A volleyball league organizer collected $2,040 for both divisions of volleyball teams. The Blue division costs $160 per team and the Red division cost $180 per team. How many teams will play in each division.
<h3><u>Answer:</u></h3>
6 teams will play in each division
<h3><u>
Solution:</u></h3>
Given that volleyball league organizer collected $2,040 for both divisions of volleyball teams
The blue division costs $160 per team
The Red division cost $180 per team.
Let the number of blue teams be "b"
Let the number of red teams be "r"
Total cost = number of blue teams x cost of blue division per team + number of red teams x cost of red division per team
Total cost = 160b + 180r
2040 = 160b + 180r
Assuming both divisions have the same number of teams, we substitute b = r = x
2040 = 160x + 180x
2040 = 340x
x = 6
So 6 teams will play in each division
1) We calculate the volume of a metal bar (without the hole).
volume=area of hexagon x length
area of hexagon=(3√3 Side²)/2=(3√3(60 cm)²) / 2=9353.07 cm²
9353.07 cm²=9353.07 cm²(1 m² / 10000 cm²)=0.935 m²
Volume=(0.935 m²)(2 m)=1.871 m³
2) we calculate the volume of the parallelepiped
Volume of a parallelepiped= area of the section x length
area of the section=side²=(40 cm)²=1600 cm²
1600 cm²=(1600 cm²)(1 m² / 10000 cm²=0.16 m²
Volume of a parallelepiped=(0.16 m²)(2 m)=0.32 m³
3) we calculate the volume of a metal hollow bar:
volume of a metal hollow bar=volume of a metal bar - volume of a parallelepiped
Volume of a metal hollow bar=1.871 m³ - 0.32 m³=1.551 m³
4) we calculate the mass of the metal bar
density=mass/ volume ⇒ mass=density *volume
Data:
density=8.10³ kg/m³
volume=1.551 m³
mass=(8x10³ Kg/m³ )12. * (1.551 m³)=12.408x10³ Kg
answer: The mas of the metal bar is 12.408x10³ kg or 12408 kg
Move the -3 to the other side which makes it 41 + 3 = 44
So now the equation looks like 4x=44
Now divide 44 by 4, equals 11
x=11
Answer:
13.7142857143
Step-by-step explanation:
If you need to round then do so, or i will comment the rounded version if needed.
This triangle is obtuse( as it's one angle is greater than 90°) as well as isosceles (as it's two sides are equal).
