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2 years ago

Find the smallest 4 digit number which is exactly divisible by 72 and 108with explaination

Mathematics

1 answer:

likoan [24]2 years ago

5 0

The smallest 4-digit number which is exactly divisible by 72 and 108 is 1080.

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

The Least common multiple of both the numbers 72 and 108 is 216. Since 216 is the least common multiple of both the numbers. Therefore, the four-digit number needs to be a multiple of 216 to be divisible by both the numbers. Thus, when 216 is multiplied by 5 the result is 1080, which is divisible by both 72 and 108. Hence, the smallest 4-digit number which is exactly divisible by 72 and 108 is 1080.

Learn more about Least Common Multiple:

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Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27,

Tanya [424]

Answer:

A, B and C

Step-by-step explanation:

In the equation: 3y=27x

Making y the subject of the equation, we have:

$y=\frac{27}{3}x\\y=9x$

The constant of proportionality between y and x is 9.

We want to determine which relationships have the same constant of proportionality 9.

Option A

y=9x

The constant of proportionality is 9.

Option B

2y=18x

Divide both sides by 2 to obtain: y=9x

The constant of proportionality is 9.

Option C

x=3, y=1/3

Substitution into y=kx gives:

1/3=3k

k=9

The constant of proportionality is 9.

Option D

x=6, y=2/3

Substitution into y=kx gives:

2/3=6k

k=2/3*6=4

The constant of proportionality is 4.

Option E

When x=2, y=18

Substitution into y=kx gives:

18=2k

k=9

However, when x=4, y=27

Substitution into y=kx gives:

27=4k

k=6.75

This is not a proportional relation since the constant of proportionality is not equal.

The correct options are A, B and C

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3 years ago

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Lina20 [59]

Answer:

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3 years ago

The area of a rectangle is 72 square inches. The length of the rectangle is 8 inches. What is the width of the rectangle?

docker41 [41]

9 square inches, all you had to do was divide it

4 0

3 years ago

Read 2 more answers

A. 472.5ft B. 945ft C. 135ft D. 470.5

notka56 [123]

Volume of prism = 1/2 a c h
= 1/2 × 7 × 9 × 15 = 472.5
Therefore, the vorrect answer is A. 472.5 ft

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3 years ago

jane takes 4 hours to do a job that Alice can do in 3 hours. if jane works 1/2 hour before Alice joins her, how long will it tak

BlackZzzverrR [31]

Answer:

2.4 hours

Step-by-step explanation:

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3 years ago

Find the smallest 4 digit number which is exactly divisible by 72 and 108with explaination​

Find the smallest 4 digit number which is exactly divisible by 72 and 108with explaination