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zepelin [54]
2 years ago
13

Please help evaluate?

Mathematics
1 answer:
Dominik [7]2 years ago
3 0
3. 

4^3 is equal to 64. Therefor log4(64) must be equal to 3. 
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Step-by-step explanation:add all the sides together

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What is the volume of something if the diameter is 2cm and the height is 9cm ?
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A metalworker has a metal alloy that is 15​% copper and another alloy that is 60​% copper. How many kilograms of each alloy shou
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18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.

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

Let x = kg of 15% copper alloy

Let y = kg of 60% copper alloy

Since we need to create 90 kg of alloy we know:

x + y = 90

51% of 90 kg = 45.9 kg of copper

So we're interested in creating 45.9 kg of copper

We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:

0.15x + 0.60y = 45.9

but

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x= 90 - y

substituting that value in for x

0.15(90 - y) + 0.60y = 45.9

13.5 - 0.15y + 0.60y = 45.9

0.45y = 32.4

y = 72

Substituting this y value to solve for x gives:

x + y = 90

x= 90-72

x=18

Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.

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Amber has 36 smarties to share among herself and 3 friends. How many smarties will each of them Receive?
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There are 4 people in total
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Step-by-step explanation:

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