Determine the value of x in the diagram below
2 answers:
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Answer:
Step-by-step explanation:
Given
Represent the combination of f(n) and g(n) with A(n)
So, we have:
This gives:
To calculate the 11th term, we make use of n = 11
This gives:
Approximate to 2 dp
Let 
be the number of strawberry cupcakes, and 
the number of chocolate cupcakes.
From our problem we know that the total number of cupcakes is 180, so
. We also know that the number of chocolate cupcakes is eighteen more than twice the number of strawberry cupcakes, so 
, or solving for : 
.
Know we have our system of equations:
We can conclude that the correct answer is <span>B. c + s = 180 c = 2s + 18.
Lets solve our equations to find how many cupcakes of each they have:
from our second equation we know that </span>; lets replace that value in our first equation to find the number of strawberry cupcakes:
<span>Now that we know the number of strawberry cupcakes, lets replace that value in our second equation to find the number of chocolate cupcakes:
</span>
As a bonus, we can conclude that the <span>math club have 126 chocolate cupcakes and 54 strawberry cupcakes. </span>
From our problem we know that the total number of cupcakes is 180, so
Know we have our system of equations:
We can conclude that the correct answer is <span>B. c + s = 180 c = 2s + 18.
Lets solve our equations to find how many cupcakes of each they have:
from our second equation we know that </span>
<span>Now that we know the number of strawberry cupcakes, lets replace that value in our second equation to find the number of chocolate cupcakes:
</span>
As a bonus, we can conclude that the <span>math club have 126 chocolate cupcakes and 54 strawberry cupcakes. </span>