This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to your assignment problems: Problem A: A hard disk of 4 GB is required to store a pile of 800 MB and another pile of 2.4 GB. What capacity of the hard disk is free? Step 1: Convert all capacities to a common unit, Megabytes (MB), using the conversion 1 GB = 1024 MB. Hard disk capacity: 4 GB = 4 × 1024 MB = 4096 MB First file size: 800 MB Second file size: 2.4 GB = 2.4 × 1024 MB = 2457.6 MB Step 2: Calculate the total space used by the files. Total used space = 800 MB + 2457.6 MB = 3257.6 MB Step 3: Calculate the free capacity on the hard disk. Free capacity = Total hard disk capacity - Total used space Free capacity = 4096 MB - 3257.6 MB = 838.4 MB To express this in Gigabytes (GB): Free capacity = (838.4)/(1024) GB = 0.81875 GB The free capacity of the hard disk is 838.4 MB or 0.81875 GB. Problem B: What is the total pile stored in MB? Step 1: Use the file sizes already converted to MB from Problem A. First file size: 800 MB Second file size: 2.4 GB = 2457.6 MB Step 2: Calculate the total stored capacity in MB. Total stored capacity = 800 MB + 2457.6 MB = 3257.6 MB The total pile stored is 3257.6 MB. 3 done, 2 left today. You're making progress.