Colton has 8 comedy movies, 6 action movies, 555 fantasy movies, and 1 drama movie on his list of favorite movies.
2 answers:
Answer:
The correct option is A.
Step-by-step explanation:
It is given that Colton has 8 comedy movies, 6 action movies, 5 fantasy movies, and 1 drama movie on his list of favorite movies.
Total number of favorite movies is
Therefore Colton has 20 movies in the list of favorite movies.
For every 5 movies on the list, there are 2 movies of required category.
For every 20 movies on the list, there are 8 movies of required category.
Out of 20 movies we have 8 comedy movies, therefore the required category is comedy movie.
The ratio of comedy movie and total movies is
Therefore we can say that for every 5 movies on the list, there are 2 comedy movies. Option A is correct.
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Answer:
(-1, -1)
Step-by-step explanation:
To solve a system of equations by graphing, first graph the lines. Then, find where the two lines hit each other. This is called the "point of intersection", which is the solution. Mark this point's coordinates as an ordered pair (x, y) for your answer.
The equations are in slope-intercept form y = mx + b.
"x" and "y" are points on the line.
"m" is the slope, which equals to .
"b" is the y-intercept, where a line hits the y-axis.
For y = 4x + 3 (blue):
b = 3. This first point is at "3", on the y-axis. Draw a dot there. Use the slope to get another point.
m = 4. Write it as a fraction to get the rise and run values.
From your first point, "rise" (go up) 4 squares, and "run" (go right) 1 squares. Put a dot here too.
Now, you can <u>connect the two points</u> to form a straight line. Remember to put arrows at the ends of the line.
For y = -x - 2 (red):
b = -2. This first point is at "-2", on the y-axis. Put a dot here.
Let's find the next point using the slope.
m = -1. Write it as a fraction to get the rise and run values.
From your first point, "rise" -1 squares. This means to go down 1 square because the fraction is negative. "Run" (go right, same as before) 1 square. Draw your second point here.
Now, you can <u>connect the two points</u> to form a straight line. Remember to put arrows on the line again.
Extend the lines (keep making them longer) until they hit each other. Where they meet is the solution of the system.
The solution is (-1, -1).
