Answered

IDNLearn.com provides a seamless experience for finding and sharing answers. Join our interactive community and access reliable, detailed answers from experienced professionals across a variety of topics.

Fill the empty slots by dragging tiles from the left to show the next step for solving the equation.

Terrance is 3.5 years older than Stephanie. Stephanie is 22.5 years old. If the equation [tex]t - 3.5 = 22.5[/tex] models the situation, find the value for [tex]t[/tex], Terrance's age.

[tex]\square[/tex]

Sagot :

GinnyAnsweridn
To find Terrance's age, we need to solve the equation given: [tex]\( t - 3.5 = 22.5 \)[/tex].

Here’s the detailed step-by-step solution:

1. Understand the equation: The equation [tex]\( t - 3.5 = 22.5 \)[/tex] represents Terrance being 3.5 years older than Stephanie, where [tex]\( t \)[/tex] is Terrance's age and 22.5 is Stephanie's age.

2. Isolate the variable [tex]\( t \)[/tex]: To find Terrance's age, we need to isolate [tex]\( t \)[/tex] on one side of the equation.

3. Add 3.5 to both sides: To isolate [tex]\( t \)[/tex], we need to eliminate the [tex]\(-3.5\)[/tex] on the left-hand side. We do this by adding 3.5 to both sides of the equation.
[tex]\[ t - 3.5 + 3.5 = 22.5 + 3.5 \][/tex]

4. Simplify the equation: On the left-hand side, [tex]\(-3.5\)[/tex] and [tex]\(+3.5\)[/tex] cancel each other out, leaving us with:
[tex]\[ t = 22.5 + 3.5 \][/tex]

5. Calculate the result:
[tex]\[ t = 26.0 \][/tex]

Therefore, Terrance is [tex]\( 26.0 \)[/tex] years old.
We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Thank you for choosing IDNLearn.com. We’re here to provide reliable answers, so please visit us again for more solutions.