Answer:
15x^2 - 12x^3
Step-by-step explanation:
A rectangular block has 3 parts that play into its volume. length, width and height. The question gives us length and width in the form of x and 3x, so height is what's missing.
It gives us a bit more information saying the sum of its edges is 20. We also have to ask how many lengths, widths and heights are there. That may be a bit hard to understand, but is you are looking at a block I could ask how many edges are vertical, just going up and down. These would be the heights. There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.
Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:
4*x + 4*3x + 4*height = 20
4x + 12x + 4h = 20
16x + 4h = 20
4h = 20 - 16x
h = 5 - 4x
Now we have h in terms of x, which lets us easily find the volume just knowing x. To find the volume of a rectangular block you just multiply the length, width and height.
x*3x*(5-4x)
3x^2(5-4x)
15x^2 - 12x^3
Question doesn't give a specific value for x at all so you should be done there. Any number you plug in for x should get you the right answer
So we are trying to get the “y” alone, so to undo the division by -8, we will multiply both sides by -8, then simplify.
(-8) y/(-8) = (-8) 1/16
y = -8/16
and simplified:
y = -1/2
As we can see that the sides of the rectangle have been doubled
6.2 ft changed to 12.4 ft
Now when the sides have been doubled
the Perimeter will also be doubled
So the perimeter of new rectangle should be the double the perimeter of old rectangle
So perimeter of new rectangle = 2 (16 ) = 32 feet
Option C is correct
Answer: 16
Step-by-step explanation:
Let the number of candy Ed took be denoted as "x"
Since Joe ate twice the amount of candy Ed ate, then the number of candies joe ate will be denoted as "2x"
Since all together they ate a total of 48 candies, then the sum of the candies eaten by Joe and Ed is what gives a total of 48
This means:
2x + x = 48
3x = 48
X = 16.
