Wood is sometimes sold in planks that are 2 inches high, 4 inches wide, and 6 feet long.

how many pieces can be cut that are 2 inches high, 4 inches wide, and 6 inches long?

show steps on how to do this, so i can understand how to do it!

you.

Answer = 72!

Step-by-step explanation:

Okay, so imagine that piece of wood in your mind

As the second part of the question states, the LENGTH is the only dimension that changes. It goes from 6 Foot pieces, to 6 INCH pieces.The height and the width stay the same, at 2 inches and 4 inches, respectively

So, we know that there are 12 inches in a foot. If the original piece was 6 Feet long, then if you multiply 6 (the number of feet) x 12 (the number of inches per foot) then you come up with 72!

Thus, that plank of would could be cut into 72 pieces that were 2 inches high, 4 inches wide, and 6 inches long.

the answer is ! ?

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.