Answer:
See explanation
Step-by-step explanation:
Each ounce of fruit will supply
- 1 unit of protein,
- 2 units of carbohydrates,
- 1 unit of fat.
Each ounce of nuts will supply
- 1 unit of protein,
- 1 unit of carbohydrates,
- 1 unit of fat.
Let x equal the ounces of fruit and y equal the ounces of nuts to be used in each package.
Then x ounces of fruit will supply
- x units of protein,
- 2x units of carbohydrates,
- x units of fat
and y ounces of nuts will supply
- y units of protein,
- y units of carbohydrates,
- y units of fat.
Every package must provide
- at least 7 units of protein, then x+y≥7,
- at least 11 units of carbohydrates, then 2x+y≥11,
- and no more than 10 units of fat, then x+y≤10.
A. You get the system of three inequalities
B. See attached diagram
Answer:
8a. x = 16√3
8b. y = 8√3
Step-by-step explanation:
8a. Determination of the value of x
Adjacent = 24
Hypothenus = x
Angle θ = 30°
The value of x can be obtained by using cosine ratio as illustrated below:
Cos θ = Adjacent /Hypothenus
Cos 30 = 24 / x
√3/2 = 24/x
Cross multiply
x × √3 = 2× 24
x × √3 = 48
Divide both side by √3
x = 48/√3
Rationalise
x = 48/√3 × √3/√3
x = 48√3 / √3 × √3
x = 48√3 / 3
x = 16√3
8b. Determination of the value of y
Opposite = y
Adjacent = 24
Angle θ = 30°
The value of y can be obtained by using Tan ratio as illustrated below:
Tan θ = Opposite / Adjacent
Tan 30 = y / 24
1 / √3 = y /24
Cross multiply
y × √3 = 1 × 24
y × √3 = 24
Divide both side by √3
y = 24 /√3
Rationalise
y = 24 /√3 × √3/√3
y = 24 ×√3 / √3 × √3
y = 24√3 / 3
y = 8√3
Answer:
Each of the four principles (beneficence, nonmaleficence,justice and autonomy) is investigated in turn.
Step-by-step explanation:
Answer:
no answer. Because 8-4 is not equal to 12
Step-by-step explanation:
