For a shape to be a square all the angles need to be 90 degrees.
Angle B = 3x+60 = 90
3x +60 = 90
Subtract 60 from each side:
3x = 30
Divide both sides by 3:
x = 30 /3
X = 10
Let "c" and "q" represent the numbers of bottles of Classic and Quantum that should be produced each day to maximize profit. The problem conditions give rise to 3 inequalities:
.. 0.500c +0.550q ≤ 100 . . . . . . . liters of water
.. 0.600c +0.200q ≤ 100 . . . . . . . kg of sugar
.. 0.1c +0.2q ≤ 32 . . . . . . . . . . . . . grams of caramel
These can be plotted on a graph to find the feasible region where c and q satisfy all constraints. You find that the caramel constraint does not come into play. The graph below has c plotted on the horizontal axis and q plotted on the vertical axis.
Optimum production occurs near c = 152.17 and q = 43.48. Examination of profit figures for solutions near those values reveals the best result for (c, q) = (153, 41). Those levels of production give a profit of 6899p per day.
To maximize profit, Cartesian Cola should produce each day
.. 153 bottles of Classic
.. 41 bottles of Quantum per day.
Profit will be 6899p per day.
_____
The problem statement gives no clue as to the currency equivalent of 100p.
Answer:
200 ml
Step-by-step explanation:
It's proportions basically.
frst off, 2% of 100 ml is 2 ml, so the 100 ml solution has 2 ml of Minoxidil.
Eventually we want 6/100 to be the porportion. so the total is going to be 100 (from the initial 100 ml) plus however much is needed x. And we want the amount of Minoxidil to be 2 + 8 percent of x. so this gets us the equation
6/100 = (2 + .08x)/(100+x) Then we solve
(100 + x) 6/100 = 2 + .08x
(100 + x) 6 = 200 + 8x
600 + 6x = 200 + 8x
400 = 2x
x = 200
so they should add 200 ml
You can check too. there is 100 + 200 ml of solution total and 2 + 16 ml of Minoxidil so that's 18/300 = 6/100
The sequence is arithmetic because the term is being multiplied by 5 each time