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aksik [14]
4 years ago
14

A drop of oil measuring 0.23 cubic centimeters is spilled into a lake. The oil spread out into a circular shape having a diamete

r of 20 cm. Approximate the thickness of the film
Mathematics
1 answer:
Kaylis [27]4 years ago
7 0
To determine the thickness of the film, we assume the shape of the film is in a form of cylinder where the thickness is equal to the height. The volume of a cylinder is expressed as:

V = pi (r^2) h

We calculate as follows:

0.23 = pi (10^2) (h)
h = 0.0007 cm
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A restaurant owner was experimenting with the taste of her homestyle lemon drink. She started with 60 litres of water. She remov
Burka [1]

Answer:

ratio of pure lemon juice to water in the homestyle lemon  drink is 5 : 19.

Step-by-step explanation:

In order to solve the final ratio of lemon juice to water, let us start by determining the initial ratio of pure lemon juice to water in the first mix. This is done as follows:

Total volume of mixture = 60 liters

initial volume of water = 60 liters

initial volume of lemon juice = 0 liters

1) She removed 15 liters of the water and replaced it with 15 liters of pure lemon juice.

Volume of water = 60 - 15 = 45 liters

Volume of lemon juice = 15 liters

 \therefore \frac{15}{60}\ = \frac{1}{4}\  of\ the\ first\ mix\ is\ lemon\ juice\\\frac{45}{60}\ = \frac{3}{4}\  of\ the\ first\ mix\ is\ pure\ water

2) She removed 10 liters of the new mixture

Let us convert this amount removed into ratio:

lemon\ juice\ = \frac{1}{4}\ \times 10 = \frac{10}{4} = \frac{5}{2}\ liters.\\  \therefore the\ owner\ removes\ \frac{5}{2}\ liters\ of\ pure\ lemon\ juice\\pure\ water\ = \frac{3}{4}\ \times 10 = \frac{30}{4} = \frac{15}{2}\ liters\\  \therefore\ the\ owner\ removes\ \frac{15}{2}\ liters\ of\ water\ from\ the\ first\ mix.

New volumes of water and lemon juice after removing the 10 liters of mixture is calculated as follows:

lemon\ juice\ = 15 - \frac{5}{2} = \frac{30-5}{2} = \frac{25}{2}\ liters\ of\ lemon\ juice\\pure\ water\ = 45 - \frac{15}{2} = \frac{90-15}{2} = \frac{75}{2}\ liters\ of\ pure\ water

3) and replaced it with 10 liters of water.

New\ volume\ of\ water\ = 10 + \frac{75}{2} = \frac{20+ 75}{2} = \frac{95}{2}\ liters

The final ratio of lemon juice to water:

\frac{25}{2} : \frac{95}{2}\\= 25 : 95\\= 5 : 19

Therefore, the final ratio of pure lemon juice to water in the homestyle lemon  drink is 5 : 19.

4 0
3 years ago
You use 88 cups of flour to make 24 muffins. At that rate, how much flour will it take to make 30 muffins?
Serjik [45]
I hope this helps you




if 88 cups make 24 muffin


? how much cups make 30 muffin



?.24=88.30


?=8.11.3.10/8.3


?=110
3 0
3 years ago
Read 2 more answers
2x2=<br><br> what is the answer to this question?
posledela

Answer:

2×2=4

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Help me please, thank you :) ​
AfilCa [17]

<u>Answer:</u>

<em>101.6 feet</em>

<u>Step-by-step explanation:</u>

<em>First compute the perimeter of the first two windows: (3.4+5.2)*2=17.2</em>

<em>The perimeter of the four other windows: (3.6+4.8)*2=16.8</em>

<em>The total number of feet needed for the first two windows:</em>

<em>17.2*2 = 34.4 feet</em>

<em>The total number of feet needed for the four windows:</em>

<em>16.8*4 = 67.2 feet</em>

<em />

<em>The total number of feet needed is then: 34.4 + 67.2 = 101.6 feet.</em>

6 0
3 years ago
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Ivahew [28]

Answer:

fggfy

Step-by-step explanation:

  • <u>fhfhhhhygdhj5hcbm</u><u> </u><u>6b</u><u> </u><em><u>vhjjygiihybvhjoiiujh</u></em>
4 0
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