let's recall that d = rt, distance = rate * time.
he went upstream to a distance "d", got tired and came back to his starting point, so he rowed back a distance "d" exactly.
we know the rates, we also know the trip took 2 hours, let's say on the way over he took "t" hours to get there, on the way back he lasted then "2 - t" hours.

![\stackrel{\textit{substituting on the 2nd equation}}{2t=8(2-t)\implies 2t=16-8t}\implies 10t=16\implies t=\cfrac{16}{10}\implies t=\cfrac{8}{5} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{d=2t}\implies d=2\left( \cfrac{8}{5} \right)\implies \stackrel{\textit{3 miles and 1056 feet}}{d=\cfrac{16}{5}\implies d=3\frac{1}{5}}](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7Bsubstituting%20on%20the%202nd%20equation%7D%7D%7B2t%3D8%282-t%29%5Cimplies%202t%3D16-8t%7D%5Cimplies%2010t%3D16%5Cimplies%20t%3D%5Ccfrac%7B16%7D%7B10%7D%5Cimplies%20t%3D%5Ccfrac%7B8%7D%7B5%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bwe%20know%20that%7D%7D%7Bd%3D2t%7D%5Cimplies%20d%3D2%5Cleft%28%20%5Ccfrac%7B8%7D%7B5%7D%20%5Cright%29%5Cimplies%20%5Cstackrel%7B%5Ctextit%7B3%20miles%20and%201056%20feet%7D%7D%7Bd%3D%5Ccfrac%7B16%7D%7B5%7D%5Cimplies%20d%3D3%5Cfrac%7B1%7D%7B5%7D%7D)
Answer:
27=x
Step-by-step explanation:
We can use the triangle angle bisector theorem
x+8 2x-5
--------- = ------------
10 14
Using cross products
14(x+8) = 10 (2x-5)
Distribute
14x +112 = 20x -50
Subtract 14x from each side
14x-14x +112 = 20x-14x -50
112 = 6x-50
Add 50 to each side
112+50 = 6x-50+50
162 = 6x
Divide by 6
162/6 = 6x/6
27=x
15 is the answer
X = 12/0.8
Answer:
a) Incorrect
b) $201
Step-by-step explanation:
a)
$5826 need to be distributed equally among 29 employees . Hence we need to divide 5826 by 29 to know the amount each one will get. Since 58=29*2 and 26≈2, The manager can estimate that each one of the employee will get $201 as bonus. So his reason to estimate was correct but the estimated amount was incorrect.
b)
Each employee will get

= 200.89
Hence Each one will get
$201 rounded to nearest whole number
Answer:
2,3,5,7,11,13,17,19,23
Step-by-step explanation: