Answer:
Let the current speed be "c";
Then the boat speed in still wate is "5c":
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Upstream speed:
distance = 12 miles ; rate = 5c-c = 4c mph ; time = 12/4c = 3/c hrs
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Downstream speed:
distance = 12 miles ; rate = 5c+c = 6c mph ; time = 12/6c = 2/c hrs
Step-by-step explanation:
Equation:
time + time = 2 1/2 hrs
3/c + 2/c = 5/2
Multiply thru by 2c to get:
6 + 4 = 5c
c = 2 mph (speed of the current)
5c = 10 mph (speed of the boat in still water)
Answer:

Step-by-step explanation:
<u>Logarithms</u>
Some properties of logarithms will be useful to solve this problem:
1. 
2. 
3. 
We are given the equation:

Applying the second property:

Substituting:

Applying the first property:

Operating:

Rearranging:

Simplifying:

Dividing by 3:

Applying the third property:

Applying inverse logs:

Let list the data in ascending order 100, 100, 105, 113, 129, 132, 146, 152, 176, 200
There are ten numbers so the thirtieth percentile would be the .3 * 10
= 3rd number, ordered from smallest to largest.
so the third number, the thirtieth percentile, is 105
Answer:
a. 1/2
b. 1 hair cut
c. 2.5
Step-by-step explanation:
4/8 divde by 4 to simplify and that gets you 1/2
8/4 is 2 so he does one hair cut every two hours
so you know how many he can do in 2 hours so add it up. It’s going to be 2 people in four hours so it will be half a hair cut in 5 hours
Answer:
The answer 6+3x, 6 + 3x, because (5x − 2x) + 6 = 3x + 6 = 6 + 3x
Step-by-step explanation: