Easy 0.003. Because it's all the way to the right. I've taken a whole class on this so ya its the right anwser
Answer:
18 parts of the 25% acid solution and 12 parts of the 50% acid solution
Step-by-step explanation:
(a) Let the system of equations be
(1) A × x + B × y = 0.4 × 30
and A + B = 30
where x = 25% acid solution and y = 50% acid solution
Simplifying, we get
A × 0.25 + B × 0.5 = 0.4 × 30 = 12
or (i)A + 2 × B = 48
and (ii) A + B = 30
b) See the attached graph
as the 25% acid solution is increasing the 50% acid solution also increases
c) From the equations
(i)A + 2 × B = 48
and (ii) A + B = 30
we get from equation (ii) A = 30 - B
Substituting for A in equation (i) we get
A + 2 × B = 48 ▶ 30 - B + 2 × B = 48
or 30 + B = 48 or B = 12
and A + B = 30 or A = 30 - B = 30 - 12 = 18
A = 18 and B = 12
ABD = ABC + CBD
So 6x + 27 + 7x - 9 = 96
Now we need to isolate x
13x + 18 = 96
13x = 88
x = 6
And then apply x to the angle we need to find ( CBD )
CBD = 6x + 27
CBD = 6(6) + 27
CBD = 36 + 27 = 63
Angle CBD = 63°
Answer:
The equation of the required line is: 2x + y = 8
Step-by-step explanation:
When a point on the line and the slope of the line are given, we use the slope - one - point form to determine the equation of the line.
Say, is the point passing through the line and the slope of the line is say, . Then the equation would be:
Here and slope, .
Therefore, the equation of the line becomes:
Rearranging we get:
which is the required equation of the line.