Let's say, the number is "a"
thus
![\bf \cfrac{1}{2}a=\cfrac{2}{3}a-9\implies \cfrac{a}{2}=\cfrac{2a}{3}-9\implies \cfrac{a}{2}=\cfrac{2a-27}{3}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B1%7D%7B2%7Da%3D%5Ccfrac%7B2%7D%7B3%7Da-9%5Cimplies%20%5Ccfrac%7Ba%7D%7B2%7D%3D%5Ccfrac%7B2a%7D%7B3%7D-9%5Cimplies%20%5Ccfrac%7Ba%7D%7B2%7D%3D%5Ccfrac%7B2a-27%7D%7B3%7D)
cross-multiply and solve for "a"
Answer:
27 I do believe so sorry if im wrong
Step-by-step explanation:
The coordinates of the fourth vertex is (9,7).
Explanation:
It is sort of like a pattern. (1,3), (9,3), (1,7), (9,7). Very simple once you think about it :)
Answer:
![0.09y^2 - 0.81 = (0.3y+0.9)(0.3y-0.9)](https://tex.z-dn.net/?f=0.09y%5E2%20-%200.81%20%3D%20%280.3y%2B0.9%29%280.3y-0.9%29)
Step-by-step explanation:
The difference of squares formula gives us
![a^2 - b^2 = (a+b)(a-b)](https://tex.z-dn.net/?f=a%5E2%20-%20b%5E2%20%3D%20%28a%2Bb%29%28a-b%29)
(you can multiply this out to confirm)
![0.09y^2 = (0.3y)^2](https://tex.z-dn.net/?f=0.09y%5E2%20%3D%20%280.3y%29%5E2)
and
![0.81 = 0.9^2](https://tex.z-dn.net/?f=0.81%20%3D%200.9%5E2)
Thus, by the difference of squares formula
![0.09y^2 - 0.81 = (0.3y+0.9)(0.3y-0.9)](https://tex.z-dn.net/?f=0.09y%5E2%20-%200.81%20%3D%20%280.3y%2B0.9%29%280.3y-0.9%29)
X - the numbers of hits
y - the number of times at bat
He has a 0.300 batting average.
![\frac{x}{y}=0.3 \\ x=0.3y](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D0.3%20%5C%5C%0Ax%3D0.3y)
If he gets a total of 10 more hits the next 10 times at bat, his batting average will be 0.400.
![\frac{x+10}{y+10}=0.4 \\ x+10=0.4(y+10) \\ x+10=0.4y+4 \\ x=0.4y+4-10 \\ x=0.4y-6](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B10%7D%7By%2B10%7D%3D0.4%20%5C%5C%0Ax%2B10%3D0.4%28y%2B10%29%20%5C%5C%0Ax%2B10%3D0.4y%2B4%20%5C%5C%0Ax%3D0.4y%2B4-10%20%5C%5C%0Ax%3D0.4y-6)
He had 18 hits.