Answer:
360 combinations
Step-by-step explanation:
To calculate the number of different combinations of 2 different flavors, 1 topping, and 1 cone, we are going to use the rule of multiplication as:
<u> 6 </u>* <u> 5 </u> * <u> 4 </u>* <u> 3 </u>= 360
1st flavor 2nd flavor topping cone
Because first, we have 6 possible options for the flavor, then we only have 5 possible options for the 2nd flavor. Then, we have 4 options for the topping and finally, we have 3 options for the cone.
It means that there are 360 different combinations of two different flavors, one topping, and one cone are possible
The answer would be
x = 160/147
or
x = 1 and 13/147
Answer:
The ratio of George age to Carl's age is 1:12.
Step-by-step explanation:
Let the age of George be 'g'.
Let the age of Alex be 'a'.
Also Let the age of Carl be 'c'.
Given:
The sum of their ages is 68.
So equation can be framed as;
Also Given:
Alex is 12 years older than George.
So equation can be framed as;
Now Given:
Carl is three times older than Alex.
But 
So we get;
Now Substituting equation 2 and equation 3 in equation 1 we get;
Subtracting both side by 48 using subtraction property of equality we get;
Now Dividing both side by 5 using Division property of equality we get;
Hence George age 
Now Alex age 
Also Carl's age 
Now we need to find the ratio of George age to Carl's age.
Hence the ratio of George age to Carl's age is 1:12.
Answer:
The answer to your question is a) (f°g)(x) = 4x² + 2
b) (f + g)(x) = 4x² + x + 2
c) (f - g)(-3) = -37
Step-by-step explanation:
Data
f(x) = x + 2
g(x) = 4x²
a) Calculate (f°g)(x)
Just sum the function
(f°g)(x) = (4x²) + 2
-Simplification
(f°g)(x) = 4x² + 2
b) (f + g)(x)
(f + g)(x) = x + 2 + 4x²
-Simplification
(f + g)(x) = 4x² + x + 2
c) (f - g)(-3)
-Calculate (f - g)(x)
(f - g)(x) = x + 2 - 4x²
-Simplify
(f - g)(x) = -4x² + x + 2
-Evaluate in (-3)
(f - g)(-3) = -(4)(-3)² + (-3) + 2
-Simplification
(f - g)(-3) = -4(9) - 3 + 2
-Result
(f - g)(-3) = -36 - 3 + 2
(f - g)(-3) = -37
Answer: Total number of those who took part in the survey (T)=2000
Those who were satisfied (t)=1320
Percentage of those who were satisfied (S)=(t/T)*100
S=(1320/2000)*100
S=66%
Therefore only 66% were satisfied
Step-by-step explanation:
