Complete question:
A store sells packages of batteries. The package with the best deal has the highest ratio of number of batteries to total cost.
Packages of Batteries
Number of Batteries
Total Cost
3
$8
5
$8
12
$24
14
$24
Which package offers the best deal?
3 for $8
5 for $8
12 for $24
14 for $24
Answer:
5 for $8
Step-by-step explanation:
Given:
3 batteries sell for $8
5 batteries sell for $8
12 batteries sell for $24
14 batteries sell for $24
To find the package that offers the best deal, find the cost of each battery by dividing each total cost by the number of the batteries. The package with the lowest will be the best package.
Thus:
Package 1: ![\frac{8}{3} = 2.67](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B3%7D%20%3D%202.67%20)
Package 2: ![\frac{8}{5} = 1.60](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B5%7D%20%3D%201.60%20)
Package 3: ![\frac{24}{12} = 2.00](https://tex.z-dn.net/?f=%20%5Cfrac%7B24%7D%7B12%7D%20%3D%202.00%20)
Package 1: ![\frac{24}{14} = 1.71](https://tex.z-dn.net/?f=%20%5Cfrac%7B24%7D%7B14%7D%20%3D%201.71%20)
The best package here is package 2 where 5 batteries sell for $8, because the cost of each battery here is significantly lower than the cost of each battery in other packages.
Answer:
<em>principles</em><em> </em><em>of</em><em> </em><em>accounting</em><em> </em><em>are</em><em> </em><em>the rules and guidelines that companies must follow when reporting financial data. </em>
<em>Revenue Recognition Principle,</em>
<em>Historical Cost Principle,</em>
<em>Matching Principle,</em>
<em>Full Disclosure Principle, </em>
<em>Objectivity Principle.</em>
Answer:
x = 54
Step-by-step explanation:
x/6 = 9
Multiply each side by 6
x/6*6 = 9*6
x = 54
Answer:
Option A is correct
A. Neither
Step-by-step explanation:
Given:
Two points are given (2, 15) and (0, 5)
Let
and ![(x_{2}, y_{2})=(0,5)](https://tex.z-dn.net/?f=%28x_%7B2%7D%2C%20y_%7B2%7D%29%3D%280%2C5%29)
The slope of the line ![m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2%7D-%20y_%7B1%7D%7D%7Bx_%7B2%7D-%20x_%7B1%7D%7D)
Put all known value in above equation.
![m=\frac{5- 15}{0- 2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B5-%2015%7D%7B0-%202%7D)
![m=\frac{-10}{-2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-10%7D%7B-2%7D)
![m=5](https://tex.z-dn.net/?f=m%3D5)
So the slope of the line
.
The equation of the is
-------------------(1)
Where m is the slope of the line and b is y-intercept of the line.
Take point (0, 5) to compute the value of b.
Put
in equation 1.
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
![5=5(0)+b](https://tex.z-dn.net/?f=5%3D5%280%29%2Bb)
![5=0+b](https://tex.z-dn.net/?f=5%3D0%2Bb)
![b=5](https://tex.z-dn.net/?f=b%3D5)
Take point (2, 15) to compute the value of b.
Put
in equation 1.
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
![15=5(2)+b](https://tex.z-dn.net/?f=15%3D5%282%29%2Bb)
![15=10+b](https://tex.z-dn.net/?f=15%3D10%2Bb)
![15-10=b](https://tex.z-dn.net/?f=15-10%3Db)
![b=5](https://tex.z-dn.net/?f=b%3D5)
So the equation of the line is.
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Put m and b value in above equation.
------------(2)
![5x-y=-5](https://tex.z-dn.net/?f=5x-y%3D-5)
add 10 both side in equation 2.
![y+10=5x+5+10](https://tex.z-dn.net/?f=y%2B10%3D5x%2B5%2B10)
![y+10=5x+15](https://tex.z-dn.net/?f=y%2B10%3D5x%2B15)
![y+10=5(x+3)](https://tex.z-dn.net/?f=y%2B10%3D5%28x%2B3%29)
So the equation of line that passes through the point (2,15) and (0,5) is.
or
or ![y+10=5(x+3)](https://tex.z-dn.net/?f=y%2B10%3D5%28x%2B3%29)
Therefore, Neither the following equations represents a line that passes through the points (2,15) and (0,5).