Find the number of different ways that an instructor can choose 6 students from a class of 25 students for a field trip.

Mathematics

1 answer:

lilavasa [31]3 years ago

6 0

Answer:

177100

Step-by-step explanation:

I just used the combinations formula.

c(n,r) = (n over r) = n over (r(n-r)

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One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 500,

Likurg_2 [28]

<span>Let the first number be x.
Then the second number is 3x.
Then the third number is (x+100).
Sum of the numbers=500

x+3x+(x+100)=500</span>
<span>4x+(x+100)-500=0
</span><span>5x=400</span>
<span>x=80
</span><span>The first number is 80.
The second number is 240.
The third number is 180.

We can check by adding all three of those numbers together: 80+240+180 = 500
</span>
Hope this helps! If you have any questions just ask!

8 0

3 years ago

Please help. I need this answer, thanks if you answered. Also please be correct

-Dominant- [34]

The correct answer is 5/7 and 5/4.

We have given that the expression

$a. \frac{2}{7}+\frac{3}{7}$

$b. 2\times \frac{1}{4} +\frac{3}{4}$

<h3>What is the dividando and componendo?</h3>

Components and dividend is a theorem on proportions that allows for a quick way to perform calculations and reduce the number of expansions needed. It is particularly useful when dealing with equations involving fractions or rational functions in mathematical Olympiads, especially when you see fractions.

We have to determine the value of the given expression,

$=\frac{2}{7}+\frac{3}{7} \\=\frac{5}{7}$