To find an expression equivalent to 20(9+5).

The expression $20(9+5)$ means 20 multiplied by the sum of 9 and 5.
Using the order of operations (PEMDAS/BODMAS), we first calculate the sum inside the parentheses:

$$9+5 = 14$$

Then, we multiply by 20:

$$20 \times 14 = 280$$

• A) $9(20+5)$

  $$9(20+5) = 9(25) = 225$$

  This is not equal to 280.

• B) $20(5+9)$ Using the commutative property of addition, $9+5$ is equivalent to $5+9$.

  $$20(5+9) = 20(14) = 280$$

  This is equal to 280.

• C) $20(9)+5$

  $$20(9)+5 = 180+5 = 185$$

  This is not equal to 280.

• D) $(20+9)5$

  $$(20+9)5 = (29)5 = 145$$

  This is not equal to 280.

• E) $20+(9)(5)$

  $$20+(9)(5) = 20+45 = 65$$

  This is not equal to 280.

Comparing the values, only option B is equivalent to the original expression.

The final answer is $\boxed{\text{B}}$.