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rewona [7]
3 years ago
15

Jeremy wants to know the density of a rock in grams per cubic centimeter. The rock has a mass of 1.08 kilograms and a volume of

400 cubic centimeters.
What is the density of the rock, in grams per cubic centimeter (g/cm^3)?
Mathematics
2 answers:
baherus [9]3 years ago
6 0

Let's convert the units first.

1.08 kg * (1000 g)/(1 kg) = 1008 g

density = mass/volume

density = 1008 g / 400 cm^3

density = 2.52 g/cm^3

Answer: 2.52 g/cm^3

dezoksy [38]3 years ago
3 0

Answer:

Density of the rock is 2.7 grams per cubic centimeter.

Step-by-step explanation:

Jeremy wants to know the density of a rock in grams per cubic centimeter.

The rock has mass M = 1.08 kilograms

Since 1 kilogram = 1000 grams

Therefore 1.08 kilograms = 1.08×1000 = 1080 grams

Volume of the rock is given as V = 400 cubic centimeters

Now we know the formula of Density = \frac{mass}{volume}=\frac{M}{V}=\frac{1080}{400}=2.7

Therefore density of the rock is 2.7 grams per cubic centimeter.

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Three friends go to the movies and spend a total of $75.00. Each friend bought a ticket and a small popcorn that cost $8.25 how
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7 0
3 years ago
Sarah is driving. Her distance in km from Tempe after t hours of driving is given by: x = D(t) = 13 + 57t
777dan777 [17]

Answer:

The solutions for your four question problem are:

a) t = D^-1(x) =  (1/57)*x -(13/57)

b) t = D^-1(x) =  1 h

c) D^-1(x) represents time.

d) The number of hours of driving needed for Sarah to be x km from Tempe. (option (c))

Step-by-step explanation:

a) Determine a formula in terms of x for: t = D^-1(x)

The distance in km from Tempe after t hours of driving is given by

x = D(t) = 13 + 57t.

We just need to find the value  t function of x

x = 13 + 57*t

x -13 =  57*t

57*t  = x -13

t = (1/57)*x -(13/57)

We can see the plots of both equation in the picture below.

b) Compute D^-1(70)

Once we find the expression for D^-1(x)

We substitute for x = 70 km

t = D^-1(x) =  (1/57)*x -(13/57)

t = D^-1(x) =  (1/57)*(70) -(13/57)

t = D^-1(x) =  (70/57) -(13/57)

t = D^-1(x) =  (1.228) -(0.228)

t = D^-1(x) = 1 h

c) In the expression D^-1(x) :  what quantity (distance or time) does the x represent?  what quantity (distance or time) does the entire D^-1(x) represent?

x represents Distance in both equations (D(t), and D^-1(x))

t represents Time in both equations (D(t), and D^-1(x))

Since t = D^-1(x),

D^-1(x) represents time.

d) Which of the following statements best describes D^-1(x)?

The number of hours of driving needed for Sarah to be x km from Tempe.

Since, t = D^-1(x), and t represents the amount of time elapsed since Sarah, parted from Tempe, the correct answer is option (c)

The expression for D^-1(x) can be found in the previous answers

t = D^-1(x) =  (1/57)*x -(13/57)

The input is x (distance) and the output is t (time)

6 0
3 years ago
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