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Question
Which two expressions are equivalent to 7(t + 5)?
Responses
A 7 • 5 + 7 • t7 • 5 + 7 • t
B 7 • 5 • t7 • 5 • t
C 5(t + 7)5( t + 7)
D (5 + t) • 7(5 + t ) • 7
E 7 • 5 + t
7 • 5 + t
To find the two expressions that are equivalent to 7(t + 5), let's simplify each option:
A) 7 • 5 + 7 • t = 35 + 7t
B) 7 • 5 • t = 35t
C) 5(t + 7) = 5t + 35
D) (5 + t) • 7 = 35 + 7t
E) 7 • 5 + t = 35 + t
Comparing these options, we can see that options A and D are equivalent to 7(t + 5). Therefore, the correct answer is A and D.