Answer:
80 and 4
Step-by-step explanation:
80 divided by 4 equals 20. 80 + 4 = 84
![t=\frac{d}{v}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bd%7D%7Bv%7D)
t - time, d - distance, v - speed
Let x be Jaime's normal rowing speed.
The wind adds 2 miles per hour to her speed when she is rowing with the wind - so her speed is x+2, and she can row 60 miles at that speed in time t.
![t=\frac{60}{x+2}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B60%7D%7Bx%2B2%7D)
The wind subtracts 2 miles per hour from her speed when she is rowing against the wind - so her speed is x-2, and she can row 48 miles at that speed in the same time t.
![t=\frac{48}{x-2}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B48%7D%7Bx-2%7D)
Set the expressions for t equal to each other:
![\frac{60}{x+2}=\frac{48}{x-2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{cross multiply} \\ 60(x-2)=48(x+2) \ \ \ \ |\div 12 \\ 5(x-2)=4(x+2) \\ 5x-10=4x+8 \\ 5x-4x=8+10 \\ x=18 ](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7Bx%2B2%7D%3D%5Cfrac%7B48%7D%7Bx-2%7D%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%7C%5Chbox%7Bcross%20multiply%7D%20%5C%5C%0A60%28x-2%29%3D48%28x%2B2%29%20%5C%20%5C%20%5C%20%5C%20%7C%5Cdiv%2012%20%5C%5C%0A5%28x-2%29%3D4%28x%2B2%29%20%5C%5C%0A5x-10%3D4x%2B8%20%5C%5C%0A5x-4x%3D8%2B10%20%5C%5C%0Ax%3D18%0A)
Jaime's normal rowing speed is 18 miles per hour.
9514 1404 393
Explanation:
Add 2x to both sides
-3x=6
Divide both sides by-3
x=-2
_____
First you want to separate the variable terms and constant terms. Here, that is done by adding the opposite of -2x to both sides.
Then you want to divide by the coefficient of x, so you have the variable by itself. Since the coefficient after the first step is -3, you divide both sides by -3.
Answer:
9%
Step-by-step explanation:
p*r*t = Interest
$6000*x*10 years = $5400
interest ÷ time ÷ principal = rate
5400 ÷ 10 ÷ 6000 = 0.09
0.09 = 9%