Evaluate the expression 5m – 6 for m = 7. 29 41 5 51
2 answers:
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Answer:
The dimensions are x =20 and y=20 of the garden that will maximize its area is 400
Step-by-step explanation:
Step 1:-
let 'x' be the length and the 'y' be the width of the rectangle
given Jenna's buys 80ft of fencing of rectangle so the perimeter of the rectangle is 2(x +y) = 80
x + y =40
y = 40 -x
now the area of the rectangle A = length X width
A = x y
substitute 'y' value in above A = x (40 - x)
A = 40 x - x^2 .....(1)
<u>Step :2</u>
now differentiating equation (1) with respective to 'x'
........(2)
<u>Find the dimensions</u>
<u></u><u></u>
40 - 2x =0
40 = 2x
x = 20
and y = 40 - x = 40 -20 =20
The dimensions are x =20 and y=20
length = 20 and breadth = 20
<u>Step 3</u>:-
we have to find maximum area
Again differentiating equation (2) with respective to 'x' we get
Now the maximum area A = x y at x =20 and y=20
A = 20 X 20 = 400
<u>Conclusion</u>:-
The dimensions are x =20 and y=20 of the garden that will maximize its area is 400
<u>verification</u>:-
The perimeter = 2(x +y) =80
2(20 +20) =80
2(40) =80
80 =80
Answer:
Amount of flour in the bag when Mary began =
Step-by-step explanation:
Given:
Number of baked loaves of bread made from flour = 4
Number of muffins made from flour = 48
To find: Amount of flour in the bag when Mary began
Solution:
Let x denotes amount of flour used to make one baked loave of bread and y denotes amount of flour used to make one muffin.
So,
Amount of flour used to make 4 baked loaves of bread = 4 x
Amount of flour used to make 48 muffins = 48 y
Amount of flour in the bag when Mary began =