Answer:
the three angles of a triangle have measures x,2x,and 4y,where x>56.If x and y are integers, what is one possible value of y?
Answer:
The probability of an eighth grader winning is 1/3
Step-by-step explanation:
Total no. of students = 42
Number of students in 7th grade = 21
Number of students in 8th grade = 14
Number of students in 9th grade = 7
Probability of event = ![\frac{\text{Favorable outcomes}}{\text{Total outcomes}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BFavorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20outcomes%7D%7D)
So,the probability of an eighth grader winning= ![\frac{14}{42}=\frac{2}{6}=\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B42%7D%3D%5Cfrac%7B2%7D%7B6%7D%3D%5Cfrac%7B1%7D%7B3%7D)
Hence The probability of an eighth grader winning is 1/3
Answer:
![D) 0.5x^3y + 4x^2 y^2 - 2xy^3](https://tex.z-dn.net/?f=D%29%200.5x%5E3y%20%2B%204x%5E2%20y%5E2%20-%202xy%5E3)
Step-by-step explanation:
Set up an equation to model the situation,
![(-0.5xy)(x^2 + 8xy - 4y^2)](https://tex.z-dn.net/?f=%28-0.5xy%29%28x%5E2%20%2B%208xy%20-%204y%5E2%29)
Distribute, multiply each term in the parenthesis with the term outside of the parenthesis. Don't forget the laws of exponents, when one multiplies two exponents, with the same base, then one adds the two exponents. A number with no exponential term is two the first degree meaning that it is to the power of one.
![-0.5x^3 y - 4x^2 y^2 + 2xy^3](https://tex.z-dn.net/?f=-0.5x%5E3%20y%20-%204x%5E2%20y%5E2%20%2B%202xy%5E3)
Answer:
Consolation of Philosopy..