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klemol [59]
3 years ago
9

A recipe uses 1/4 cup of sugar for every 1/2 teaspoon of cinnamon . What is the unit rate in teaspoons per cup?

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
5 0

Answer:

Step-by-step explanation:

1/4 cup of sugar = 1/2 tea spoon. (1)

Multiplying both sides by 4, we have

1/4 * 4 cup of sugar = 1/2 * 4 tea spoon. (2)

1 cup of sugar = 2 tea spoon

( Required answer)

Vitek1552 [10]3 years ago
4 0

Answer:

Step-by-step explanation:

The "teaspoons per cup" ratio, written symbolically, is

t

--- teaspoons/cup

c

Here 1/2 teaspoon of cinnamon is associated with 1/4 cup of sugar.  Therefore we have the ratio:

  1/2 teaspoon cinnamon           1            4     teaspoon of cinnamon

--------------------------------------- =  -------- * -------- ------------------------------------

          1/4 cup sugar                     2           1         cup of sugar

This reduces to:

 2 teaspoons cinnamon

-------------------------------------

        1 cup sugar

and is the desired unit rate in teaspoons of cinnamon per cup of sugar.

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Answer:  c) 3

<u>Step-by-step explanation:</u>

Plug in y = -9 and the given x-value to see if it makes a true statement.

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y = -x

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b) -3 falls in the piecewise function -3 ≤ x ≤ -2  --> y = 2x

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