Well, let us solve this step by step.
We know that Michelle earns 349 plus 3% of the Purchase
price. Let us call the Purchase price as P, so that:
Earnings, E = 349 + 0.03 P
So if she earns 8,965 (E = 8,965) so we can find P:
8,965 = 349 + 0.03 P
0.03 P = 8,616
P = $287,200
Answer:
y=24
Step-by-step explanation:
4y+7+3y+5=180
7y=168
y=24
Answer:
hghjghgjh
Step-by-step explanation:
Answer:
The answer is "
".
Step-by-step explanation:
![\bold{\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%262%5C%5C3%264%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D6%265%5C%5C%2019%268%5Cend%7Barray%7D%5Cright%5D%7D)
Solve the L.H.S part:
![\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\\\\\\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%262%5C%5C3%264%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%2B2c%26b%2B2d%5C%5C3a%2B4c%263b%2B4d%5Cend%7Barray%7D%5Cright%5D)
After calculating the L.H.S part compare the value with R.H.S:
![\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]= \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]} \\\\](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%2B2c%26b%2B2d%5C%5C3a%2B4c%263b%2B4d%5Cend%7Barray%7D%5Cright%5D%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D6%265%5C%5C%2019%268%5Cend%7Barray%7D%5Cright%5D%7D%20%5C%5C%5C%5C)
![\to a+2c =6....(i)\\\\\to b+2d =5....(ii)\\\\\to 3a+4c =19....(iii)\\\\\to 3b+4d = 8 ....(iv)\\\\](https://tex.z-dn.net/?f=%5Cto%20a%2B2c%20%3D6....%28i%29%5C%5C%5C%5C%5Cto%20b%2B2d%20%3D5....%28ii%29%5C%5C%5C%5C%5Cto%203a%2B4c%20%3D19....%28iii%29%5C%5C%5C%5C%5Cto%203b%2B4d%20%3D%208%20....%28iv%29%5C%5C%5C%5C)
In equation (i) multiply by 3 and subtract by equation (iii):
![\to 3a+6c=18\\\to 3a+4c=19\\\\\text{subtract}... \\\\\to 2c = -1\\\\\to c= - \frac{1}{2}](https://tex.z-dn.net/?f=%5Cto%203a%2B6c%3D18%5C%5C%5Cto%203a%2B4c%3D19%5C%5C%5C%5C%5Ctext%7Bsubtract%7D...%20%5C%5C%5C%5C%5Cto%202c%20%3D%20-1%5C%5C%5C%5C%5Cto%20%20c%3D%20-%20%5Cfrac%7B1%7D%7B2%7D)
put the value of c in equation (i):
![\to a+ 2 (- \frac{1}{2})=6\\\\\to a- 2 \times \frac{1}{2}=6\\\\\to a- 1=6\\\\\to a =6 +1\\\\\to a = 7\\](https://tex.z-dn.net/?f=%5Cto%20a%2B%202%20%28-%20%5Cfrac%7B1%7D%7B2%7D%29%3D6%5C%5C%5C%5C%5Cto%20a-%202%20%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%3D6%5C%5C%5C%5C%5Cto%20a-%201%3D6%5C%5C%5C%5C%5Cto%20a%20%3D6%20%2B1%5C%5C%5C%5C%5Cto%20a%20%3D%207%5C%5C)
In equation (ii) multiply by 3 then subtract by equation (iv):
![\to 3b+6d=15\\\to 3b+4d=8\\\\\text{subtract...}\\\\\to 2d = 7\\\\\to d= \frac{7}{2}\\](https://tex.z-dn.net/?f=%5Cto%203b%2B6d%3D15%5C%5C%5Cto%203b%2B4d%3D8%5C%5C%5C%5C%5Ctext%7Bsubtract...%7D%5C%5C%5C%5C%5Cto%202d%20%3D%207%5C%5C%5C%5C%5Cto%20d%3D%20%5Cfrac%7B7%7D%7B2%7D%5C%5C)
put the value of d in equation (iv):
![\to 3b+4 (\frac{7}{2})=8\\\\\to 3b+4 \times \frac{7}{2}=8\\\\\to 3b+14=8\\\\\to 3b =8-14\\\\\to 3b = -6\\\\\to b= \frac{-6}{3}\\\\\to b= -2](https://tex.z-dn.net/?f=%5Cto%203b%2B4%20%28%5Cfrac%7B7%7D%7B2%7D%29%3D8%5C%5C%5C%5C%5Cto%203b%2B4%20%5Ctimes%20%5Cfrac%7B7%7D%7B2%7D%3D8%5C%5C%5C%5C%5Cto%203b%2B14%3D8%5C%5C%5C%5C%5Cto%203b%20%3D8-14%5C%5C%5C%5C%5Cto%203b%20%3D%20-6%5C%5C%5C%5C%5Cto%20b%3D%20%5Cfrac%7B-6%7D%7B3%7D%5C%5C%5C%5C%5Cto%20b%3D%20-2)
The final answer is "
".
The missing fraction would be
![\frac{4}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B6%7D%20)
since it is exactly in the halfway between