Answer:
4x + 6
Step-by-step explanation:
Given
+ 
Before we can add the fractions we require them to have a common denominator.
Factor the denominator of the first fraction
+ 
Multiply the numerator / denominator of the second fraction by (x + 2)
=
+
← fractions now have a common denominator
Add the numerators leaving the denominators
= 
= 
=
← simplified sum with numerator 4x + 6
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:
To convert 1 meter into yards
Using the given facts : 100 centimeters in a meter, 2.54 centimeters in an inch, 12 inches in a foot, and 3 feet in a yard.
we can write these as;


and

1 ft = 12 inches
3 ft = 
Since,
1 inches = 2.54 cm
36 inches = 91.44 cm
Also,
1 m = 100 cm
or
1 cm = 
then;
91.44 cm = 
⇒ 1 yards = 0.9144 m
Divide both sides by 0.9144 we get;
1 meter =
yards.
Therefore, the answer is, 1 m = 1.1 yards (nearest to tenth)