El MCM de dos números es 200 y su MCD es 4. Si uno de ellos es 8, ¿cuál es el otro número?

Mathematics

1 answer:

avanturin [10]3 years ago

4 0

Answer: The other number is 100.

Step-by-step explanation:

The least common multiple (LCM) of two numbers is 200

The greatest common denominator (GCD) is 4.

One of the numbers is 8, which is the other number?

Ok:

First, we can write 8 as: 2*2*2 = 2^3 = 2*4

Now, the minimal common denominator can be any number that is written in the form

x = 4*a*b..

where a, b etc are prime numbers.

We also know that

LCD(a,b) = a*b/GCD(a,b)

LCD(8,x) = 8*x/GCD(8, x)

200 = 8*x/4

x = 200*4/8 = 100

the other number is 100.

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Which inequality represents the statement? The ages (a) of s group of travelers all exceeded 17 years and were no more then 54 y

klasskru [66]

Answer:

The inequality that represents the age of the group, "x", is: $17 < x \leq 54$

Step-by-step explanation:

To express this problem in an inequality we will attribute the age of the members on the group with the variable "x". There are two available information about "x", the first states that every member of the group is older than 17 years, therefore we can create a inequality based on that:

$x > 17$

While the second data from the problem states that none of than is older than 54 years old, this implies that they can be at most that old, therefore the inequality that represents this is:

$x\leq 54$