1. A picket fence is composed of x pickets, eachof which is 1/2 inch wide. If th

Question

1.   A picket fence is composed of x pickets, eachof which is 1/2 inch wide. If there are six inches of which is 1/2inch wide. If there are six inches of space between each pairof pickets, which of the following represents the length of thefence, in feet? (1 foot=12 inches) a. 13/2 x    b. 13/2 x-6   c. 13/24 x     d. (13x+1)/24    e. (13x-12)/24 1.   A picket fence is composed of x pickets, eachof which is 1/2 inch wide. If there are six inches of which is 1/2inch wide. If there are six inches of space between each pairof pickets, which of the following represents the length of thefence, in feet? (1 foot=12 inches) a. 13/2 x    b. 13/2 x-6   c. 13/24 x     d. (13x+1)/24    e. (13x-12)/24

Explanation / Answer

1.   A picket fence is composed of x pickets, eachof which is 1/2 inch wide. If there are six inches of spacebetween each pair of pickets, which of the following represents thelength of the fence, in feet? (1 foot=12 inches) a. 13/2 x    b. 13/2 x-6   c. 13/24 x     d. (13x+1)/24    e. (13x-12)/24

the space needed for each picket is 6.5 inches then there will be 1picket on the end.so there are x-1 +1 at the end The so thelength is ((x-1)(6.5)+.5)/12    
(6.5x-6.5+.5)/12
(6.5x-6)/12
multiply by 2 to get rid of the decimal
(13x-12)/24

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