Question

Which expression is equivalent to one over five m − 20? (4 points)

Answer 1

Answer:

The equivalent to one over five m − 20 is one over five (m − 100) ⇒ B

Step-by-step explanation:

Let us solve the question

∵ One over five means $\frac{1}{5}$

∴ One over five m - 20 = $\frac{1}{5}$ m - 20

→ By using the distributive property, take one over five as a common factor

  from both terms

∴ $\frac{1}{5}$ m - 20 = $\frac{1}{5}$ $(\frac{\frac{1}{5}m}{\frac{1}{5}}$ - $\frac{20}{\frac{1}{5}})$

→ Simplify the bracket

∵  $\frac{1}{5}$ m ÷ $\frac{1}{5}$ = $\frac{1}{5}$ m × 5 = m

∵ 20 ÷  $\frac{1}{5}$  = 20 × 5 = 100

∴  $\frac{1}{5}$ $(\frac{\frac{1}{5}m}{\frac{1}{5}}$ - $\frac{20}{\frac{1}{5}})$ = $\frac{1}{5}$ (m - 100)

∴ $\frac{1}{5}$ m - 20 = $\frac{1}{5}$ (m - 100)

The equivalent to one over five m − 20 is one over five (m − 100)