Answer:
D)4x + 6/(x + 1)(x - 1)
Step-by-step explanation:
A field is basically a rectangle, so to find the perimeter of our field we are using the formula for the perimeter of a rectangle
where
is the perimeter
is the length
is the width
We know from our problem that the field has length 2/x + 1 and width 5/x^2 -1, so 
and 
.
Replacing values:
Notice that the denominator of the second fraction is a difference of squares, so we can factor it using the formula 
where 
is the first term and 
is the second term. We can infer that 
and 
. So, 
. Replacing that:
We can see that the common denominator of our fractions is 
. Now we can simplify our fraction using the common denominator:
We can conclude that the perimeter of the field is D)4x + 6/(x + 1)(x - 1).
It’s easy!
Since you’re increasing 1.6% to $1252 you write the expression as:
=1252+1.6% of 1252
=1252+(1.6/100)*1252
=1252+0.016*1252
=1252+20.032
=1272.032
That’s your final answer
I did the math and I think it should be 67.5
12 x 8 = 96
96/2 = 48
it's an area equation so 48 m^2
The pints of paint that Mike needs to buy in order to paint 4 boxes is 9 pints.
How many pints is needed?
The first step is determine the total surface area of a box.
Total surface area of a cuboid = 2 (lw + wh + lh)
where:
l = length
w = width
h = height
2 x[ (5 x 9/2) + (9/2 x 7/2) + (5 x 7/2) ]
2 x ( 45/2 + 63/4 + 35/2) = 111.5ft
The second step is to determine the total surface area of 4 boxes:
111.5 x 4 = 446
Now, divide 446 by 50
446 / 50 = 9 pints
