noa hopes to pick the winning ticket during her math class’s raffle. the student who picks the ticket with a true statement will win. which is the winning ticket?4(x-5)=35 is equivalent to 4x=408(x-7)=35 is equivalent to 8x=282(x-6) = -35 is equivalent to 2x=-239(x-6)=-35 is equivalent to 9x=-29

Answer: The winning ticket is [tex]2(x-6)=-35[/tex] is equivalent to [tex]2x=-23[/tex].

Step-by-step explanation:Let's check all the options[tex]4(x-5)=35[/tex] is not equivalent to [tex]4x=40[/tex] [tex]\text{since }4(x-5)=35\\\Rightarrow4x-20=35\\\Rightarrow4x=35+20\\\Rightarrow4x=55[/tex] [tex]8(x-7)=35[/tex] is not equivalent to [tex]8x=28[/tex]
[tex]\text{since }8(x-7)=35\\\Rightarrow8x-56=35\\\Rightarrow8x=35+56\\\Rightarrow8x=91[/tex] [tex]2(x-6)=-35[/tex] is equivalent to [tex]2x=-23[/tex]
[tex]\text{since }2(x-6)=-35\\\Rightarrow2x-12=-35\\\Rightarrow2x=-35+12\\\Rightarrow2x=-23[/tex] [tex]9(x-6)=-35[/tex] is not equivalent to [tex]9x=-29[/tex] [tex]\text{since }9(x-5)=-35\\\Rightarrow9x--40=-35\\\Rightarrow9x=-35+40\\\Rightarrow9x=5[/tex] Thus, the winning ticket is [tex]2(x-6)=-35[/tex] is equivalent to [tex]2x=-23[/tex].