Answer:
Option D. y=6x
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
<em>Verify each case</em>
case a) y=(1/6)x+6
Is a linear equation, but is not a direct variation. The line not passes through the origin
case b) y=6/x
The equation represent an inverse variation
case c) y=6x-6
Is a linear equation, but is not a direct variation. The line not passes through the origin
case d) y=6x
The equation represent a direct variation
Well if it’s volume just multiply all the numbers together so 8x5= 40x3=120 so the answer would be 120
The rectangular prism is 187.5 - 125 = 62.5 cu.inches greater than the volume of cube.
<h3>What is Volume?</h3>
Volume is defined as the space occupied by a three dimensional figure.
It is given that
A cube's edge lengths are each 5 inches
A rectangular prism's length and width are also 5 inches, but its height is 
The volume of the cube is given by side * side * side
Volume of cube = 5 *5 * 5 = 125 cu. inches
The volume of cuboid = length * width * height
<h3>Volume of Cuboid = 5 * 5 * 15/2</h3>
Volume of Cuboid = 187.5 cu.inches.
Therefore the rectangular prism is 187.5 - 125 = 62.5 cu.inches greater than the volume of cube.
To know more about Volume
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<h2>
Answer: 14</h2>
Step-by-step explanation:
If we factorize the numbers, we may be able to surmise the GCF:
28 = 2 × 2 × 7
42 = 2 × 3 × 7
56 = 2 × 2 × 2 × 7
∴ the GCF is 2 × 7 = 14