45^3 is 45 times 45 times 45. The answer is 91 125.
Answer:
9 bracelets sold is the break even point.
Step-by-step explanation:
The total costs are 7.50 for each bracelet made and 225 for the booth rental.
Let the Costs = y and Let the number of bracelets = x.
So far what you have is
y = 225 + 7.50 * x
Balancing this out is the sale price
32.50 * x is the total income.
Equation
The break even point is where
y = 32.5x - (225 + 7.50x) = 0
Solution
32.5x - 225 - 7.50x = 0 Combine like terms on the left
25x - 225 = 0 Add 225 to both sides
25x - 225 + 225 = 0 + 225 Combine
25x = 225 Divide both sides by 25
25x/25 = 225/25
x = 9
The answer is that the break even point is when 9 bracelets have been sold.
The value of 3 in 6300 is 10 times the value of 3 in 530
Brian paid $2.15 for each gallon of gasoline. So $2.15/gallon.
Answer:
represents the graph. So, option A is true.
Step-by-step explanation:
Considering the linear inequality
![y\ge -\frac{2}{3}x+1](https://tex.z-dn.net/?f=y%5Cge%20-%5Cfrac%7B2%7D%7B3%7Dx%2B1)
as
![\mathrm{Domain\:of\:}\:-\frac{2}{3}x+1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:](https://tex.z-dn.net/?f=%5Cmathrm%7BDomain%5C%3Aof%5C%3A%7D%5C%3A-%5Cfrac%7B2%7D%7B3%7Dx%2B1%5C%3A%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3A-%5Cinfty%20%5C%3A%3Cx%3C%5Cinfty%20%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%28-%5Cinfty%20%5C%3A%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D)
and
![\mathrm{Range\:of\:}-\frac{2}{3}x+1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:](https://tex.z-dn.net/?f=%5Cmathrm%7BRange%5C%3Aof%5C%3A%7D-%5Cfrac%7B2%7D%7B3%7Dx%2B1%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3A-%5Cinfty%20%5C%3A%3Cf%5Cleft%28x%5Cright%29%3C%5Cinfty%20%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%5Cleft%28-%5Cinfty%20%5C%3A%2C%5C%3A%5Cinfty%20%5C%3A%5Cright%29%5Cend%7Bbmatrix%7D)
![x-\mathrm{axis\:interception\:points\:of\:}-\frac{2}{3}x+1:\quad \left(\frac{3}{2},\:0\right)](https://tex.z-dn.net/?f=x-%5Cmathrm%7Baxis%5C%3Ainterception%5C%3Apoints%5C%3Aof%5C%3A%7D-%5Cfrac%7B2%7D%7B3%7Dx%2B1%3A%5Cquad%20%5Cleft%28%5Cfrac%7B3%7D%7B2%7D%2C%5C%3A0%5Cright%29)
![-\frac{2}{3}x+1=0:\quad x=\frac{3}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B3%7Dx%2B1%3D0%3A%5Cquad%20x%3D%5Cfrac%7B3%7D%7B2%7D)
![\left(\frac{3}{2},\:0\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B3%7D%7B2%7D%2C%5C%3A0%5Cright%29)
![y-\mathrm{axis\:interception\:point\:of\:}-\frac{2}{3}x+1:\quad \left(0,\:1\right)](https://tex.z-dn.net/?f=y-%5Cmathrm%7Baxis%5C%3Ainterception%5C%3Apoint%5C%3Aof%5C%3A%7D-%5Cfrac%7B2%7D%7B3%7Dx%2B1%3A%5Cquad%20%5Cleft%280%2C%5C%3A1%5Cright%29)
![y=-\frac{2}{3}\cdot \:0+1](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B2%7D%7B3%7D%5Ccdot%20%5C%3A0%2B1)
![y=-0+1](https://tex.z-dn.net/?f=y%3D-0%2B1)
![y=1](https://tex.z-dn.net/?f=y%3D1)
Thus,
![\mathrm{X\:Intercepts}:\:\left(\frac{3}{2},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:1\right)](https://tex.z-dn.net/?f=%5Cmathrm%7BX%5C%3AIntercepts%7D%3A%5C%3A%5Cleft%28%5Cfrac%7B3%7D%7B2%7D%2C%5C%3A0%5Cright%29%2C%5C%3A%5Cmathrm%7BY%5C%3AIntercepts%7D%3A%5C%3A%5Cleft%280%2C%5C%3A1%5Cright%29)
![\mathrm{Slope\:of\:}-\frac{2}{3}x+1:\quad m=-\frac{2}{3}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%5C%3Aof%5C%3A%7D-%5Cfrac%7B2%7D%7B3%7Dx%2B1%3A%5Cquad%20m%3D-%5Cfrac%7B2%7D%7B3%7D)
Also, (-3, 3) holds true.
as
![3\ge \:-\frac{2}{3}\cdot \left(-3\right)+1](https://tex.z-dn.net/?f=3%5Cge%20%5C%3A-%5Cfrac%7B2%7D%7B3%7D%5Ccdot%20%5Cleft%28-3%5Cright%29%2B1)
![3\ge \:\frac{2}{3}\cdot \:\:3+1](https://tex.z-dn.net/?f=3%5Cge%20%5C%3A%5Cfrac%7B2%7D%7B3%7D%5Ccdot%20%5C%3A%5C%3A3%2B1)
![3\ge \:2+1](https://tex.z-dn.net/?f=3%5Cge%20%5C%3A2%2B1)
![3\ge \:3](https://tex.z-dn.net/?f=3%5Cge%20%5C%3A3)
WHICH IS TRUE!
Therefore,
represents the graph. So, option A is true.