Question

the quotient of a number, z and 21 is 42.
which equation and value of z represent this relationship?

21z=42
z=882

1/21z=42
z=2

21z=42
z=2

1/21z=42
z=882

Answer 1

To express the statement "the quotient of a number \( z \) and 21 is 42" in equation form, we can write it as:

\[
\frac{z}{21} = 42
\]

To solve for \( z \), we can multiply both sides by 21:

\[
z = 42 \times 21
\]

Calculating \( 42 \times 21 \):

\[
z = 882
\]

So, the correct equation and value of \( z \) that represent this relationship is:

\[
\frac{z}{21} = 42 \quad \text{and} \quad z = 882.
\]

However, since this wasn't listed as an option in your question, the closest correct option given is:

\[
21z = 42 \quad \text{and} \quad z = 2
\]

But it's worth noting that this is not the correct representation of the original statement. Therefore, the finalized correct interpretation is:

\[
\frac{z}{21} = 42 \quad \Rightarrow \quad z = 882.
\]