find H in the bac male formula given: BAC Male = 0.066, M = 60kg and N = 5 standard drinks

The Blood Alcohol Content (BAC) formula for males is generally given by:

\[
\text{BAC} = \frac{N \times 10}{M \times H}
\]

where:

- \( N \) is the number of standard drinks,
- \( M \) is the body weight in kilograms,
- \( H \) is the hours since drinking began.

Given values:

\[
\text{BAC} = 0.066, \quad M = 60 \, \text{kg}, \quad N = 5 \, \text{drinks}
\]

We need to solve for \( H \) (hours since drinking began).

### Step 1: Write the equation with the given values
\[
0.066 = \frac{5 \times 10}{60 \times H}
\]

### Step 2: Simplify the equation
\[
0.066 = \frac{50}{60H}
\]

### Step 3: Multiply both sides by \( 60H \) to eliminate the fraction
\[
0.066 \times 60H = 50
\]

### Step 4: Simplify and solve for \( H \)
\[
3.96H = 50
\]
\[
H = \frac{50}{3.96}
\]
\[
H \approx 12.63 \, \text{hours}
\]

So, \( H \) is approximately **12.63 hours**.

Would you like more details on this calculation or have any questions?

Here are some related questions you might find helpful:

1. How does the BAC formula differ for females?
2. What factors can influence BAC besides weight and number of drinks?
3. How is a "standard drink" defined?
4. How does time affect BAC levels?
5. What is the legal BAC limit for driving in different countries?
6. How does metabolism affect BAC?
7. Can BAC be accurately calculated without a breathalyzer?
8. What are the effects of different types of alcohol on BAC?

**Tip:** Remember that BAC decreases over time as alcohol is metabolized by the liver, typically by about 0.015 per hour.

Learn how to calculate the hours since drinking began using the Blood Alcohol Content (BAC) formula. Step-by-step solution provided for BAC Male = 0.066, M = 60kg, and N = 5 standard drinks. Understand the relationship between BAC, body weight, number of drinks, and time elapsed. Suitable for advanced high school students and beyond.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation