Answer: There are 6 sections of 
of rope Mario can cut from the rope .
Step-by-step explanation:
Since we have given that
Length of the rope for the tent = 7 feet
As we know that
Length of rope is used to tie a tarp on top of the tent = 34.5 inches
Remaining length of rope is given by
According to question, the remaining rope should be cut into
So, Number of sections of rope Mario can cut from the rope is given by
Hence, there are 6 sections of rope Mario can cut from the rope .
Hey there! First, set up the equation y = mx + b<span>. Next, we're going to subtract b from both sides, leaving us with </span>y - b = mx. After that, divide the equation by x to isolate the variable "m". The answer is y-b / x = m. I hope this helps!
2.8 feet because 14 divided by 5 equals 2.8
Answer:
(11.76, 12.84)
Step-by-step explanation:
Given that we can assume that the distribution of individual student enrollment units at this college is approximately normal.
Sample mean =12.3
sample std dev s = 1.9 units
Sample size = 47
Std error = 
Z critical value for 95% = 1.96
Margin of error = 
Confidence interval =
=(11.76, 12.84)
Let x = the length of the rectangle
Let w= the width
Two sections are required, hence 2w of fence required
2x+3w=500
this can be written as:
3w=1500-2x
w=(1500-2x)/3
Area=x*w
replacing w with our expression:
A=x(1500-2x)/3
A=(500x-2x^2)/3
This is a quadratic equation, if we find the axis of symmetry we will know what value of x gives maximum area:
Axis of symmetry: x=-b/2a
From our equation we get:
a=-2/3; b=1500/3
thus
x=(1500/3)/(-(-2/3))
x=750
thus the maximum area will be given by length of 750
