A carpenter uses 65 shelves to make 13 bookcases. She uses the same number of shelves for each bookcase. How many shelves are used for each bookcase? (hint: 65 ÷ 13)
Are 32 shelves enough for 6 more bookcases? (yes or no)

First, we would need to figure out how many shelves are needed to build 1 bookcase. To do that, you would need to divide the number of shelves by the number of bookcases it can make.

65 ÷ 13 = 5

Now we know, it takes 5 shelves to build a single bookcase.  The next step would be to find out how many shelves it would take to build 6 more bookcases.  To find the answer, you would multiply the number of shelves it takes to build 1 bookcase by the number of bookcases that need to be built.

5 x 6 = 30

So, yes, 32 shelves would be more than enough to build 6 more bookcases.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

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step-by-step explanation: