PLZ HELP WILL GIVE THANKS+BRANLIEST! the length of the box is 2 1/2m, it is 1 9/16 times its width. what is the height of the box if its volume is 12 3/4m3?

3 3/16

Step-by-step explanation:

Length of the box L= 2 1/2m= 1 9/16 W

Width of box W = W

Height H=?

Volume V= 12 3/4m3

If L= 5/2 = 25/16 W

W= 16 × 5/2× 25

W= 80/50= 8/5 = 1 3/5

V= LWH

Hence height =

51/4 = 5/2 × 8/5 × H

H= 51/4 × 10/40 =51/16

H= 3 3/16

hiking down a winding trail.

step-by-step explanation:

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.