Answer:

Step-by-step explanation:
Given that,
A sequence 352,345,338.
First term = 352
Common difference = 345-352 = -7
We need to find the 37th term of the sequence.
The nth term of an AP is given by :

So, the 37th term of the sequence is 100.
Answer:
x = 3
y = 1
Step-by-step explanation:
9x - y = 26 ---------------(I)
9x + y = 28 ---------------(II)
9x - y = 26
9x = 26 + y
Substitute 9x = 26 + y in equation (II)
26 + y + y = 28 {add like terms}
26 + 2y = 28 {subtract 26 from both sides}
2y = 28 - 26
2y = 2 {divide both sides by 2}
y = 2/2
y = 1
Substitute y =1 in equation (I)
9x - 1 = 26
9x = 26 + 1
9x = 27
x = 27/9
x = 3
x = 3
y = 1
Answer:
75600
Step-by-step explanation:
We are given that a word MATHEMATICS
Total letters =11
M repeated 2 times
T repeated 2 times
A repeated 2 times
Total vowels=4
Let MTHMTCS=P
Total number of ways in which MTHMTCS can be arranged=
PAEAI
Total number of ways in which PAEAI can arranged=
Total number of arrangements when all consonant appear together=
Total number of arrangements when all consonant appear together=
By using formula ;
4x4=16. So think of it like this now..
3x-16=65
Add 16 in each side and you get 3x=81. Divide 3 with 81 and should be 27, or x=27.
Then you check it by putting in the #'s
3(27)-4(4)=65
81-16=65
65=65 ✔️