1. If the product of these integers is to be 1, then all of them must be either 1 or -1.
2. Since the product is positive (+1), it must be that there are an *even* number of negative ones (-1), if any.
3. If the sum were 0 it would mean that the number of +1's must equal the number of -1's. So that means there would have to be exactly 22/2=11 of each.
4. But if there were 11 of each, that means the number of -1's would be *odd* and there's no way the product could be +1 (as stated in 2 above).
Hence, the sum is never 0, if the product of 22 integers is equal +1.
False.
they are similar not exactly alike.
0.75 = 3/4 = 75%
0.07 = 7/100 = 7%
The ratio of x:y:z = 20:8:11
Total unit = 20+8+11 = 39
Value of 1 unit ratio = 78/39 = 2
So, the water in container X, 20(2) = 40 liters
Your answer is 40 liters
Answer:
$27
Step-by-step explanation:
In this question, we are asked to calculate how much spent on some number of students in a bookstore where books were being signed by an author. We proceed as follows:
To calculate the amount she budgeted, there are different approach we can take. We can calculate the amount she has to pay for the signing at the old price. Then, we calculate the amount of money she has to pay on discounting the fees. We then subtract the values to arrive at the total value she has spent.
Firstly, we calculate the total amount of money to be spent on the students based on his budget. He had budgeted 1.15, then the total amount budgeted would be 30 * 1.15 = $34.5
Now we are made to know that she spent 0.25 less. Thus, the total amount spent less would be 30 * 0.25 = $7.5
The actual amount thus spent is $34.5 - $7.5 = $27
He spent a total of $27 on 30 students
