last year the cost of a season ticket for a rugby club £370. This year the cost of a season ticket for the club has been increas
1 answer:
Answer:
OR
Step-by-step explanation:
So first you find the difference between the new cost and the old cost:
450 - 370 = 80
So the increase was 80.
When you write it as a fraction you write the increase ( 80 ) over the starting cost ( 370 ).
Thus the answer becomes
But you can always reduce it to its lowest terms thus:
HOPE THIS HELPED
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Answer:
37
Step-by-step explanation:
The cosine of an angle is the length of the adjacent side, in this case x, divided by the length of the hypotenuse, in this case 85. So you can set up the following equation:
units
Hope this helps!
Answer:
- 30 days at location I
- 35 days at location II
Step-by-step explanation:
Let x and y represent days of operation of Location I and Location II, respectively. Then we want to minimize the objective function ...
650x +750y
subject to the constraints on drape production:
10x +20y ≥ 1000 . . . . . order for deluxe drapes
20x +50y ≥ 2100 . . . . . order for better drapes
13x +6y ≥ 600 . . . . . . . order for standard drapes
__
I find a graphical solution works well for this. The vertices of the feasible solution space are (x, y) = (0, 100), (30, 35), (80, 10), (105, 0). The vertex at which the cost is minimized is
(x, y) = (30, 35)
This schedule will produce exactly the required numbers of deluxe and standard drapes, and 2350 pairs of better drapes, 250 more than required.
_____
In the attached graph, we have reversed the inequalities so that the solution space (feasible region) is white, not triple-shaded. Minimizing the objective function means choosing the vertex of the feasible region so that the line representing the objective function is as close to the origin as possible.
Answer:
Given:
- adjacent: 4 cm
- hypotenuse: x cm
- angle: 45°
<u>using cosine rule:</u>