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anastassius [24]

3 years ago

9

Kelly is using a bucket to fill up a beer with water from a well. the barrel holds 25.5 liters. the bucket holds 800 millimeters

. the barrel already has 5.2 liters of water in it. what is the least number of buckets needed to fill the barrel.

1 answer:

Lady bird [3.3K]3 years ago

8 0

26 buckets. First I did 25.5 - 5.2 and got 20.3. Then I did 20.3 times 1000. Then divided that answer by 800. And got 25.375. Which rounds to 26.

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Jonathan increased his rate of walking by 25% at halfway to his destination and therefore arrived half an hour earlier than was

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Answer:

1.67 hours

Step-by-step explanation:

Let the original speed of Jonathan = $x$ units/hr

Let the original time taken by Jonathan = $y$ hours

Let the distance = $D$ units

Formula for distance is given as:

$Distance = Speed \times Time$

Given that half the distance is covered by original speed.

$\Rightarrow \dfrac{D}{2} = \dfrac{x}{2}\times \dfrac{y}{2}\\\Rightarrow D = \dfrac{xy}{2} ..... (1)$

Half the distance is covered by increasing the rate by 25%.

i.e. increased speed:

$\dfrac{5}{4}x\ units/hr$

Hence, Time taken:

$\dfrac{y}{2}-\dfrac{1}{2}$

Distance traveled is half of the total distance:

$\Rightarrow \dfrac{D}{2} = \dfrac{5x}{4}\times (\dfrac{y}{2}-\dfrac{1}{2})\\\Rightarrow D = \dfrac{5x}{2}\times (\dfrac{y}{2}-\dfrac{1}{2}) .... (2)$

Dividing (1) by (2):

$\dfrac{xy\times 4}{2\times 5x(y-1)} = 1\\\Rightarrow 2y=5y-5\\\Rightarrow 3y=5\\\Rightarrow y =1.67\ hours$

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liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

$Q(t) = Q(0)e^{rt}$

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

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This means that $Q(5730) = 0.5Q(0)$

So

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$e^{5730r} = 0.5$

$\ln{e^{5730r}} = \ln{0.5}$

$5730r = \ln{0.5}$

$r = \frac{\ln{0.5}}{5730}$

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So

$Q(t) = Q(0)e^{-0.00012t}$

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So

$Q(t) = Q(0)e^{-0.00012t}$

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Answer:

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