Answer:
x = 4
, y = 3
Step-by-step explanation:
Solve the following system:
{2 x - 3 y = -1 | (equation 1)
y = x - 1 | (equation 2)
Express the system in standard form:
{2 x - 3 y = -1 | (equation 1)
-x + y = -1 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x - 3 y = -1 | (equation 1)
0 x - y/2 = (-3)/2 | (equation 2)
Multiply equation 2 by -2:
{2 x - 3 y = -1 | (equation 1)
0 x+y = 3 | (equation 2)
Add 3 × (equation 2) to equation 1:
{2 x+0 y = 8 | (equation 1)
0 x+y = 3 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 4 | (equation 1)
0 x+y = 3 | (equation 2)
Collect results:
Answer: {x = 4
, y = 3
Answer:
64in
Step-by-step explanation:
for a four sided figure, you do base x height. volume isn't squared in Math.
Answer:
172.83 kg
Step-by-step explanation:
A cylindrical container has a radius (r) of 0.3 meter and a height (h) of 0.75 meter and density of 815 kg/m³.
The density of a substance is the mass per unit volume, it is the ratio of the mass of a substance to the volume occupied. The density is given by the formula:
Density = Mass / volume
The volume of a cylinder is given as:
V = πr²h
V = π × (0.3)² × 0.75 = 0.212 m³
Density = Mass/ volume
Mass = Density × Volume
Mass = 815 kg/m³ × 0.212 m³
Mass = 172.83 kg
Answer:
$ 3750 = truck rental; $125 per ton of sugar transported
C is cost; S is number of tons transported
Equation relating C to S would be a linear equation like y = mx + b
C = 125S + $3750
This equation would be graphed in the first quadrant only
you would start with your y-intercept at (0, 3750)
As x increases by 1, your y increases by 125 yielding these points:
(1, 3875) (2, 4000) (3, 4125) etc.
This shows that for each increase by one ton of sugar, the cost goes up $125
Step-by-step explanation:
