Answer/Step-by-step explanation:
Part A:
Evidence 1: the line passes through the point of origin, (0, 0)
Evidence 2: it has a unit rate or constant of proportionality, k = y/x = 5/3
Part B:
When extended, if the ray passes through the point, (18, 30), then y/x of this point, should give us the same unit rate (k) of 5/3 of the graph.
Thus:
y/x = 30/18
Simplify
= 5/3
Thus, it has the same unit rate of the graph, therefore, the ray passes through the point (18, 30).
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
Using a graphing tool
The intersection point is (1,5)
see the attached figure
therefore
The solution of the system is the point (1,5)
When you simplify a fraction, remember to perform the same operation on both the numerator and the denominator, and that there may not be a decimal or a fraction as a numerator or denominator.
You could always start by dividing with the largest common factor that you can recall off the top of your head. I'll use 10 as an example.
650/10 = 65. 1000/10 = 100.
You have now simplified the fraction down to 65/100. But wait! You can simplify this fraction down further. I'll use 5 now. 65/5 = 13. 100/5 = 20. You have simplified it down to 13/20. Because you know that 13 is a prime number, you know you have written the fraction in simplest form.
Hope that helped you!
(Hint: Use divisibility rules to help you divide faster.)
Answer:
Sam will finish 42 pages in 126 minutes.
Step-by-step explanation:
Number of pages read by Sam = 6
Time taken to read these pages = 18 minutes
Rate at which Sam is reading the pages of the book = 
= 
= 
pages per minute
Number of pages read in 126 minutes = Rate of reading × Time
= 
= 42 pages
Therefore, Sam will finish 42 pages in 126 minutes.
