Alan is 14 years old
He is twice as old as James
then Alan is the elder brother
Alan is twice as old means his age is double the age of James
Alans age = 2 x james age
that means James must be half of Alans age
Alans age = 14 years
James age = 14 / 2 = 7 years
therefore James is 7 years old
Ratios and proportions tie into each other. A ratio in real life would be basically comparing two quantities, as a proportion would be solving for the similar ratio or the equal ratio to another.
Answer:
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Step-by-step explanation:
In order to find the speed of each plane we first need to know the relative speed between them, since they are flying in oposite directions their relative speed is the sum of their individual speeds. In this case the speed of the first plane will be "x" and the second plane will be "y". So we have:
x = y - 60
relative speed = x + y = (y - 60) + y = 2*y - 60
We can now apply the formula for average speed in order to solve for "y", we have:
average speed = distance/time
average speed = 1625/2.5 = 650 mph
In this case the average speed is equal to their relative speed, so we have:
2*y - 60 = 650
2*y = 650 + 60
2*y = 710
y = 710/2 = 355 mph
We can now solve for "x", we have:
x = 355 - 60 = 295 mph
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Answer:
For
Step-by-step explanation:
The correct expression is:
Required
Evaluate the expression for
Substitute 2 for b in
Open all brackets
Evaluate all expressions in the absolute value brackets
In absolute values:
So, we have:
Hence:
For