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In order to ensure compliance with the law, Miguel routinely overshoots the weight of his tortillas by 0.5 gram. He just received a report that told him that he could be losing as much as $100,000 per year using this practice. He now plans to buy new equipment that guarantees the thickness of a tortilla within 0.005 inch. If the ideal thickness of a tortilla is 0.04 inch, what tortilla thickness will be guaranteed?

Respuesta :

Answer:

.035≤x≤0.045

Explanation:

Let x= the actual measurement.

|actual − ideal|≤ tolerance

Use an absolute value inequality to express this situation.

|x−0.04|≤0.005

Rewrite as a compound inequality.

−0.005≤x−0.04≤0.005

Solve the inequality.

0.035≤x≤0.045

Answer the question. The tortillas will have a maximum thickness of 0.045 inch and a minimum thickness of 0.035 inch.

Cricetus

The thickness of tortillas that will be guaranteed is 0.04 to 0.045 inches.

  • Miguel's manufacturing machinery or equipment assures the thickness of something like the tortilla to be within 0.005 inches.
  • If somehow the optimum tortilla size equals to 0.04 inches, this same thickness of tortillas that'll be assured becomes:

= [tex]0.04 \pm 0.005[/tex]

= [tex]0.035 \ to \ 0.045 \ inches[/tex]

However, because Miguel desires to guarantee that the rules are being followed, thus the response above is correct.

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