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3 years ago

Find the smallest square number that is divisible by each of the numbers 8, 9 and 10

Mathematics

2 answers:

Vsevolod [243]3 years ago

8 0

Answer:

Step-by-step explanation:

Find Least common denominator of 8, 9 & 10

8 = 2 * 2 * 2

9 = 3* 3

10 = 5*2

LCM = 2*2*2*3*3*5 = 8 * 9 * 5 = 360

To make 360 a perfect square,multiply by 10

360*10 = 3600 is a perfect square

vekshin13 years ago

7 0

Answer:

Step-by-step explanation:

Find the LCM of 8,9 and 10.

Prime Factorization to find LCM,

8 = 2 × 2 × 2

9 = 3 × 3

10 = 2 × 5

LCM ( 8 , 9 , 10 ) = 2 × 2 × 2 × 3 × 3 × 5 =360

But 360 is not square

Now we make the pairs complete by multiplying same numbers in prime factorization of LCM.

We need one 2 and one 5 to complete the pair.

We get, Least Square number = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 = 3600

Hope this helps

good Luck

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What is the missing numerator? blank over five plus eighteen over twenty equals thirty over twenty 8 5 3 2

Oliga [24]

Given:

$\dfrac{?}{5}+\dfrac{18}{20}=\dfrac{30}{20}$

To find:

The missing value.

Solution:

Let x be the missing value.

We have,

$\dfrac{x}{5}+\dfrac{18}{20}=\dfrac{30}{20}$

$\dfrac{x}{5}+\dfrac{9}{10}=\dfrac{3}{2}$

Subtract $\dfrac{9}{10}$ from both sides.

$\dfrac{x}{5}=\dfrac{3}{2}-\dfrac{9}{10}$

$\dfrac{x}{5}=\dfrac{15-9}{10}$

$\dfrac{x}{5}=\dfrac{6}{10}$

$\dfrac{x}{5}=\dfrac{3}{5}$

Multiplying both sides by 5, we get

$x=3$

So, the missing value is 3.

Therefore, the correct option is C.

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zhenek [66]

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tiny-mole [99]

percent of increase for a population that changed from 25,000 to 30,000

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enyata [817]

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rosijanka [135]

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Step-by-step explanation:

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