Answer:
12
Step-by-step explanation:
if you divide 156 students into 13 cabins you divide it into equal groups, once you divide all of it to equal groups you get 12 students in each cabin.
Answer:
X=3
Step-by-step explanation:
Group like terms
You would have to divide and either get a remainder or a decimal
Answer:
a) n<1 and n>5
b) 0 < n < -4
c) n > 2 and n < -2
Step-by-step explanation:
The signal is given by x[n] = 0 for n < -1 and n > 3
The problem asks us to determine the values of n for which it's guaranteed to be zero.
a) x[n-2]
We know that n -2 must be less than -1 or greater than 3.
Therefore we're going to write down our inequalities and solve for n
Therefore for n<1 and n>5 x [n-2] will be zero
b) x [n+ 3]
Similarly, n + 3 must be less than -1 or greater than 3
Therefore for n< -4 and n>0, in other words, for 0 < n < -4 x[n-2] will be zero
c)x [-n + 1]
Similarly, -n+1 must be less than -1 or greater than 3
Therefore, for n > 2 and n < -2 x[-n+1] will be zero
Answer: 96 adult tickets were sold that day.
Step-by-step explanation:
Let x represent the number of children tickets that were sold at the movie theatre.
Let y represent the number of adult tickets that were sold at the movie theatre.
A total of 163 tickets were sold on Tuesday. This means that
x + y = 163
child admission is $5.70 and adult admission is $9.00. The total sales made on Tuesday was $1245.90. It means that
5.7x + 9y = 1245.90 - - - - - - - - 1
Substituting x = 163 - y into equation 1, it becomes
5.7(163 - y) + 9y = 1245.90
929.1 - 5.7y + 9y = 1245.90
- 5.7y + 9y = 1245.90 - 929.1
3.3y = 316.8
y = 316.8/3.3
y = 96
x = 163 - y = 163 - 96
x = 67
