The number 1,200 is composed of 1,000 + 200. There are no tens or ones.
1,200 = 1 cube of 1000 and 2 flats of 100.
Step-by-step explanation:
Add 1 to both sides
Multiply both sides by 4
Take the square root of both sides
Subtract 5 from both sides
(straight from khan academy hints)
All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.
That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If

is the component for state

, then you have

which means

. So the state vector is

.
100 miles in 4 hours. The unit rate would be 25 miles per hour.
100miles / 4hrs = 25 miles per hour
Therefore, for every hour you travel, you will gain 25 miles. Or for every 25 miles you travel, you've spent 1 hour traveling it.
y = 25x
where y is the total miles traveled, 25 is the constant unit rate, and x is the number of hours traveled.
for example: you traveled for 8 hours and you want to know how long you've traveled while maintaining the rate of 25mph. Just use the formula
y = 25x
y = 25(8)
y = 200 miles. you have traveled 200 miles in 8 hours.
Answer:
Each person tipped $4.30.
Step-by-step explanation:
We know that the total bill was $51.60. The three people paid a 25% tip, which was split evenly among them.
Since the tip is 25%, it will be 25% of the total. Hence:

The total tip is $12.9.
And since it was evenly split among three people, each person tipped:

Each person tipped $4.30.