Answer:
d) [tex](9*3/4)+y[/tex]
Step-by-step explanation:
b) [tex]9+y*(3/4)[/tex]
This expression is not equivalent, as the original expression, [tex]y+9*\frac{3}{4}[/tex] , has 9 multiplied to [tex]\frac{3}{4}[/tex] instead of y. You can interchange values like this when it comes to addition, but not multiplication.
c) [tex](y+9)(3/4)[/tex]
This expression is also not equivalent. After opening up the parentheses, it would again result in y being multiplied to [tex]\frac{3}{4}[/tex].
[tex](y+9)(3/4)\\= y(3/4)+9(3/4)[/tex]
d) [tex](9*3/4)+y[/tex]
This expression is equivalent, as 9 and [tex]\frac{3}{4}[/tex] are still being multiplied together and y is added to the product. We can actually rearrange this to look like the original expression:
[tex](9*3/4)+y\\=y+(9*3/4)\\=y+(9*\frac{3}{4} )\\=y+9*\frac{3}{4}[/tex]
I hope this helps!
