The volume of the dilated cube is 
Explanation:
The volume of the cube is 
It is given that the cube is dilated by a factor of 5.
We need to determine the volume of the dilated cube.
Since, we know that the dilation is a transformation that changes the size of the image but not the shape.
Since, it is given that the volume of the cube is dilated by a factor of 5, the length of the image will be 5 times greater, the width of the image will be 5 times greater and the height of the image will be times greater than the original image.
Thus, the volume of the dilated cube is given by,
Thus, the volume of the dilated cube is
Answer:
The mean score in the maths test for class B was 12.41 points.
Step-by-step explanation:
Given that Class A has 12 pupils and class B has 29 pupils, and both classes sit the same maths test, and the mean score for class A is 52 while the mean score for both classes is 24, to determine what is the mean score in the maths test for class B the following calculation must be performed:
52 x 12 + X x 29 = 24 x (12 + 29)
624 + 29X = 24 x 41
624 + 29X = 984
29X = 984 - 624
X = 360/29
X = 12.41
Therefore, the mean score in the maths test for class B was 12.41 points.
567/18 = 31.5 shelves
i would round to 32 because you can't have half a shelf.
Answer:
(x, y) = (1, 2)
Step-by-step explanation:
y = 2x
3x + 4y = 11
3x + 4(2x) = 11
3x + 8x = 11
11x = 11
x = 1
So, y = 2.
