Answer:
10 feet
Step-by-step explanation:
The formula for the Perimeter fo a rectangle
= P = 2L + 2W
Where:
L = Length
W = Width
From the question
P = 80 feet
W = 30 feet
Hence:
80 = 2L + 2(30)
80 - 2(30) = 2L
80 - 60 = 2L
20 = 2L
L = 20/2
L = 10 feet
Hence, the length of the fenced area = 10 feet
Answer:
y = 8x
Step-by-step explanation:
When the number of people increased by 10, the caterer charged an additional $80. Therefore, we estimate that the cost per person is $8. In order to verify:
$8/person * 15 people = $120. True. $8/person * 25 people = $200. True.
Therefore, if we let x represent the number of people being cater for and y represent the cost, the equation to model the situation is simply y = 8x.
hope it helps!
Answer: 
Step-by-step explanation:
Gaming a video-game designer is using the expression 6n3 in a program to determine points earned, where n is the game level.
Given expression is 
. the given expression is for the nth level.
To simplify the expression for the 
level, we plug in in the place of 'n' in the given expression
(multiply the exponents)
Answer:
S = 128πx² + 64πx + 8π
Step-by-step explanation:
Suraface area of a cylinder is given by:
S = 2πrh + 2πr²
We know that the height is 3 times as big as the radius, hence:
h = 3r
so we can plug in the new h value and rewrite the S equation as:
S = 2πrh + 2πr²
S = 2πr(3r) + 2πr²
S = 6πr² + 2πr²
S = 8πr²
We're given in the question that the radius is (4x + 1) inches, so plug that into r.
Given: r = 4x + 1
Therefore,
S = 8πr²
S = 8π(4x + 1)²
S = 8π(16x²+8x+1)
S = 128πx² + 64πx + 8π
