Answer:
The value of A is 5
Step-by-step explanation:
- The number is divisible by 3 if the sum of its digits is a number
divisible by 3
- Ex: 126 is divisible by 3 because the sum of its digits = 1 + 2 + 3 = 6
and 6 is divisible by 3
- The number is divisible by 5 if its ones digit is zero or 5
- Ex: 675 is divisible by 5 because its ones digit is 5
890 is divisible by 5 because its ones digit is 0
- We are looking for the value of A in the 4-digit number 3A5A which
makes the number divisible by both 3 and 5
∵ A is in the ones position
∴ A must be zero or 5
- Let us try A = 0
∵ A = 0
∴ The number is 3050
∵ The sum of the digits of the number = 3 + 0 + 5 + 0 = 8
∵ 8 is not divisible by 3
∴ 3050 is not divisible by both 3 and 5
∴ A can not be zero
- Let us try A = 5
∵ A = 5
∴ The number is 3555
∵ The sum of the digits of the number = 3 + 5 + 5 + 5 = 18
∵ 18 is divisible by 3
∴ 3555 is divisible by both 3 and 5
∴ A must be equal 5
* <em>The value of A is 5</em>
Answer:
2 students said only fall
Step-by-step explanation:
Given:
Total number of students = 25
Number of students who like fall season (F) = 12
Number of students who like summer season (S) = 18
Number of students who like both fall and summer season 
= 10
To find:
Number of students who like only fall season
Solution:
A set is a well defined collection of objects. A universal set is the set of which all other sets are subsets. It is denoted by U.
According to the venn diagram,
n(only F) = 
So, 2 students said only fall.
Answer:
Determinant = -12
Step-by-step explanation:
rewrite the system as
-2 = 2x - 3y + 0z
0 = 0x + y - 2z
1 = -3x + 2y - z
then the coefficient matrix is
{ [2, -3, 0]
[0, 1, -2]
[-3, 2, -1] }
to find determinant
{ [2, -3, 0] , 2, -3
[0, 1, -2] , 0, 1
[-3, 2, -1] }, -3, 2
determinant = 2*1*-1 + (-3 * -2 * -3) + (0*0*2) - 0 - (2*-2*2) - 0
determinant = -2 - 18 + 0 - 0 + 8 = -12
Answer:
9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park
Step-by-step explanation:
67+79+80+190= 416
Each number has been rounded
