You can express the edge lengths in terms of "cubes" or you divide the total volume by the volume of a cube. It works either way.
Edge lengths are .. 80 cubes by 8 cutes by 13 cubes so total volume is .. (80 * 8 * 13) = 8320 cubes
In cubic inches, the volume is .. (20 in)*(2 in)*(3 1/4 in) = 130 in^3. The volume of a 1/4-in cube is (1/4 in)^3 = 1/64 in^3. Then the number of cubes that will fit in the prism is .. (130 in^3)/(1/64 in^3) = 8320 . . . . cubes
8320 cubes are needed to fill the rectangular prism.
There are different ways to solve a quadratic equation, the main ones that i'm thinking about right now are: 1) factor the equation as a product: ex: x^2+ 4x + 3 =0 (x+3) (x+1) = 0 x=-3 and x=-1 are the solutions. To find (x+p) and (x+q) you have to think that (p+q )have to be equal to the number that is multiplied by x, in my example it was 4 (3+1=4), (p times q) have to be equal to the last number of the quadratic equation, the one that is not multiplied by any x, that in my example is 3 (3 x 1= 3)
2) The other way to solve a quadratic function is by using a formula: given: ax^2 +bx +c=0 x= (-b +/- <span>√(b^2 -</span> 4ac)) / 2a
ex: 3x^2 + 4x -2=0 x= (-4 +/- √16-4(3)(-2)) / 6= (-4 +/- √16+24)/6= (-4 +/- <span>√40) / 6 now there are 2 possibilities: x= (-4+</span><span>√40) /6 and x= (-4 - </span><span>√40) / 6 I hope the examples were clear enough also if i did't get very nice numbers. Look closely to the sings + and -, they are very important</span>
The answer would be B) Car A travels more miles per gallon of fuel than Car B.
This is because Car B is shown on the graph to travel the same number of miles as Car A using 16 gallons of fuel, while Car A uses only 4 gallons. Thus, Car A travels further with less fuel. For problem 3: Let's write out the equation and try to solve. 5x + 1 = 3x + 7
First, subtract 3x from both sides. 5x - 3x + 1 = 3x - 3x + 7 2x + 1 = 7 Now, subtract one from both sides.