Andy is awake for 16 hours every day. he spends 15% of the time he is awake swimming laps at the pool. what is the expression th
2 answers:
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First, note that x is undefined at 5. / x ≠ 5
Second, replace the inequality sign with an equal sign so that we can solve it like a normal equation. / Your problem should look like:
Third, multiply both sides by x - 5. / Your problem should look like: 3x - 5 = 0
Forth, add 5 to both sides. / Your problem should look like: 3x = 5
Fifth, divide both sides by 3. / Your problem should look like: x =
Sixth, from the values of x above, we have these 3 intervals to test:
x <
x > 5
Seventh, pick a test point for each interval.
1. For the interval x <
Let's pick x - 0. Then,
After simplifying, we get 1 > 0 which is true.
Keep this interval.
2. For the interval
Let's pick x = 2. Then,
After simplifying, we get -0.3333 > 0, which is false.
Drop this interval.
3. For the interval x > 5:
Let's pick x = 6. Then,
After simplifying, we get 13 > 0, which is ture.
Keep this interval.
Eighth, therefore, x <
Answer: x <
Answer:
<em>Rate of Pratap in still water is 4.5 miles/hour and rate of current is 0.5 miles/hour.</em>
Step-by-step explanation:
Pratap Puri rowed 10 miles down a river in 2 hours, but the return trip took him 2.5 hours.
We know that,
So, the <u>speed of Pratap with the current</u> will be: miles/hour
and the <u>speed of Pratap against the current</u> will be: miles/hour.
Suppose, the rate of Pratap in still water is and the rate of current is
.
So, the equations will be........
Adding equation (1) and (2) , we will get......
Now, plugging this into equation (1), we will get.....
Thus, Pratap can row at 4.5 miles per hour in still water and the rate of the current is 0.5 miles/hour.