12 a. The answer is 80%
Explain: 68/85 = 0.8 (I move two decimal places to the right)
In Percent: 80%
12 b. Marisol has the highest score in English.
C the horizontal line represents x and it goes to -1 you place your coordinates as (x,y)
(5,2) because of the cordainte plane x axais is down and its positive so you get 5,2
Only 35:28 is equivalent to 5:4
Further explanation:
Given
5:4
We have to check each ratio, if it can be simplified to be equivalent to 5:4
<u>1:2</u>
The ration cannot be simplified in any way to 1:2 so it is not equivalent.
<u>8:14</u>
Simplified to: 4:7 => Not equivalent to 5:4
<u>35:28</u>
It can be simplified to 5:4 by dividing by 7.
Only 35:28 is equivalent to 5:4
Keywords: Ratios, Equivalent Ratios
Learn more about ratios at:
#LearnwithBrainly
Answer:
8
Step-by-step explanation:
Given hotel bill = ₹4800
Let initially, number of people = ![x](https://tex.z-dn.net/?f=x)
Initial Bill of each person = Hotel bill divided by number of people = ![\frac{4800}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B4800%7D%7Bx%7D)
4 people are added to the hotel stay.
i.e. new number of people = ![x+4](https://tex.z-dn.net/?f=x%2B4)
New bill becomes ₹200 less for each person.
New bill for each person =
- 200
Hotel bill remains the same i.e. ₹4800 = New bill for each person multiplied by new number of people.
![4800 = (\dfrac{4800}{x}-200) (x+4)\\\Rightarrow 4800 = \dfrac{4800}{x}\times x -200\times x + \dfrac{4800}{x}\times 4 - 200\times 4\\\Rightarrow 4800 = 4800 -200 x + \dfrac{4800}{x}\times 4 - 800 \\\Rightarrow 800 = -200x+\dfrac{19200}{x}\\\Rightarrow 4 = -x+\dfrac{96}{x}\\\Rightarrow x^2+4x-96=0 \\\Rightarrow x^2+12x-8x-96=0\\\Rightarrow x(x+12)-8(x+12)=0\\\Rightarrow \bold{x = 8}, x= -12\ not\ possible](https://tex.z-dn.net/?f=4800%20%3D%20%28%5Cdfrac%7B4800%7D%7Bx%7D-200%29%20%28x%2B4%29%5C%5C%5CRightarrow%204800%20%3D%20%5Cdfrac%7B4800%7D%7Bx%7D%5Ctimes%20x%20-200%5Ctimes%20x%20%2B%20%5Cdfrac%7B4800%7D%7Bx%7D%5Ctimes%204%20-%20200%5Ctimes%204%5C%5C%5CRightarrow%204800%20%3D%204800%20-200%20x%20%2B%20%5Cdfrac%7B4800%7D%7Bx%7D%5Ctimes%204%20-%20800%20%5C%5C%5CRightarrow%20800%20%3D%20-200x%2B%5Cdfrac%7B19200%7D%7Bx%7D%5C%5C%5CRightarrow%204%20%3D%20-x%2B%5Cdfrac%7B96%7D%7Bx%7D%5C%5C%5CRightarrow%20x%5E2%2B4x-96%3D0%20%5C%5C%5CRightarrow%20x%5E2%2B12x-8x-96%3D0%5C%5C%5CRightarrow%20x%28x%2B12%29-8%28x%2B12%29%3D0%5C%5C%5CRightarrow%20%5Cbold%7Bx%20%3D%208%7D%2C%20x%3D%20-12%5C%20not%5C%20possible)