Answer:
19 points
Step-by-step explanation:
Given that :
Fabio had 7 points less than 2 times as many points as Carlos
Let Fabio's point = f
Carlos point = c
Equation relating the number of points scored by both players.
Points scored by Fabio = 31
f = 2c - 7
Carlos point = c
31 = 2c - 7
31 + 7 = 2c
38 = 2c
c = 38/2
c = 19
Hence, Carlos's points is 19
Answer:
17.4
Step-by-step explanation:
add it
Answer:
80 members
Step-by-step explanation:
Let the band members be= b and the chorale members= c
Then, according to question, b=c+30 and 
⇒
⇒
⇒
⇒
Now, substituting the value of b=c+30, we get
⇒
⇒
⇒
⇒
Therefore, 

Therefore, there are 80 members in the band.
Answer:

Step-by-step explanation:
The typical equation for the area of a circle is
. Since the answer choices are in terms of <em>d</em>, the diameter of the circle, you will need to find <em>r</em> in terms of <em>d</em>.
To find <em>r</em> in terms of <em>d</em>, you know that the diameter of a circle is two times its radius. As an equation, this is
, or solving for <em>r</em>,
.
Now that you have an equation for <em>r</em> in terms of <em>d, </em>you can substitute <em>r</em> with
from the original equation.



The answer is (x-2)^2(x-1)^2-4x+2