Answer:
Total amount of fencing needed as an algebraic expression in terms of x is: <em>10x</em><em> </em><em>+</em><em> </em><em>3</em> .
Step-by-step explanation:
As it is given that each rectangle has the same dimensions, the dimensions of each rectangle must be: x units by 2x + 1 units.
Based on this, we can calculate the total amount of fencing needed.
Let width of each rectangle = x
Let length of each rectangle = 2x + 1
There are 4 widths and 3 lengths in total of fencing.
Therefore:
= 4 ( x ) + 3 ( 2x + 1 )
Expand:
= 4x + 6x + 3
Group like-terms:
= 10x + 3
Answer:
The distance between two points ( -1,1) and (2,-4) is:
or d = 5.8 units.
Step-by-step explanation:
Given the points
Finding the distance between (-1, 1) and (2, -4) using the formula
substitute (x₁, y₁) = (-1, 1) and (x₂, y₂) = (2, -4)
units
or
units
Therefore, the distance between two points ( -1,1) and (2,-4) is:
or d = 5.8 units.
6.50 * 22.5 = 146.25 dollars
Answer:
Step-by-step explanation:
GIven that ,
Dividend is greater than Divisor by 642.
Therfore , let,
Dividend = x + 642.
Divisor = x
Quotient = 8
Remainder = 19.
We know that, Dividend = Divisor × Quotient + Remainder.
Therefore, x+642 + X.8 + 19.
X + 642 = 8X + 19.
642 - 19 = 8X - X
7X = 623
X = 623/7
X = 89.
Therefore, Divisor = 89
Dividend = X+642=731.
Answer:
1/3 <x
Step-by-step explanation:
2x + 4 < 5x + 3
Subtract 2x from each side
2x-2x + 4 < 5x-2x + 3
4 < 3x+3
Subtract 3 from each side
4-3 <3x-3+3
1 <3x
Divide each side by 3
1/3 <3x/3
1/3 <x
