<h2>
The product of the rational expressions
.</h2>
Step-by-step explanation:
We have,

To find, the product of the rational expressions
= ?
∴ 
= 
= 
= 
= 
Thus, the product of the rational expressions
.
Given:
Number of students = 35
Two out of every five boys in the club are boys.
To find:
The number of students in the club that are boys.
Solution:
Two out of every five boys in the club are boys. It means, the ratio of boys to the total number of student is 2:5.
Let the number of boys be 2x and number of students be 5x.
According to the question,


Now, the number of boys is


Therefore, 14 students in the club are boys.
Answer:

Step-by-step explanation:
In
of an hour, Frodo ran
miles
= 
So,
Multiplying both sides by
, we get,
In
hour, Frodo ran 
=
miles
The bisector BD is perpendicular to the line segment AC then the angle formed in between is 90°. We can solve for DC using SOH CAH TOA theorem or Pythagorean theorem.
Since ∠BDA is 90°, we can examine that AD is equal to 2units. Proving this, we have BD^2=BD^2+AD^2.
3^2=DB^2+2^2
DB=5units
Therefore, DC=AC-AD and the answer is 2 units.
Answer:
480 ft
Step-by-step explanation:
1 ft = 12 in, so 3in : 6ft would be 3in : 72in, which can be simplified to 1in : 24in. then you use the scale to find the lengths. 8in: (24·8)in. 24 · 8 = 192. to convert to feet, do 192/12=16ft. for the width, do the same thing. 15in: (24·15)in. 24·15=360. 360/12=30ft. For area, multiply the length and width. 16·30=480ft.