A66-inch pipe is cut into two pieces. one piece is five times the length of the other. find the length of the shorter piece.

11 inches

Step-by-step explanation:

You know one piece is five times the size of the other so 5 is the coefficient for x, which represents the unknown number we multiply by 5 and add with the other x to get the total 66 inches.

5x + x = 66

Now add the like terms.

5x + x = 6x

Your equation then looks like this:

6x = 66

Divide by 6. (In other words, do the inverse operation.)

x = 11

Reason:

You divide 6x by 6 which cancels out.

Then you divide 66 by 6 to get 11.

x = 11

Last step:

Substitute in the x. This helps you make sure the x is correct. If it is, you will end up with 66.

5(11) + 11 = 66

Since this is true, now you can find what the length is for the shorter side.

We know the longer side is 55, so now we know the short side is 11.

529 and 531

step-by-step explanation:

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870