Answer:
x = -5
Step-by-step explanation:
Divide each term by 4 and simplify.
Move all terms not containing X to the right side of the equation.
Divide each term by 3 and simplify.
Answer:
no solution
Step-by-step explanation:
(you do the exact same you'd do in an equation problem. Get x by itself)
3x+1<2x-2<5x+7
1 < -x-2 < 5x+7
3< -x < 5x+9
3 < -6x < 9
-(1/2) > x > -(3/2)
x can't be bigger than -3 halves and be smaller than -1 half, so the answer is no solution
Answer:
y has the greatest value.
Step-by-step explanation:
1.23w = t
Divide both sides by 1.23.
--- (1)
1.01x = t
Divide both sides by 1.01.
--- (2)
0.99y = t
Divide both sides by 0.99.
--- (3)
From (1), (2) and (3), it is clear that y has the greatest value.
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
Answer:
2.5
Step-by-step explanation:
t = 0.25
Substitute d with 100
t = 0.25 x (
)
A number to the half power is equal to the square root of a number.
Square root of 100 is 10: 
t = 0.25*10
t = 2.5
Hope this helps :)
Have an awesome day!
