The sum of three consecutive odd numbers is 51. What is the second number in this sequence?
2 answers:
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Answer:
, graph is there for reference.
Step-by-step explanation:
Given,
is the number of math problem Lucy solved.
is the number of pages she read.
She can do each math problem in minutes, therefore she can solve
number of questions into
minutes.
She can read each page in minutes, therefore she can read
pages in 2.5y minutes.
As per given detail,
equation 1.
And,
It is given that number of math problems Lucy solved is 3 times the number of pages she read.
equation 2.
We need to find and
intercept of each of the equation to graph them.
For put y=0
We will get
Thus the point is
Let us find by assuming
we get
Thus the point is
Join these two points.
Similarly considering the other equation
Here x-intercept would be at
We will get
Thus the point is
Let us assume on more point, say , we get
Thus the point is
Join these two points.
We will get a point of intersection at
Thus and
Answer: OPTION D.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
You know that the segment GH is on this line:
Solving for "y", you get:
So you can identify that:
The segment FE is on this line:
Solving for "y", you get:
Then you can identify that:
As you can notice, the lines have the same slope of . This means that they are parallel.