Question

an institution transfers 211 prisoners to other institutions after a major redistribution of inmates in a state. what is the current inmate number at the facility if it was 611 prisoners? (you do not need to include the units. only enter the number value for an answer.) question 21 6 pts a formula for converting the area of a rectangular storage space into another larger unit is as follows: \\(\frac{l \times w}{(\text{conversion rate})^2}\\) or \\(l \times w \div (\text{conversion rate})^2\\). solve the formula for a rectangular storage area with length of 27 feet and width of 12 feet converted into yards: \\(\frac{27 \times 12}{3^2}\\)

Explanation:

First Problem (Prisoner Transfer)

Step1: Identify initial and transferred number

Initial inmates: \( 611 \), Transferred: \( 211 \)

Step2: Subtract transferred from initial

Current = \( 611 - 211 \)

Step1: Calculate numerator (L×W)

\( 27 \times 12 = 324 \)

Step2: Calculate denominator (\( 3^2 \))

\( 3^2 = 9 \)

Step3: Divide numerator by denominator

\( \frac{324}{9} = 36 \)

Answer:

\( 400 \)

Second Problem (Area Conversion)