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
Answer:
Step-by-step explanation:
In any "solve for" scenario, you identify what operations are performed on the variable of interest, then undo them in reverse order.
Here, the square root of d is multiplied by a constant. To undo these operations, we first divide by the constant. That gives ...
Then, we square both sides of the equation to undo the square root:
This matches choice C.
Step-by-step explanation:
The given equation is :
4(3x+2)=4(2x+3)+4x
Solving LHS, = 12x+8
Solving RHS, = 8x+12+4x
So,
12x+8 = 8x+12+4x
12x + 8 = 12x +12
12x cancel out from both sides, the given equation becomes not defined.
Answer:
we need the other set of of coordinates to find the slope and write it in slope-intercept form