One radio station broadcasts a weather forecast every 15 minutes and another ratio station broadcasts a commercial every 6 minutes. If the stations broadcast both a weather forecast and a commercial at noon, when is the next time that both will broadcast at the same time?

12:30 pm

Step-by-step explanation:

Radio station A

Weather forecast every 15 minutes

Radio station B

commercial every 6 minutes

If the stations broadcast both a weather forecast and a commercial at noon, when is the next time that both will broadcast at the same time?

To find the next time both stations will broadcast at the same time, find the lowest common multiples of the two broadcast

Radio station A

Weather forecast every 15 minutes

= 30, 45, 60

Radio station B

commercial every 6 minutes

= 12, 18, 24, 30, 36, 42, 48, 54

The lowest common multiple of both stations is 30 minutes

Noon + 30 minutes

= 12:00pm + 30 minutes

= 12:30 pm

4 candies

step-by-step explanation:

7 x 28 = 196

200 - 196 = 4 candies remaining.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .