Response:
Her brother catches up to her at 11 am + 4 hours = 15 p.m
Detailed explanation:
Provided information;
Ariel's speed = 45 mph
She departed at 9 a.m
Her brother's speed = 60 mph
He began at 11 a.m
Inferred from the question: Since Ariel's speed is 45 mph, after two hours she is ahead by 90 miles.
Meanwhile, her brother travels at 60 mph, hence he is traveling (60 - 45) = 15 mph faster
Therefore, with this speed, he will catch up to her in
= 4 hours.
So her brother catches up with her at 11 am + 4 hours = 15 p.m
The total volume is stated as 1080 cubic feet.
The height is specified to be 9 feet.
The length exceeds the width by 2 feet, meaning Length = x+2
If the stall measures 10 feet in width, then the corresponding length would be 10 +2 = 12 feet.
Calculating the volume yields 10 x 12 x 9 = 1080 cubic feet.
Therefore, it is feasible for the width to measure 10 feet.
Answer:
Step-by-step explanation:
Refer to the attachment below
Answer:
In approximately 81 days, it is likely that the teacher on bus duty will be certified in CPR
Step-by-step explanation:
The probability of a teacher obtaining certification in Cardio-Pulmonary Resuscitation (CPR) is as follows:
36 out of 80
Hence

In a school year lasting 180 days, how many days can we anticipate that the teacher on bus duty will likely have CPR certification?
45% of the time
0.45 multiplied by 180 results in 81 days
In approximately 81 days, it is likely that the teacher on bus duty will be certified in CPR
This may be a bit awkward to explain in writing, so please bear with me:)
You are given the equations. Begin by focusing on ad = 11.6. Treating variables normally, this reads as a times d = 11.6.
From that, d = 11.6/a by dividing both sides by a.
With d expressed, substitute (11.6/a) into cd = 6.7. Then isolate c by multiplying both sides by a/11.6, yielding c = (6.7a)/11.6.
Now that c is known, insert (6.7a)/11.6 for c in bc = 8.3. The algebra becomes a bit messy, but solving for b gives approximately 14.3705 / a. Since you need ab, multiply both sides by a, and rounding to one decimal place produces ab = 14.4