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The answer for the number 16 is -3
Answer:
![6x + 4 = 12x - 20](https://tex.z-dn.net/?f=%206x%20%2B%204%20%3D%2012x%20-%2020%20)
![x = 4](https://tex.z-dn.net/?f=%20x%20%3D%204%20)
Step-by-step explanation:
Let "x" be the number.
Product of 6 and x (6*x), increased by 4 = ![6x + 4](https://tex.z-dn.net/?f=%206x%20%2B%204%20)
Product of 12 and x, (12*x), decreased by 20 =
.
Set both expressions equal to each other and solve for x as shown below:
(equation)
Subtract 12 from both sides
![6x + 4 - 12x = 12x - 20 - 12x](https://tex.z-dn.net/?f=%206x%20%2B%204%20-%2012x%20%3D%2012x%20-%2020%20-%2012x%20)
![-6x + 4 = -20](https://tex.z-dn.net/?f=%20-6x%20%2B%204%20%3D%20-20%20)
Subtract 4 from both sides
![-6x + 4 - 4 = -20 - 4](https://tex.z-dn.net/?f=%20-6x%20%2B%204%20-%204%20%3D%20-20%20-%204%20)
![-6x = -24](https://tex.z-dn.net/?f=%20-6x%20%3D%20-24%20)
Divide both sides by -6
![\frac{-6x}{-6} = \frac{-24}{-6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-6x%7D%7B-6%7D%20%3D%20%5Cfrac%7B-24%7D%7B-6%7D%20)
![x = 4](https://tex.z-dn.net/?f=%20x%20%3D%204%20)
Answer:
Step-by-step explanation:
Total number of questions in the test is 20.
Total number of questions that Alyssa answered correctly is 16.
The percentage of questions that she answered correctly would be
16/20 × 100 = 80%
To get an A, she needs to answer 90% of the questions correctly. Let x represent the number of questions that she needs to answer correctly to get an A. Therefore,
x/20 × 100 = 90
100x = 20 × 90 = 1800
x = 1800/100 = 18
She would need to answer 18 questions correctly to get an A
Alyssa's friend Jessie answered three times more questions correct than incorrect. This means that for every 3 correct answers, she had 1 wrong answer. For 15 correct answers ,she would get 5 wrong answers. Therefore, she got fewer correct answers than Alyssa.
Her percentage is
15/20 × 100 = 75%
Alyssa got a higher percentage of the test questions correct.
You pretty much just flip the second fraction and factor