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maks197457 [2]
3 years ago
9

Prove that if a, b ∈ n, then the supremum i.e. the least upper bound of {a, b} is the lcm(a, b).

Mathematics
1 answer:
WINSTONCH [101]3 years ago
6 0
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A bottle contains 5/9 liters of soda. Keisha has 3 of these bottles.
satela [25.4K]

Answer: 1 2/3 Liters

Step-by-step explanation:

  • Create the equation

The equation is going to be the amount of soda, multiplied by the amount of bottles Keisha has

5/9 x 3/1 (3/1 is equivalent to having 3 or 1+1+1)

  • Solve

We are going to multiple the numbers, numerator by numerator, and denominator by denominator since we do not need to add or subtract

  1. Numerator= 5x3=15
  2. Denominator= 9x1=9

Your improper awnser would be 15/9

DO NOT STOP HERE THIS IS NOT THE SIMPLEST FORM

  • Create the simplest mixed number

15/9 is equal to 15 divided by 9

we can fit 1 9 in 15 without going over

1 ?/15

15-9=6

1 6/9

  • Simplify

6 and 9 are both divisible by 3

6 divided by 3 = 2

9  divided by 3 = 3

1 6/9=1 2/3

  • Awnser and add your units

1 2/3 is the simpelest form, this can not be further divided.

1 2/3 Liters of Soda

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The answer is .02 per second
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Step-by-step explanation:

Since ∠E is right angle, its opposite side is DF and the legs are DE and EF.

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