Answer:
D
Step-by-step explanation:
The ratio of in- state : out- state = 96 : 56 ← divide both parts by 8
Thus 96 : 56 = 12 : 7 ← in simplest form → D
Answer:
42
Step-by-step explanation:
Forming an algebraic equation and solving:
Let the number she thought = 'x'
5/6 of the number : ![\sf \dfrac{5}{6}*x](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B5%7D%7B6%7D%2Ax)
![\sf \text{take away 7 from $\sf \dfrac{5}{6}*x$} : \dfrac{5}{6}x - 7 \\](https://tex.z-dn.net/?f=%5Csf%20%5Ctext%7Btake%20away%207%20from%20%24%5Csf%20%5Cdfrac%7B5%7D%7B6%7D%2Ax%24%7D%20%20%3A%20%5Cdfrac%7B5%7D%7B6%7Dx%20-%207%20%5C%5C)
![\sf \dfrac{5}{6}x-7 = 28\\\\\text{\sf Add 7 to both sides}\\\\ \dfrac{5}{6}x= 28 +7 \\\\ \dfrac{5}{6}x = 35](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B5%7D%7B6%7Dx-7%20%3D%2028%5C%5C%5C%5C%5Ctext%7B%5Csf%20Add%207%20to%20both%20sides%7D%5C%5C%5C%5C%20%5Cdfrac%7B5%7D%7B6%7Dx%3D%2028%20%2B7%20%5C%5C%5C%5C%20%5Cdfrac%7B5%7D%7B6%7Dx%20%3D%2035)
Multiply both sides by 6
5x = 35 * 6
Divide both sides by 5,
![\sf x = \dfrac{35*6}{5}\\\\ x = 7 * 6\\\\\boxed{\text{\bf The number is 42}}](https://tex.z-dn.net/?f=%5Csf%20x%20%3D%20%5Cdfrac%7B35%2A6%7D%7B5%7D%5C%5C%5C%5C%20%20%20%20%20x%20%3D%207%20%2A%206%5C%5C%5C%5C%5Cboxed%7B%5Ctext%7B%5Cbf%20The%20number%20is%2042%7D%7D)
Paralell has same slope
the slope for ax+by=c is -a/b
that means that a line paralell to 2x+3y=3 will have 2x+3y=something
find that something
given
(3,-4)
x=3 and y=-4 is a soltuion
2x+3y=something
2(3)+3(-4)=something
6-12=something
-6=something
2x+3y=-6
The answer : 20%
Hope it help u