Respuesta :
2.5 mL
Further explanation
Given:
- A vial contains 20 mL of medicine.
- Each dose is ¹/₈ of the vial.
Question:
How many mL is each dose? Express your answer as a decimal.
The Process:
Let us prepare a model for a vial of medicine. This model consists of 8 parts.
[tex]\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot} = 20 \ mL[/tex]
[tex]\boxed{\cdot} = one \ dose \ or \ \frac{1}{8} \ of \ vial[/tex]
Let us determine how many mL in each dose in a way that is ¹/₈ multiplied by 20 mL.
[tex]\boxed{ \ = \frac{1}{8} \times 20 \ }[/tex]
[tex]\boxed{ \ = \frac{20}{8} \ }[/tex]
Both the numerator and denominator are divided by 4.
[tex]\boxed{ \ = \frac{5}{2} \ }[/tex]
Both the numerator and denominator are multiplied by 5. We have to express the answer as a decimal.
[tex]\boxed{ \ = \frac{25}{10} \ }[/tex]
Thus, each dose is [tex]\boxed{\boxed{ \ 2.5 \ mL \ }}[/tex]
- - - - - - - - - -
Let's look once again at the model of a vial of medicine.
[tex]\boxed{2.5 \ mL}\boxed{2.5 \ mL}\boxed{2.5 \ mL}\boxed{2.5 \ mL}\boxed{2.5 \ mL}\boxed{2.5 \ mL}\boxed{2.5 \ mL}\boxed{2.5 \ mL} = 20 \ mL[/tex]
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Keywords: a vial contains, 20 mL of medicine, if each dose is, 1/8, how many mL, each dose, express, your answer, as a decimal, 2.5 mL