Certainly! Let's solve the equation step-by-step and find the value of [tex]\( y \)[/tex], rounding to the nearest hundredth.
We start with the given equation:
[tex]\[ 27.8 = 1.55y \][/tex]
To isolate [tex]\( y \)[/tex], we need to divide both sides of the equation by 1.55:
[tex]\[ y = \frac{27.8}{1.55} \][/tex]
Now, we calculate the division:
[tex]\[ y = 17.93548387096774 \][/tex]
Next, we need to round this value to the nearest hundredth. The value of [tex]\( y \)[/tex] is approximately 17.94 when rounded to two decimal places.
So, the solution is:
[tex]\[ y \approx 17.94 \][/tex]
Thus, when [tex]\( y \)[/tex] is calculated and rounded to the nearest hundredth, the value of [tex]\( y \)[/tex] is approximately 17.94.