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Noah 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?

a
2(x - 6) = -35 is equivalent to 2x = -23

b
8(x - 7) = 35 is equivalent to 8x = 28

c
9(x - 6) = -35 is equivalent to 9x = -29

d
4(x - 5) = 35 is equivalent to 4x = 40.

Respuesta :

Answer:

Option a.

Step-by-step explanation:

We need to select correct statements form the given options.

[tex]2(x-6)=-35[/tex]

[tex]2x-12=-35[/tex]

[tex]2x=-35+12[/tex]

[tex]2x=-23[/tex]

Therefore, [tex]2(x-6)=-35[/tex] is equivalent to [tex]2x=-23[/tex].

[tex]8(x-7)=35[/tex]

[tex]8x-56=35[/tex]

[tex]8x=35+56[/tex]

[tex]8x=91[/tex]

Therefore, [tex]8(x-7)=35[/tex] is not equivalent to [tex]8x=28[/tex].

[tex]9(x-6)=-35[/tex]

[tex]9x-54=-35[/tex]

[tex]9x=-35+54[/tex]

[tex]9x=19[/tex]

Therefore, [tex]9(x-6)=-35[/tex] is not equivalent to [tex]9x=-29[/tex].

[tex]4(x-5)=35[/tex]

[tex]4x-20=35[/tex]

[tex]4x=35+20[/tex]

[tex]4x=55[/tex]

Therefore, [tex]4(x-5)=35[/tex] is not equivalent to [tex]4x=40[/tex].

Hence, option (a) is correct.

piedpiperjk

Answer:

A. 2(x - 6) = -35 is equivalent to 2x = -23

Step-by-step explanation:

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