9514 1404 393
Answer:
x = 8
y = 4sqrt(3)
Step-by-step explanation:
Your knowledge of special triangles tells you the side ratios of a 30°-60°-90° right triangle are ...
1 : √3 : 2 = 4 : y : x
Multiplying the reduced ratios by 4 gives ...
4 : y : x = 4 : 4√3 : 8
That is, ...
x = 8
y = 4√3
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.
<h2>
Greetings!</h2>
Answer:
{x | x > -4}
Step-by-step explanation:
The direction of the < or > sign only changes when numbers are multiplied or divided by negatives.
Because to simplify 9x > -36 you only need to divide by 9, the sign stays the same and the numbers are simply divided:

x > -4
So the solutuon set would be:
<h3>{x | x > -4}</h3>
<h2>Hope this helps!</h2>
Answer:
She will have 142 watermelons
Step-by-step explanation:
First let's put our ratio
10 : 71
Since our lemons are now 20 instead of 10 we will divide 20 by 10 to see how many time we multiplied it by.

which equals 2
To find our water melon we will multiply it by 2

which equals 142
She will have 142 watermelons
Answer:
B
Step-by-step explanation:
52.78×6.5%=3.43
52.78×18%=9.50
52.78+3.43+9.50=65.71