Answer:
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.
Step-by-step explanation:
Answer:
The number of ways is 26,400 ways
Step-by-step explanation:
Given;
total number of men, M = 10
total number of women, W = 12
number of committees to be formed = 6
If there must be equal gender, then it must consist of 3 men and 3 women.
![The \ number \ of \ ways = 10C_3 \times 12C_3\\\\The \ number \ of \ ways =\frac{10!}{3!7!} \times \frac{12!}{3!9!} \\\\T he \ number \ of \ ways = 120 \times 220 = 26,400 \ ways](https://tex.z-dn.net/?f=The%20%5C%20number%20%5C%20of%20%5C%20ways%20%3D%2010C_3%20%5Ctimes%2012C_3%5C%5C%5C%5CThe%20%5C%20number%20%5C%20of%20%5C%20ways%20%3D%5Cfrac%7B10%21%7D%7B3%217%21%7D%20%5Ctimes%20%5Cfrac%7B12%21%7D%7B3%219%21%7D%20%5C%5C%5C%5CT%20he%20%5C%20number%20%5C%20of%20%5C%20ways%20%20%3D%20120%20%5Ctimes%20220%20%3D%2026%2C400%20%5C%20ways)
Therefore, the number of ways is 26,400 ways
Answer:
i think the answer is 67.5
Answer:
28 questions answered.
Step-by-step explanation:
40(2/5) is 16 questions.
40-16 is 24 questions left.
24(.5) is 12 questions.
16+12 gets you 28 questions.
Answer:
![x = 15](https://tex.z-dn.net/?f=x%20%3D%20%2015)
![y = 25](https://tex.z-dn.net/?f=y%20%3D%20%2025)
Step-by-step explanation:
Given
See attachment for MNPQ and RSTU
Required
Find x and y
To solve this question, we make use of equivalent ratios of corresponding side lengths.
The ratio of corresponding sides are:
![MN : RS](https://tex.z-dn.net/?f=MN%20%3A%20RS)
![NP : ST](https://tex.z-dn.net/?f=NP%20%3A%20ST)
![PQ : TU](https://tex.z-dn.net/?f=PQ%20%3A%20TU)
![MQ : RU](https://tex.z-dn.net/?f=MQ%20%3A%20RU)
From the attachment, we have:
![MN : RS \to 18 : 30](https://tex.z-dn.net/?f=MN%20%3A%20RS%20%5Cto%2018%20%3A%2030)
![NP : ST \to x : 25](https://tex.z-dn.net/?f=NP%20%3A%20ST%20%5Cto%20x%20%3A%2025)
![PQ : TU \to 15 : y](https://tex.z-dn.net/?f=PQ%20%3A%20TU%20%5Cto%2015%20%3A%20y)
To solve for x, we equate
and ![NP : ST](https://tex.z-dn.net/?f=NP%20%3A%20ST)
![18 : 30 = x : 25](https://tex.z-dn.net/?f=18%20%3A%2030%20%3D%20x%20%3A%2025)
Express as fraction
![\frac{18 }{ 30 }= \frac{x }{ 25}](https://tex.z-dn.net/?f=%5Cfrac%7B18%20%7D%7B%2030%20%7D%3D%20%5Cfrac%7Bx%20%7D%7B%2025%7D)
Make x the subject
![x = 25 * \frac{18 }{ 30 }](https://tex.z-dn.net/?f=x%20%3D%20%2025%20%2A%20%5Cfrac%7B18%20%7D%7B%2030%20%7D)
![x = \frac{25 * 18 }{ 30 }](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B25%20%2A%2018%20%7D%7B%2030%20%7D)
![x = \frac{450}{ 30 }](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B450%7D%7B%2030%20%7D)
![x = 15](https://tex.z-dn.net/?f=x%20%3D%20%2015)
To solve for y, we equate
and ![PQ : TU](https://tex.z-dn.net/?f=PQ%20%3A%20TU)
![18 : 30 = 15 : y](https://tex.z-dn.net/?f=18%20%3A%2030%20%3D%2015%20%3A%20y)
Express as fraction
![\frac{18 }{ 30 }= \frac{15 }{ y}](https://tex.z-dn.net/?f=%5Cfrac%7B18%20%7D%7B%2030%20%7D%3D%20%5Cfrac%7B15%20%7D%7B%20y%7D)
Make y the subject
![y = 15 * \frac{30 }{ 18 }](https://tex.z-dn.net/?f=y%20%3D%2015%20%2A%20%5Cfrac%7B30%20%7D%7B%2018%20%7D)
![y = \frac{15 *30}{ 18 }](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B15%20%2A30%7D%7B%2018%20%7D)
![y = \frac{450}{ 18 }](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B450%7D%7B%2018%20%7D)
![y = 25](https://tex.z-dn.net/?f=y%20%3D%20%2025)