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kakasveta [241]
3 years ago
13

Factorise 125x^3 -27y^3

Mathematics
1 answer:
telo118 [61]3 years ago
6 0

Answer:

(5x - 3y)(25x² +15xy + 9y²)

Step-by-step explanation:

125x³ - 27y³ is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²)

Given

125x³ - 27y³

= (5x)³ - (3y)³

= (5x - 3y)((5x)² + (5x)(3y) + (3y)²)

= (5x - 3y)(25x² + 15xy + 9y²)

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Order of operations (GEMS)
cestrela7 [59]
(6+2*3)/(9-7)^2
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Final answer: 3
Remember to simplify within parentheses first and then divide the two values in the end.
3 0
3 years ago
In the video, the water level was 15 milliliters before adding the chain, and 20 milliliters after adding the chain. When I weig
mr_godi [17]

Answer:

  • 39.7%

Explanation:

<u />

<u>1. First find the density of your chain</u>

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  • Volume = displaced water volume

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                     = 20 ml - 15 ml = 5 ml

  • Mass = 66.7 g

  • Density = 66.7g / 5 ml = 13.34 g/ml

<u />

<u>2. Second, write the denisty of the chain as the weighted average of the densities of the other metals:</u>

Mass of gold × density of gold + mass of other metals × density of other metals, all divided by the mass of the chain.

Calling x the amount of gold, then the amount of other metals is 66.7 - x:

        \dfrac{19.3\cdot x+9.7\cdot (66.7-x)}{66.7}=13.34

       19.3x+635.66-9.7x=889.778

      9.6x=254.118\\\\x=26.47

Then, there are 26.47 grams of gold in 66.7 grams of chain, which yields a percentage of:

  • (26.47 / 66.7) × 100 = 39.7%
7 0
3 years ago
Please solve this....
ivann1987 [24]

Answer:

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Step-by-step explanation:

see the attached picture for solution --

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Y = 7.25x

Where x = hours.

You can get this by dividing the amount by the amount of hours in each pair. 
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