Question

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

A one over five (m − 4)

B one over five (m − 100)

C 5(m − 4)

D 5(m − 100)

HELP ASAP

Answer 1

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

Explanation:

Let us solve the question

∵ One over five means
`(1)/(5)`

∴ One over five m - 20 =
`(1)/(5)` m - 20

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

from both terms

∴
`(1)/(5)` m - 20 =
`(1)/(5)`
`(((1)/(5)m)/((1)/(5))` -
`(20)/((1)/(5)))`

→ Simplify the bracket

∵
`(1)/(5)` m ÷
`(1)/(5)` =
`(1)/(5)` m × 5 = m

∵ 20 ÷
`(1)/(5)` = 20 × 5 = 100

∴
`(1)/(5)`
`(((1)/(5)m)/((1)/(5))` -
`(20)/((1)/(5)))` =
`(1)/(5)` (m - 100)

∴
`(1)/(5)` m - 20 =
`(1)/(5)` (m - 100)

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