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

PLS HELP
Determine the intercepts of the line. y=11x+6 (x and y intercept)

Answers

Answer:

Step-by-step explanation:

the xintercept is (-6/11,0)

y intercept is (0,6)

WHAT IS A TAPE DIAGRAM AND WHAT DOES IT LOOK LIKE?

Answers

Answer:

A rectangular visual model resembling a piece of tape with divisions used to assist mathematical calculations. Also known as a divided bar model, fraction strip, length model or strip diagram. In mathematics education, it is used to solve word problems.

Step-by-step explanation:

Answer:

Tape diagrams are visual models that use rectangles to represent the parts of a ratio.

Here's what it looks like

26 - 20f = 6 please help me

Answers

answer : f=1

explanation : subtract 26 from both sides and then divide by -20, making f = q

A proportional relationship exists between x and y. When x=8 the value of y is 14.

(a) Write an equation for y in terms of x.​

Answers

Answer:

Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]

Step-by-step explanation:

Proportion means that the change in one quantity causes change in other quantity.

Given that A proportional relationship exists between x and y.

It can be expressed mathematically as:

y ∝ x

When the proportionality symbol is removed, constant of proportionality is introduced which is usually denoted as k

[tex]y = kx[/tex]

Given that y=14 when x=8

Putting in equation

[tex]14 = k * 8\\k =\frac{14}{8}\\k = \frac{7}{4}[/tex]

Putting the value of k in equation

[tex]y = \frac{7}{4}x[/tex]

Hence,

Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]

the sum of two numbers is 21 . 3/4 of one of the numbers added to 2/3 of the other numbers added to 2/3 of the other gives a sum of 15. find the two numbers

Answers

The numbers are 15 and 9 .

Numbers are the basic foundation of mathematics. Numbers are used to represent quantity and used is basic arithmetic operations. Numbers can be categorized into a lot of different types such as real  or imaginary. Real numbers can be divided into integers , irrational numbers , whole numbers .The four basic arithmetic operations are multiplication , sum , division and subtraction.

Let us consider one of the given numbers be x .

Given the sum of the numbers is 21

therefore the other number = 21 - x

Now it is given that  [tex]\frac{3}{4}[/tex] of 1 number and [tex]\frac{2}{3}[/tex] of another number adds up to 15 .

∴ [tex]\frac{3}{4}[/tex] of x =  [tex]\frac{3}{4}x[/tex]  and  [tex]\frac{2}{3}[/tex] of another number =  [tex]\frac{2}{3}\times(21-x)[/tex]

Now the sum of the two new numbers is given as 15.

∴ [tex]\frac{2}{3}\times(21-x) +\frac{3}{4}x =15[/tex]

[tex]or, 14-\frac{2}{3}x +\frac{3}{4}x =15\\\\or, -\frac{2}{3}x +\frac{3}{4}x =15-14\\\\or, \frac{-8+9}{12} x=1\\\\or, \frac{1}{12}x = 1\\\\or, x=12[/tex]

So the other number is 21-12 = 9 .

Hence the two numbers are 15 and 9 .

To learn more about number visit:

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which equation represents the vertical line passing through (7,-3)
A. x=-3
B. y=-3
C. x=7
D. y=7

Answers

Answer:

B- y=-3

Step-by-step explanation:

When Adrian runs the 400 meter dash, his finishing times are normally distributed with a mean of 77 seconds and a standard deviation of 3 seconds. What is the probability that in a given race, his finishing time will be faster than 75 seconds, to the nearest thousandth?

Answers

Answer:

0.749

Step-by-step explanation:

We start by calculating the z-score

Mathematically:

z-score = (x-mean)/SD

z-score = (75-77)/3 = -2/3 = -0.67

The probability we want to calculate is;

P( X > -0.67)

we can use the standard normal distribution table for this

Using this table, the probability has a value 0.74857 which is 0.749 to the nearest thousandth

Which ratio is equivalent to 10:2

Answers

Answer:

5:1

Step-by-step explanation:

The ratio 10: 2 will be equivalent to ratios 20:4, 30:6, 40:8, and 50:10. Then all the options are correct.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The equivalent is the expression that is in different forms but is equal to the same value.

The ratio is given below.

Ratio = 10 / 2

Multiply and divide the ratio by 2. Then we have

Ratio = 10 x 2 / 2 x 2

Ratio = 20 / 4

Multiply and divide the ratio by 3. Then we have

Ratio = 10 x 3 / 2 x 3

Ratio = 30 / 6

Multiply and divide the ratio by 4. Then we have

Ratio = 10 x 4 / 2 x 4

Ratio = 40 / 8

Multiply and divide the ratio by 5. Then we have

Ratio = 10 x 5 / 2 x 5

Ratio = 50 / 10

The ratio 10: 2 will be equivalent to ratios 20:4, 30:6, 40:8, and 50:10. Then all the options are correct.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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The missing options are given below.

20:4

30:6

40:8

50:10

PLEASE!! For 22 points!!

Write the equation of the line that passes through the points (-4,-4) and (6,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y = 3/5x + 3/5.

Step-by-step explanation:

the /'s are division symbols.              3            3

                                                  y =     _   +       _

                                                           5            5

CL 2-125.
Explain what you are doing when you find the perimeter of a flat shape. How is that different than finding
its area?

Answers

Answer:

It is different because perimeter is the outside and area is the inside.

Step-by-step explanation:

(-55 +94i) + (13 – 12i) =

Express your answer in the form (a + bi).

Answers

Answer:

(−55+94i) + (13−12i) = (−42+82i)

Step-by-step explanation:

The sum of the two complex numbers, (a+bi) and (c+di), is ((a+c) + (b+d)i)

( -  55 +  94i) + ( 13 -  12i) =

 ( -  42 +  82i)  

Monique said the equation y=8.5x represents her summer babysitting earnings where x is the number of hours worked and y is the amount of money earned. What is Monique’s hourly pay?

Answers

Answer:

8.5

Step-by-step explanation:

8.5 is the coefficient in front of x

Jasmine found a wooden jewellery box shaped like a right rectangular prism. What is the volume of the jewellery box? MY TEACHER DIDNT TEACH US VOLUME. Ugh. ‍♀️

Answers

Answer:

Volume = Length × Width × Height

Step-by-step explanation:

A right rectangular prism is a three-dimensional object like the one shown in the attachment. It has dimensions: Length, Width and Height. All the angles between the sides are 90°. In order to calculate the volume of an object shaped like a  right rectangular prism, we use the following expression.

Volume = Length × Width × Height

A store sells bracelets that cost x dollars and necklaces that cost y dollars. Jessica bought 4 bracelets and 7 necklaces for $18. Brianna bought 5 bracelets and 4 necklaces for $13. Gabby bought 3 bracelets and 2 necklaces. How much money did Gabby spend on bracelets and necklaces?https://brainly.com/app/ask?q=A store sells bracelets that cost x dollars and necklaces that cost y dollars. Jessica bought 4 bracelets and 7 necklaces for $18. Brianna bought 5 bracelets and 4 necklaces for $13. Gabby bought 3 bracelets and 2 necklaces. How much money did Gabby spend on bracelets and necklaces?https://brainly.com/app/ask?q=A store sells bracelets that cost x dollars and necklaces that cost y dollars. Jessica bought 4 bracelets and 7 necklaces for $18. Brianna bought 5 bracelets and 4 necklaces for $13. Gabby bought 3 bracelets and 2 necklaces. How much money did Gabby spend on bracelets and necklaces?

Answers

Answer:

X=$7

Step-by-step explanation:

12)
A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services. Write a function to
model the cost of services there and then determine how many services you had if you were charged $115
A)
f(x) = 15x + 25; f(6) = 115
B)
f(x) = 25x + 15; f(6) = 165
f(x) = 15x + 25; f(0) = 125
D)
f(x) = 15x + 25; f(115) - 1750

Answers

Answer:

25+15x=115

Step-by-step explanation:

25+15x=115      115-25= 90  90/15=6

x=6

What does y and x equals using elimination

Answers

Answer:

I got x = -3/7, y = 20/7. Hope this helps :)

Una escalera de 131313 metros está recargada contra una pared cuando su base empieza a resbalar. Cuando la base está a 121212 metros de la pared, se mueve a una razón de 5\text{ m/s}5 m/s5, start text, space, m, slash, s, end text. En ese momento, ¿a qué razón está cambiando el ángulo \thetaθtheta entre el piso y la escalera?

Answers

Answer:

El ángulo entre el piso y la escalera está cambiando a una razón de -1 radian por segundo.

Step-by-step explanation:

Sea [tex]x[/tex] la distancia horizontal entre la pared y la base de la escalera y [tex]l[/tex] la longitud de la escalera, medidas en metros. Además, tenemos que [tex]\theta[/tex] es el ángulo entre la escalera y el piso, medido en radianes.

Si la pared y el piso son ortogonales entre sí, entonces podemos utilizar la siguiente relación trigonométrica que relaciona las variables anteriores:

[tex]\cos \theta = \frac{x}{l}[/tex]  (1)

Por diferenciación implícita y la definición de razón de cambio tenemos que:

[tex]-\sin \theta \,\dot \theta = \frac{\dot x}{l}[/tex] (2)

Donde:

[tex]\dot x[/tex] - Razón de cambio de la distancia horizontal entre la pared y la base de la escalera, medida en metros por segundo.

[tex]\dot \theta[/tex] - Razón de cambio del ángulo entre el piso y la escalera, medida en radianes por segundo.

Pero tenemos que el seno del ángulo está definido por:

[tex]\sin \theta = \frac{\sqrt{l^{2}-x^{2}}}{l}[/tex] (3)

Si aplicamos (3) en (2), expandimos la ecuación como sigue:

[tex]-\frac{\sqrt{l^{2}-x^{2}}}{l}\,\dot \theta = \frac{\dot x}{l}[/tex]

[tex]\dot \theta = - \frac{\dot x}{\sqrt{l^{2}-x^{2}}}[/tex] (4)

Si tenemos que [tex]\dot x = 5\,\frac{m}{s}[/tex], [tex]l = 13\,m[/tex] y [tex]x = 12\,m[/tex], entonces la razón de cambio del ángulo es:

[tex]\dot \theta = -\frac{\left(5\,\frac{m}{s} \right)}{\sqrt{(13\,m)^{2}-(12\,m)^{2}}}[/tex]

[tex]\dot \theta \approx -1\,\frac{rad}{s}[/tex]

El ángulo entre el piso y la escalera está cambiando a una razón de -1 radian por segundo.

what is the value of this expression below when x=10
6x-5

Answers

Answer:

55

Step-by-step explanation:

6(10)-5

=60-5

=55

PLS GIVE BRAINLIEST

Answer:

55

Step-by-step explanation:

for this problem, you would use substitution. What you do is replace the x in the 6x-5 expression with 10 (since x is already solved for 10).

6x-5 and x=10

substitute x for 10

6(10)-5

simplify

60-5

answer

55

Given ΔDEF : ΔRST, find x. 12 15 16 64

Answers

Answer:

12

Step-by-step explanation:

For ΔDEF similar to ΔRST, the value of x is 12. So, option a) is correct.

Two triangles are said to be similar if corresponding angles are equal or  corresponding sides are in the same proportion.

Given triangles are similar:

ΔDEF ~ ΔRST

Therefore, using the property of similar triangle that corresponding sides of a similar triangle are in same proportion.

[tex]\dfrac{EF}{ST}=\dfrac{ED}{SR}\\\\\dfrac{x}{16}=\dfrac{3}{4}\\\\x=\dfrac{3}{4}\times 16\\\\x=12[/tex]

Thus, the value of x is 12. So, option a) is correct.

Learn more about similar triangles, here:

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Find the sum (2x−6)+4(x−3) =

Answers

Answer: x=-2

Step-by-step explanation:  First we can multiply 4 times anything in the parantheses to get rid of it.

(2x-6)+4(x-3)

(2x-6)+4x-12

Then we combine like terms.

(2x-6)+4x-12

6x-6-12

6x-18

Finally we divide both sides 6.

6x-18

6x/6-18/6

x=-2

The final answer is x=-2

Hope this helps!

Btw this is a backup account

Answer:

6x - 18

Step-by-step explanation:

Distribute:  2x − 6 + 4x − 12

Group Common Factors: 2x + 4x - 6 -12

Solve: 6x - 18

I hope this helped, please mark Brainliest, thank you!

Can someone help me with the questions in the picture?

Answers

6.) -4/3x+4=y
7.) y=2
8.) Undefined

50 = 2x + 12
Solve step by step.

Answers

Answer:

x=19

Step-by-step explanation:

subtract 12 from each side: 50-12=2x+12-12

38=2x

divide by 2

38/2=2x/2

19=x

Answer:

x=19

Step-by-step explanation:

50=2x+12

50-12=2x+12-12

38=2x

38/2=2x/2

x=19

CAN U GUYS HELP ME WITH THIS?!!! I WILL GIVE BRAINLY AND 15 POINTS!!??? THANKSKSKS!

Answers

Answer:

3n - 7 = 2n + 5

Step-by-step explanation:

n=12

that is the answer

M divided by n times x , x ≠

Answers

Xxxxxxxxxxxxxxxxxxxxxxxx
The answer is mx/n

Hope this helps:)

Mr. Fink's economy car can travel 420 miles on a 12-gallon tank of gas. Determine how many miles he can travel on 8 gallons.

Answers

Answer:

280 miles

Step-by-step explanation:

So, 420 miles=12 gallons

That means that for 1 gallon you would be able to go 35 miles.

Just multiply that by 8. 35*8=280

Helps me solve this problem please

Answers

Answer:

Option 1: -2

Step-by-step explanation:

Take the rise over the run, where rise is the number of units vertically up the graph and run is the number of units horizontally across the graph

This is a topic on coordinate geometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I'll be uploading notes on this topic soon. At the meantime, you can take a look at other topics or some tips as well!

Guess this equation for brainliest



1 + 1 =?

2 X 4 = ?


2xy - y)/(x - 1) = ?


5 X 1

Answers

Answer:

1 plus 1= 2

2 × 4 = 8

5 × 1 =5

Step-by-step explanation:

IM SO SORRY IF IM WRONG! I just multiplied and added...

Answer:

1+1=2

2x4=8

?

5x1=5

Step-by-step explanation:

simplify the square root of 4x^6

Answers

Answer:

2x^3

Solution

You simplify to the lowest value possible 4x^6

2x^3

NEED HELP ASAP! Question in the photo.

Answers

Answer:

SAS Postulate

Step-by-step explanation:

You can use the SAS (side, angle, side) postulate that says "if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent"

Side AB is proportionate to DE and

Side AC is proportionate to DF.

Angle A and Angle D are the same; and is between the two sides

I hope this helps.

The pencils , p, we're divided into 6 groups of 2

⚠️⚠️Write an equation PLEASEE I’m almost done ⚠️⚠️

Answers

Answer:

6 divided by 2 =p (a made a little graph at the bottom to demonstrate)

Step-by-step explanation:

.  .  .  .  .  .          Graph←

.  .  .  .  .  .

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