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Nina [5.8K]
3 years ago
12

A soup that serves 16 people calls for 2 cans of chicken, 4 cups of chicken broth, 6 cups of milk, and 4 cups of potatoes. How m

uch of each ingredient would you need to make an identical recipe that serves 8 people? 32 people? 24 people?
Mathematics
1 answer:
laiz [17]3 years ago
5 0
The answer is 8 poeple
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liberstina [14]

Answer:

Step-by-step explanation:

abc = 1

We have to prove that,

\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1

We take left hand side of the given equation and solve it,

\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}

Since, abc = 1,

\frac{1}{c}=ab and c = \frac{1}{ab}

By substituting these values in the expression,

\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+\frac{1}{c}}+\frac{1}{1+c+\frac{1}{a}}=\frac{1}{1+a+\frac{1}{b}}+\frac{1}{1+b+ab}+\frac{1}{1+\frac{1}{ab}+\frac{1}{a}}

                                       =\frac{b}{b+ab+1}+\frac{1}{1+b+ab}+\frac{ab}{ab+1+b}

                                       =\frac{1+b+ab}{1+b+ab}

                                       =1

Which equal to the right hand side of the equation.

Hence, \frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1

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Answer: (1.) 1/3

(2.)2/3

(3.) 2:1

(4.) 1/2

Step-by-step explanation:

(1.) 12 mult. problems and 12+24=36 total so 12/36 =1/3

(2.) 24 div. problems and 36 totals so 24/36 =2/3

(3.) 24 div and 12 mult =24/12 or 2/1

(4.) 12 mult and 24div =12/24=1/2

6 0
3 years ago
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Answer:

25 units

Step-by-step explanation:

Applying Pythagoras' Theorem,

(BD)^2= (CD)^2 + (BC)^2

(BC)^2= 65^2 - 60^2

(BC)^2= 625

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Answer:

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Step-by-step explanation:

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