Answer:
Density is defined as:
Density = mass/volume.
We know that:
For liquid A:
Density = 70kg/m^3
Mass = 1400kg
Then the volume is:
Volume = mass/density = (1400kg)/(70kg/m^3) = 20 m^3
For liquid B:
Density = 280 kg/m^3
Volume = 30m^3
We can find the mass of liquid B as:
mass = density*volume = (280kg/m^3)*(30m^3) = 8400 kg
We know that liquid C is a mixture of liquid A and B.
Then the mass of liquid C will be equal to the sum of the masses of liquid A and B, then:
Mass of liquid C = 1400kg + 8400kg = 9800kg
The same happens for the volume, then:
Volume of liquid C = 30m^3 + 20m^3 = 50m^3
Then the density of liquid C is:
Density of liquid C = (9800kg)/(50m^3) = 196 kg/m^3
Answer:
x = 8
Step-by-step explanation:
2x - 7 = 9
Add 7 to each side
2x-7+7 = 9+7
2x = 16
Divide each side by 2
2x/2 = 16/2
x = 8
So we know the slope of the equation because the slope of two parallel lines are the same:
y = -3/2x + b
9 = -3/2( -16 ) + b
9 = 24 + b
b = -15
so the equation of the new line is y = -3/2x - 15
Answer:
x = 3 feet
Step-by-step explanation:
Perimeter of a rectangle = 2 x ( length + width)
Perimeter = 6x + 14
length = 3x
width = 2x + 1
Substitute the dimensions in the equation for the perimeter of a rectangle
2 (3x + 2x + 1) = 6x + 14
Divide both sides of the equation by 2
3x + 2x + 1 = 3x + 7
5x + 1 = 3x + 7
Collect like terms
2x = 6
divide both sides by 2
x = 3