Given:
The sequence is defined as "triple v, then subtract 7 from the result".
To find:
The expression for the given sequence.
Solution:
Triple v means 3 times of v, i.e., 3v.
So, the result is 3v.
Then subtract 7 from the result. So, the expression for the sequence is

Therefore, the required expression is
.
Answer:
F = 25
Step-by-step explanation:
Euler's formula for polyhedra states that
F + V - E = 2
Here V = 11, E = 34, thus
F + 11 - 34 = 2
F - 23 = 2 ( add 23 to both sides )
F = 25
X=pounds of coffee bean ($0.20 per pound)
y=pounds of coffee bean ($0.68 per pound )
We can suggest this system of equations:
x+y=120
(0.20x+0.68 y) / (x+y)=0.54 ⇒ (0.2x+0.68y)=0.54(x+y)
We can solve this system by substitution method.
x+y=120 ⇒ y=120-x
0.2x+0.68(120-x)=0.54[x+(120-x)]
0.2x+81.6-0.68x=0.54(120)
-0.48x+81.6=64.8
-0.48x=64.8-81.6
-0.48x=-16.8
x=-16.8/-0.48
x=35
y=120-x=120-35=85
Answer: the coffee mixture has 35 pounds of coffee beans sold to $0.2 a pound, and 85 pounds of coffee beans sold to $0.68 a pound, the solutions is reasonable because the price of a coffee mixture ($0.54 a pound) is greater than $0.2 and smaller than $0.68.
Answer:
The expression that represents hourly rate Brendan earns working on a holiday is
.
Step-by-step explanation:
Given:
Regular hourly rate = d
Percent extra Money earned on holidays = 25% more
We need to find expression represent the hourly rate Brendan earns working on a holiday.
Solution:
Extra money earned on holidays can be calculated by Percent extra Money earned on holidays multiplied by Regular hourly rate.
framing in equation form we get;
Extra money earned on holidays = 
Now we will find hourly rate Brendan earns working on a holiday.
hourly rate Brendan earns working on a holiday can be calculated by sum of Regular hourly rate plus Extra money earned on holidays.
framing in equation form we get;
hourly rate Brendan earns working on a holiday = 
Hence The expression that represents hourly rate Brendan earns working on a holiday is
.
1495-400=1095
1095=15x
x=73
X: number of seats