Answer:
A (i) impossible, because the card D doesn't exist.
(ii) evens, because the number of vowel cards and consonant cards is equal
B (i) 62 - 24 - 13 - 16 = 9
(ii) 24/62*100% = 38.7%
(iii) (13+16) / 62 * 100% = 46.77%
Answer:
![x = 20](https://tex.z-dn.net/?f=x%20%3D%2020)
Step-by-step explanation:
Given
The attached triangle
Required
Find x
The value of x will be found using the following equivalent ratios:
![11 : 121 = 10 : 5x + 10](https://tex.z-dn.net/?f=11%20%3A%20121%20%3D%2010%20%3A%205x%20%2B%2010)
Convert to fraction
![\frac{11}{121} = \frac{10}{5x + 10}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B121%7D%20%3D%20%5Cfrac%7B10%7D%7B5x%20%2B%2010%7D)
Factorize:
![\frac{11}{121} = \frac{5*2}{5(x + 2)}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B121%7D%20%3D%20%5Cfrac%7B5%2A2%7D%7B5%28x%20%2B%202%29%7D)
Simplify
![\frac{1}{11} = \frac{2}{x + 2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B11%7D%20%3D%20%5Cfrac%7B2%7D%7Bx%20%2B%202%7D)
Cross Multiply
![1 * (x + 2) = 2 * 11](https://tex.z-dn.net/?f=1%20%2A%20%28x%20%2B%202%29%20%3D%202%20%2A%2011)
![x + 2 = 22](https://tex.z-dn.net/?f=x%20%2B%202%20%3D%2022)
Collect Like Terms
![x = 22-2](https://tex.z-dn.net/?f=x%20%3D%2022-2)
![x = 20](https://tex.z-dn.net/?f=x%20%3D%2020)
Answer:
The lines would intersect at: (6, -4)
Step-by-step explanation:
I graphed both lines.
You can just overall divide 100 from 25 to get a percentage because you're trying to find the percentage of captown only but per se if you were to find various cities in Maltania than you can just divide 100 by the percent of the population.
Hi there!
The question here is -8g² + (2g² - 4h), and we are asked to find the sum of it. First, we can remove the parentheses by distributing the 'invisible' 1 next to the addition sign. This gives us -8g² + 2g² - 4h. Next, we can simplify the expression by finding like terms, which would be -8g² and 2g², as they both have the same variable to the same exponent. Therefore, our answer would be -6g² - 4h. Hope this helped and have a phenomenal day!