Answer:
The total cost of ordering 4 tickets is $43.
Step-by-step explanation:
Let
= number of tickets
The given expression to find total cost to order:

To find the total cost of ordering 4 tickets, simply substitute 4 for
in the expression, and solve:


Therefore, the total cost of ordering 4 tickets is $43.
_
You can check your work by setting the given expression equal to 43:

Subtract
from both sides of the equation:

Divide both sides of the equation by the coefficient of
, which is
:

This shows that the cost of ordering 4 tickets is in fact, $43.
Our solution is correct!
Answer:
5.5x + 1.5
Step-by-step explanation:
P = 2(l + w)
P = 2(1.25x + 3 + 3x - 1.5)
Sounds like rearranging to me:
P=2(a+b) -- expand brackets
P=2a+2b -- subtract 2a
P-2a=2b -- divide by 2
b=(P-2a)/2
length = 4 yards and width = 3.5 yards
let width be w then length is 2w - 3
area = w(2w - 3) = 14 (rearrange in standard form )
2w² - 3w - 14 = 0 ← in standard form
(2w - 7 )(w + 2 ) = 0 ← in factored form
equate each factor to zero and solve for w
2w - 7 = 0 ⇒ w = 3.5
w + 2 = 0 ⇒ w = - 2
but w > 0, hence w = 3.5
width = 3.5 yards and length = (2 × 3.5 ) - 3 = 4 yards