If the width of the cardboard = x cm then its length is given by x + 8 cm.
Then the length of the box will be x + 8 - 2(2) = x + 4
and the width = x - 2(2) = x - 4 cm The height is 2 cm
Volume = h*w*l = 2(x - 4)(x + 4) = 256
2(x^2 - 16) = 256
x^2 - 16 = 128
x^2 = 144
x = 12 cm
Dimensions of the box are:-
length = 12 + 4 = 16cm
width = 12 - 4 = 8 cm
height = 2 cm
You would make a fraction with circles on the top which would be 76. Then you would add 22 to 76 and get 97 because that is the number of all of the shapes. That would mean your fraction would be 76/97. If u want to simplify that is up to you.
1.) First plug in the values for m and A:

--> 
Isolate b: 
b = 1999
So your answer is the first option.
2.) Admission costs $5.25, so even if you don't go on any rides, you will still have to pay $5.25. This means that for this problem, 5.25 will be the b value. If each ride costs $2.50, then this means it is $2.50x for the cost of x rides. The total cost will then be
.
The number of pieces made from rod is 49
<h3><u>Solution:</u></h3>
Given that A metal rod will be cut into pieces that are each 1/56 meters long
The rod is 7/8 meters long.
<em><u>To find: number of peices made from rod</u></em>
The number of peices made from rod can be calculated by dividing the total length of rod by length of each piece

Here total length of rod =
meters
length of each piece to be made =
meters
Substituting the values in above formula, we get


So the number of pieces made from rod is 49