Answer:
yes it's correct good luck
Answer:
(x/4) +1 OR (4/x)+1
Step-by-step explanation:
1/2 (6x - 10) + 10 = 5x - 13
(6x/2) - (10/2) + 10 = 5x - 13
3x - 5 + 10 = 5x - 13
3x - 5x = -13 + 5 - 10
-2x = -18
x = -18 / -2
x = 9
D.) x = 9
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.