13. measure the equation y = 2.54x gives the length y in centimeters corresponding to a length x in inches. what is the length in centimeters of a 1-foot ruler?

It is given in the question that

The equation y = 2.54x gives the length y in centimeters corresponding to a length x in inches.

And we have to find the length in centimeters of a 1-foot ruler.

And 1 foot equals to 12 inches. Therefore x  equals to 12 inches.

Hence, we will get

Therefore, the length of a 1 foot ruler in cm is 30.48 cm .

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