You can say 99 children or 39 children and 44 adults
Answer:
(x,y)--> (2,1), (4, -5), (7, -14), (9, -20), (11, -26)
Step-by-step explanation:
y = -3x + 7
substituting x-values in y= -3x + 7
x = 2
y= -3 × 2 + 7
= -6 + 7
= 1
x=4
y= -3 × 4 + 7
= -12 + 7
= -5
x=7
y= -3 × 7 + 7
= -21 + 7
= -14
x=9
y= -3 × 9 + 7
= -27 + 7
= -20
x=11
y= -3 × 11 + 7
= -33 + 7
= -26
The answer of 18 divided by 5634 is 0.00319488817.
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Answer:
268 mg
Step-by-step explanation:
Let A₀ = the original amount of caffeine
The amount remaining after one half-life is ½A₀.
After two half-lives, the amount remaining is ½ ×½A₀ = (½)²A₀.
After three half-lives, the amount remaining is ½ ×(½)²A₀ = (½)³A₀.
We can write a general formula for the amount remaining:
A =A₀(½)ⁿ
where n is the number of half-lives
.
n = t/t_½
Data:
A₀ = 800 mg
t₁ = 10 a.m.
t₂ = 7 p.m.
t_½ = 5.7 h
Calculations:
(a) Calculate t
t = t₂ - t₁ = 7 p.m. - 10 a.m. = 19:00 - 10:00 = 9:00 = 9.00 h
(b) Calculate n
n = 9.00/5.7 = 1.58
(b) Calculate A
A = 800 × (½)^1.58 = 800 × 0.334 = 268 mg
You will still have 268 mg of caffeine in your body at 10 p.m.
