I'm sending you two screenshots of the explanation I hope this helps.
Let x = cost of the dishwasher.
The amounts the children are paying are:
Mark =20% = 1/5, so 1/5x
Sorin = 75
Raymond = 1/4x
Stephanie = 75
Kristin = 1/3x
Add them together:
x = 1/5x + 1/4x + 1/3x + 75 + 75
x - ( 1/5x + 1/4x + 1/3x ) = 150
Rewrite fractions with common denominator:
x - ( 12/60x + 15/60x + 20/60x ) = 150
60/60x - 47/60x = 150
13/60x = 150
x = 150/1 • 60/13
x = 9000/13
x = 692.31
The total cost of the dishwasher is $692.31
Now calculate the amount each child pays:
Mark = 1/5 x = 692.31/ 5 = $138.46
Sorin = $75.00
Raymond = 1/4 x = 692.31 / 4 = $173.08
Stephanie = $75.00
Kristin = 1/3 x = 692.31 / 3 = $230.77
Answer:
<em>The volume of the cube is </em>
<em>cu in.</em>
Step-by-step explanation:
<u>The Volume of a Cube</u>
Let's have a cube of side length a. The volume of the cube is:
![V=a^3](https://tex.z-dn.net/?f=V%3Da%5E3)
The cube of the image has a side length of
![\displaystyle a=\frac{3x^{-3}}{z}\ inches](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%3D%5Cfrac%7B3x%5E%7B-3%7D%7D%7Bz%7D%5C%20inches)
Simplifying the expression of the base by converting the negative exponent in the numerator to the denominator:
![\displaystyle a=\frac{3}{zx^{3}}\ inches](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%3D%5Cfrac%7B3%7D%7Bzx%5E%7B3%7D%7D%5C%20inches)
Now find the volume:
![\displaystyle V=\left(\frac{3}{zx^{3}}\ inches\right)^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cleft%28%5Cfrac%7B3%7D%7Bzx%5E%7B3%7D%7D%5C%20inches%5Cright%29%5E3)
Applying the exponents:
![\displaystyle V=\frac{3^3}{z^3x^{9}}\ inches^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B3%5E3%7D%7Bz%5E3x%5E%7B9%7D%7D%5C%20inches%5E3)
![\displaystyle V=\frac{27}{z^3x^{9}}\ inches^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B27%7D%7Bz%5E3x%5E%7B9%7D%7D%5C%20inches%5E3)
The volume of the cube is
cu in.
The answer is the same as it was for your other posting of this question at brainly.com/question/10712448
dilation magnitude: 2/3
translation: 5 to the left and 4 down
Because it is normally set to only find real roots, not complex roots
if you are smart, you can use the factor function and use your head to find those roots