Final answer:
To find the ratio of the number of machines to tables polished in one hour, we divide 42 tables by 6 machines, resulting in a 7:1 ratio. Measurements for objects like tables are typically done using a meter stick, and cutting pieces from a length of wood or wire involves dividing the total length by the size of each piece.
Step-by-step explanation:
To solve the problem regarding the ratio of the number of machines to the number of tables polished in one hour, we use the information provided: six machines can polish 42 tables in one hour. Dividing the number of tables by the number of machines gives us a ratio of 42 tables to 6 machines, which simplifies to 7 tables per machine. This is written as 7:1, the ratio of tables to machines.
Concerning the various measurements:
- To measure the length of a table, as referenced by LibreTexts, a meter stick would be the appropriate tool.
- For cutting pieces of wire or paper, we need to divide the total length by the length of each individual piece to determine how many such pieces can be obtained.
For question A and D, referring to fractions of a piece of wood (presumed to be "what is 2/9" and "what is 2/3" due to typos), we need to multiply the total length of the wood by the fraction.