Answer:
-1/12
Step-by-step explanation:
The slopes of perpendicular lines are equivalent to -1.
When you graph the equation you notice that there is 2 vertical and 1 horizontal asymptote. or D
Answer: There are 120 different ways we can arrange reindeer.
Step-by-step explanation:
Since we have given that
Number of reindeer = 5
Number of them fly their sleigh = 4
We need to find the number of different ways we can arrange their reindeer .
For this we will use "Permutation":
here, n = 5
r = 4
So, it becomes,

Hence, there are 120 different ways we can arrange reindeer.
Answer:
3,000 divided 60 are the compatible numbers, and the estimate is 50.
Step-by-step explanation:
Compatible numbers can be described as numbers which are close in value to the actual numbers and can easily be added, subtracted, multiplied, or divided mentally.
From the question, 3,000 divided 60 are the compatible numbers that provide a better estimate for the number of departments that can get the bottles because 55 can be rounded up to 60.
The estimate will therefore be as follows:
Estimate = 3,000 / 60 = 50
Answer:
3 nickels and 5 quarters
Step-by-step explanation:
Let n = number of nickels
q = number of quarters
q = n+2
.25q + .05n = 1.40
Using the first equation and replacing q in the second equation
.25( n+2) + .05n = 1.40
Distribute
.25n+.50 +.05n = 1.40
Combine like terms
.30n +.5 = 1.40
Subtract .5 from each side
.3n +.5-.5 = 1.40-.4
.3n = .9
Divide by .3
.3n/.3 = .9/.3
n = 3
q = n+2
q=5