Make an algebraic expression for each plan.
For an instance, x represents the number of movies, and y represents the number of months
⇒ The expression for the digital movie plan is 3x
⇒ The expression for the DVD plan is 10y + 0.5x
A person rents movies in a month (that means the value of y equals 1), the expression of the DVD plan would be 10(1) + 0.5x = 10 + 0.5x
Find the value of x when the cost of both plan are the same
The two options will cost the same when the expression for digital movie is equal to the expression for DVD
the digital movie plan = the DVD plan
3x = 10 + 0.5x
Solve for x
3x - 0.5x = 10
2.5x = 10
x = 10/2.5
x = 4
The two options will cost the same, if the person rents 4 movies
Answer:
Step-by-step explanation:
a6=16
a5=12
a4=8
a3=4
a2=0
a1=-4
Answer:
25 nautical miles
Step-by-step explanation:
We need to find the rate. We can do so using the formula, distance = rate * time
d= rt
We know the distance and the time, so we need to solve for the rate
d/t = rate
d= 150 nautical miles
t = 6 hours
d/t = 150 nautical miles /6 hours
rate = 25 nautical miles per hour
So in 1 hour we can go 25 nautical miles
Answer:
h = 20 cm
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) *h
where b1 and b2 are the two bases
We are given a =400 and b1 =27 and b2 =13
400 = 1/2 (27+13) *h
400 = 1/2 (40) *h
400 = 20h
Divide each side by 20
400/20 = 20h/20
20 =h
