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2 years ago

Diamonds have a density of 3.5 g/cm3. How big is a diamond that has a mass of 0.10 g?

Mathematics

1 answer:

devlian [24]2 years ago

7 0

Answer:x = 0.028571 cm3

Step-by-step explanation:

I the density is constant and a mass of 3.5 g takes up 1 cubic centimeter, how much volume will a mass of 0.20 g take (in cubit centimeters)?

So, let x be the volume in cubit centimeters.

the mass is to the volume is as the mass is to the volume

3.5g /(1 cm3) = 0,1g / (x cm3)

Cross-multiply to get:

3.5x = 0.1

x = 0.1 / 3.5 (divide both sides by 3.5)

x = 0.028571 cm3 (you probably should round this, but diamonds are expensive !)

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What are the solutions of the compound inequality 2d + 3 ≤ –11 or 3d – 9 > 15?

jolli1 [7]

Answer:

A. d ≤ –7 or d > 8.

Step-by-step explanation:

Given : 2d + 3 ≤ –11 or 3d – 9 > 15.

To find : What are the solutions of the compound inequality .

Solution : We have given 2d + 3 ≤ –11 or 3d – 9 > 15.

For 2d + 3 ≤ –11

On subtracting both sides by 3

2d ≤ –11 - 3 .

2d ≤ –14.

On dividing both sides by 2 .

d ≤ –7.

For 3d – 9 > 15.

On adding both sides by 9.

3d > 15 + 9 .

3d > 24 .

On dividing both sides by 3 .

d > 8 .

So, A. d ≤ –7 or d > 8.

Therefore, A. d ≤ –7 or d > 8.

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3 years ago

Part À : Find a rational number that is between 9.5 and 9.7 - Explain why is it rational

noname [10]

9514 1404 393

Answer:

A. 9.6

B. √92 ≈ 9.59

Step-by-step explanation:

A. 9.6 is a rational number between 9.5 and 9.7. It is rational because it is a terminating decimal.

B. √92 is an irrational number between 9.5 and 9.7. It is irrational because it is the square root of an integer that is not a perfect square. Its decimal value is about 9.59.

6 0

3 years ago

8. Jordan has $11.40 to spend at the used book store. Each book costs $280. How many books can Jordan buy?

inysia [295]

Answer:

Step-by-step explanation:

Jordan hasn't got enough money to buy any books, as $11.40<$280.

7 0

2 years ago

Read 2 more answers

A company logo is made up of a square and three identical triangles.

IgorLugansk [536]

Answer:

$the \: area \: of \: the \: logo \: is \: {91cm}^{2}$

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

$a = {a}^{2}$

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

$asquare = {7}^{2} \\ asquare = {49cm}^{2}$

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

$a = \frac{b.h}{2} \\ a = \frac{7.4}{2} \\ a = \frac{28}{2} \\ a = {14cm}^{2}$

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

$atriangles = 3a \\ atriangles = {42cm}^{2}$

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

$alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo = {91cm}^{2}$

4 0

3 years ago

What is 10 times as much as 60?

vfiekz [6]

10 time as much of something is basically just multiplication, so all you have do is multiply 60x10 which equals 600 :)

7 0

3 years ago

Read 2 more answers