1. Henry is using a total of 40 ft. of lumber to make a bookcase. The left and right sides of the bookcase are each 8 ft. high. The top, bottom, and two shelves are all the same length, labeled . Part A: Construct an equation to model the situation. (5 points)

Part B: Solve the equation. Show all your steps.

(5 points)

Part C: Use the solution to answer the question in a complete sentence. (5 points)

Part A:

40 = 16 + 4·s

Part B:

The length of the top and bottom and the two shelves are each = 6 ft.

Part C:

The width of the bookshelf is 6 feet

Step-by-step explanation:

The given parameters are;

The length of the lumber Henry is using to make the book case = 40 ft.

The height of the left and right side of the book case = 8 ft. each

The length of the top and bottom and the two shelves are each = s

Therefore, we have;

Part A:

The equation is given as follows;

40 = 8 × 2 + 4·s = 16 + 4·s

40 = 16 + 4·s

Part B:

The solution of the equation is given as follows;

40 = 16 + 4·s

4·s= 40 - 16 = 24

s = 24/4 = 6 ft.

s = 6 ft.

The length of the top and bottom and the two shelves are each = 6 ft.

Part C:

The width of the bookshelf is 6 feet

sorry, i can't understand your question. will later if you describe more clearly!

: )

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.