If a board 8 ¾ ft. long is cut into 7 equal parts, how long is each part?

26 5/32 in. or 2 ft

Step-by-step explanation:

Since we are taking into account 1/8in for each saw cut the total length of the 4 pieces of wood will be 3/8in less than the single long piece (3 cuts * 1/8).

Let's first convert the piece of wood to inches:

8 3/4ft = 8.75ft

8.75 ft *(12in./1ft) => 8.75 *12= 105 inches

Now we can subtract the 3/8in that will be lost from making 3 cuts:

105in. - 3/8in. = 104 5/8in.

So the total length of the 4 pieces of wood will be 104 5/8in.

Therefore, each piece will be (104 5/8in)/4 in length.

First let's convert 104 5/8in. to an improper fraction to make it easier to work with:

104 5/8in. = (104*8 + 5)/8in.

=837/8in.

Now we can divide this by 4 to get the length of each piece of wood:

(837/8in.)/4 is the same as (837/8in.)*(1/4)

Multiply numerators together, and multiply the denominators together:

(837/8in.)*(1/4) = 837/32in.

Convert back to a mixed number if needed:

837/32in.= 26 5/32in. or 2ft, 2 5/32in.

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

9

step-by-step explanation: