Olivia and Isabella each earn d dollars for each dog she walks. One day, Olivia walks 6 dogs and gets $8 in tips. That same day, Isabella walks 9 dogs and gets $12 in tips.
a. Olivia writes 6d + 8 + 9d + 12 to represent the amount
they earn together. Isabella writes 5(3d + 4). Are their
expressions equivalent? Show your work.

Respuesta :

Answer:

Yes they are equivalent, both equations equals [tex]15d+20[/tex]

Step-by-step explanation:

We first simplify Olivia's equation

[tex]6d + 8 + 9d + 12[/tex]

1. we combine like terms in the equation: [tex]6d + 8 + 9d + 12[/tex]

[tex]6d+9d[/tex]

[tex]8+12[/tex]

[tex]15d+20[/tex]

Now we simplify Isabella's

[tex]5(3d + 4)[/tex]

1. we do distributive property

[tex]5*3d[/tex]

[tex]5*4[/tex]

[tex]15d+20[/tex]

If you have any quesitons feel free to ask