Question

I have two sets of lights, the first one turns on every 5 seconds, the other one turns on every 8 seconds. If they turn on at the same time, how many seconds will pass before they turn on simultaneously again?

likes

340 views

Answer to a math question I have two sets of lights, the first one turns on every 5 seconds, the other one turns on every 8 seconds. If they turn on at the same time, how many seconds will pass before they turn on simultaneously again?

$Expert avatar$

Fred

4.4

118 Answers

\begin{align*}&\text{To find the time when both lights turn on simultaneously again, we need to calculate the least common multiple (LCM) of 5 and 8.} \\&\text{Prime factorization of 5:} \\&5 = 5^1 \\&\text{Prime factorization of 8:} \\&8 = 2^3 \\&\text{The LCM is found by taking the highest power of each prime that appears:} \\&\text{LCM}(5, 8) = 2^3 \times 5^1 = 8 \times 5 = 40 \\&\text{Thus, the number of seconds before both lights turn on simultaneously again is} \\&\boxed{40 \text{ seconds}} \\\end{align*}

Frequently asked questions (FAQs)

Question: How many obtuse triangles can be formed using the side lengths of 4, 5, 6, 8, and 10 units?

Math question: Find the 3rd order derivative of f(x) = 5x^4 + 3x^3 - 2x^2 + 7x + 9.

Math Question: What is the fourth derivative of f(x) = 3x^4 - 2x^3 + 5x^2 - 8x + 2?

New questions in Mathematics

Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution

the value of sin 178°58'

A drawer contains three pairs of white socks, five pairs of black socks and two pairs of red socks. Caden randomly selects two pairs of socks on his way to the gym. What is the probability that both pairs of socks are black?

58+861-87

Consider numbers from 1 to 2023. We delete 3 consecutive numbers so, that the avarage of the left numbers is a whole number

Using the integration by parts method, calculate the integral of [x².ln(1/x)]dx: x 4 /4 x³/6 x 4 /8 x³/3 x 4 /6

What’s 20% of 125?

All the liquid contained in a barrel is distributed into 96 equal glasses up to its maximum capacity. We want to pour the same amount of liquid from another barrel identical to the previous one into glasses identical to those used, but only up to 3/4 of its capacity. How many more glasses will be needed for this?

The miles per gallon (mpg) for each of 20 medium-sized cars selected from a production line during the month of March are listed below. 23.0 21.2 23.5 23.6 20.1 24.3 25.2 26.9 24.6 22.6 26.1 23.1 25.8 24.6 24.3 24.1 24.8 22.1 22.8 24.5 (a) Find the z-scores for the largest measurement. (Round your answers to two decimal places.) z =

calculate the normal vector of line y = -0.75x + 3

I need to know what 20% or £3292.75

The price per night of a suite at the Baglioni Hotel in Venice is 1896 euros, VAT included. The VAT in Italy is 25%. The hotel gets a return of 10% out of the price VAT included. a) What is the amount of VAT paid by the hotel for one

A storage maker price is $2.50 per square feet. Find the price of a custom shed 4 yards long, and 5yards wide and 8 feet tall

Solve equations by equalization method X-8=-2y 2x+y=7

Take the limit of (sin(x-4))/(tan(x^2 - 16) as x approaches 4.

Given the word WEIRD, determine a four-letter offspring that can be formed with the letters of the word written above

Read the “Local Communities as Stakeholders: Does Amazon Really Need Tax Breaks?” example on p. 83 in Ch. 3 of Management: A Practical Introduction. In your response, discuss whether you feel that tax breaks for big companies benefit local communities. Describe ways to attract business to a region without having a negative impact on the larger community.

Triangle ABC has AB=AC and angle BAC =X, with X being less than 60 degrees. Point D lies on AB such that CB = CD Point E lies on AC such that CE= DE Determine angle DEC in terms of X

Find the orthogonal projection of a point A = (1, 2, -1) onto a line passing through the points Pi = (0, 1, 1) and P2 = (1, 2, 3).

97,210 ➗ 82 division

I have two sets of lights, the first one turns on every 5 seconds, the other one turns on every 8 seconds. If they turn on at the same time, how many seconds will pass before they turn on simultaneously again?

Answer to a math question I have two sets of lights, the first one turns on every 5 seconds, the other one turns on every 8 seconds. If they turn on at the same time, how many seconds will pass before they turn on simultaneously again?

You might be interested in