Exaluate the expression $$ \left(a^{2}+12 c\right) \div(7 b-1) $$ when $$ a=4, b=3 $$, and $$ c=\frac{1}{3} $$

Question

UpStudy AI · Accepted Answer

To evaluate the expression:

$$
\frac{a^{2} + 12c}{7b - 1}
$$

given the values $$ a = 4 $$, $$ b = 3 $$, and $$ c = \frac{1}{3} $$, follow these steps:

1. **Calculate $$ a^{2} $$:**
   $$
   a^{2} = 4^{2} = 16
   $$

2. **Calculate $$ 12c $$:**
   $$
   12c = 12 \times \frac{1}{3} = 4
   $$

3. **Find the numerator $$ a^{2} + 12c $$:**
   $$
   16 + 4 = 20
   $$

4. **Calculate $$ 7b - 1 $$:**
   $$
   7b - 1 = 7 \times 3 - 1 = 21 - 1 = 20
   $$

5. **Divide the numerator by the denominator:**
   $$
   \frac{20}{20} = 1
   $$

**Final Answer:** The value of the expression is $$1$$.
The value of the expression is 1.

Exaluate the expression \( \left(a^{2}+12 c\right) \div(7 b-1) \) when \( a=4, b=3 \), and \( c=\frac{1}{3} \)