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.
Answer:
2/14 or 1/7
Step-by-step explanation:
Half the girls where glasses so 2 girls.
there are only 2 girls that wear glasses out of all the 14
so the answer is 2/14
Hello!
To find the slope of the given equation, we would need to convert this equation from standard form into slope-intercept form. Our goal, is to get the variable y, on one side of the equation.
Remember that slope-intercept form is written as y = mx + b. In this form, m is the slope and b is the y-intercept.
2x + 4y = 12 (subtract 2x from both sides)
4y = 12 - 2x (divide both sides by 4)
y = 12/4 - 2/4x → y = -1/2x + 3
Therefore, the slope of this equation is -1/2, which is the final choice listed.
Hello!
In this case, you are looking for a value of K so the left side of the equation is equal to the right.
The left side of the equation is K (3x - 2), and the right is 4 - 6x. To get the left side to equal the right, you can set K = -2. This is because of the <u>distributive property</u>: a number just outside of the parenthesis can distribute to everything in the parenthesis like so:
-2 (3x - 2) = (-2 * 3x) - (-2 * -2) = -6x + 4
Therefore, your answer is K = -2.
Hope this helps!
(Side note: a better way to do this would be to divide both sides by 3x - 2)