Answer:
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Answer:
2/3
Step-by-step explanation:
1 1/6 - 1/2
Get a common denominator of 6
1 1/6 - 1/2*3/3
1 1/6 - 3/6
Borrow 1 from the 1 in the form of 6/6
6/6 + 1/6 - 3/6
7/6 - 3/6
4/6
Reduce by dividing the top and bottom by 2
2/3
Answer:
No
Step-by-step explanation:
Based on the table, it would not have been from a linear function. To have a linear function, the x and y values would have to be increasing/decreasing at a constant rate.
This is the change from the first (x, y) pair to the second. Now, let's see if the next has the same change:
-7+4=-3
4-3=1
-3+4=1
3-2=1
Now, let's check the last one:
1+6=7
2-1=1
The y value is still changing by -1, but the x value has been increased by a different amount, therefore it is NOT a linear function.
Answer:
Distance between B and C = 
Step-by-step explanation:
Let the time taken to reach from station A to B be x hr
Let the time taken to reach from station B to C be y hr
Given total time from station A to C be 6 hr
∴ x + y = 6
⇒ y = 6 - x → (1)
Also total distance given is 285 miles
As 
∴ distance travelled between station A and B
=
distance travelled between station B and station C
=
So, 40x + 55y = 285
⇒ 40x + 55(6 -x) = 285 (From 1)
=> 40x + 330 - 55x = 285
=> -15x = 285 - 330
=> -15x = -45 ⇒ x=3
gives y = 6-3 = 3 hours
Distance between B and C = 
The first term is 2 and the 20th term is 1048576 .
<u>Step-by-step explanation:</u>
Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:
We know that Sum of a GP is :
⇒
So ,Sum of first 12 terms is :
⇒ 
⇒ 
⇒ 
⇒ 
Now , nth term of a GP is
⇒ 
So , 20th term is :
⇒ 
⇒ 
⇒ 
Therefore , the first term is 2 and the 20th term is 1048576 .