Answer:
2/3
Step-by-step explanation:
The equation for direct variation is: y = kx, where k is a constant.
Here, we see that y varies directly with x when y = 6 and x = 72, so let's plug these values into the formula to find k:
y = kx
6 = k * 72
k = 6/72 = 1/12
So, k = 1/12. Now our formula is y = (1/12)x. Plug in 8 for x to find y:
y = (1/12)x
y = (1/12) * 8 = 8/12 = 2/3
Thus, y = 2/3.
<em>~ an aesthetics lover</em>
Answer:
First, denote the number of dimes as x, and the number of quarters as y.
Since the total number of coins equals 61, we can write the following equation: x + y = 61
Since the total value of the coins equals $10.90, and we know that a quarter is worth $0.25 and a dime is worth $0.10, the total value can be expressed as a function of the number of quarters and dimes: $0.10*x + $0.25*y = $10.90
Now, we have two equations and two variables, meaning we can solve the 2x2 system!
Rewrite the first equation in terms of x: x = 61 - y
Now substitute this expression into the second equation: $0.10*(61-y) + $0.25*y = $10.90
Solve for y: $.15*y = $4.80, y = 32
Substitute back into the first equation to get x: x = 29
She indeed has 3 more quarters than dimes since 32-29= 3, so we did it right (:
Step-by-step explanation:
I’m going to attempt to answer this to the best of my ability
1.) -6/7
2.) -26/7
3.) 0
hope this helps
Solution :
P(2 states or more | college degree)
![$=\frac{\text{P( 2 states or more and college degree)}}{\text{P(college degree)}}$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B%5Ctext%7BP%28%202%20states%20or%20more%20and%20college%20degree%29%7D%7D%7B%5Ctext%7BP%28college%20degree%29%7D%7D%24)
Total number of people = 58
The number of people who lived in two states or more than two states and also have a college degree = 18
Therefore,
![$\text{P(2 states or more states and college degree)} = \frac{18}{58}$](https://tex.z-dn.net/?f=%24%5Ctext%7BP%282%20states%20or%20more%20states%20and%20college%20degree%29%7D%20%3D%20%5Cfrac%7B18%7D%7B58%7D%24)
The number of people who have a college degree = 20
So, ![$\text{P(college degree)} = \frac{20}{58}$](https://tex.z-dn.net/?f=%24%5Ctext%7BP%28college%20degree%29%7D%20%3D%20%5Cfrac%7B20%7D%7B58%7D%24)
Thus,
![$\text{P(2 states or more/college degree)}=\frac{\frac{18}{58}}{\frac{20}{58}}$](https://tex.z-dn.net/?f=%24%5Ctext%7BP%282%20states%20or%20more%2Fcollege%20degree%29%7D%3D%5Cfrac%7B%5Cfrac%7B18%7D%7B58%7D%7D%7B%5Cfrac%7B20%7D%7B58%7D%7D%24)
![$=\frac{18}{20}$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B18%7D%7B20%7D%24)
= 0.900
To sub, solve for 1 variable
solve for y
14-4x=2y
divide by 2
7-2x=y
sub 7-2x for y
(7-2x)+2x=7
7-2x+2x=7
7=7
true
answer is infinite olutions since everybody cancled out