Write the following statements in mathematical form using signs and symbols :
Quotient of z by 4 is multiplied by thrice the number y.

Answer

To convert the statement "Quotient of z by 4 is multiplied by thrice the number y" into mathematical form, we can follow these steps:

### Step 1: Identify the Quotient
The phrase "quotient of z by 4" means we need to divide z by 4. In mathematical terms, this is represented as:
\[ \frac{z}{4} \]

### Step 2: Identify Thrice the Number y
The term "thrice the number y" means we need to multiply y by 3. In mathematical terms, this is represented as:
\[ 3y \]

### Step 3: Combine the Expressions
Now, we need to express that the quotient of z by 4 is multiplied by thrice the number y. This means we take the result from Step 1 and multiply it by the result from Step 2. In mathematical terms, this is represented as:
\[ \frac{z}{4} \times 3y \]

### Final Expression
Putting it all together, the mathematical form of the statement is:
\[ \frac{z}{4} \times 3y \]