Answer: 45,000.
Step-by-step explanation:
The equation of inverse variation is given by:-
, where k is the constant of proportionality.
Given: After owning the car for 3 years, its value is $15,000. After owning the car for 5 years, its value is $9,000.
Here,
Then, 
or 
[answer is same in both cases.]
Hence, the constant of proportionality in this inverse variation is 45,000.
The first thing you should do is verify that the ordered pairs satisfy equality. If so, then that pair ordered belongs to the line. Let us begin:
3x-4y = 9
(-1.3)
3 (-1) -4 (3) = 9
-3-12 = 9
-15 = 9 (Does not belong)
(2/3, -7 / 4)
3 (2/3) -4 (-7/4) = 9
6 + 28 = 9
34 = 9 (Does not belong)
(-5, -6)
3 (-5) -4 (-6) = 9
-15 + 24 = 9
9 = 9 (Yes, it belongs)
(1, -3 / 2)
3 (1) -4 (-3/2) = 9
3 + 6 = 9
9 = 9 (Yes, it belongs)
answer
ordered pairs are
(-5, -6)
(1, -3 / 2)
Answer:
8 : 24 P.M
Step-by-step explanation:
Data provided in the question:
On December 1 bright star Procyon will just be rising on the eastern horizon at 10 P.M
Now,
we know that Stars rise 4 minutes earlier each night
Therefore,
24 days later i.e after 24 nights the total early time
= 24 days × 4 minutes per day
= 96 minutes
or
= 1 hour 36 minutes early
Hence,
on Christmas Day the star will rise at 1 hour 36 minutes early than 10 P.M
= 8 : 24 P.M
Answer:
p = 235, q = 1000
Step-by-step explanation:
The mean weight of five complete computer stations is 167.2 pounds.
The weights of four of the computer stations are 158.4 pounds, 162.8 pounds, 165 pounds, and 178.2 pounds.
We have to determine the weight of fifth computer station.
Let the weight of fifth computer station be 'x' pounds.
Mean is calculated by sum of all the observations divided by the total number of observations.
So, 
x= 171.6 pounds
The weight of fifth computer station is 171.6 pounds.
