Answer:
3
Step-by-step explanation:
Using the rule of exponents
÷ 
= 
, then
÷ 
= 
= 12³
Answer:
x (x^2+4)
Step-by-step explanation:
See the steps below:)
Answer:
Length = 5p + 3
Perimeter = 26p + 6
Step-by-step explanation:
Given
Area = 40p² + 24p
Width = 8p
Solving for the length of deck
Given that the deck is rectangular in shape.
The area will be calculated as thus;
Area = Length * Width
Substitute 40p² + 24p and 8p for Area and Width respectively
The formula becomes
40p² + 24p = Length * 8p
Factorize both sides
p(40p + 24) = Length * 8 * p
Divide both sides by P
40p + 24 = Length * 8
Factorize both sides, again
8(5p + 3) = Length * 8
Multiply both sides by ⅛
⅛ * 8(5p + 3) = Length * 8 * ⅛
5p + 3 = Length
Length = 5p + 3
Solving for the perimeter of the deck
The perimeter of the deck is calculated as thus
Perimeter = 2(Length + Width)
Substitute 5p + 3 and 8p for Length and Width, respectively.
Perimeter = 2(5p + 3 + 8p)
Perimeter = 2(5p + 8p + 3)
Perimeter = 2(13p + 3)
Open bracket
Perimeter = 2 * 13p + 2 * 3
Perimeter = 26p + 6
Answer:
3.69 hours
Step-by-step explanation:
y = 80.25x + 78.75
y = 95.75 + 40
85.25x + 78.75 = 95.75 + 40
-85.25x -40 -85.25x -40
38.75/10.5 = 10.5x/10.5
3.690476190..... = x
rounding
3.69 = x
