Answer:
Let x be the discounting price of a surfing lessons per person
Let y be the discounted price of a surfing lessons per person
The cost of taking a surfing lesson and go parasailing is $130
x + y = 130--------------(i)
25 people take
Surfing lessons, and 30 people go parasailing and a total of $3,650 is collected
25x + 30y = 3650--------------(ii)
We solve for y using equ (i):
y = 130 - x ------------(iii)
Substitute equ (iii) to equ (ii) and solve for x
25x + 30(130 - x) = 3650
25x + 390 - 30x = 3650
-5x = -250
-x = 50
We solve for y using equ (iii):
y = 130 - x
y = 130 - 50
y = 80
So, the discounted price to take a surfing lesson is $50 and the discounted price to go parasailing is $80
5 = 0.05w
5 / 0.05 = w
100 = w........5 is 5% of 100
Answer:

Step-by-step explanation:
The question to be solved is the following :
Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if
. Recall that given two vectors a,b a⊥ b if and only if
where
is the dot product defined in
. Suposse that
. We want to find γ such that
. Given that the dot product can be distributed and that it is linear, the following equation is obtained

Recall that
are both real numbers, so by solving the value of γ, we get that

By construction, this γ is unique if
, since if there was a
such that
, then

She is wrong because she did the square root of 25 multiplied by 2, she should have just done the square root of 50.
For the second part the square root of 50 is 7.07 which rounding would equal 7.1.
Hope this helps.(ノ◕ヮ◕)ノ*:・゚✧