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Viefleur [7K]
3 years ago
14

Gold has a density of 19.3 ​ g/cm3 ​, it is often made into a bar called a gold ingot. A certain gold ingot has a volume 51.8 cm

³.
What is the mass of the gold ingot?
Mathematics
2 answers:
kkurt [141]3 years ago
8 0
The gold ingot would be 999.74 grams. if one centimeter cubed has a mass of 19.3, then 51.8 centimeters cubed would have a mass of 999.74 grams.
Inessa05 [86]3 years ago
6 0

Answer: 999.74 g

Step-by-step explanation:

Given: Density of gold = 19.3\ g/cm^3

The volume of a certain gold ingot =51.8\ cm^3

We know that the formula of density is :

\text{Density}=\frac{\text{Mass}}{\text{Volume}}\\\\\Rightarrow19.3=\frac{\text{Mass}}{51.8}\\\\\Rightarrow\text{Mass}=51.8\times19.3=999.74\ g

Hence, the mass of  the gold ingot = 999.74 g

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A tank in the shape of a hemisphere has a radius of 7 feet. if the liquid that fills the tank has a density of 93 pounds per cub
professor190 [17]

The total weight of the liquid that filled the hemispheric tank to the nearest full pounds is 66775 pounds.

<h3>What is the volume of an hemisphere?</h3>

An hemisphere is half of a sphere. Therefore,

volume = 2 / 3 πr³

where,

  • r = radius

Therefore,

r = 7 feet

volume = 2 / 3 × 3.14 × 7³

volume = 2 / 3 × 3.14 × 343

volume = 2154.04 / 3

volume = 718.013333333

volume = 718.013

Therefore,

density = mass / volume

93 =  mass / 718.013

mass = 718.013 × 93

mass = 66775.24

mass ≈ 66775 pounds

learn more on hemisphere here: brainly.com/question/14527816

5 0
2 years ago
Evaluate expression of 2ac
miss Akunina [59]
We would do 2*a=4*c=6
4 0
3 years ago
Given that $x \le -7,$ identify all the correct conclusions. (A) $3x \le -21.$ (B) $3x \ge -21.$ (C) $-3x \le 21.$ (D) $-3x \ge
exis [7]

Answer:

Options A and D are correct choices.

Step-by-step explanation:

We have been given an inequality x\leq -7 and we are asked to find the correct options from our given choices.

Let us solve inequalities in our given options one by one to see which of these matches with our given inequality.

(A) 3x\leq -21  

x\leq \frac{-21}{3}

x\leq -7

We can see that option A gives the same answer as our given inequality, therefore, option A is the correct choice.

(B) 3x\geq -21

x\geq \frac{-21}{3}

x\geq -7

This inequality represented in option C gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option B is incorrect.

(C) -3x\leq 21

Dividing inequality by a negative number swaps inequality sign.

x\geq \frac{21}{-3}

x\geq -7

This inequality gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option C is incorrect.

(D) -3x\geq 21  

Dividing inequality by a negative number swaps inequality sign.

x\leq \frac{21}{-3}

x\leq -7

We can see that option D gives the same answer as our given inequality, therefore, option D is the correct choice.  

8 0
3 years ago
What is 3/4 divided by 1/24
Musya8 [376]
Dividing fractions is the same thing as multiplying by the reciprocal

3/4 x 24/1 = 18
7 0
3 years ago
Read 2 more answers
Work out the point of intersection of the lines<br> 2x + 3y = 11 and 2y = 13 – 3x
borishaifa [10]

Answer:

x = 3.4

y = 1.4

Step-by-step explanation:

2x + 3y = 11

2y = 13 – 3x, then y = (13 - 3x)/2

substitute for y:

2x + 3((13 - 3x)/2) = 11

reduce:

2x + (39 - 9x)/2 = 11

reduce:

2x + 19.5 - 4.5x = 11

subtract 19.5 from both sides of the equation and combine for x:

-2.5x = -8.5

divide both sides by -2.5:

x = 3.4

y = (13 - 3(3.4))/2 = (13 - 10.2)2 = 1.4

3 0
2 years ago
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