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:
y = 3x + 30
Step-by-step explanation:
This is what the table should look like.
Number of Bars Sold (x) Total Earnings (dollars) (y)
0 30
1 33
2 36
3 39
When x = 0, y = 30. The point (0, 30) is the y-intercept.
As x goes up by 1, from 0 to 1, from 1 to 2, from 2 to 3, y goes up by 3, from 30 to 33, from 33 to 36, from 36 to 39.
A change of 1 in x results in a change of 3 in y.
That is a slope of 3 since
slope = (change in y)/(change in x)
The equation of a line in slope-intercept form is
y = mx + b
We have m = 3 and b = 30, so the equation is
y = 3x + 30
Answer: 3x + 30
Answer:
1/3 or .3333333.....
Step-by-step explanation:
Slope formula : slope = (y2 - y1) / (x2 - x1)
(2,3)...x1 = 2 and y1 = 3
(4,2)... x2 = 4 and y2 = 2
now we sub and solve
slope = (2 - 3) / (4 - 2) = -1/2 <==
Answer:
Step-by-step explanation:
we know that
<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
To calculate combinations, we will use the formula
where
n represents the total number of items
r represents the number of items being chosen at a time.
In this problem
substitute
simplify
