Answer:
see explanation
Step-by-step explanation:
(a)
To change a mixed number to an improper fraction
Multiply the whole number by the denominator of the fraction and add the numerator. This value is the numerator of the improper fraction while the denominator remains unchanged, that is
(2 × 13) + 12 = 26 + 12 = 38 ← numerator
2 
= 
(b)
To change an improper fraction to a mixed number
divide the numerator by the denominator, noting the remainder, which forms the numerator of the fraction in the mixed number.
= 2 remainder 9, hence
= 2 
Answer:
2.4854848 miles (Rounded to 8 numbers) You can also round this to 2.49 miles.
Step-by-step explanation:
Hope this helps you!
Let me know if it does! :)
Options A, B and E are the correct options.
Expenses are represented with negatives and income by positive.
For option E, 6x - 2.5x = 3.5x
Answer: You would need 512 cubic centimetres
Step-by-step explanation: The first approach to this question would be to understand the properties of the shape given in the question.
If a cube has an edge with length 8 cm, then all edges measure 8 cm as well. That is one property of a cube. Hence, the length, width and height all measure 8 cm each.
The volume of a cube is given as follows;
V = L x W x H (and the answer is expressed as V³)
Since the length , width and height all measure 8 cm, the volume can simply be expressed as
V = L x L x L
V = L³
V = 8³
V = 512 cm³
Therefore to completely fill a cube with edge length of 8 cm you would need 512 cubic centimetres.
Answer:
Options C and E
Step-by-step explanation:
Option A. Circle
We can't get a cross section in the form of a circle.
Option B. Cube
We can't get a cross section in the form of a cube.
Option C. Rectangle
When we slice a rectangular pyramid parallel to the base but not through the vertex, we get a Rectangle.
Option D. Square
We can not get a square by slicing a rectangular pyramid.
Option E. Triangle
By slicing a rectangular pyramid perpendicular to the base and passing through the vertex we can get the cross section in the form of triangle.
Options C and E will be the answer.
