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:
In the given two column proof two sides and included angles are equal.
Triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles .In the figure sides BD≅BD , AB≅ BC and <ABD ≅,BDD Therefore triangle ABD and triangle CBD are congruent by SAS property of congruence.
Answer:
A
Step-by-step explanation:
Noting that i² = - 1
Given
(7 - 3i)(8 + 4i) ← expand factors using FOIL
= 56 + 28i - 24i - 12i²
= 56 + 4i - 12(- 1)
= 56 + 4i + 12
= 68 + 4i → A
Answer:
4
When you divide powers you take them away but when you times them you add them
Answer:
1 : 3
Step-by-step explanation:
Given that :
For every goal TEAM A score ; TEAM B scores 3
Expressing the above as a ratio in the form:
Team A : Team B
Team A = 1 ; Team B = 3
1 : 3
Hence, the ratio is in the form 1 : 3