Answer:
Her error was multiplying numerator by numerator ( that is Quantity of Bone-shaped treats)
Step-by-step explanation:
Sarah's calculation
Let
x = cost of 12 Bone-shaped treats
Quantity of Bone-shaped treats : price
5 : 3.5 = 12 : x
(5/3.5) = (12/x)
Cross product
3.5x=60 (Here is her error)
x=17.14
Correct calculation
Quantity of Bone-shaped treats : price
5 : 3.5 = 12 : x
5 / 3.5 = 12 / x
Cross product
5 * x = 3.5 * 12
5x = 42
x = 42 / 5
= 8.4
x = $8.4
Her error was multiplying numerator by numerator ( that is Quantity of Bone-shaped treats)
Instead of multiplying Quantity of Bone-shaped treats by cost
The area that the dog can wander based on the information provided will be 931π.
<h3>How to calculate the area?</h3>
From the information, we are told that the dog dog is attached to a 35-foot rope fastened to the outside corner of a fenced-in garden that measures 28 feet by 36 feet.
In this case, the dog is in an outside corner. The dog can trace 3/4 of a circle when it starts walking in a circle away form the wall.
The area that the dog can wander will be:
= 3/4(π35²) + 1/4(π(35 - 28)²)
= 3/4π(35)² + 1/4π(7)²
= (3/4 × 1225)π + (1/4 × 49)π
= 918.75π + 12.25π
= 931π
Therefore, the area that the dog can wander based on the information provided will be 931π.
Learn more about area on:
brainly.com/question/25292087
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Answer:
2/6 or 33.3%
1/6 or 16.65%
3/6 or 50%
0/6 0r 0%
Step-by-step explanation:
Answer:
The room dimensions for a minimum cost are: sides of 10 feet and height of 8.75 feet.
Step-by-step explanation:
We have a rectangular room with sides x and height y.
The volume of the room is 875 cubic feet, and can be expressed as:
With this equation we can define y in function of x as:
The cost of wall paint is $0.08 per square foot. We have 4 walls which have an area Aw:
The cost of ceiling paint is $0.14 per square foot. We have only one ceiling with an area:
We can express the total cost of painting as:
To calculate the minimum cost, we derive this function C and equal to zero:
![\dfrac{dC}{dx}=280(-1)\dfrac{1}{x^2}+0.14(2x)=0\\\\\\-\dfrac{280}{x^2}+0.28x=0\\\\\\0.28x=\dfrac{280}{x^2}\\\\\\x^3=\dfrac{280}{0.28}=1000\\\\\\x=\sqrt[3]{1000} =10](https://tex.z-dn.net/?f=%5Cdfrac%7BdC%7D%7Bdx%7D%3D280%28-1%29%5Cdfrac%7B1%7D%7Bx%5E2%7D%2B0.14%282x%29%3D0%5C%5C%5C%5C%5C%5C-%5Cdfrac%7B280%7D%7Bx%5E2%7D%2B0.28x%3D0%5C%5C%5C%5C%5C%5C0.28x%3D%5Cdfrac%7B280%7D%7Bx%5E2%7D%5C%5C%5C%5C%5C%5Cx%5E3%3D%5Cdfrac%7B280%7D%7B0.28%7D%3D1000%5C%5C%5C%5C%5C%5Cx%3D%5Csqrt%5B3%5D%7B1000%7D%20%3D10)
The sides of the room have to be x=10 feet.
The height can be calculated as:
The room will have sides of 10 feet and a height of 8.75 feet.
There are 60 minutes in one hour, so you would divide 12 by 60
they make 0.2 omelettes a minute
