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The calorie count of a serving of food can be computed based on its composition of​ carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula Upper C equals 4 h plus 9 f plus 4 p​, where h is the number of grams of carbohydrate contained in the​ serving, f is the number of grams of fat contained in the​ serving, and p is the number of grams of protein contained in the serving. A serving of raisins contains 148 calories and 29 grams of carbohydrate. If raisins are a​ fat-free food, how much protein is provided by this serving of​ raisins?

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gennerandrescarrillo

Answer:

The raisins provide 8 grams of protein.

Explanation:

First wrote the information as a equation:

[tex]C=4h+9f+4p[/tex]

Where: C is calories, h carbohidrates, f fats and p protein

The information given for the raisin, 148 calories, 0 fat and 29 carbohidrates. That into a equation.

[tex]148=4(29)+9(0)+4p[/tex]

We clear p from the equation

14[tex]\frac{148-4(29)}{4} =p=8 gr[/tex]