the final price of the wind chime is $29.925 .
<u>Step-by-step explanation:</u>
Here we have , A home improvement store sold wind chimes for $30 each. A customer signed up for a free membership card and received a 5% discount off the price. Sales tax of 5% was applied after the discount. We need to find What was the final price of the wind chime . Let's find out:
Initially we have , 5% discount in $30 i.e.
⇒ (30(5))/100
⇒ (150)/100
⇒ $1.5 , So now price becomes $30 - $1.5 = $28.5 . At this amount there's 5% tax i.e.
⇒ (28.5(5))/100
⇒ (142.5)/100
⇒ $1.425
So now price becomes $28.5 + $1.425 = $29.925 . Therefore , the final price of the wind chime is $29.925 .
Answer:
x < -22/9
Step-by-step explanation:
(-9x/11) - 7 < -5 (add 7 to both sides)
(-9x/11) < -5 + 7
-9x/11 < 2 (multiply both sides by 11)
-9x < 2(11)
-9x < 22 (divide both sides by -9)
x < -22/9 (answer)
edit: typos galore!
Answer:
![y= \frac{-1}{5} x +4](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B-1%7D%7B5%7D%20x%20%2B4)
Step-by-step explanation:
We can find the inverse function of this excercise, isolating X and then changing the variables.
![y=-5x+20\\y-20=-5x\\\frac{y-20}{-5} =x\\](https://tex.z-dn.net/?f=y%3D-5x%2B20%5C%5Cy-20%3D-5x%5C%5C%5Cfrac%7By-20%7D%7B-5%7D%20%3Dx%5C%5C)
![\frac{y}{-5}-\frac{20}{-5} = x\\\frac{-1}{5}y+\frac{20}{5} =x\\ \frac{-1}{5}y+4 =x](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B-5%7D-%5Cfrac%7B20%7D%7B-5%7D%20%20%3D%20x%5C%5C%5Cfrac%7B-1%7D%7B5%7Dy%2B%5Cfrac%7B20%7D%7B5%7D%20%3Dx%5C%5C%20%5Cfrac%7B-1%7D%7B5%7Dy%2B4%20%3Dx)
And now we change the variables and we get the inverse function:
![y= \frac{-1}{5} x +4](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B-1%7D%7B5%7D%20x%20%2B4)
Hey there! :D
So, we know that there are 3 z's and 3 6's.
3*z= 3z
6*3= 18
3(z+6) <== equivalent expression
3z+18 <== equivalent expression
z is by itself. It shouldn't combine. It should stay the same. 6 as a unit is separate from z.
Choices "B" and "E" are correct.
I hope this helps!
~kaikers