Supplementary angles must add to 180 degrees. Let x and y be the measure of the two angles.
y= 6x+5
x+y=180
Substitute y
x+6x+5=180
7x+5=180
7x=175
x=25
Plug the value of x in
25+y=180
y=155
Final answer: 155 degrees
The maximum speed of a boat at 30 feet length of water is 0.093 nautical miles/hour or knots.
<u>Step-by-step explanation:</u>
- The equation for the maximum speed, s is given by s²= (16/9)x
- where, x is the length of the water line in feet.
It is given that, the modeled equation s²= (16/9)x is used to find the maximum speed in knots or nautical miles per hour.
The question is asked to find the maximum speed when the length of the water is 30 feet.
Therefore, to find the maximum speed in 30 feet water, the given modeled equation is used. So, substitute the 30 feet in place of x.
<u>Now, calculating the maximum speed :</u>
s² = (16/9)(30)
s² = 480 / 9
s² = 53.3
Taking square root on both sides,
s = √53.3
s = 7.3
The maximum speed of a boat at 30 feet length of water is 7.3 nautical miles/hour or knots.
The first to solve x, because it eliminates y. Third one to solve y, because it eliminates x.
Solving for a variable means to rewrite the equation so that the desired variable is alone on one side. So, we have to "move" all the other variables/constants in order to make this happen. We are allowed to add/subtract the same quantity from both sides, or to multiply/divide both sides by any non-zero number.
Let's start with the first example: we are given
11. 
the variable
is not alone on the right hand side because it is multiplied by
. We can reverse this by dividing both sides by
: the equation becomes

So, we have written the equation as
, which means that
now sits alone on one side of the equation, and thus we have solved the equation for
!
Similarly, we do all the others:
12. 
Subtract
from both sides to get

13. 
Subtract
from both sides to get

Now divide both sides by
to get

14. 
Multiply both sides by 2:

Divide both sides by
:

Part A:
x - total number of liters ( milk + water )
0.2 x + 1 = x
Part B :
0.2 x + 1 = x
0.8 x = 1
x = 1 : 0.8 = 1.25 lit.
Milk:
1.25 x 0.2 = 0.25 lit.