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miskamm [114]
4 years ago
15

There is a string of red and blue lights strung around a window. The red lights blink every 3 second and the blue lights every 5

seconds. How many times will they blink at re same time in one minute?
Mathematics
2 answers:
Vladimir79 [104]4 years ago
8 0

Answer:

They will blink 4 times together in one minute.

Step-by-step explanation:

The amount it takes for them to blink together is the least common multiple between the time it takes for each of them to blink together.

The red light blinks each 3 seconds.

The blue light blinks each 5 seconds.

The least common multiple between 3 and 5 is 15. So they will blink together each 15 seconds.

Each minute has 60 seconds. So they will blink 60/15 = 4 times together in one minute.

Ann [662]4 years ago
7 0

Find the lowest common multiple of 3 and 5, that is 15

the lights will blink together every 15 seconds

in 1 minute blink together \frac{60}{15} = 4 times

that is at 15, 30, 45 and 60


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Step-by-step explanation:

Given:

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PLEASE HELP ME!!
Ludmilka [50]

Answer:

<h2>The population will reach 1200 after about 2.8 years</h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The population of a certain species of bird in a region after t years can be modeled by the function P(t) = 1620/ 1+1.15e-0.42t , where t ≥ 0. When will the population reach 1,200?

According to question we are to calculate the time t that the population P(t) will reach 1200.To do this we will substitute P(t) = 1,200 into the equation and calculate for the time 't'.

Given;

P(t) = \frac{1620}{1+1.15e^{-0.42t} } \\\\at \ P(t)= 1200;\\\\1200 =  \frac{1620}{1+1.15e^{-0.42t} }\\\\cross\ multiplying\\\\1+1.15e^{-0.42t} = \frac{1620}{1200} \\\\1+1.15e^{-0.42t}  = 1.35\\\\1.15e^{-0.42t} = 1.35-1\\\\e^{-0.42t} = \frac{0.35}{1.15}\\ \\e^{-0.42t}  = 0.3043\\\\Taking \ ln\ of\ both\ sides\\\\lne^{-0.42t}  = ln0.3043\\\\-0.42t = -1.1897\\\\t = \frac{-1.1897}{-0.42} \\\\t = 2.8 years\\\\

The population will reach 1200 after about 2.8 years

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Step-by-step explanation:

The answer to this question is A. We know this because it is in slope-intercept form, there m is the slope and b is the y-intercept. In A, you can see that 1/3 is m and b is 2. This proves that A is the correct answer.

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