Answer:
Infinite series equals 4/5
Step-by-step explanation:
Notice that the series can be written as a combination of two geometric series, that can be found independently:
The first one: 
is a geometric sequence of first term (
) "1" and common ratio (r) " 
", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by: 
The second one: 
is a geometric sequence of first term "1", and common ratio (r) " 
". Again, since the common ratio is smaller than one, we can find its infinite sum:
now we simply combine the results making sure we do the indicated difference: Infinite total sum= 
Formula
====
d = r * t
Givens
======
d = 2 3/4
t = 1 hour 15 minutes
r = ????
Calculations
==========
You need to convert the 15 minutes to hours.
1 hour = 60 minutes
x hour = 15 minutes
1/60 = x/15
x = 15/60
x = 0.25 hours
so the time = 1 hours + 0.25 hours
t = 1.25 hours
Now you need to do something with the distance.
3/4 mile = 0.75 of a mile
So the distance = 2 + 0.75 = 2.75 miles
Now you are ready for the answer.
d = r * t you are looking for r
2.75 = r * 1.25
r = 2.75/1.25
r = 2.2 miles / hour
Note you could do this with fractions.
2 3/4 = 11/4
1 1/4 = 5/4
r = 11/4 // 5/4 =11/5 = 2 1/5 which is the same thing as 2.2. If your calculator can handle fractions (those kind of calculators cost about 10 dollars in Canada. It should be 8 in the US) that might be the way to do this problem.
Answer:
11 is the root of 121 ........
Answer: y=3/2x
Step-by-step explanation:
First, to find the equation, we can figure out that the cost depends on how many tickets are bought. We can use cost as our y and # of tickets as our x.
An equation in slope intercept form is as follows:
y=mx+b
To get our slope, we must figure out the relationship between the cost and the number of tickets, or the y and the x.
We can use the slope formula, 
, to find the slope, m.
= 
Thus, the slope of the equation is 3/2, making our final equation be y=3/2x.
I would probably say 46 but I’m not entirely sure
