The amount of the soil supplement is required for the entire vineyard \(\boxed{3230{\text{ kilogram}}}.\)
Further explanation:
Given:
A vineyard has 145 acres of Chardonnay grapes.
A particular soil supplement requires 5.50 grams for every square meter of vineyard.
\(\boxed{1{\text{ k}}{{\text{m}}^{\text{2}}} = 247{\text{ acres}}}\)
Explanation:
A vineyard has 145 acres of Chardonnay grapes.
Convert 145 acres in \(k{m^2}.\)
\(\begin{aligned}145{\text{ acres}}&= \frac{{145}}{{247}} \times {\text{ 1 k}}{{\text{m}}^2}\\&= 0.587{\text{ k}}{{\text{m}}^2}\\\end{aligned}\)
In \(1{\text{ }}{{\text{m}}^2}\) area the amount of soil supplement requires is \(5.5{\text{ gram}}.\)
\(1{\text{ }}{{\text{m}}^2} \to 5.50{\text{ gram}}\)
In \(1{\text{ k}}{{\text{m}}^2}\) the required amount of soil supplement can be calculated as follows,
\(1{\text{ k}}{{\text{m}}^2} = 5.50 \times {10^3}{\text{ kg}}\)
The amount of soil supplement required for \(145{\text{ acres}}\) of land can be calculated as follows,
\(\begin{aligned}{\text{Soil supplement}} &= \frac{{145}}{{247}} \times 5.50 \times {10^3}{\text{ kg}}\\{\text{ }}&=\frac{{797500}}{{247}}{\text{ kg}}\\&= 3230{\text{ kg}}\\\end{aligned}\)
The amount of the soil supplement is required for the entire vineyard \(\boxed{3230{\text{ kilogram}}}.\)
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Unit Conversion
Keywords: vineyard, 145 acres, Chardonnay grapes, particular soil, supplement, 5.50 grams, square meter of vineyard, kilograms, entire vineyard, significant figures, three significant figures, 1 km2 = 247 acres,
