Question

Which expression is equivalent to 1/3 (4 - 5x - 1)

a. -5/3x - 1
b. -5/3x - 1
c. -5x + 1/3
d. -5x + 3

Answer 1

The equivalent expression to 1/3 (4 - 5x - 1) is found by distributing the 1/3 across each term within the parentheses, resulting in -5/3x + 1, which corresponds to option c.

Step-by-step explanation:

The question asks which expression is equivalent to 1/3 (4 - 5x - 1). To find the equivalent expression, we distribute the 1/3 inside the parentheses to every term.

• 1/3 × 4 = 4/3 or 1.33
• 1/3 × (-5x) = -5/3x
• 1/3 × (-1) = -1/3

Adding these results together:

4/3 + (-5/3x) + (-1/3) = -5/3x + 1, because 4/3 - 1/3 = 3/3, which simplifies to 1.

Hence, the equivalent expression is -5/3x + 1, which corresponds to option c.

Answer 2

1/3 (4 - 5x - 1)
= 1/3 (3 - 5x)
= 1 - 5/3 x
= - 5/3 x + 1

answer

- 5/3 x + 1
( p.s you put answer choices on a and b the same)