There's a string of red and blue lights strung around a window the red lights blink every three seconds and the blue lights blink every five seconds how many times will the blank at the same time in one minute

In one minute, they will blink at the same minute 4 times.

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.

It takes 3 seconds for the red light to blink and 5 seconds for the blue light to blink. The lcm between 3 and 5 is 15. This means that they blink together each 15 seconds.

A minute has 60 seconds. So in a minute, they are going to blink together 60/15 = 4 times.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions