All categories

3 years ago

A red-light flashes every 28 seconds. A green light flashes every 24

Mathematics

2 answers:

Maslowich3 years ago

6 0

Answer:

168 seconds

I edited the answer.

Step-by-step explanation:

To find the the time taken for both lights to flash at the same time, we need to find the lowest common multiple of 28 and 24.

28 x 6 = 168, 24 x 7 = 168

The LCM of 28 and 24 is 168.

So it takes 168 seconds for both lights to flash at the same time.

anygoal [31]3 years ago

4 0

Answer: 168 seconds

Step-by-step explanation:

We must find the common lowest multiplier or lowest numbers that multiply both the numbers to be equal to eachother

You might be interested in

Are the graphs of 6 y = -2x + 4 and y = 6x - 4 parallel perpendicular or neither

timurjin [86]

1st slope is -1/3. 2nd slope is 6

slope is same in parallel lines so not parallel

slopes are negative reciprocals in perpendicular lines so they aren't perpendicular

they are called oblique

4 0

3 years ago

Choose the graph below that correctly represents the equation 3x + 9y = −18. (5 points)

Tju [1.3M]

Answer:

the line through the points negative 6 comma 0 and 0 comma negative 2

Step-by-step explanation:

Rewrite the equation to something you are familiar with such as the slope intercept form; y = mx + b. This means you need to solve for y.

3x + 9y = -18 --- divide everything by 3.

x + 3y = -6

3y = -6 - x

y = -2 - 1/3x

your slope is -1/3 and your y intercept is - 2.

remember, y-intercept is when x = 0. therefore, when x = 0, y = -2.

write as an ordered pair (0, -2). the only option that has (0, -2) is the second one.

Therefore, the line through the points negative 6 comma 0 and 0 comma negative 2.

5 0

2 years ago

WHAT IS X³-27 SIMPLIFIED

Eduardwww [97]

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

$= {x}^{3} - {3}^{3}$

From trinomial expansion:

${(x - y)}^{3} = (x - y)(x - y)(x - y) \\$

open first two brackets to get a quadratic equation:

${(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)$

expand further:

${(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}$

take y to be 3, then substitute:

$( {x}^{3} - 3^3) = {(x - 3)}^{3} - 9x(3 - x)$

5 0

3 years ago

Does the graph represent a function? Yes or No

lisabon 2012 [21]

Answer:

Yes, the graph is a function because the lines do not overlap one another (vertical line test)

- I hope this helps have a great night

8 0

3 years ago

Read 2 more answers

What is the x-intercept of y=5x+20?

densk [106]

Answer:

the x intercept is -4

Step-by-step explanation:

to find the x intercept, set y = 0 and solve for x

y = 5x+20

0 = 5x+20

subtract 20 from each side

-20 = 5x +20 -20

-20 = 5x

divide each side by 5

-20/5 = 5x/5

-4 =x

7 0

3 years ago