Please provide correct answers to the questions, thank you! 1. Translate the fol

Question

Please provide correct answers to the questions, thank you!
1. Translate the following into a mathematical equation. The density d of a material is directly proportional to the mass of the object m and inversely proportional to its volume V.

2. The variables x and y vary directly. When x = 5, y = 3. Write an equation that relates x and y.
3. y varies directly as x and inversely as z. If y=300 when x=3000 and z=60 Write the equation for the relationship between x, y, and z.

y =   

Please provide correct answers to the questions, thank you!
1. Translate the following into a mathematical equation. The density d of a material is directly proportional to the mass of the object m and inversely proportional to its volume V.

2. The variables x and y vary directly. When x = 5, y = 3. Write an equation that relates x and y.
3. y varies directly as x and inversely as z. If y=300 when x=3000 and z=60 Write the equation for the relationship between x, y, and z.

y =   


1. Translate the following into a mathematical equation. The density d of a material is directly proportional to the mass of the object m and inversely proportional to its volume V.

2. The variables x and y vary directly. When x = 5, y = 3. Write an equation that relates x and y.
3. y varies directly as x and inversely as z. If y=300 when x=3000 and z=60 Write the equation for the relationship between x, y, and z.

y =   
1. Translate the following into a mathematical equation. The density d of a material is directly proportional to the mass of the object m and inversely proportional to its volume V.

2. The variables x and y vary directly. When x = 5, y = 3. Write an equation that relates x and y.
3. y varies directly as x and inversely as z. If y=300 when x=3000 and z=60 Write the equation for the relationship between x, y, and z.

y =   

Explanation / Answer

1)

The density d is directly proportional to m and  inversely proportional to V, hence

d=km/V

here k is arbitray constant.

2)

y=kx

When

x = 5, y = 3, then

3 =5k

k =3/5

hence

y=(3/5)x

3)

y varies directly as x and inversely as z., hence

y= kx/z

If y=300 when x=3000 and z=60

300 =k *3000/60

k =6

hence

y= 6x/z

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