Answer:
31st term = 84
Step-by-step explanation:
Given:
204, 200,196,...
Find:
31st term
Computation:
204, 200,196,...
First term a = 204
Difference d = a3 - a2
Difference d = 196 - 200
Difference d = -4
An = a + (n-1)d
A31 = 204 + (31-1)(-4)
A31 = 204 - 120
A31 = 84
Your answer is D you’re welcome!
To write the function correctly, it is important to assign variables correctly and understand the situation of the problem clearly. For this, we let y the number of people and x as the number of songs played.
At x = 0 y = 567
at x = 1 y = 567 - 567(1/3)
at x = 2 y = 567 - 567(1/3)(1/3)
at x = 3 y = 567 - 567(1/3)(1/3)(1/3)
Therefore, the number of people left after x songs would be represented by the equation:
y = 567 - 567(1/3)x
y = 567 ( 1- x/3 )
Length: 2(x + 6); Width: 3.5x
A rectangle has 4 sides. 2 sides are lengths and 2 sides are widths.
The perimeter is the sum of the measures of all 4 sides.
perimeter = length + length + width + width
perimeter = 2(x + 6) + 2(x + 6) + 3.5x + 3.5x
Use the distributive property on 2(x + 6).
perimeter = 2x + 12 + 2x + 12 + 3.5x + 3.5x
Now let's group all terms with x first, then all the numbers.
perimeter = 2x + 2x + 3.5x + 3.5x + 12 + 12
Now we add like terms. Like terms have exactly the same variables and the same exponents. All terms with x are like terms and can be added together. All terms with no variable are like terms and can be added together.
perimeter = 11x + 24
11x and 24 are not like terms since 11x contains the variable x and 24 has no variable. Since 11x and 24 are not like terms, they cannot be added together. No more simplification can be done, and 11x + 24 is the answer.
Answer: 11x + 24
