If

denotes the sum of the first

terms of a geometric series with first term

and common ratio

, then





Using summation notation, you have

In this case, you have

,

, and

. So the value of the sum is

Rounded to the nearest whole number, the answer would be 3.
Answer :Anita's age = 7 years
Basilio's age = 2.5 years
Step 1. Assign variables to Anita's and Basilio's ages.
Anita's age = A
Basilio's age = B
Step 2. Use the information given to form two equations.
Anita is 4-1/2 years older than Basilio
A = 4.5 + B
Three times Anita's age added to six times Basilio's age is 36
3A + 6B = 36
Step 3. Substitute the value of A from first equation in to the second equation and solve for B
3(4.5 + B) + 6B = 36
13.5 + 3B + 6B = 36
13.5 + 9B = 36
9B = 36 - 13.5
9B = 22.5
B = 22.5/9 = 2.5
Step 4. Find the value of A
A = 4.5 + 2.5 = 7
Answer:
Anita's age = 7 years
Basilio's age = 2.5 years
Answer: 20 pounds of peanuts and 80 pounds of cashews.
Answer:
the answer is 8.83 inches per piece, the 2 whole numbers it lies between are 8 and 9
Step-by-step explanation:
53/6= 8.83
Answer:
The dimensions are:
by 
Step-by-step explanation:
The area of the rectangle is given as

The factored form of this quadratic trinomial gives the dimensions of the rectangle.
We factor 3 first to obtain;

We split the middle term to get;

We factor within the parenthesis to get;

We factor further to get;

The dimensions are:
by 
Then the perimeter will be
