The amount he should sell for one bottle of the fizzy juice to make the 60% profit is 22 Penny.
<h3>Cost of each juice</h3>
Orange : Lemonade
3 : 5
After buying 2 liters of orange juice and 3 liters of lemonade, cost of each;
Increase the ratio to form divisible by 2 and 3; (L.C.M of 2 and 3 = 6)
(3 x 6L) : (5 x 6L)
18L : 30L
total fizzy juice = 18L + 30L = 48 liters
bottle of orange = (18 L ÷ 2 L) = 9 bottles
bottle of lemonade = (30 L ÷ 3L ) = 10 bottles
cost of orange = 9 x £1.20 = £10.8
cost of lemonade = 10 x £1.50 = £150
Total cost = £10.8 + £150 = £25.80 = 2580 P
<h3>Total bottles that will make 48 liters fizzy juice</h3>
250 mL = 0.25 L
0.25L(n) = 48 L
n = 48/0.25
n = 192 bottles
<h3>Cost of each bottle in Penny</h3>
cost = 2580 P/192
cost = 13.44 P
<h3>Amount each bottle should be sold to make a profit of 60%</h3>
A = 100%(initial cost) + 60%(initial cost)
A = 160%(initial cost)
A = 1.6(initial cost)
A = 1.6 x 13.44 P
A = 21.5 P ≈ 22 P
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B will be your best answer
The amount of points increase ~20 points each hour
just look at the point placements, and the amount each point is worth
also note that the bottom is by half hours, not hours
hope this helps
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
The law of sines tells you ...
sin(x)/15 = sin(27°)/11
sin(x) = (15/11)sin(27°) . . . . . multiply by 15
x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°
x ≈ 38.2°
_____
<em>Additional comment</em>
In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.
Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.
The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.
Answer:
75%.
Step-by-step explanation:
In total, there are 3 gnarly boards in the first shop and 1 gnarly board in the second. We know that he has selected one gnarly board out of the 3 + 1 = 4 existing boards.
The probability the board came from the first shop is 3 / 4 = 0.75 = 75%.
Hope this helps!
