Answer:
Step-by-step explanation:
You would never buy a 10-pack, because two 5-packs cost less.
To buy 3 bars you need a single bar and a pair of single bars for £0.82 + £0.82+ £0.41 = £2.05
To buy 30 bars you need 3 pairs of 5-bar packs = 3×£5.75 = £17.25
To buy the remaining 5 bars you need one 5-bar pack = £3
cost = £2.05 + £17.25 + £3 = £22.30
To find conjecture about regular polygon, use the formula

Where, n = number of sides of the regular polygone
1) Triangle
n =3
So, Conjecture of the triangle =

= 120
2) Square
n =4
So, Conjecture of the square =

= 90
3) Pentagone
n = 5
So, Conjecture of the pentagon =

= 72
4) Hexagone
n = 6
So, Conjecture of the pentagon =

= 60.
Answer:

Step-by-step explanation:
We can write the following system of equations:

Adding both equations together, we isolate
and get:

Plugging
in any of the equations, we can solve for
:

Verify that the solution pair
works 
Therefore, the two numbers are
.
An explicit formula for a sequence allows you to find the value of any term in the sequence. A recursive formula for a sequence allows you to find the value of the nth term in the sequence if you know the value of the (n-1)th term in the sequence.
<u>Answer</u>
8√2
<u>Explanation</u>
Simply: 4√2 + 7√2 - 3√2
Let √2 = x
4√2 + 7√2 - 3√2 = 4x + 7x - 3x
= 11x - 3x
= 8x
Substituting x with √2
4√2 + 7√2 - 3√2 = 8√2