R=rate of boat in still water
c=rate of current
d=rt
since you're given that the time it takes to travel the same distance downstream and upstream, your equation will be d_1=d_2, or rt=rt
the rate upstream is r-c and the rate downstream is r+c (because the boat's and river's rates add up)
since you know t_1 and t_1 are 5 and 3, you can now set up 2 equations
<u>5*(r-c)=45</u> because (time upstream)*(rate upstream)=distance=45 miles
r-c=45/5=9
<u>3*(r+c)=45</u>
r+c=45/3=15
r-c=9 and r+c=15, so r=12 mi/h and c=3 mi/h
If you have any questions please ask
Answer:
C) The solution for the system of equations
Step-by-step explanation:
Point (3, 120) is where both lines intercept!
Basically, (3, 120) is where both equations are equal to each other.
(120 = 20(3) + 60) = (120 = 40(3))
We can test it!
120 = 20(3) + 60
120 = 60 + 60
120 (Correct)
120 = 40(3)
120 = 120 (Correct)
The solution to the equation is (325, 404) which is the point of intersection.
<h3>
Linear equation</h3>
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let x represent the number of student tickets and y represent the number of adult tickets.
It is given by the equation:
- x + y = 729 (1)
- 3x + 5y = 2995 (2)
The solution to the equation is (325, 404) which is the point of intersection.
Find out more on Linear equation at: brainly.com/question/14323743
Answer:
f(w) = 120 + 5(30-h)
Step-by-step explanation:
It is given that, Andrew gets paid $4 for first 30 hours of the week
So,
For first 30 hours, his wage will be:
4(30) = $120
Now, let w denote wages and h denote total number or hours he works in the week
So he will be paid $5 for h-30 hours
So the function will be
f(w) = 120 + 5(30-h)
Where $120 is the fixed income for first 30 hours and the second term is the wage of hours more than 30 at the rate of $5 per hour..
The function and the first value stated for x are confusing.
Doing some research, I found that the problem is to evaluate the function
for x = - 1 and x 2.
The solution is:
1) For x = - 1
2) For x = 2
