Answer:
28
Step-by-step explanation:
Let's set the ratio as
7x : 9x
If you add all the states that border an ocean and do not, you will get 48 states (because Alaska and Hawaii are not part of the continental US, as they do not touch the "main" part of the country)
So, we can write this equation.
7x + 9x = 48
Simplify.
16x = 48
Divide both sides by 16.
x = 4
Now, find how many states border an ocean. In our ratio, the number of states that border an ocean was 7x. Substitute x = 4 into 7x
7 * x = 7 * 4 = 28
The number of states that border an ocean is 28.
I hope this helps! Feel free to ask any questions!
Answer:
r = 9
Step-by-step explanation:
Given that c varies directly as (r + 1) then the equation relating them is
c = k(r + 1) ← k is the constant of variation
To find k use the condition c = 8 when r = 3, then
8 = k(3 + 1) = 4k ( divide both sides by 4 )
2 = k
c = 2(r + 1) ← equation of variation
When c = 20, then
20 = 2(r + 1) ← divide both sides by 2
10 = r + 1 ( subtract 1 from both sides )
9 = r
the slope is -6/5. This is because it goes down 6, and then to the right for 5. You can also use the slope formula to solve this.
Explanation:
The function is 
To graph the function, let us find the x and y intercepts.
To find x-intercept, let us substitute y=0 in the function
Thus, the x-intercept is 
To find the y-intercept, let us substitute x=0, we get,
Thus, the y-intercept is 
The graph has no asymptotes.
To plot the points in the graph, we need to substitute the values for x in the function , to find the y-values.
The points are 
. The image of the graph and table is attached below:
