Answer:
C
Step-by-step explanation:
<h2>Answer:</h2>
![\begin{gathered} \text{Unit rate of blue car = 31}\frac{3}{5}mi\text{ per gallon} \\ \text{Unit rate of red car = 28 mi per gallon} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BUnit%20rate%20of%20blue%20car%20%3D%2031%7D%5Cfrac%7B3%7D%7B5%7Dmi%5Ctext%7B%20per%20gallon%7D%20%5C%5C%20%5Ctext%7BUnit%20rate%20of%20red%20car%20%3D%2028%20mi%20per%20gallon%7D%20%5Cend%7Bgathered%7D)
The blue car has traveled the greater distance on one gallon of gasoline
<h2>Explanation:</h2>
The formula for calculating the unit rate is expressed as shown:
![\text{Rate = }\frac{Distance}{\text{number of gallons}}](https://tex.z-dn.net/?f=%5Ctext%7BRate%20%3D%20%7D%5Cfrac%7BDistance%7D%7B%5Ctext%7Bnumber%20of%20gallons%7D%7D)
For the blue car
Distance = 39.5miles
Gallons of gasoline = 1.25 gallons
Get the unit rate:
![\begin{gathered} \text{Unit rate = }\frac{39.5}{1.25} \\ \text{Unit rate = 3}1.6\text{ }miles\text{ per gallon} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BUnit%20rate%20%3D%20%7D%5Cfrac%7B39.5%7D%7B1.25%7D%20%5C%5C%20%5Ctext%7BUnit%20rate%20%3D%203%7D1.6%5Ctext%7B%20%7Dmiles%5Ctext%7B%20per%20gallon%7D%20%5Cend%7Bgathered%7D)
The unit rate of the blue car as a mixed fraction is 31 3/5 miles per gallon
For the red car
Distance traveled = 22.4 miles
Gallons of gasoline = 0.8 gallons of gasoline
Get the unit rate of the red car;
![\begin{gathered} Unit\text{ rate = }\frac{22.4}{0.8} \\ \text{Unit rate = }28\text{miles per gallon} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20Unit%5Ctext%7B%20rate%20%3D%20%7D%5Cfrac%7B22.4%7D%7B0.8%7D%20%5C%5C%20%5Ctext%7BUnit%20rate%20%3D%20%7D28%5Ctext%7Bmiles%20per%20gallon%7D%20%5Cend%7Bgathered%7D)
From the unit rates, we can see that the blue car has traveled the greater distance on one gallon of gasoline since its unit rate is greater than that of the red car.
Simplifying
X2 + -6xy + -12 = 0
Reorder the terms:
-12 + X2 + -6xy = 0
Solving
-12 + X2 + -6xy = 0
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + X2 + 12 + -6xy = 0 + 12
Reorder the terms:
-12 + 12 + X2 + -6xy = 0 + 12
Combine like terms: -12 + 12 = 0
0 + X2 + -6xy = 0 + 12
X2 + -6xy = 0 + 12
Combine like terms: 0 + 12 = 12
X2 + -6xy = 12
Add '6xy' to each side of the equation.
X2 + -6xy + 6xy = 12 + 6xy
Combine like terms: -6xy + 6xy = 0
X2 + 0 = 12 + 6xy
X2 = 12 + 6xy
Simplifying
X2 = 12 + 6xy
Reorder the terms:
-12 + X2 + -6xy = 12 + 6xy + -12 + -6xy
Reorder the terms:
-12 + X2 + -6xy = 12 + -12 + 6xy + -6xy
Combine like terms: 12 + -12 = 0
-12 + X2 + -6xy = 0 + 6xy + -6xy
-12 + X2 + -6xy = 6xy + -6xy
Combine like terms: 6xy + -6xy = 0
-12 + X2 + -6xy = 0
The solution to this equation could not be determined.
Answer: 480 in cubed
Step-by-step explanation: volume is length * width * height so 8*5*12=480
HCF is 7 do you need explanation