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3 years ago

What is the lcm of 16, 24 and 40

1 answer:

ivann1987 [24]3 years ago

8 0

The answer is 240

Explanation: The Least Common Multiple (LCM) is the smallest number that two or more numbers will divide into evenly. NOTE: to find LCM you first need to know how to find GCD.

First we will find LCM for first two numbers ( 16 and24 ).

Step 1: Find the GCD (Greatest Common Divisor ) of 16 and 24 which is 8.

Step 2: Multiply the numbers 16 and 24 together ( 16 * 24 = 384 )

Step 3: Divide the 384 with 8. (384/8 = 48)

So, the LCM of 16 and 24 is 48.

Now we will find the LCM of above result (48) and third number ( 40 ) using the same procedure.

The result of this part is 240

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If the Volume of a Cylinder is 287 and the radius is 5, what is the height "h"?

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3 years ago

A signal light is green for 4 minutes, yellow for 10 seconds, and red for 3 minutes. If you drive up to this light, what is the

posledela

Answer:

0.56 is the required probability.

Step-by-step explanation:

Time for which signal shows green light = 4 minutes

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes

To find:

Probability that the signal will show green light when you reach the destination = ?

Solution:

First of all, let us convert each time to same unit before doing any calculations.

Time for which signal shows green light = 4 minutes = 4 $\times$ 60 seconds = 240 seconds

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes = 3 $\times$ 60 seconds = 180 seconds

Now, let us have a look at the formula for probability of an event E:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Here, E is the event that green light is shown by the signal.

Number of favorable cases mean the time for which green light is shown and Total number of cases is the total time <em>(Time for which green light is shown + Time for which Yellow light is shown + Time for which red light is shown)</em>

So, the required probability is:

$P(E) = \dfrac{240}{240+10+180}\\\Rightarrow P(E) = \dfrac{240}{430}\\\Rightarrow \bold{P(E) \approx 0.56 }$

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2 years ago

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3 years ago