The correct algebraic expression is X ÷ 5 - 17 = 41
<h3>What is an algebraic expression?</h3>
An algebraic expression is a term that refers to a way of representing mathematical operations in which letters and numbers are combined, related to signs of the operations such as:
- Addition (+)
- Subtraction (-)
- Multiplication (×)
- Division (÷)
- Empowerment (
)
According to the above, we can infer that the correct algebraic expression would be:
In this algebraic expression the letter X represents a number that we do not know and we must find.
Learn more about algebraics in: brainly.com/question/953809
Here, AB ║ CD ; EF ⊥ AB
Number of 90 degree formed by the intersections of EF and two parallel lines AB and CD is 8
Hope this helps!
Answer:
6 swimmers in the first heat can be arranged in 1716 different ways.
Step-by-step explanation:
A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.
So to select 6 swimmers out of 13 contestants number of different ways
= ![^{13}C_{6}](https://tex.z-dn.net/?f=%5E%7B13%7DC_%7B6%7D)
= ![\frac{13!}{(6!)(13-6)!}](https://tex.z-dn.net/?f=%5Cfrac%7B13%21%7D%7B%286%21%29%2813-6%29%21%7D)
= ![\frac{13\times 12\times 11\times 10\times 9\times 8\times 7!}{6!\times 7!}](https://tex.z-dn.net/?f=%5Cfrac%7B13%5Ctimes%2012%5Ctimes%2011%5Ctimes%2010%5Ctimes%209%5Ctimes%208%5Ctimes%207%21%7D%7B6%21%5Ctimes%207%21%7D)
= ![\frac{13\times 12\times 11\times 10\times 9\times 8}{6\times 5\times 4\times 3\times 2\times 1}](https://tex.z-dn.net/?f=%5Cfrac%7B13%5Ctimes%2012%5Ctimes%2011%5Ctimes%2010%5Ctimes%209%5Ctimes%208%7D%7B6%5Ctimes%205%5Ctimes%204%5Ctimes%203%5Ctimes%202%5Ctimes%201%7D)
= ![\frac{1235520}{720}](https://tex.z-dn.net/?f=%5Cfrac%7B1235520%7D%7B720%7D)
= 1716
Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.