Two neon lights are turned on at the same time. one blinks every 6 seconds and the other blinks every 8 seconds. in 3 minutes how many times will they blink at the same time?

Both lights will blink at the same time 12 times in 3 minutes

Step-by-step explanation:

Greatest Common Factor (GCF)

The greatest common factor of a set of numbers is the largest positive integer that divides exactly into all numbers. For example, 24 is the GCF of 6 and 8 because there is no smaller number who divides both numbers with zero-remainder.

We know two neon lights blink every 6 seconds and 8 seconds respectively. It means they coincide every 24 seconds. Thus it's only a matter of know how many times we can count 24 seconds in 300 seconds. We can easily find it by dividing 300/24=12.5

So both lights will blink at the same time 12 times in 3 minutes

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

the correct answer is the second option