To serve 3 you half the recipe so divide each number by 2
3/4 cup/2 = 3/8 cup granulated sugar
1 cup/2 = 1/2 cup of evaporated milk
1/3teaspoon/2 = 1/6 teaspoon of vanilla
12 slices/2 = 6 slices of French bread
The equation of the line that is // to the given equation MUST HAVE THE SAME SLOPE.
The slope of the hiven equation is the number next to x or 3.
See it?
We know the slope is 3 and one point is given.
We now use the point-slope formula to find the equation.
y - y_1 = m(x - x_1)
See picture. The answer is y = 3x - 7.
Answer:
Part 1) ![A=60\ ft^2](https://tex.z-dn.net/?f=A%3D60%5C%20ft%5E2)
Part 2) ![A=80\ cm^2](https://tex.z-dn.net/?f=A%3D80%5C%20cm%5E2)
Part 3) ![A=96\ m^2](https://tex.z-dn.net/?f=A%3D96%5C%20m%5E2)
Part 4) ![A=144\ cm^2](https://tex.z-dn.net/?f=A%3D144%5C%20cm%5E2)
Part 5) ![A=9\ m^2](https://tex.z-dn.net/?f=A%3D9%5C%20m%5E2)
Part 6) ![A=(49\pi -33)\ in^2](https://tex.z-dn.net/?f=A%3D%2849%5Cpi%20-33%29%5C%20in%5E2)
Step-by-step explanation:
Part 1) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle
The area of rectangle is equal to
![A=bh](https://tex.z-dn.net/?f=A%3Dbh)
where
b is the base of rectangle
h is the height of rectangle
so
![A=(12)(7)-(8)(3)](https://tex.z-dn.net/?f=A%3D%2812%29%287%29-%288%29%283%29)
![A=84-24](https://tex.z-dn.net/?f=A%3D84-24)
![A=60\ ft^2](https://tex.z-dn.net/?f=A%3D60%5C%20ft%5E2)
Part 2) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior square
The area of square is equal to
![A=b^2](https://tex.z-dn.net/?f=A%3Db%5E2)
where
b is the length side of the square
so
![A=(12)(8)-(4^2)](https://tex.z-dn.net/?f=A%3D%2812%29%288%29-%284%5E2%29)
![A=96-16](https://tex.z-dn.net/?f=A%3D96-16)
![A=80\ cm^2](https://tex.z-dn.net/?f=A%3D80%5C%20cm%5E2)
Part 3) we know that
The area of the shaded region is equal to the area of four rectangles plus the area of one square
so
![A=4(4)(5)+(4^2)](https://tex.z-dn.net/?f=A%3D4%284%29%285%29%2B%284%5E2%29)
![A=80+16](https://tex.z-dn.net/?f=A%3D80%2B16)
![A=96\ m^2](https://tex.z-dn.net/?f=A%3D96%5C%20m%5E2)
Part 4) we know that
The shaded region is equal to the area of the complete square minus the area of the interior square
so
![A=(15^2)-(9^2)](https://tex.z-dn.net/?f=A%3D%2815%5E2%29-%289%5E2%29)
![A=225-81](https://tex.z-dn.net/?f=A%3D225-81)
![A=144\ cm^2](https://tex.z-dn.net/?f=A%3D144%5C%20cm%5E2)
Part 5) we know that
The area of the shaded region is equal to the area of triangle minus the area of rectangle
The area of triangle is equal to
![A=\frac{1}{2}(b)(h)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29)
where
b is the base of triangle
h is the height of triangle
so
![A=\frac{1}{2}(6)(7)-(6)(2)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%286%29%287%29-%286%29%282%29)
![A=21-12](https://tex.z-dn.net/?f=A%3D21-12)
![A=9\ m^2](https://tex.z-dn.net/?f=A%3D9%5C%20m%5E2)
Part 6) we know that
The area of the shaded region is equal to the area of the circle minus the area of rectangle
The area of the circle is equal to
![A=\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D)
where
r is the radius of the circle
so
![A=\pi (7^2)-(3)(11)](https://tex.z-dn.net/?f=A%3D%5Cpi%20%287%5E2%29-%283%29%2811%29)
![A=(49\pi -33)\ in^2](https://tex.z-dn.net/?f=A%3D%2849%5Cpi%20-33%29%5C%20in%5E2)
<span><span><span>Let the original number be "x".
(x-10)/4 = 2
x-10 = 8
x = 18 (original number of pieces of candy.)</span></span></span>