number of acres required:
1. Understand the Tree Density: The goal is to plant 600 trees per acre, meaning every acre should have 600 pear trees.
2. Determine Total Trees Needed: The manager needs to plant 4,160 pear trees in total.
3. Calculate Acres Needed: To find out how many acres will be required for 4,160 trees, we can divide the total number of trees by the number of trees that fit in one acre. So, the calculation is:
[tex]\[
\text{Acres Needed} = \frac{\text{Total Trees Needed}}{\text{Trees per Acre}} = \frac{4160}{600}
\][/tex]
4. Perform the Division:
[tex]\[
\frac{4160}{600} = 6.93333333
\][/tex]
Therefore, the orchard manager needs approximately 6.93 acres to plant the 4,160 pear trees when planting at a density of 600 trees per acre. Since you typically can't use a fraction of an acre practically, you would generally plan for a slightly larger area, depending on how precise you need to be and any practical considerations for the layout.
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