Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Part 5) 
Part 6) 
Step-by-step explanation:
Part 1) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle
The area of rectangle is equal to

where
b is the base of rectangle
h is the height of rectangle
so



Part 2) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior square
The area of square is equal to

where
b is the length side of the square
so



Part 3) we know that
The area of the shaded region is equal to the area of four rectangles plus the area of one square
so



Part 4) we know that
The shaded region is equal to the area of the complete square minus the area of the interior square
so



Part 5) we know that
The area of the shaded region is equal to the area of triangle minus the area of rectangle
The area of triangle is equal to

where
b is the base of triangle
h is the height of triangle
so



Part 6) we know that
The area of the shaded region is equal to the area of the circle minus the area of rectangle
The area of the circle is equal to

where
r is the radius of the circle
so


Answer:
The machine caps 900 bottles in 45 seconds
Step-by-step explanation:
15/300 is equal to 45/900
Jace's song were played on 8 commercials and 2 movies
<h3>Further explanation</h3>
Simultaneous Linear Equations could be solved by using several methods such as :
- <em>Elimination Method</em>
- <em>Substitution Method</em>
- <em>Graph Method</em>
If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.
Let us tackle the problem!
<em>Let:</em>
<em>Number of Commercials = C</em>
<em>Number of Movies = M</em>

<em>Jaces songs were played on 6 more commercials than movies.</em>
→ <em>Equation 1</em>

<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>
<em>His total earnings in the royalties from all commercials and movies was $680.</em>
→ <em>Equation 2</em>

<em>Equation 1 ↔ Equation 2 :</em>












<h2>Conclusion:</h2>
The number of commercials and the number of movies in which Jaces songs where played is respectively 8 and 2

<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Mathematics
Chapter: Simultaneous Linear Equations
Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations
Answer:
HCF=3
Step-by-step explanation:
Factors of 15t= 3*5*t
Factors of 6s= 2*3*s
HCF= Common factors
common factor = 3
HCF=3
X = 4 because 1 over 24 times 4 is 4 over 24 which is converted to 1 over 6