Answer:
Part A. C=9
Part B. (w+3)² =139
Part C. w = 8.8 inch
Step-by-step explanation:
Given from the question length of the the picture = (2w+12) inches
Width of the picture = w inches
Area of the picture = 260 inch²
Part A. Area of the picture with the given dimensions= w×(2w+12)
Or w(2w+12) = 260
2w²+12w = 260
2(w²+6w) = 2×(130)
w²+6w = 130
Or w²+6w +9 = 130+9 ⇒ which is in the form of w²+6w+c = 130+c
Therefore for c = 9 we will get a perfect square trinomial.
Part B. As we have seen the equation in part A.
As required equation will be (w+3)²=139
Part C. Since (w+3)² = 139
Then by taking under root on both the sides of the equation
(w+3) =√139 = 11.8
(w+3)-3=11.8-3
w = 8.8 inch
Let

the price of a ticket
Let

the cost to put on the show
Formula:
(profit) = (ticket price) * (number of people) - (cost to put on show)
We have two equations here:


Solve:

⇒

⇒

⇒

⇒

So the price of a ticket is $5, and the cost to put on the show is $100.
Answer:
20x + 17 = 77 --> Addition Property of Equality:
You are adding (Addition Property) 4x to both sides of the equal sign (Equality).
20x = 60 --> Subtraction Property of Equality:
You subtracted (Subtraction Property) 17 from both sides of the equal sign (Equality).
x = 3 --> Division Property of Equality:
You divided (Division Property) 20 from both sides of the equal sign (Equality) to completely isolate the variable x.
~
Answer:
11/19
Step-by-step explanation:
Firstly, we need to know the total number of instructors. This is equal to 7+5+4+3 = 19 instructors.
The probability of selecting a science instructor is 4/19
The probability of selecting a math instructor is 7/19
The probability of selecting either a science or a maths instructor is 4/19 + 7/19 = 11/19