Answer:
29 / 37
Step-by-step explanation:
The distance between a point (p, q) and a line ax + by + c = 0 is:
d = | ap + bq + c | / √(a² + b²)
Here, a = 12, b = 35, c = 5, p = 2, and q = 0.
d = | (12)(2) + (35)(0) + 5 | / √(12² + 35²)
d = 29 / 37
If 5/6 of her collection is hip-hop, then 1/6 of her collection is not hip-hop. So 1/4 of the remaining music is country so 1/6 times 1/4 is 1/24.
Answer:
For 36 movies the cost of both the plans is same.
Step-by-step explanation:
Let us assume foe m movies, both the plans cost same.
Now, PLAN A:
Annual Fee = $45
Cost per movie = $2.50
⇒The cost of watching m movies = m x (Cost of 1 movie)
= m x ($2.50) = 2.5 m
So, the total cost of Plan A = Annual Fee + Cost of m moves
= 45 + 2.50 m
PLAN B:
Cost per movie = $3.75
⇒The cost of watching m movies = m x (Cost of 1 movie)
= m x ($3.75) = 3.75 m
ACCORDING TO QUESTION:
for m movies, Cost of plan A = Cost of plan B
⇒45 + 2.50 m = 3.75 m
or, 3.75 m - 2.5 m = 45
or, m = 45/1.25 = 36
or, m = 36
Hence, for 36 movies the cost of both the plans is same.
Answer:
the tip amount is $12
Step-by-step explanation:
The computation of the tip amount is shown below:
But before that rounded the dinner bill to the nearest ten dollars i.e. $80
Now the tip amount is
= Dinner bill × tip percentage
= $80 × 15%
= $12
Hence, the tip amount is $12
