The two numbers in question obtained by creating a system of equations are 56 and 36
Let the two numbers be : a and b
From (2):
Substitute (3) into (1)
a + b = 92
20 + b + b = 92
20 + 2b = 92
2b = 92 - 20
2b = 72
b = 72/2
b = 36
From (3) :
a = 20 + 36
a = 56
Therefore, the two numbers are 56 and 36
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Answer:
Step-by-step explanation:
Given : The jar contains 5 Snickers, 2 Butterfingers, 4 Almond Joys and 3 Milky Ways.
Total candies in the jar =
Provability that firsts student select snickers =
Now total candies in jar = 14-1=13
Total snickers remained =5-1=4
Probability that the second student also select snickers=
Then, the probability that the first student picks a Snickers and then the second student also picks a Snickers :-
Hence, the required probability =
4, 9, 14, 19, 24, 29.....
A)4+5n;504
B)5n-1; 499
C) 5n; 500
D) 4n+5; 405
Answer:
Option B is correct
; 499
Step-by-step explanation:
The nth term for the arithmetic sequence is given by:
....[1]
where,
is the first term
d is the common difference of two successive terms
n is the number of terms.
As per the statement:
4, 9, 14, 19, 24, 29.....
This is a arithmetic sequence.
Here, and d =5
Since,
9-4 = 5,
14-9 =5,
19-14 = 5 and son on....
Substitute the given values in [1] we have;
⇒
⇒
We have to find the 100th term in the given sequence.
For n= 100
⇒
Therefore, an expression to describe a rule of the sequence is, and the 100th term in the sequence is 499