If Eric plays piano, then David will sing.
The answer is C because it’s twice as long
2x^-2y^-2 = 2/x^2y^2 = 2/(2)^2 x (3)2 = 2/4 x 9 = 2/36 = 1/18
GIVEN
1) Females outnumber males by 3 to 2.
2) There are 1770 people in the city.
SOLUTION
Let the number of males be x and the number of females y. Therefore, the total number of people can be written to be:
![x+y=1770\text{ -----------(1)}](https://tex.z-dn.net/?f=x%2By%3D1770%5Ctext%7B%20%20%20-----------%281%29%7D)
If there are 3 females for every 2 males, we have that:
![\begin{gathered} \frac{y}{3}=\frac{x}{2} \\ \therefore \\ x=\frac{2y}{3}\text{ ----------(2)} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7By%7D%7B3%7D%3D%5Cfrac%7Bx%7D%7B2%7D%20%5C%5C%20%5Ctherefore%20%5C%5C%20x%3D%5Cfrac%7B2y%7D%7B3%7D%5Ctext%7B%20%20%20----------%282%29%7D%20%5Cend%7Bgathered%7D)
We can substitute equation (2) into equation (1) and solve for y:
![\begin{gathered} \frac{2}{3}y+y=1770 \\ \frac{2y+3y}{3}=1770 \\ 5y=1770\times3 \\ 5y=5310 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B2%7D%7B3%7Dy%2By%3D1770%20%5C%5C%20%5Cfrac%7B2y%2B3y%7D%7B3%7D%3D1770%20%5C%5C%205y%3D1770%5Ctimes3%20%5C%5C%205y%3D5310%20%5Cend%7Bgathered%7D)
Dividing both sides by 5, we have
![y=1062](https://tex.z-dn.net/?f=y%3D1062)
There are 1062 females in the county.
Answer: F
Step-by-step explanation:
This is basically like 2 rectangles. Find the area of both and add them together.
Remember that the area is
x
.
Area of Rectangle 1:
= 7,
= 14
14 x 7 = 98![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
Area of Rectangle 2:
= 5,
= 14
14 x 5 = 70![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)
Add the areas together: 98
+ 70
= 168![cm^{2}](https://tex.z-dn.net/?f=cm%5E%7B2%7D)