Answer:
14
Step-by-step explanation:
Convert 21 to a fraction: 21/1
2x21= 42
3x1= 3
42/3= 14
3/3= 1
14/1 --> simplify to 14
This is a unit rate question. We can solve this in chronological order of steps:
Step 1: Write out the beginning for the first unit rate.
Faith completed 60 burpees in 5 minutes last week.
Step 2: Since 60 burpees were completed in 5 minutes, we can divide 60 by 5 to find how many burpees were completed in 1 minute.
60 divided by 5 equals 12.
5 divided by 5 equals 1.
Our fraction for how many burpees Faith did in a minute last week is 12/1. This reduces to 12, meaning that Faith did 12 burpees last week.
Step 3: Find the unit rate for this week.
Faith completed 78 burpees in 6 minutes this week. Because of this, we can divide 78 by 6 to find how many burpees Faith completed this week.
78 divided by 6 equals 13.
6 divided by 6 equals 1.
Our final fraction for how many completed burpees Faith did this week is 13/1, which reduces to 13. Therefore, Faith completed 13 burpees per minute this week.
Your final answer: In terms of separate values, Faith completed 12 burpees per minute last week and 13 burpees per minute this week. If you need help, let me know and I will gladly assist you.
Answer:
A. 1
Step-by-step explanation:
12x + 6 = 5x
12x - 5x = - 6
7x = - 6
x = - 6 / 7
Only one solution.
Answer:
The expression b/(a +b) does not exist when a = -b or b = -a
Step-by-step explanation:
The expression b/(a + b) does not exist if the denominator a + b = 0.
So, a = - b or b = -a.
So, the expression b/(a + b) does not exist when a = -b or b = -a.
When a = -b values, the denominator a + b = -b + b = 0. This will make the expression b/(a + b) = b/0 = ∞ which undefined or does not exist.
When b = -a values, the denominator a + b = a + (-a) = a - a = 0. This will make the expression b/(a + b) = -a/0 = -∞ which undefined or does not exist.
So the expression b/(a +b) does not exist when a = -b or b = -a
