At the 3/4 marker, the rider can collect a green ribbon and a blue ribbon.
Because 3/4 is the 3rd stop for a blue ribbon and 3/4 is the 6th stop for a green ribbon.
Answer:
The slope is 0
Step-by-step explanation:
All y-values are equal to 5 meaning the graph is a straight horizontal line. Slope is the rate at which a graph increases or decreases. Seeing as this graph doesn't do so, the slope is 0.
Answer: 6 students
What we know:
Students: 24
Students who play checkers: 
Students who also play sudoku:
of the 
24 ÷ 3 = 8, so 8 × 2 = 16 (students who play checkers)
× 2 = 
So the answer is,
6 students play both checkers and sudoku
The volume of the shape
We have a cylinder that is cut into two. Its external radius is 5ft, while its internal radius is 4ft.
External radius = internal radius + thickness

Internal radius = 4ft (given)
Recall that the volume(V) of a full cylinder is:

Since the cylinder is cut into two, the volume(V) is:

height (h) = 12ft (given)
The volume of the shape:
The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series
The sigma notation of the series is: 
<h3>How to write the series in sigma notation?</h3>
The series is given as:
7 + 16 + 25 +34 +43 +52 + 61
The above series is an arithmetic series, with the following parameters
- First term, a = 7
- Common difference, d = 9
- Number of terms, n = 7
Start by calculating the nth term using:
a(n) = a + (n - 1) * d
This gives
a(n) = 7 + (n - 1) * 9
Evaluate the product
a(n) = 7 - 9 + 9n
Evaluate the difference
a(n) = 9n - 2
So, the sigma notation is:

Read more about arithmetic series at:
brainly.com/question/6561461