Answer:
(6,2)
Step-by-step explanation:
Variable Definitions:
x= the number of commercials
y= the number of movies
Each commercial earns Emily $50, so x commercials would earn her 50x dollars in royalties. Each movie earns Emily $150, so y movies would earn her 150y dollars in royalties. Therefore, the total royalties 50x+150y equals $600:
50x+150y=600
Since Emily's songs were played on 3 times as many commercials as movies, if we multiply 3 by the number of movies, we will get the number of commercials, meaning x equals 3y.
x=3y
Write System of Equations:
50x+150y=600
x=3y
Solve for y in each equation:
1) 50x+150y=600
150y=−50x+600
y=-1/3x+4
2) x=3y
y=1/3x
The x variable represents the number of commercials and the yy variable represents the number of movies. Since the lines intersect at the point (6,2) we can say:
Emily's songs were played on 6 commercials and 2 movies.
Answer:
17.78 meters
Step-by-step explanation:
Let
x ----> the horizontal distance, in meters, to home plate
----> the angle of vision
we know that
----> by TOA (opposite side divided by the adjacent side)
we have

substitute

solve for x

Answer:
do pi witch is 2 times pi times r for the diameter
Step-by-step explanation:
Divide 4 by 6. Easier if you write it as a fraction: 4/6 This can be reduced to 2/3. This means that each person gets 2/3 of a pie equally.