Step-by-step explanation:
We want to find two things-- the speed of the boat in still water and the speed of the current. Each of these things will be represented by a different variable:
B = speed of the boat in still water
C = speed of the current
Since we have two variables, we will need to find a system of two equations to solve.
How do we find the two equations we need?
Rate problems are based on the relationship Distance = (Rate)(Time).
Fill in the chart with your data (chart attached)
The resulting speed of the boat (traveling upstream) is B-C miles per hour. On the other hand, if the boat is traveling downstream, the current will be pushing the boat faster, and the boat's speed will increase by C miles per hour. The resulting speed of the boat (traveling downstream) is B+C miles per hour. Put this info in the second column in the chart. Now plug it into a formula! <u>Distance=(Rate)(Time) </u>Now solve using the systems of equations!
Answer:
$2.40 or $77.55
Step-by-step explanation:
I don't know if you are asking for how much off or what, so I'm doing both
First, we have to find how much we have to take off or what is 30% of 79.95 so our equation is:
79.95 x 0.03 = 2.40
So 30% of 79.95 is $2.40
To find how much our new price sale is, we have to take that $2.40 off so our equation is:
79.95 - 2.4 = 77.55
So our discount price is $77.55
hope this helps:)
Answer:
3+2+2-1+2=8
Step-by-step explanation:
Hope this helps!
Answer:
D. y = 2x - 2
Step-by-step explanation:
1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:
A line placed in slope-intercept form is represented by the formula 
. The 
, or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.
2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.
We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.
Use the point-slope formula 
and substitute values for , 
, and 
. Since represents the slope of the line, substitute 2 in its place. Since and represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:
So, option D is correct.
