let's firstly convert the mixed fraction to improper fraction and then take it from there, keeping in mind that the whole is "x".
![\stackrel{mixed}{5\frac{5}{6}}\implies \cfrac{5\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{35}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{3}x~~ = ~~5\frac{5}{6}\implies \cfrac{7}{3}x~~ = ~~\cfrac{35}{6}\implies 42x=105\implies x=\cfrac{105}{42} \\\\\\ x=\cfrac{21\cdot 5}{21\cdot 2}\implies x=\cfrac{21}{21}\cdot \cfrac{5}{2}\implies x=1\cdot \cfrac{5}{2}\implies x=2\frac{1}{2}](https://tex.z-dn.net/?f=%5Cstackrel%7Bmixed%7D%7B5%5Cfrac%7B5%7D%7B6%7D%7D%5Cimplies%20%5Ccfrac%7B5%5Ccdot%206%2B5%7D%7B6%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B35%7D%7B6%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B7%7D%7B3%7Dx~~%20%3D%20~~5%5Cfrac%7B5%7D%7B6%7D%5Cimplies%20%5Ccfrac%7B7%7D%7B3%7Dx~~%20%3D%20~~%5Ccfrac%7B35%7D%7B6%7D%5Cimplies%2042x%3D105%5Cimplies%20x%3D%5Ccfrac%7B105%7D%7B42%7D%20%5C%5C%5C%5C%5C%5C%20x%3D%5Ccfrac%7B21%5Ccdot%205%7D%7B21%5Ccdot%202%7D%5Cimplies%20x%3D%5Ccfrac%7B21%7D%7B21%7D%5Ccdot%20%5Ccfrac%7B5%7D%7B2%7D%5Cimplies%20x%3D1%5Ccdot%20%5Ccfrac%7B5%7D%7B2%7D%5Cimplies%20x%3D2%5Cfrac%7B1%7D%7B2%7D)
Answer:
1. $427.50
2. 50 hours
Step-by-step explanation:
1. First, find your salary at minimum hours, which is $360. Then, take your second equation, plug in 45, and solve using PEMDAS. This will give you $427.50
2. To solve this, you'll need to set it up like so:
495 = 13.5 (x - 40) + 360
Your next step will be to distribute the number outside the parentheses. This will give you:
495 = 13.5x - 540 + 360
Simplify, like so:
495 = 13.5x - 180
Solve.
495 = 13.5x - 180
+180 +180
This will give you:
675 = 13.5x
Divide each side.
675 = 13.5x
------ -------
13.5 13.5
50 = x
Answer:
4 will be you numerator and 5 will be your denominator
Answer:
m= 2
b=9
Step-by-step explanation:
-4, 1 -3,3
put it into y2-x2 divided by y1-x1
y2= 3
x2= 1
y1= -3
x1=-4
3-1 divided by -4--3= 2/1 =2x
get one of the points either -4,1 or -3,3
If you use -4,1 -4=x 1=y
put it into y=mx+b and you get 1= -4(2)+b simplify
1=-8+b add 8 to other side b=9
