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1 answer:
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Answer:
19
Step-by-step explanation:
(4+3)2+5=
7(2)+5=
14+5=
19
Answer:
The general formula that can be used to find the required combinations for n flavor ice-cream.
For 10 ice-cream flavors
Step-by-step explanation:
Let V = Vanila, C = Chocolate, S = Strawberry, P = Pineapple, B = Berry
2 ice-cream flavor:
V, C
{V/V, V/C, C/C}
3 possible combinations
3 ice-cream flavor:
V, C, S
{V/V, V/C, V/S, C/S, C/C, S/S}
6 possible combinations
4 ice-cream flavor:
V, C, S, P
{V/V, V/C, V/S, V/P, C/S, C/P, S/P, C/C, S/S, P/P}
10 possible combinations
5 ice-cream flavor:
V, C, S, P, B
{V/V, V/C, V/S, V/P, V/B, C/S, C/P, C/B, S/P, S/B, P/B, C/C, S/S, P/P, B/B }
15 possible combinations
So we have a series of
3, 6, 10, 15...
This series is known as Triangular number series
1 + 2 = 3
1 + 2 + 3 = 6
1 + 2 + 3 + 4 = 10
1 + 2 + 3 + 4 + 5 = 15
The general formula for this series is
Using the above formula we can predict the number of 2-scoop combinations with 10 flavors.
Therefore, there are 55 different combinations of 2-scoop with 10 flavors.
Answer:
The fair price for the large container is<u><em> $12</em></u>
Step-by-step explanation:
In this question, we are tasked with calculating what would be the fair price for the large cylinder given the price for the small cylinder.
To calculate this, what we need to do firstly is to estimate the the volumes of both cylinders.
Mathematically, the volume of a cylinder can be calculated using the formula; V = π ××h
For the small cylinder, r = 3 inches and h = 10 inches
Thus = π ×
× 10 = 90π
For the large cylinder, r = 6 inches and h = 10 inches
Thus = π ×
× 10 = 360π
Now let us find the ratio of their volumes = 360π/90π = 4
Since the ratio of their volumes is 4, it can be fair to say that the large cylinder should cost 4 times the price of the small cylinder = 4 × $3 = $12