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Vesnalui [34]
3 years ago
11

Jack and Jill fetched 24 pints of water in their bucket. Jill drank a tenth of this, jack a quarter. They gave three eighths to

dame Dob and a fifth to jill's mother.

Mathematics
1 answer:
Minchanka [31]3 years ago
4 0

Answer: See explanation

Step-by-step explanation:

Total water fetched = 24 pints.

Jill drank a tenth of this. This will be:

= 1/10 × 24

= 2.4 pints

Jack drank a quarter. This will be:

= 1/4 × 24 = 6.

They gave three eighths to dame Dob . Thus will be:

= 3/8 × 24

= 9

They gave a fifth to jill's mother. This will be:

= 1/5 × 24.

= 4.80

Amount that'll be left over will be:

= 24 - (2.40 + 6 + 9 + 4.80)

= 24 - 22.2

= 1.8

1.8 pints of water will be left over.

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The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 3 hours
ella [17]

Answer:

137

Step-by-step explanation:

Use the model A = Pe^(kt), where P is the initial number and k is the growth constant.  Then, in case 1,

300 = Pe^(k*3)

and in case 2,

4000 = Pe^(k*10).  We need to find P and e^k.

300 = Pe^(k*3) can be rewritten as (300/P) = [e^k]^3, which in turn may be solved for e^k:

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Now we go back to 4000 = Pe^(k*10) and rewrite it as (4000/P) = [e^k]^10.  Substituting ∛(300/P) for e^k, we obtain:              

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which must now be solved for P.  Raising both sides by the power of 3, we get:

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4000^3       300^10

------------- = -------------

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4000^3       300^10

------------- = -------------

       1             P^7

or

        1         P^7

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or:

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P^7 = ---------------- = 9.226*10^13  = 92.26*10^12

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Taking the 7th root of both sides results in P = (92.26*10^12)^(1/7), or

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