A hard disk of 4gb is required to store a pile of 800mb and another pile of 2.4gb. What capacity of the hard…

Question

A hard disk of 4gb is required to store a pile of 800mb and another pile of 2.4gb. What capacity of the hard disk is free? (b) What is the total pile stored in mb.

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Here are the solutions to your assignment problems:

Problem A: A hard disk of $4 \text{ GB}$ is required to store a pile of $800 \text{ MB}$ and another pile of $2.4 \text{ GB}$ . What capacity of the hard disk is free?

Convert all capacities to a common unit, Megabytes ( $\text{MB}$ ), using the conversion $1 \text{ GB} = 1024 \text{ MB}$ .
Hard disk capacity:
$4 \text{ GB} = 4 \times 1024 \text{ MB} = 4096 \text{ MB}$
First file size: $800 \text{ MB}$
Second file size:
$2.4 \text{ GB} = 2.4 \times 1024 \text{ MB} = 2457.6 \text{ MB}$
Calculate the total space used by the files.
$\text{Total used space} = 800 \text{ MB} + 2457.6 \text{ MB} = 3257.6 \text{ MB}$
Calculate the free capacity on the hard disk.
$\text{Free capacity} = \text{Total hard disk capacity} - \text{Total used space}$ $\text{Free capacity} = 4096 \text{ MB} - 3257.6 \text{ MB} = 838.4 \text{ MB}$
To express this in Gigabytes ( $\text{GB}$ ):
$\text{Free capacity} = \frac{838.4}{1024} \text{ GB} = 0.81875 \text{ GB}$
The free capacity of the hard disk is $\boxed{\text{838.4 MB or 0.81875 GB}}$ .

Problem B: What is the total pile stored in $\text{MB}$ ?
Use the file sizes already converted to $\text{MB}$ from Problem A.
First file size: $800 \text{ MB}$
Second file size: $2.4 \text{ GB} = 2457.6 \text{ MB}$
Calculate the total stored capacity in $\text{MB}$ .
$\text{Total stored capacity} = 800 \text{ MB} + 2457.6 \text{ MB} = 3257.6 \text{ MB}$
The total pile stored is $\boxed{\text{3257.6 MB}}$ .

A hard disk of 4gb is required to store a pile of 800mb and another pile of 2.4gb. What capacity of the hard disk is free? (b) What is the total pile stored in mb.

Answer

Step-by-step solution

Convert all capacities to a common unit, Megabytes ( $\text{MB}$ ), using the conversion $1 \text{ GB} = 1024 \text{ MB}$ .

Calculate the total space used by the files.

Calculate the free capacity on the hard disk.

Use the file sizes already converted to $\text{MB}$ from Problem A.

Calculate the total stored capacity in $\text{MB}$ .

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More Mathematics Questions

A hard disk of 4gb is required to store a pile of 800mb and another pile of 2.4gb. What capacity of the hard disk is free? (b) What is the total pile stored in mb.

Answer

Step-by-step solution

Convert all capacities to a common unit, Megabytes (MB\text{MB}MB), using the conversion 1 GB=1024 MB1 \text{ GB} = 1024 \text{ MB}1 GB=1024 MB.

Calculate the total space used by the files.

Calculate the free capacity on the hard disk.

Use the file sizes already converted to MB\text{MB}MB from Problem A.

Calculate the total stored capacity in MB\text{MB}MB.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Convert all capacities to a common unit, Megabytes ( $\text{MB}$ ), using the conversion $1 \text{ GB} = 1024 \text{ MB}$ .

Use the file sizes already converted to $\text{MB}$ from Problem A.

Calculate the total stored capacity in $\text{MB}$ .