Answer:
1/5
Step-by-step explanation:
let's firstly convert the mixed fractions to improper fractions, and then add them up.
![\bf \stackrel{mixed}{8\frac{1}{2}}\implies \cfrac{8\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{17}{2}}~\hfill \stackrel{mixed}{7\frac{2}{3}}\implies \cfrac{7\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{23}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{17}{2}+\cfrac{23}{3}\implies \stackrel{\textit{using the LCD of 6}}{\cfrac{(3)17~~+~~(2)23}{6}}\implies \cfrac{51+46}{6}\implies \cfrac{97}{6}\implies 16\frac{1}{6}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B8%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B8%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B17%7D%7B2%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B7%5Cfrac%7B2%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B7%5Ccdot%203%2B2%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B23%7D%7B3%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B17%7D%7B2%7D%2B%5Ccfrac%7B23%7D%7B3%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%206%7D%7D%7B%5Ccfrac%7B%283%2917~~%2B~~%282%2923%7D%7B6%7D%7D%5Cimplies%20%5Ccfrac%7B51%2B46%7D%7B6%7D%5Cimplies%20%5Ccfrac%7B97%7D%7B6%7D%5Cimplies%2016%5Cfrac%7B1%7D%7B6%7D)
Answer:
x = -4, y = 7, z = 2.
Step-by-step explanation:
4x + 2y + 5z = 8......(1)
5x + 3y + 4z = 9......(2)
6x + 3y + 3z = 3......(3)
Subtract: equation (2) - equation (3):
-x + z = 6 ........(4)
Multiply (1) by 3 and (2) by 2:
12x + 6y + 15z = 24 .........(5)
10x + 6y + 8z = 18 ...........(6)
Subtract: (5) - (6):
2x + 7z = 6..............(7)
Multiply equation (4) by 2:
- 2x + 2z = 12.........(8)
Add (7) + (8):
9z = 18 , so z = 2.
Substitute for z in equation (4)
-x + 2 = 6
-x = 4 so x = -4.
Now find y by substituting in equation (1):
4(-4) + 2y + 5(2) = 8
2y = 8 + 16 - 10 = 14
y = 7.
Answer:
The parameter is the average number of hours students at the school watch TV per day.
Step-by-step explanation:
The correct option is : The parameter is the average number of hours students at the school watch TV per day.
