How are the factors of 36 related to the factors of 72
1 answer:
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Answer:
The company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.
Step-by-step explanation:
Let x be the number of ounces of chicken
let y be the number of ounces of grains
We are given that Chicken has 10 grams of protein and 5 grams of fat per ounce.
Chicken has protein in 1 ounce = 10
Chicken has protein in x ounces = 10x
Chicken has fat in 1 ounce = 5
Chicken has fat in x ounces = 5x
We are also given that grain has 2 grams of protein and 2 grams of fat per ounce
Grain has protein in 1 ounce = 2
Grain has protein in y ounces = 2y
Grain has fat in 1 ounce = 2
Grain has fat in y ounces =2y
Now we are given that . A bag of dog food must contain at least 200 grams of protein and at least 150 grams of fat.
So, equation becomes:
---A
---B
Since x and y represent the ounces .
So, ---C and
----D
Plot A ,B ,C and D on the graph
Refer the attached graph so , the corner points are (0,100),(10,50) and (30,0)
We are also given that chicken costs 10 cents per ounce and grain costs 1 cent per ounce
So, Cost function becomes :
At(0,100)
At(10,50)
At(30,0)
Minimum cost is 100 cents at (0,100)
So, the company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.
Answer:
Tyler should buy 2 goldfishes for his fish tank,
Step-by-step explanation:
First let's find the volume of the sphere, using the following equation:
The radius is half the diameter, so the radius is 14/2 = 7 inches
Now, finding the volume, we have:
Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):
Tyler should buy 2 goldfishes for his fish tank,