A rancher wants to enclose a rectangular field with 220 ft of fencing.
One side is a river and will not require a fence.
What is the maximum area that can be enclosed?
:
The field requires only 3 sides of fence, therefore
L + 2W = 220
L = (220-2W); we can use this for substitution in the Area equation
:
Area
A = L*W
replace L with (220-2W)
A = W(220-2W)
A = -2W^2 + 220W
A quadratic equation, max A occurs at the axis of symmetry, x = -b/(2a)
In this equation
W = %28-220%29%2F%282%2A-2%29
W = 55 ft is the width for max area
:
Find the max area
A = -2(55^2) + 220(55)
A = -2(3025) + 12100
A = 6050 sq/ft is the max area
:
:
Confirm this with the dimensions calculated; 110 * 55 = 6050
You already have the equation given which is <span>y=0.5x+40. To graph, you just have to replace random values of x to determine the corresponding values of y. Plot these points and connect them. The graph is shown in the attached picture. As you can observe, the range starts from y=40. This is because the y-intercept is 40. So, you don't have to show the y-values below because it would just minimize your linear graph.</span>
Answer:
GIVEN :
Which division expression is equivalent to 4 and one-third divided by Negative Start Fraction 5 over 6 End Fraction?
A) Start Fraction 13 over 3 End Fraction divided by (Negative Start Fraction 5 over 6 End Fraction)
B) Negative Start Fraction 5 over 6 End Fraction divided by Start Fraction 13 over 3 End Fraction
C) Start Fraction 13 over 3 End Fraction divided by Start Fraction 5 over 6 End Fraction
D) Negative Start Fraction 13 over 3 End Fraction divided by (Negative Start Fraction 5 over 6 End Fraction)
TO FIND :
The division expression is equivalent to 4 and one-third divided by Negative Start Fraction 5 over 6 End Fraction
SOLUTION :
Given expression is 4 and one-third divided by Negative Start Fraction 5 over 6 End Fraction.
It can be written as
Now solving the above expression as below :
By converting the mixed fraction into proper fraction,
By using the quotient rule of exponents :
∴ the given expression is equivalent to
⇒ option A) Start Fraction 13 over 3 End Fraction divided by (Negative Start Fraction 5 over 6 End Fraction) is correct.
Step-by-step explanation:
the scale is x4
because 10x4=40
11x4=44
18x4=72
you multiply by 4 on all of them
