![neariah24](/avatars/40996.jpg)
neariah24
08.10.2021 •
Mathematics
Last week, Patty's Diner sold 12 milkshakes with whipped cream on top and 36 milkshakes without whipped cream. What percentage of the milkshakes had whipped cream2
Solved
Show answers
More tips
- H Health and Medicine 5 Simple Steps to Quit Smoking for Good...
- H Health and Medicine Coughing: Causes, Types, and Treatment Methods...
- H Health and Medicine How to Treat the Flu: A Comprehensive Guide...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
Answers on questions: Mathematics
- M Mathematics What is the value of r? What is the length of EB?...
- M Mathematics Please help The coordinate plane shows the high and low temperatures in Nome, Alaska over a period of 8 days. The axis labeled T represents temperatures in degrees Fahrenheit....
- M Mathematics Can you tell me the answer? P p pp p p p p p p p p p p p p...
- E English Which sentence is written in the active voice? a) my new car was washed by sam. b) the sweet apple pie was prepared by the chef. c) my grandmother makes the best fried...
- M Mathematics Evaluate Y=64.2-x when x=81.5...
- C Chemistry Eseasdasdsadasdadasdar...
Ответ:
The short side is _15___ft and the long side is ___30___ ft.
Step-by-step explanation:
As fence is built in a rectangular area, so we can consider
Let
x be the length of the rectangle
y be width of the rectangle
Given area of rectangle is = 450 ft²
Formula for area of rectangle = Length x width
450 ft² = xy
Solve for y
y = 450/x
now according to given condition
three sides of the fence costs $5 per foot and for the fourth side costs$15 per foot.
We have two condition either the fourth side be x or y
So condition 1: Three sides =(x,y,x) 4-th side = y.
So we can write as 5x,5y,5x and 15 y
Cost C = 5x +5y+5x+15y
= 10x+ 5y+15y
= 5(2x+y) +15yequation 1
= 10x +20y
Adding value of y 450/x
= 10x + 20(450/x)
= 10x + 9000/x
For minimum cost, we can consider the cost to be 0
0 = 10x + 9000/x
Dividing and multiplying by -x/x
0 = -10 +9000/x²
10 = 9000/x²
10x² = 9000/
x²= 900
x = 30
so y = 450/x = 450/30= 15 ft
so adding the values of x and y in equation 1 we will have
cost C= 5(2x+y) +15yequation 1
cost is = 5(2(30)+15) +15(15)
= $600 is the cost
X= 30 y =15
So condition 2: Three sides =(y,x,y) 4-th side = x.
So we can write as 5y,5x,5y and 15 x
Cost C = 5y +5x+5y+15x
= 5x+ 10y+15x
= 5(x+2y) +15xequation 2
= 20x +10y
Adding value of y= 450/x
= 20x + 10(450/x)
= 20x + 4500/x
For minimum cost, we can consider the cost to be 0
0 = 20x + 4500/x
Dividing and multiplying by -x/x
0 = -20 +4500/x²
20 = 4500/x²
20x² = 4500
x²= 4500/20= 225
x = 15
so y = 450/x = 450/15= 30 ft
so adding the values of x and y in equation 2 we will have
cost C= = 5(x+2y) +15xequation 2
cost is = 5(15+2(30) +15(15)
= $600 is the cost
y= 30 x=15
so from both conditions satisfy the cost and the two sides are known as length and width
so dimension will be 15 ft by 30 ft