What is the sum of all the prime numbers between 12 and 49?

The correct option is 300.

To find the sum of all the prime numbers between 12 and 49, we first need to identify all the prime numbers in this range. A prime number is a whole number greater than 1 whose only divisors are 1 and itself.

Let's list the prime numbers between 12 and 49:
13, 17, 19, 23, 29, 31, 37, 41, 43, and 47.

Now, we add these prime numbers together to find their sum:

$\text{Sum}=13+17+19+23+29+31+37+41+43+47$

To calculate this sum systematically, we can group the numbers:
$(13+17)+(19+23)+(29+31)+(37+41)+(43+47)$
$=30+42+60+78+90$
$=72+60+78+90$
$=132+78+90$
$=210+90$
$=300$

Therefore, the sum of all the prime numbers between 12 and 49 is 300.