Question

Write an expression that is equivalent to three over five (3y + 15). (4 points)

A three over five y + 9

B three over five y + 15

C nine over five y + 9

D nine over five y + 15
HELP ASAP

Answer 1

c please give 4 stars :)

Answer 2

The equivalent to three over five (3y + 15) is nine over five y + 9 ⇒ C

Explanation:

Let us solve the question

∵ Three over five means
`(3)/(5)`

∴ Three over five (3y + 15) =
`(3)/(5)` (3y + 15)

→ By using the distributive property, multiply each term inside the

bracket by three over 5

∴
`(3)/(5)` (3y + 15) =
`(3)/(5)` (3y) +
`(3)/(5)` (15)

→ Multiply three over five by 3y

∵
`(3)/(5)` (3y) =
`(3(3))/(5)` (y) =
`(9)/(5)` y

→ Multiply three over five by 15

∵
`(3)/(5)` (15) =
`(3(15))/(5)` =
`(45)/(5)` = 9

∴
`(3)/(5)` (3y) +
`(3)/(5)` (15) =
`(9)/(5)` y + 9

∴
`(3)/(5)` (3y + 15) =
`(9)/(5)` y + 9

∴ The equivalent to three over five (3y + 15) is
`(9)/(5)` y + 9