Answer:
The speeds of the cars is: 0.625 miles/minute
Step-by-step explanation:
We use systems of equations in two variables to solve this problem.
Recall that the definition of speed (v) is the quotient of the distance traveled divided the time it took :
. Notice as well that the speed of both cars is the same, but their times are different because they covered different distances. So if we find the distances they covered, we can easily find what their speed was.
Writing the velocity equation for car A (which reached its destination in 24 minutes) is:

Now we write a similar equation for car B which travels 5 miles further than car A and does it in 32 minutes:

Now we solve for
in this last equation and make the substitution in the equation for car A:

So this is the speed of both cars: 0.625 miles/minute
Answer:
I can't help you, it doesn't indicate what you need
Answer: An = 36 + 2(n - 1)
Step-by-step explanation:
If the height of the tree grows by 2 inches every year, then the height of the tree is increasing in arithmetic progression. The The formula for determining the nth term of an arithmetic sequence is expressed as
An = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 36 inches
d = 2 inches
Therefore, the explicit rule representing this situation is
An = 36 + 2(n - 1)
Answer:
72
Step-by-step explanation:
The greatest number in this set is 83
The smallest number is 11
We subtract the greatest from the smallest number in a set to find the range
83-11=72
Answer:
3rd one
Step-by-step explanation: