Question

Which pair shows equivalent expressions? mc019-1. Jpg mc019-2. Jpg mc019-3. Jpg mc019-4. Jpg.

Answer 1

the answer is (4,18)

Step-by-step explanation:

Answer 2

Option (b) is the correct answer as the expression
`\(2\left((2)/(5)x + 2\right)\) is equivalent to \((4)/(5)x + 4\)`.

Let's break down each expression to determine their equivalence:

a.
`\(2\left((2)/(5)x + 2\right) = 2\left((2)/(5)x\right) + 1\)`

Expanding the left side:
`\(2 * (2)/(5)x + 2 * 2 = (4)/(5)x + 4\)`

The right side does not match, so option (a) is not equivalent.

b.
`\(2\left((2)/(5)x + 2\right) = (4)/(5)x + 4\)`

This matches the expanded left side of option (b), so option (b) is equivalent.

c.
`\(2\left((2)/(5)x + 4\right) = (4)/(5)x + 8\)`

This does not match the expanded left side of option (c), so option (c) is not equivalent.

d.
`\(2\left((2)/(5)x + 4\right) = 2\left((2)/(5)x\right) + 8\)`

Expanding the left side:
`\(2 * (2)/(5)x + 2 * 4 = (4)/(5)x + 8\)`

This matches the expanded left side of option (d), so option (d) is equivalent.

In summary, the equivalent pair is option (b).

The question probable maybe:

Which pair shows equivalent expressions?

a.
`2(( 2/5 x)+2)=2 (2/5 x)+1`

b.
`2( (2/5 x)+2)= (4/5 x)+4`

c.
`2( (2/5 x)+4)= (4/5 x)+2`

d.
`2( (2/5 x)+4)=2( 2/5 x)+8`