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Lynna [10]
3 years ago
15

Select the three ratios that are equivalent to 2 adults5 children. CLEAR CHECK 8 adults20 children 5 adults8 children 20 adults5

0 children 4 adults10 children
Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer:

Step-by-step explanation:

The ratio of adult to children is determined by number of adult / number of children.

We want to determine the three ratios that are equivalent to 2 adults 5 children. So we will divide each of the given number of adults and children.

1) 8 adults 20 children = 8/20 = 2/5

2) 5 adults 8 children = 5/8

3) 20 adults 50 children = 20/50 = 2/5

4) 4 adults 10 children = 4/10 = 2/5

So the three ratios that are equivalent to 2 adults 5 children are

8 adults 20 children,

20 adults 50 children and

4 adults 10 children

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It is A. x = 2√3, y = 4√3
3 0
4 years ago
at 10a.m. you consume an energy drink containing 800mg of caffeine. if the half-life of caffeine is 5.7 hours, how much caffeine
icang [17]

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.

6 0
3 years ago
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2 years ago
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