A storage bin for recycled materials initially holds $M$ kilograms of plastic. On Monday, $A$ kilograms of plastic are added to the bin. On Tuesday, $R$ kilograms of plastic are removed from the bin for processing.
Write an algebraic expression for the final mass of plastic remaining in the bin.
If the bin started with $M=250$ kg, $A=75$ kg were added, and $R=120$ kg were removed, calculate the final mass of plastic in the bin.
A numerical value, let's call it $k$, is initially set to 15. The value of $k$ undergoes the following changes in sequence:
What is the final value of $k$ after these three steps?
A digital sensor measures a precise length as $L = 31.87$ centimeters. For a simplified report, the system records only the whole number part of this measurement, discarding the decimal part (truncation). What length value is recorded for the report?
Let two numbers be $x = 10$ and $y = 4$. A new value $z$ is calculated using the formula $z = x \div y$. After $z$ is calculated, the value of $x$ is updated using the formula $x = x + z$. What are the final values of $x$, $y$, and $z$? (Note: $z$ can be a decimal number).
An automated packaging system is designed to fill bags with rice. Each bag is intended to contain $S$ grams of rice. The system is set to fill a total of $N$ bags. The total amount of rice required, $T$, is calculated as $T = S \times N$.
If each bag requires $S=750$ grams and the system is set to fill $N=30$ bags, what is the total amount of rice $T$ (in grams) needed?
Suppose the machine has a total of $12000$ grams of rice available ($T=12000$). If each bag still requires $S=750$ grams, how many full bags ($N$) can be filled? (The number of bags must be a whole number, as a partially filled bag is not considered 'filled').