Answer:
y =
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 4)
m =
= ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
The line crosses the y- axis at (0, 2) ⇒ c = 2
y =
x + 2 ← equation of line
Answer:
4 hours
Step-by-step explanation:
For this, we can set up an equation
We can name the total number of hours x.
So the price for Shawns rentals would be as follows:
27.50x
and Darlas surf shop would be:
23.25x+17
Now, we put these into an equation.
We are trying to find for what number of x will the charges be equal, so we can make this equation:
27.50x=23.25x+17
Now we get the variables on one side, and the numerical values on the other.
We can do this by subtracting 23.25x from both sides. (What you do to one side you must do to the other to keep the equation equal.)
4.25x=17
Divide both sides by 4.25.
x=4
You would rent the equipment for 4 hours to make the charges equal.
Answer:
Area of the resulting rectangle = 23.375 inch²
Step-by-step explanation:
After 1 fold width or length reduces to half.
Area = Length x width
So after 1 fold area will reduce to half.
So we have
![\texttt{Area after n folds =}\frac{\texttt{Initial area}}{2^{\texttt{number of folds}}}](https://tex.z-dn.net/?f=%5Ctexttt%7BArea%20after%20n%20folds%20%3D%7D%5Cfrac%7B%5Ctexttt%7BInitial%20area%7D%7D%7B2%5E%7B%5Ctexttt%7Bnumber%20of%20folds%7D%7D%7D)
Initial area = 8.5 x 11 = 93.5 inch²
Here the paper were folded completely in half, length is reduced to half and width reduced to half, that is
Number of folds = 2
![\texttt{Area after 2 folds =}\frac{\texttt{Initial area}}{2^{2}}\\\\\texttt{Area after 2 folds =}\frac{93.5}{4}=23.375inch^2](https://tex.z-dn.net/?f=%5Ctexttt%7BArea%20after%202%20folds%20%3D%7D%5Cfrac%7B%5Ctexttt%7BInitial%20area%7D%7D%7B2%5E%7B2%7D%7D%5C%5C%5C%5C%5Ctexttt%7BArea%20after%202%20folds%20%3D%7D%5Cfrac%7B93.5%7D%7B4%7D%3D23.375inch%5E2)
Area after 2 folds = 23.375 inch²
Area of the resulting rectangle = 23.375 inch²
Answer:
![\frac{17}{28}](https://tex.z-dn.net/?f=%20%5Cfrac%7B17%7D%7B28%7D)
Step-by-step explanation:
There are 56 females
There is 56 females
34 are 20+
34/56 simplfies to 17/28