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zaharov [31]
3 years ago
14

It takes 1 4 cups of mayonnaise to make 3 4 cups of tuna fish salad. If Cory has a recipe for 1 cup of tuna fish salad, how much

mayonnaise will he need to make 9 times the recipe? A) 3 cups of mayonnaise B) 5 cups of mayonnaise C) 6 cups of mayonnaise D) 9 cups of mayonnaise
Mathematics
2 answers:
lesya [120]3 years ago
8 0

Answer:

The answer will be A)

Step-by-step explanation:

GenaCL600 [577]3 years ago
5 0

Answer: OPTION A.

Step-by-step explanation:

Let be "x" the amount of cups of mayonnaise that he will need to make 1 cup of tuna fish salad and "y" the amount of cups of mayonnaise that he will need to make 9 times the recipe.

Knowing that it takes \frac{1}{4}\ cups of mayonnaise to make \frac{3}{4}\ cups of tuna fish salad, we can set up the following proportion:

\frac{\frac{1}{4}}{\frac{3}{4}}=\frac{x}{1}

Solving for "x", you get:

\frac{\frac{1}{4}}{\frac{3}{4}}=\frac{x}{1}\\\\\frac{1}{3}=\frac{x}{1}\\\\x=\frac{1}{3}

So "y" will be:

y=9x

Substituting the value of "x" into the equation, we get:

y=9(\frac{1}{3})\\\\y=3

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Answer:

a_{n+1}=0.2a_n for all n>0, a_1=16

Step-by-step explanation:

Let \{a_n\}=\{16,3.2,0.64,0.128,\cdots \} be the sequence described.

A geometric sequence has the following property: there exists some r (the ratio of the sequence) such that \frac{a_{n+1}}{a_n}=r forr all n>0.

To find r, note that

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