How i remember the definition of mean is mean teacher makes you average your grade. so add up all of the numbers on the column f to get 25, then divide that by 5 because there are 5 groups. and you get 5, or in your case D.
LCM of 15 and 60 is 60.
GCF of 15 and 60 is 15.
Answer with explanation:
V=Volume of tank
It is given that, X and Y work at constant rates.
Let rate of doing work of X is x hour.
And, Rate of Doing work of Y is y hour.
Statement I----X and Y together fill order in 2⁄3 the time that X alone does.
![\frac{V}{x+y}=\frac{2V}{3x}\\\\x+y=\frac{3x}{2}\\\\y=\frac{x}{2}](https://tex.z-dn.net/?f=%5Cfrac%7BV%7D%7Bx%2By%7D%3D%5Cfrac%7B2V%7D%7B3x%7D%5C%5C%5C%5Cx%2By%3D%5Cfrac%7B3x%7D%7B2%7D%5C%5C%5C%5Cy%3D%5Cfrac%7Bx%7D%7B2%7D)
-------------------------------------------------(1)
Statement II----Y alone does it in twice the time as X alone does.
![\frac{V}{x}=\frac{V}{\frac{y}{2}}\\\\y=\frac{2}{x}](https://tex.z-dn.net/?f=%5Cfrac%7BV%7D%7Bx%7D%3D%5Cfrac%7BV%7D%7B%5Cfrac%7By%7D%7B2%7D%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B2%7D%7Bx%7D)
Substituting the value of y in 1
![\rightarrow \frac{x}{2}=\frac{2}{x}\\\\\rightarrow x^2=4\\\\\rightarrow x=\pm 2\\\\\rightarrow x=2](https://tex.z-dn.net/?f=%5Crightarrow%20%5Cfrac%7Bx%7D%7B2%7D%3D%5Cfrac%7B2%7D%7Bx%7D%5C%5C%5C%5C%5Crightarrow%20x%5E2%3D4%5C%5C%5C%5C%5Crightarrow%20x%3D%5Cpm%202%5C%5C%5C%5C%5Crightarrow%20x%3D2)
→x≠ -2, because Rate of doing work can't be negative.
Substituting the value of x in 1, gives
![y=\frac{2}{2}\\\\y=1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B2%7D%5C%5C%5C%5Cy%3D1)
→Rate of doing work of X= 2 hour
→Rate of doing work of Y=1 hour
The answer to this question is:
While
playing mini golf, you hit the ball off of a wall to attempt at making
it in the hole. The ball is located at (5,4) and the hole is located at
(9,8). The point where the ball hits the wall is (7,0). Write an
equation for the path of the ball and then determine if you will make
your putt.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Step 1:
Hit=9,8
Ball=5,4
R=7,0(This will be the hit point)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Step 2:
(Ball)B'=7+(7-5)4=(9,4)
BR: y-4=(0-4)/(7-5)(x-5)→→→→→→→→→→→→y=-2x+14
RB': y-4=(4-0)/(9-7)(x-9)→→→→→→→→→→→→y=2x-14
Answer:
B
Step-by-step explanation: