Answer:The new cost per person= $19 when there are 12 people
Step-by-step explanation:
Step 1
Let Number of people be rep as N
And Cost per person = C
such that the relationship of number of people which varies inversely with the cost per person is given as
N∝ 1/C
Introducing constant of proportionality, k, we have that
N= K/C
such that when there were 4 people the cost per person was $57, K would be
N= K/C
4 = K /57
k= 57 X 4
k=228
Step 2
Therefore If the number of people changed to 12, cost per person would be
N= K/C
12= 228 / C
C= 228/12
C= 19
The new cost per person= $19 when there are 12 people
Answer: $18
Step-by-step explanation:
Let x= Pretax price of the meal.
Given: Sales tax = 8%
Tip percent = 20%
As per given ,
Amount spent = ( Pretax price) + (Sales tax ) of (Pretax price) + (Tip percent)of (Pretax price)
= x+ 8% of x + 20% of x
= x +0.08+0.20x
= 1.28x
∵ Amount spent = $23.04
So,

Hence, the pretax price of the meal= $18.
Answer:
101 students
since a whole circle is 360 degrees just subtract 259 from 360
Answer:



Step-by-step explanation:
The question is unreadable, however the real polynomial is:
The polynomial fraction is:

And the decomposition is:

The solution is as follows:

Substitute the expression for P

Expand the numerator of the polynomial

Take LCM

Cancel out both denominators

Represent f(x) as A and g(x) as B

Open bracket



By comparison:
---- (1)
---- (2)
Make B the subject in (1)

Substitute
in (2)

Multiply through by 2



Collect Like Terms




Recall that:





A = -1 and B = 6
---- (1)
---- (2)
So:




And the decomposition is:
