What is the price per ounce, rounded to the nearest cent? $0.29.
18 teams
Just divide 252 by 14:)
Answer:
5x + 3y = 95
8x + 6y = 170
x = 10 ; y = 15
Step-by-step explanation:
Let :
x = pack of juice boxes
y = pack of water bottles
Pack of juice box = $5
Pack of water bottles = $3
Amount of money spent :
5x + 3y = $95
Number of drinks purchased :
8x + 6y = 170
Using both equations ;
5x + 3y = 95 - - - (1)
8x + 6y = 170 - - - (2)
Multiply (1) by 6 and (2) by 3
30x + 18y = 570
24x + 18y = 510
Subtract :
6x = 60
x = 60 / 6
x = 10
Put x = 10 in (1)
5(10) + 3y = 95
50 + 3y = 95
3y = 95 - 50
3y = 45
y = 45 / 3
y = 15
x = 10 ; y = 15
I would have to say SAS because they give 2 sides and an angle. Also 3:4 because the one side is 3 and add 1 for 4, same for 30 and 40.
The simplified expression of
is
.
Solution:
Given expression is
.
To simplify the given expression.
![$\Rightarrow4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}](https://tex.z-dn.net/?f=%24%5CRightarrow4%20x%20%5Ccdot%20%5Cfrac%7B1%7D%7Bx%5E%7B-5%7D%7D%20%5Ccdot%20x%5E%7B-3%7D)
Using exponent rule: ![\frac{1}{a^{-m}}=a^m](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Ba%5E%7B-m%7D%7D%3Da%5Em)
![$\Rightarrow4x \cdot x^{5}.x^{-3}](https://tex.z-dn.net/?f=%24%5CRightarrow4x%20%5Ccdot%20x%5E%7B5%7D.x%5E%7B-3%7D)
Using another exponent rule: ![a^m \cdot a^n=a^{m+n}](https://tex.z-dn.net/?f=a%5Em%20%5Ccdot%20a%5En%3Da%5E%7Bm%2Bn%7D)
![$\Rightarrow4x \cdot x^{5-3}](https://tex.z-dn.net/?f=%24%5CRightarrow4x%20%5Ccdot%20x%5E%7B5-3%7D)
![$\Rightarrow4x \cdot x^{2}](https://tex.z-dn.net/?f=%24%5CRightarrow4x%20%5Ccdot%20x%5E%7B2%7D)
Using exponent rule: ![a^m \cdot a^n=a^{m+n}](https://tex.z-dn.net/?f=a%5Em%20%5Ccdot%20a%5En%3Da%5E%7Bm%2Bn%7D)
![$\Rightarrow4x^{1+2}](https://tex.z-dn.net/?f=%24%5CRightarrow4x%5E%7B1%2B2%7D)
![$\Rightarrow4x^3](https://tex.z-dn.net/?f=%24%5CRightarrow4x%5E3)
Hence the simplified expression of
is
.