Answer:
Area of rectangle = 
Length of rectangle = 14 m
Width of rectangle = 14 m
Step-by-step explanation:
Given:
Perimeter of rectangle is 56 m
To find: the maximized area of a rectangle and the length and width
Solution:
A function 
has a point of maxima at 
if 
Let x, y denotes length and width of the rectangle.
Perimeter of rectangle = 2( length + width )
Also, perimeter of rectangle is equal to 56 m.
So,
Let A denotes area of rectangle.
A = length × width
Differentiate with respect to x
Put 
Also,
At x = 14,
So, x = 14 is a point of maxima
So,
Area of rectangle:
Length of rectangle = 14 m
Width of rectangle = 14 m
Answer:
<em>(a) The system that models the situation: 
and 
</em>
<em>(b) David needs 40 pounds of bread flour and 240 pounds of cake flour.</em>
Step-by-step explanation:
The amount of flour mixture is 280 lb. that is 8% plain flour.
So, the amount of plain flour in the mixture will be: 
lb.
The number of pounds of bread flour and cake flour needed to make the new mixture are 
and 
respectively.
<u>So, the first equation will be</u>: 
The bread flour has 14% plain flour and the cake flour has 7% plain flour.
Thus, the amount of plain flour in bread flour 
lb. and the amount of plain flour in cake flour 
lb.
<u>So, the second equation will be</u>: 
From equation (1), we will get: 
Now substituting this into equation (2) in place of ........
Plugging this 
into equation (1), we will get.....
So, David needs 40 pounds of bread flour and 240 pounds of cake flour.
Let the third angle = x
It would be: 35 + 45 + x = 180
80 + x = 180
x = 180 - 80
x = 100
So, your final answer is 100
Hope this helps!
Answer: f(x) = 3.50x + 25
It would cost $53 to go on 8 rides
Step-by-step explanation:
(1) 
pounds of soil (2) 
(3) 33
Solution:
(1) Number of pots = 5
Quantity of soil each pot can hold = 
pounds
Quantity of soil need to fill all the pots = 
= 
pounds
= pounds
Therefore, pounds of soil need to fill all of the pots.
(2) To find the product of 
and 
.
Let us first convert the mixed fraction into improper fraction.
This can be simplified. Divide both numerator and denominator by 6.
(3) To evaluate the expression 12x + 6 for 
.
Let us first convert the mixed fraction into improper fraction.
12x + 6 = 33
