Answer:
x = 9.5
Step-by-step explanation:
Answer:
The responsess to the given question can be defined as follows:
Step-by-step explanation:


As per the given info we draw the tree diagram which is defined in the attachment file.


Answer: A) 3(10 - 5y) + 6y =12
Step-by-step explanation:
As per the question , the given system of linear equation :

Here , To solve the system of equations using substitution , Johanna isolates x in the second equation and writes

As per the substitution method , the next step is to substitute the isolated value of 'x' in first equation , thus the next step will become

Hence, the correct option is A) 3(10 - 5y) + 6y =12
Answer:
C. 16√3π in.
Step-by-step explanation:
Circumference of a circle = 2πr where
r is the radius of the circle.
Given the area of one of the smaller circle to be 48π in², we can get the radius of one of the smaller circle.
If A = πr²
48π = πr²
r² = 48
r = √48 in
The radius of one of the smaller circle is √48.
To get the circumference of the larger circle, we need the radius of the larger circle. The radius R of the larger circle will be equivalent to the diameter (2r) of one of the smaller circle.
R = 2r
R = 2√48 inches
Since C = 2πR
C = 2π(2√48)
C = 4√48π in
C = 4(√16×3)π in
C = 4(4√3)π in
C = 16√3π in
Thw circumference of the larger circle is 16√3π in.
Answer: 640
Step-by-step explanation:
The scale factor is 20/5=4, so the ratio of the areas is the square of this, or 16.
Thus, the area of ABCD is 40(16)=640.