Respuesta :
1 km^2 = 1000m x 1000m = 1 x 10^6 m^2
(145 acres / 247 acres) x 1 x 10^6 m^2 = 5.87 x 10^5 m^2
5.5 g/m^2 x 5.87 x 10^5 m^2 = 3.23 x 10^6 g
3.23 x 10^6 g x 1kg/10000 g = 3.23 x 10^3 kg
(145 acres / 247 acres) x 1 x 10^6 m^2 = 5.87 x 10^5 m^2
5.5 g/m^2 x 5.87 x 10^5 m^2 = 3.23 x 10^6 g
3.23 x 10^6 g x 1kg/10000 g = 3.23 x 10^3 kg
Answer:
4008.10 kg
Step-by-step explanation:
We have been given that a vineyard has 165 acres of chardonnay grapes. a particular soil supplement requires 6.00 grams for every square meter of vineyard.
We know that 1 squared km equals 247 acres.
[tex]\text{165 acres}\times\frac{\text{1 km}^2}{\text{247 acres}}[/tex]
[tex]165\times\frac{\text{1 km}^2}{247}[/tex]
[tex]0.6680161943319838\text{ km}^2[/tex]
We know 1 square km equals 1000000 meters.
[tex]0.6680161943319838\text{ km}^2\times \frac{1000000\text{ m}^2}{\text{ km}^2}[/tex]
[tex]0.6680161943319838\times 1000000\text{ m}^2[/tex]
[tex]668016.1943319838\text{ m}^2[/tex]
Now, we will multiply 6 by [tex]668016.1943319838\text{ m}^2[/tex].
[tex]668016.1943319838\text{ m}^2\times \frac{\text{6 grams}}{\text{m}^2}[/tex]
[tex]668016.1943319838\times \text{6 grams}[/tex]
[tex]4008097.1659919028\text{ grams}[/tex]
[tex]4008097.1659919028\text{ grams}\times \frac{1\text{ kg}}{\text{1000 grams}}[/tex]
[tex]4008.09716599190281\text{ kg}[/tex]
[tex]4008.10\text{ kg}[/tex]
Therefore, 4008.10 kg of the soil supplement are required for the entire vineyard.
