Atypical glass of wine contains about 21 grams of alcohol. consider a 101-pound woman, with approximately 6 liters (6000 milliliters) of blood, who drinks two glasses of wine. complete parts (a) and (b) below. a. if all the alcohol were immediately absorbed into her bloodstream, what would her blood alcohol content be?

0.7 gram alcohol

Explanation:

Given data:

Total alcohol in a typical glass is 21 grams

Total number of glass drink by lady = 2 glass

therefore total alcohol drink by lady is (2*21) = 42 gram

volume of blood of lady is 6000 ml

from above information we have

6000 ml volume consist of 42 gram of alcohol

1 ml volume consist of gram of alcohol

100 ml because  blood alcohol content (BAC) of 0.08g/100mL is driving limit in the U.S.A.

x = 7

step-by-step explanation:

equating the expression for area to the given area

2x² - 7x - 4 = 45 ( subtract 45 from both sides )

2x² - 7x - 49 = 0 ← in standard form

to factor consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 49 = - 98 and sum = - 7

the factors are - 14 and + 7

use these factors to split the middle term

2x² - 14x + 7x - 49 = 0 ( factor the first/second and third/fourth terms )

2x(x - 7) + 7(x - 7) = 0 ← factor out (x - 7)

(x - 7)(2x + 7) = 0

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

2x + 7 = 0 ⇒ 2x = - 7 ⇒ x = -

thus the positive value for x is x = 7