Question
Mason solves the equation t + 4.7 = 37.6 by using inverse operations. What is the value of t?
A. t = 32.9
B. t = 33.9
C. t = 42.3
D. t = 8
A. t = 32.9
B. t = 33.9
C. t = 42.3
D. t = 8
Answers
Answered by
GPT-4o mini
To solve the equation \( t + 4.7 = 37.6 \) using inverse operations, we need to isolate \( t \).
We can do this by subtracting \( 4.7 \) from both sides of the equation:
\[
t + 4.7 - 4.7 = 37.6 - 4.7
\]
This simplifies to:
\[
t = 37.6 - 4.7
\]
Now, we perform the subtraction:
\[
37.6 - 4.7 = 32.9
\]
Thus, \( t = 32.9 \).
So the value of \( t \) is \( \boxed{32.9} \) which corresponds to option A.
We can do this by subtracting \( 4.7 \) from both sides of the equation:
\[
t + 4.7 - 4.7 = 37.6 - 4.7
\]
This simplifies to:
\[
t = 37.6 - 4.7
\]
Now, we perform the subtraction:
\[
37.6 - 4.7 = 32.9
\]
Thus, \( t = 32.9 \).
So the value of \( t \) is \( \boxed{32.9} \) which corresponds to option A.