If the speed of the stream is x
Time is given by d/r , where r is the rate and d is the distance;
Rate for upstream = (15-x) mph and that of down stream is (15 +x) mph
The time taken will be the same;
Thus; 2/(15-x) = 4/(15+x)
cross multiplying;
30 +2x = 60 -4x
6x = 30
x =5
Therefore the rate of the river is 5 mph
Simplify by combining like terms to
-n+4=8n-5
subtract 8n from both sides
-n+4-8n=8n-5-8n
-9n+4=-5
subtract 4 from both sides
-9n+4-4=-5-4
-9n=-9
Divide both sides by -9
-9n/-9=-9/-9
n=1
hope this helps!
Answer:
x = 25 ft
Step-by-step explanation:
here we see the student standing and creating a small triangle that is equivalent to the big triangle since it has the same angles, the only difference is that its smaller, so what we have to do is make a proportion of both triangles, so since 8 ft correspond with the 40 ft they're going to be in the same part of the proportion and the other measurements, including x, on the other part, so itll be 5/8 and x/40, see how the 8 and 40 are both on the bottom? thats because they correspond, so now all you have to do is cross butterfly, so you can set up an expression on 8x= 5*40 or you can just multiply 5*40 and then divide by 8, your answer will be x= 25 ft
Answer:
5 servers and 3 cooks(since a person doesn't exist in fraction)
Step-by-step explanation:
From the question provided above, the manager(who is obviously organizing some kind of party or get-togethers) is expecting a hindered and fifty guests in total .
And it also says that if a server can handle 30 guests and 150,how many of them are need?
Let X be number of servers needed:
X= 150/30 = 5 servers
AND
If a single cook can prepare meals for 60 guests,the number of cooks required to cover for 150 guest will be:
X= 150/60 = 2.5,but since a fraction of a human doesn't exist, we have to say that the manager needs 3 cooks(2 of them will handle a total of 120 guests and the other cook handles the 30 guests)
