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Greeley [361]
4 years ago
13

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

Mathematics
2 answers:
Vsevolod [243]4 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

vekshin14 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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To find slope subtract the two points in the coordinate (y). We have 8 and 4 so subtract those two. You get 8-4=4. Now start from the same coordinate expect this time subtract (x). Which is 9-3=6. You have 4/6 simplify and you get 2/3. Your slope is 2/3. Hope this helps
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3 years ago
Take a square sheet of paper 20 cm by 20 cm, cut identical squares from each corner, and fold up the flaps to make a box (withou
iris [78.8K]

The maximum possible volume of this type of box that can be made from a 20 cm by 20 cm square of paper is 512cm³.

<h3>How to calculate the volume?</h3>

From the information, when the side of 1cm are cut, this will become an open box. The volume will be:

= 18 × 18 × 1

= 324cm³

Also, when 2cm is cut, the volume will be:

= 16 × 16 × 2

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3 0
2 years ago
Kareem and Kira each opened a savings account today. Kareem opened his account with a starting amount of $770, and he is going t
allochka39001 [22]

Answer:

Step-by-step explanation:

The question is not complete, i think the correct question is:

Kareem and Kira each opened a savings account today. Kareem opened his account with a starting amount of $770, and he is going to deposit $30 per month. Kira opened her account with a starting amount of $935, and she is going to deposit $45 per month. Let x be the number of months after today

Let us assume that each acre of land on Mars cost $107.

a) For Kareem account, she started with $770 and would deposit $30 per month. Let y represent the money deposited after x month. This can be represented by the equation:

y = 770 + 30x

Since each acre cost $107, 10 acre would cost $1070. Therefore $1070 is needed to be saved. To find the number of months, substitute y = 1070 and solve. Therefore:

1070 = 770 + 30x

1070 - 770 = 30x

30 x = 300

x = 300/30

x = 10

It would take 10 months for Kareem to buy 10 acres of land

b) For Kira account, she started with $935 and would deposit $45 per month. This can be represented by the equation:

y = 935 + 45x

Since each acre cost $107, 10 acre would cost $1070. Therefore $1070 is needed to be saved. To find the number of months, substitute y = 1070 and solve. Therefore:

1070 = 935 + 45x

1070 - 935 = 45x

45 x = 135

x = 3

It would take 3 months for Kira to buy 10 acres of land

4 0
4 years ago
P
statuscvo [17]

Answer:

18ywjhtzk8ywbhuj

Step-by-step explanation:

ujzjtzjdjwjduxhxhwbsusuww

4 0
3 years ago
Help me please hejwkwowviehw
vesna_86 [32]
The answer is 20 because it is 4 more after 16
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