Answer:

Step-by-step explanation:
Given


Required
Determine the total number of markers
First, we need to determine the ratio of black to blue such that


Multiply the ratio by 5


By direct comparison:


The above shows that:

So:



Answer:
<em>The rate of the boat is 75.17 km/h and the rate of the stream is 17.83 km/h</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
B = speed (rate) of the boat in still water
S = speed (rate) of the stream
The boat travels 172 km in 3 hours when going upstream, that is when the speed of the stream subtracts its own speed. The speed is the distance divided by the time, thus:

Multiplying by 3:
3B - 3S = 172 [1]
The boat travels 372 km in 4 hours downstream when the speed of the current adds to its own:

B + S = 93
Solving for B:
B = 93 - S [2]
Substituting in [1]
3(93 - S) - 3S = 172
Operating:
279 - 3S - 3S = 172
279 - 6S = 172
Subtracting 279:
- 6S = 172 - 279
- 6S = -107
Multiplying by -1 and solving for S:

From [2]:


Answer:
Problems like this all have the same solution method.
If you have n letters, you start with n!. Then you divide by k! for each distinct set of k letters.
This is purely mechanical. E.g., if you have
AAAAABBBBCCC
DEFGHIJKLMNOP
there are 25 letters, and groups of 5 4 and 3
The answer is 25! / (5! 4! 3!). See, all you need to do is count the letters and then count how many times any letters are repeated. Then you can just write down the answer.
Once you know that, these problems are really, really easy.
ion:
Step-by-step explanation:
6) x+y=60
x/y=7/5------(2)
x=(7/5)y
(7/5)y + y =60
(12/5)y=60
y=60(5/12)
y= 25
x=(7/5)y=(7/5)×25 =35
the two numbers are 35 and 25
7)distance walked by A = 4t
distance walked by B = 5t
4t+5t=27
9t=27
t=27/9=3hours