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

Answers

Answer 1

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 !)


Related Questions

A high school coach needs to buy new athletic shorts for 15 members of the basketball team. The coach must spend less than $200 and needs to determine how much he can spend per pair of shorts.

Answers

Answer:

Well i dont know the answers but it is 13.33

Step-by-step explanation:

He can spend 13 dollars per pair of shorts

At a birthday party pizzas and sodas were purchased for the kids. The number of sodas bought was two more than three times the number of pizzas. Pizzas cost $9.50 each and sodas cost $1.25 each. (c) A total of $68.75 was spent on pizza and sodas at the party. Let n be the number of pizzas purchased. Set up an equation involving n that models the scenario. Solve it and state both the number of pizzas and the number of sodas that were bought.

Answers

Answer:

5 pizzas and 17 sodas were bought

Step-by-step explanation:

Here, we want to get the number of pizza and sodas bought

Let n be the number of pizzas bought

we are told that the number of sodas bought was 2 more than 3 times the number of pizzas

So the number of sodas will be;

3n + 2

So let’s have the equations based on the prices;

pizzas cost $9.50, soda cost $1.25

Thus;

9.5n + 1.25(3n + 2) = 68.75

9.5n + 3.75n + 2.5 = 68.75

13.25n = 68.75 - 2.5

13.25n = 66.25

n = 66.25/13.25

n = 5

Number of pizzas bought is 5

number of soda is 3n + 2 = 3(5) + 2 = 15 + 2 = 17

If a train travels 1,600 km in 16 hours, how fast is it moving?

Answers

Answer:

100km per hour

Step-by-step explanation:

16/16= 1 hour

1600/16= 100

HELP!! Kate gets a paycheck twice a month. Every month, a total of $345.67 is deducted from her paychecks for taxes. If she has received 7 paychecks so far this year, which best represents the total effect the taxes have had on the amount she has earned??
–$2,419.69
–$1,209.85
$1,209.85
$2,419.69

Answers

The answer is 2,419.69

Answer:

d

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what is 2/5 of 110??

Answers

Answer:

44

Step-by-step explanation:

Remember that "of" in math means the same as multiplication.

2/5 * 110 = 44

Answer:

44

Step-by-step explanation:

2/5×110

of in mathmatics means multiplication

Therefore, the answer is 44

find the root of 5x-2=0
x=?​

Answers

Answer: 4

Step-by-step explanation:

If you multiply 5x-2 you will get -10

Do all the steps and you get 4

Therefore your answer is 4.

The answer is X=4

Add 20 to both sides cancelling out the left side then you divide 5 leaving the X on one side and 20 over 5 which is 4

Drag the tiles to the correct boxes. Not all tiles will be used.
Match each equation with a value of x that satisfies it.

Answers

Answer:

2, - 3, 18

Step-by-step explanation:

1). [tex]\sqrt[3]{1-x}[/tex] = - 1

( [tex]\sqrt[3]{1-x}[/tex] )³ = ( - 1)³

1 - x = - 1 ⇒ x = 2

2). [tex]\sqrt{x^2 +7}[/tex] = 4

( [tex]\sqrt{x^2 +7}[/tex] )² = 4²

x² + 7 = 16 ⇒ x = ± 3 ; x = - 3

3). [tex](x-2)^{\frac{1}{4} }[/tex] = 2

[tex][(x-2)^{\frac{1}{4} }] ^{4}[/tex] = [tex]2^{4}[/tex]

x - 2 = 16

x = 18

3/4 (4x+8)=-12. Distributive property

Answers

Answer:

x = -6

Step-by-step explanation:

I'm assuming you're solving for x

3/4 (4x + 8) = -12

you distribute the 3/4 to 4x and 8 so

3/4 times 4x = 3x

3/4 times 8 = 6

now looks like

3x + 6 = -12

3x = -12 - 6

3x = -18

x = -6

Brody had his computer repaired at Store A. His bill was:
Initial Repair Cost = $1,200
Sales Tax of 6 percent = $72.00
Gratuity of 15 percent
Explain how you would calculate the gratuity for the
services provided.

Answers

Answer:

Add the repair cost and tax to get the total amount. Then multiply the total amount by 0.15 to find the gratuity.

Step-by-step explanation:

This is sample response

The gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Brody had his computer repaired at Store A. His bill was:

Initial Repair Cost = $1,200

Sales Tax of 6 percent = $72.00

A gratuity of 15 percent

Total cost = 1200 + 72 = 1272

The gratuity for the services provided = 0.15x1272 = $190.8

Thus, the gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

Michelle has 3
3 cups of cereal. A serving of cereal is cup. How many servings of cereal does Michelle have?

Answers

Answer: 4/5

Step-by-step explanation:

Select the better deal in the pair. Then give the unit rate for the better deal.

$56/25 gal
or
$32.05/15 gal

Answers

Answer:

The better deal is $32.05/15 gal

Step-by-step explanation:

Divide:

56/25

=2.24

32.05/15

=2.13666667

=2.14

The second one is a better deal

Add, subtract, multiply or divide all for of these numbers to get a result equal or close to 51.

Numbers: 7, 8, 5, 6

You cannot add any new numbers. Please help i've been stuck on this for an hour now. :(​

Answers

7*8-6+5=55

6*5+7+8=45

5*7+8+6=49

I will continue in the comments

the value of y varies directly with x. when y = 7.5, x = 5. what is the value of y when x = 80?.

Answers

Answer:

Step-by-step explanation:

120 = y. the ratio is 3:2

80/2 is 40

40 times 3 is 120

120:80 = 3:2

Simplify the expression.
4² . 4². 4²

Answers

Answer:

16.16.16

Step-by-step explanation:

please let me know if I'm wrong

but I learned that you don't do 4×2 you have to multiply 4 twice by itself so it would be 16 because 4×4=16

Which statement is true about 1?
A. It is a prime number.
B. It is a composite number.
C. It is a whole number that is neither prime nor composite.
D. It is not a whole number.
Please dont be greedy and answer the question saying something like "i have no idea" Thanks

Answers

Answer:

C. It is a whole number that is neither prime nor composite.

Step-by-step explanation:

A prime number is a number that has two factors: one and another number. Thus, since 1 only has one factor (itself), it cannot be a prime number.

However, a composite number must have more than two factors, which 1 doesn't have either.

Since 1 is a whole number (not a decimal or fraction), and it is neither prime nor composite, the answer would be C.

Have a nice day!

Answer:

C!

Step-by-step explanation:

hope it helped

Based on the work shown to the left, which of
these values are possible solutions of the
equation? Check all of the boxes that apply.

Answers

Answer:

sorry i cant answer without the picture it wont make sense.

Answer:

A, D

Step-by-step explanation:

edge 2021

HELP!!
Select the correct answer.
Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% per year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, , in years, it will take the number of species to decrease to a value of n?

Answers

Answer:

Option A: f(x) = log_0.98 (n/74)

Step-by-step explanation:

We are told that that the number of species is decreasing by 2% per year.

Thus, number of species each year is 98% or 0.98 of number of species the previous year. .

We are told that there are currently 74 species of amphibians in the rain forest.

Thus, n/74 will represent a fraction of the current number of species.

Thus, the logarithmic function that models the time can be written as;

f(x) = log_0.98 (n/74)

Answer:

A. f(n) = log0.98(n/74)

(got it right on edmentum)

for your assurance please look at the picture below↓

PLEASE HELP I ONLY HAVE 17 MORE MINUTES!!!!

Answers

The answer is B- k= 1/6

Answer:

A. 6

Step-by-step explanation:

6/1 = 6

what is 0.969696 repeating as a fraction?

Answers

Answer:

[tex]\frac{32}{33}[/tex]

can someone please help me with please and thank you

Answers

Answer:

47 DEGREES

Step-by-step explanation:

AOB + BOC = 180 (STRAIGHT LINE)

THEREFORE

(3x + 124) + (6x + 29)  = 180

9x + 153 = 180

9x = 27

x = 27/9

x = 3

THEREFORE

6x + 29

(6*3) +29

18 + 29

47 DEGREES = BOC

mZ1 = 6x and mZ3 = 120 Find the value of x when p is parallel to g.

Answers

Answer:

20

Step-by-step explanation:

m Z1=mZ3 = 120

120÷6=20

X=20

Percy planted 4 tomatoes plants the first week of spring. He planted 11 tomato plants the second week of spring. What is the percent increase in the number of plants Percy planted?

Answers

Answer:

[tex]\%\ Increase = 175 \%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 4[/tex]

[tex]New = 11[/tex]

Required

Determine the percentage increase

This is calculated using the following formula:

[tex]\%\ Increase = \frac{|New - Initial|}{Initial} * 100\%[/tex]

[tex]\%\ Increase = \frac{|11 - 4|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{|7|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{7}{4} * 100\%[/tex]

[tex]\%\ Increase = 1.75 * 100\%[/tex]

[tex]\%\ Increase = 175 \%[/tex]

3. Formulate 900 lbs of a 35% CP ration using Soybean Meal (46% CP) and Oats (12% CP). How many pounds of soybean meal will be used? How many pounds of oats will be used?

Answers

Answer:

The amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

Step-by-step explanation:

Given that the Soybean Meal has 46% CP and Oats has 12% CP.

The total amount of ration is 900 lbs of 35% CP.

Let x pounds of Soyabean has been used, so,

the amount of Oats = 900-x lbs.

The CP amount in 900 lbs mixture will be equal to the sum of CP amounts in x lbs Soyabean and 900-x lbs Oats, i.e

35% of 900 = 46% of x + 12% of (900-x)

[tex]\Rightarrow \frac{35}{100}\times 900=\frac{46}{100}\times x+\frac{12}{100}\times (900-x)[/tex]

[tex]\Rightarrow 35\times 900 = 46x + 12\times 900 - 12 x[/tex]

[tex]\Rightarrow 34x= 900(35-12)[/tex]

[tex]\Rightarrow x = (900\times 23)/34[/tex]

[tex]\Rightarrow x = 608.82[/tex] lbs.

So, the amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

PLEASE HELP! ILL GIVE YOU BRAINLIEST!

Answers

Answer:

A.

Step-by-step explanation:

It is the final step when doing math like that.

Due to unexpected circumstances, you take out a loan for $5,000 to pay for a lawyer. You agree to pay it back over the next 5 years at a rate of 22.5% (because your credit score is really really low). At the end of the 5 years, how much did this "unexpected circumstance" end up costing you in all?

Answers

P=$5000
R=22.5
T=5yrs
I=PxRxT= 5000x22.5x5=50x22.5=1125x5=5625
———= ———————
100 =. 100
The answer is $5625

Write the equation of the line through the given points (3, 5) and (-3,-3) in the three different forms.

Point-Slope Form
Slope-Intercept Form
Standard Form

Answers

Answer:

y-5=1/3(x-3)

y=1/3x+4

no standard form

Step-by-step explanation:

which pair of numbers shows an integer and its opposite?
1 point
A.7 , -7
B.7 , 1/7
C.-7 , 1/7
D.1/7 , 1/7

Answers

The answer is A. 7 , -7 because and integer is a whole number not a fraction. Answers B, C, and D all have fractions.
The answer is a because the absolute value of -7 is 7 therefore the answer to the question is simply a

Tell me a fun fact about horses I will give brainliest to whoever tells me one I don’t know (I have been riding for 12 years) so I know a lot about horses also don’t answer this just for the points or else you will get reported

Answers

Answer:

Horses can sleep both lying down and standing up.

Step-by-step explanation:

what are the domain and the range ​

Answers

Answer:

Domain 1,3,5,7,9,11

Range 5,6,7,8,9,10

what are the steps to solve -8(p+2)+p=4(p+3)+5

Answers

Answer:

p = -3

Step-by-step explanation:

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