Answer: d=5
Step-by-step explanation:
Arithmetic progression
An=a1+d(n-1)
An= nth term
A1= first term
D= common difference
N= nth position
We are given the 4th and 7th terms
For 4th term,n=4
A4=a1+d(4-1)
A4= 16
16= a1+d(4-1)
16= a1+3d........equation 1
For the 7th term,n=7
A7=a1+d(7-1)
A7= 31
31=a1+6d......equation 2
Bring them together
16=a1+3d
31=a1+6d
Subtract equation 1 from 2
So we have
15=3d
D=15/3
D=5
Therefore, the common difference is 5
Answer:
Step-by-step explanation:
distance = rate * time.( d = rt).....rate is speed....but we are looking for rate, so let me rearrange this formula...... r = d / t
r = d / t
distance (d) = 40m
time (t) = 10 seconds
so the rate (speed) can be found thru division....
r = 40 / 10 = 4m per second
so 40 divided by 10 is ur answer <===
Answer:
B. 20
Step-by-step explanation:
First, 20% of 20 is 4.
36 decreased by 4 (36-4) is 32.
The equation is N (160%)=32 or 1.6n=32
160% because it was already 100%, and its increased by 60% (100+60)
Divide both sides by 1.6.
You get n=20
I hope this helps!