Answer:
15504 different groups
Step-by-step explanation:
We have a total of 20 people, and we want to know how many groups of 5 people we can make, where the order of the people inside the group doesn't matter, so we can solve this question calculating the combination of 20 choose 5.
The formula for combination is:
C(n, p) = n! / (p! * (n-p)!)
In this case, we have n = 20 and p = 5, so:
C(20, 5) = 20! / (5! * 15!) = 20*19*18*17*16 / (5*4*3*2) = 15504
So we have 15504 different groups.
4x divide 16 3x-4y it is the answer
This problem is simply asking us to add the weights which are presented as fractions. You can easily get the answer if you input them directly in a calculator. But I think the challenge here is to manually add fractions.
Let's add the two 1/4 lb weights because it is easier for they have a common denominator. Just simply add the numerators.
1/4 + 1/4 = 2/4
Then, add with this the fraction part of 2 1/5.
2/4 + 1/5 = ?
The least common denominator is 4*5 = 20. Then divide 20 with each denominator and multiply to their respective numerator.
2/4 + 1/5 = [(20/4 * 2) + (20/5 *1)]/20 = 14/20
14/20 is simplified to 7/10. Then add the whole number 2. <em>Therefore, the sum of all weights is 2 7/10 pounds.</em>
Answer:
120
Step-by-step explanation:
The volume of the tank is 1570 cubic meters
<h3>How to determine the volume</h3>
The formula for determining the volume of a cylinder is expressed as;
Volume = πr²h
Where;
- radius is 10 meters
- height is 5 meters
- pi = 3. 14
Now, let's substitute into the formula;
Volume = 3. 14 × 10² × 5
Volume = 3. 14 × 100 × 5
Multiply through
Volume = 1570 cubic meters
Thus, the volume of the tank is 1570 cubic meters
Learn more about volume here:
brainly.com/question/1972490
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