Choosing 4 men from seven can be done in 7C4 = 35 ways
(There are 7 to choose from then 6 and 5 and 4 = 7 x 6 x 5 x 4
but we don’t want them in order so we need to divide by 4! = 4 x 3 x 2 x 1)
Similarly choosing 4 women from 11 can be done in 11C4 = 330 ways.
Total number of ways to choose 4 men and 4 women = 35 x 330 = 11550
Answer:i think its 0
Step-by-step explanation:
Answer:
![\boxed{ \bold{ \huge{ \boxed{ \sf{x = - 10}}}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Chuge%7B%20%5Cboxed%7B%20%5Csf%7Bx%20%3D%20%20-%2010%7D%7D%7D%7D%7D)
Step-by-step explanation:
![\sf{ \frac{5}{6} = \frac{x - 10}{3x + 6} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cfrac%7B5%7D%7B6%7D%20%20%3D%20%20%5Cfrac%7Bx%20-%2010%7D%7B3x%20%2B%206%7D%20%7D)
Apply cross product property
⇒![\sf{5(3x + 6) = 6( x - 10)}](https://tex.z-dn.net/?f=%20%5Csf%7B5%283x%20%2B%206%29%20%3D%206%28%20x%20-%2010%29%7D)
Distribute 5 through the parentheses
⇒![\sf{15x + 30 = 6( x - 10)}](https://tex.z-dn.net/?f=%20%5Csf%7B15x%20%2B%2030%20%3D%206%28%20x%20-%2010%29%7D)
Distribute 6 through the parentheses
⇒![\sf{15x + 30 = 6x - 60}](https://tex.z-dn.net/?f=%20%5Csf%7B15x%20%2B%2030%20%3D%206x%20-%2060%7D)
Move 6x to left hand side and change it's sign
⇒![\sf{15x - 6x + 30 = - 60}](https://tex.z-dn.net/?f=%20%5Csf%7B15x%20-%206x%20%20%2B%2030%20%3D%20%20-%2060%7D)
Collect like terms
⇒![\sf{9x + 30 = - 60}](https://tex.z-dn.net/?f=%20%5Csf%7B9x%20%2B%2030%20%3D%20%20-%2060%7D)
Move 30 to right hand side and change it's sign
⇒![\sf{9x = - 60 - 30}](https://tex.z-dn.net/?f=%20%5Csf%7B9x%20%3D%20%20-%2060%20-%2030%7D)
Calculate
⇒![\sf{9x = - 90}](https://tex.z-dn.net/?f=%20%5Csf%7B9x%20%3D%20%20-%2090%7D)
Divide both sides of the equation by 9
⇒![\sf{ \frac{9x}{9} = \frac{ - 90}{9} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cfrac%7B9x%7D%7B9%7D%20%20%3D%20%20%20%5Cfrac%7B%20-%2090%7D%7B9%7D%20%7D)
Calculate
⇒![\sf{x = - 10}](https://tex.z-dn.net/?f=%20%5Csf%7Bx%20%3D%20%20-%2010%7D)
Hope I helped!
Best regards!!
Hmm they're both even numbers so maybe we can start by cutting each number in half.
![\rm \dfrac{18}{48}=\dfrac{9\cdot2}{24\cdot2}=\dfrac{9}{24}](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B18%7D%7B48%7D%3D%5Cdfrac%7B9%5Ccdot2%7D%7B24%5Ccdot2%7D%3D%5Cdfrac%7B9%7D%7B24%7D)
18 and 48 had 2 as a common factor.
So factoring a 2 out of each number was the same as cutting each number in half. Try to do something similar with the 9 and 24. They each have something in common.
The answer is the option A, which is: A. Equilateral triangles.
The explanation for this answer is shown below:
By definition, a tetrahedron is a solid in three dimensions that has: six sides, four vertices and four triangular faces. These faces are equilateral triangles, which means that all the sides are equal and all the interior angles measure
degrees.
The tetrahedron is also called "triangular pyramid".