Since there is nothing on the left side of the equation besides the absolute value, you have to take 6m out of the absolute value and create 2 separate equations. These 2 equation will be 6m = 42 and 6m = -42.
You solve the equations normally:
6m = 42 6m = -42 (inverse to get m by itself, do on both sides)
/6 /6 /6 /6
m = 7 m = -7
The answer is a solution set:
[7, -7]
Answer:
The county will plan to process 6000 prisoners per year.
Step-by-step explanation:
The holding area at the new location has design and effective capacities of 10,000 and 7,500 prisoners processed annually, respectively, a
We will multiply the effective capacity by 80%.
Hence, the county will plan to process 6000 prisoners per year.
Answer: 2/3
Step-by-step explanation: In this problem, we have 8/15 ÷ 4/5. Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.
8/15 ÷ 4/5 can be rewritten as 8/15 × 5/4
Now, we are simply multiplying fractions so we multiply across the numerators and multiply across the denominators.
8/15 × 5/4 = 40/60 = 2/3
