Z varies directly with x and inversely with y.
1 answer:
Answer:
z =
Step-by-step explanation:
Given that z varies directly with x and inversely with y then the equation relating them is
z = ← k is the constant of variation
To find k use the condition when x = 6 and y = 2, z = 15, thus
15 = ( multiply both sides by 2 )
30 = 6k ( divide both sides by 6 )
5 = k
z = ← equation of variation
When x = 4 and y = 9, then
z = =
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Step-by-step explanation:
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Answer:
Mrs. Habib will have 22.25 feet of border left after she puts border around the board.
Step-by-step explanation:
You must find the perimeter of the board and subtract it from the amount of border she has to find how much she will have left after she uses it. The formula for perimeter is , where
the length of the board, and
the width of the board. You will add those together and multiply them by 2 because there are 4 sides to a rectangle. That means this equation will look like:
Now you can just solve for the perimeter.
The perimeter is 24 feet. That means it will take 24 feet of border to cover her board. In order to find out how much she'll have left over, just subtract 24 from the total amount of border she has.
Therefore Mrs. Habib will have 22.25 feet of border left over after she covers the bulletin board.