1 vaccine vial = 2.25 mL of vaccine ("a Pfizer vial contains 2.25 mL of vaccine") 1 vaccine dose = 0.30 mL of vaccine (“each dose, or shot, requires 0.30 mL of vaccine") 1 vaccinated person = exactly 2 vaccine doses (“each person requires two doses to become vaccinated") %3D 1 tray of vaccines = exactly 195 vaccine vials (“a tray of Pfizer vaccines contains 195 vials") %3D 4 trays of Pfizer vaccine = vaccinated people (your answer might contain a fractic
1 vaccine vial = 2.25 mL of vaccine ("a Pfizer vial contains 2.25 mL of vaccine") 1 vaccine dose = 0.30 mL of vaccine (“each dose, or shot, requires 0.30 mL of vaccine") 1 vaccinated person = exactly 2 vaccine doses (“each person requires two doses to become vaccinated") %3D 1 tray of vaccines = exactly 195 vaccine vials (“a tray of Pfizer vaccines contains 195 vials") %3D 4 trays of Pfizer vaccine = vaccinated people (your answer might contain a fractic
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
As before, you must use the dimensional analysis method we reviewed in class. you must include units beside every number in all your calculations.
![### Vaccine Dosage and Administration Information
#### Key Information:
1. **1 vaccine vial** = 2.25 mL of vaccine
*Explanation*: A Pfizer vial contains 2.25 mL of vaccine.
2. **1 vaccine dose** = 0.30 mL of vaccine
*Explanation*: Each dose, or shot, requires 0.30 mL of vaccine.
3. **1 vaccinated person** = exactly 2 vaccine doses
*Explanation*: Each person requires two doses to become vaccinated.
4. **1 tray of vaccines** = exactly 195 vaccine vials
*Explanation*: A tray of Pfizer vaccines contains 195 vials.
---
**Question 30:**
4 trays of Pfizer vaccine = ________ vaccinated people (your answer might contain a fraction)
---
To solve this, you need to follow these steps:
1. Calculate the total number of vaccine vials in 4 trays:
\[
\text{Total vials} = 4 \text{ trays} \times 195 \text{ vials/tray}
\]
2. Calculate the total volume of vaccine in these vials:
\[
\text{Total volume} = \text{Total vials} \times 2.25 \text{ mL/vial}
\]
3. Determine how many doses this total volume corresponds to:
\[
\text{Total doses} = \frac{\text{Total volume}}{0.30 \text{ mL/dose}}
\]
4. Finally, calculate how many people can be vaccinated with these doses:
\[
\text{Total vaccinated people} = \frac{\text{Total doses}}{2 \text{ doses/person}}
\]
Complete the calculations as follows:
Step 1:
\[
4 \text{ trays} \times 195 \text{ vials/tray} = 780 \text{ vials}
\]
Step 2:
\[
780 \text{ vials} \times 2.25 \text{ mL/vial} = 1755 \text{ mL of vaccine}
\]
Step 3:
\[
\frac{1755 \text{ mL}}{0.30 \text{ mL/dose}} = 5850 \text{ doses}
\]
Step 4:
\[
\frac{5850](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4dca08d-d7c1-4511-81d7-e3b17171b463%2F84f3c546-476f-4fdc-a2a0-69d205bb8137%2Fxhdr5id_processed.png&w=3840&q=75)
Transcribed Image Text:### Vaccine Dosage and Administration Information
#### Key Information:
1. **1 vaccine vial** = 2.25 mL of vaccine
*Explanation*: A Pfizer vial contains 2.25 mL of vaccine.
2. **1 vaccine dose** = 0.30 mL of vaccine
*Explanation*: Each dose, or shot, requires 0.30 mL of vaccine.
3. **1 vaccinated person** = exactly 2 vaccine doses
*Explanation*: Each person requires two doses to become vaccinated.
4. **1 tray of vaccines** = exactly 195 vaccine vials
*Explanation*: A tray of Pfizer vaccines contains 195 vials.
---
**Question 30:**
4 trays of Pfizer vaccine = ________ vaccinated people (your answer might contain a fraction)
---
To solve this, you need to follow these steps:
1. Calculate the total number of vaccine vials in 4 trays:
\[
\text{Total vials} = 4 \text{ trays} \times 195 \text{ vials/tray}
\]
2. Calculate the total volume of vaccine in these vials:
\[
\text{Total volume} = \text{Total vials} \times 2.25 \text{ mL/vial}
\]
3. Determine how many doses this total volume corresponds to:
\[
\text{Total doses} = \frac{\text{Total volume}}{0.30 \text{ mL/dose}}
\]
4. Finally, calculate how many people can be vaccinated with these doses:
\[
\text{Total vaccinated people} = \frac{\text{Total doses}}{2 \text{ doses/person}}
\]
Complete the calculations as follows:
Step 1:
\[
4 \text{ trays} \times 195 \text{ vials/tray} = 780 \text{ vials}
\]
Step 2:
\[
780 \text{ vials} \times 2.25 \text{ mL/vial} = 1755 \text{ mL of vaccine}
\]
Step 3:
\[
\frac{1755 \text{ mL}}{0.30 \text{ mL/dose}} = 5850 \text{ doses}
\]
Step 4:
\[
\frac{5850
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