Metal A has a density of 2.4g/cm3 and metal B has a density of 1.8 g/cm3.Their masses are combined in the ratio 2 : 3 to make metal C which has a mass of 60 grams.Find the density of the metal C

Answers

Answer 1

Answer: 2 g/cm^3

Step-by-step explanation:

Remember the relation:

density = mass/volume.

Now, we know that:

Density of metal A = 2.4 g/cm^3

Density of metal B = 1.8 g/cm^3

We know that their masses are combined in the ratio 2:3

Then out of the total mass of metal C, 2 parts are from metal A and 3 parts are from metal B.

Mass of metal C = 60g

mass of metal A = (2/5)*60g =24g

mass of metal B = (3/5)*60g = 36g

Now that we know the mass of each metal, we can find their volumes by:

volume = mass/density

Volume of metal A = (24g)/(2.4g/cm^3) = 10cm^3

Volume of metal B = (36g)/(1.8g/cm^3) = 20cm^3

The total volume of metal C will be equal to the sum of the volumes of metal A and B, then:

Volume of metal C = 10cm^3 + 20cm^3 = 30cm^3

Then we know the volume and weight of metal C, then the density of metal C is:

Density of metal C = (60g)/(30cm^3)= 2 g/cm^3


Related Questions

Write in point-slope form an equation of the line that passes through the point (9, 3) with slope 6

Answers

Answer:

Step-by-step explanation:

y-3 = 6(x-9)

The hall has 10 windows that measure 2m across and 2m high. It also has 4
doors that measure 2m high and 1,8m across
i)
What is the area of all four walls in the hall (including all windows and
doors)?​

Answers

Multiply all of that and that’s your answer

Which of the following is not a possible answer to a probability question?
00
0 1.2%
O 120
O 2/3

Answers

Answer:

which of the following is not a possible answer to a probability question 2 by 3 that is not a probability questions answer because always a probability will come in the probability of an event ok so 232 want to come

ali is paid $200 for working 8 hours.How much is he paid for working 6 hours?​

Answers

Answer:

$150

Step-by-step explanation:

Hey! The answer is 150.
This is because he is paid 25 dollars an hour. So to figure out what he is paid for 6 hours, we need to multiply 6x25 which equals 150.

Hope this helps!! Have a great day!! :)

Solve for x, rounding to the nearest tenth if necessary.

Answers

Answer:

Pythagorean theorem: a^2 + b^2 = c^2, a and b are the sides, c is the hypotenuse (longest side).

27^2 + 25^2 = x^2

Solving for x, we see that it is approximately 36.8.

Let me know if this helps!

The function f(x) = 15x + 2 What is the meaning of the slope of the function?

Answers

Answer:

15

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

As an estimation we are told 5 miles is 8 km.
Convert 25.9 km to miles.

Answers

Answer:

15 miles i think but i think is a True

There are four blue and four green shirts in your closet. What is the probability you grab a blue shirt to wear on Monday?

Experimental or Theoretical?

Answers

Answer:

1/2

wkoskskekkkfkdoeowlw

Which fraction is equivalent to
-2/3

Answers

Answer:

-4/6

Step-by-step explanation:

x - 3/2 < -3
how do i solve this

Answers

Answer:

x<-3/2

Step-by-step explanation:

x-3/2<-3

Change its sign and move constant to the right hand side. Like this: x<-3+3/2

Calculate the sum. Like this: x<-3/2

So the answer is x<-3/2

In circle E with \text{m} \angle DEF= 30^{\circ}m∠DEF=30 ∘ , find the angle measure of minor arc \stackrel{\Large \frown}{DF}. DF ⌢ .

Answers

The measure of arcDF from the figure shown is 30 degrees

Circle geometry

Based on the symmetry of the figure given, we can say that the measure of<DEF is equal to the minor arc DF

Given the following parameters

m∠DEF=30 degrees

Since m∠DEF =  arcDF, hence the measure of arc DF is 30degrees

The measure of arcDF from the figure shown is 30 degrees

Learn more on circle geometry here: https://brainly.com/question/25306774

Find a, b and h so that f(x)= asin(b(x-h)). Round to two decimal places if necessary.
f(x)= sin 2x – 3 cos 2x
a.
a = 0.62
b=4
h = 3.16
b.
a = 3.16
b = 2
h = 0.62
c.
a = 3.16
b = 4
h=0.95
d.
a = 1.41
b=2
h= 0.62

Answers

Answer:

The answer is B

Step-by-step explanation:

I'm on edenuity too

The given function is f(x)= asin(b(x-h)) Thus, option B is the correct match for the values.

What are the six trigonometric ratios?

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

The given function is f(x)= asin(b(x-h)) where we have to find the value of a , b and h.

f(x)= sin 2x – 3 cos 2x

If we substitute the value of a, b and h then we get the same solution for both the equation.

a = 3.16

b = 2

h = 0.62

Thus, option B is the correct match for the values.

Learn more about trigonometric ratios here:

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#SPJ2

How can you tell that (448 + 217 + 34) × 9 is three times as large as (448 + 217 + 34) × 3 without doing complicated calculations?

Answers

I can tell that (448+217+34) x9 is 3 times larger than (448+217+34) x3 because the number inside the equations are being multiplied by 9 which is 3 times bigger than 3 ( the number being multiplied in the 2nd one)(3x3)


Multiply out and simplify (x - 6)²
Select your answer.
A x2 - 6x + 36
B x² + 12x - 36
C x²- 12x + 36
D x² - 12x - 36

Answers

C is the correct answer

(x - 6) (x - 6) = x^2 - 6x - 6x + 36
= x ^2 -12x + 36

Greg has 1/4 as many songs on his computer as mark. Raj has 6 fewer than 60% of the songs that mark has. Mark has 720 songs on his computer.

Answers

Answer:

Greg has 180 songs on his computer

Raj has 426 songs on his computer

Mark has 720 songs on his computer

Step-by-step explanation:

First you find out how much songs Greg has. He has 1/4 as many as mark so 720 x 1/4 = 180. This is because 720 x 1/4 is the same as 720/4. Now we know that Greg has 180 songs on his computer. Next, Raj has 60% of the songs Mark has so 60% of 720 is 432. Because he has 6 fewer than 60%, 432-6=426.

Therefore,

Greg has 180 songs on his computer

Raj has 426 songs on his computer

Mark has 720 songs on his computer

Hope this helps

cleo can paint a room in 8 hours. while phil can paint the same room in 6 hours. if they paint the room together. how long will it take them to paint the room?

Answers

Answer:

its a fraction so it would be 3  3/7

Step-by-step explanation:

Working together, it will take Cleo and Phil 3

__

3

7

hours to paint the room.

Let x represent the number of hours it will take to paint the room while working together.

__x

8

1 __x

6

5 1

24( __x

8

1 __x

6

) 5 24(1)

3x 1 4x 5 24

7x 5 24

x 5 ___

24

7

or 3__

3

7

FInd the value of x/

Answers

Answer:

x=18

Step-by-step explanation:

okay this is my last one.. I think dfghmhgfd

Answers

○=> Correct option :[tex]\color{plum}\tt\bold{(B)}[/tex]○=> Steps to derive correct option :

We know that :

[tex]\color{hotpink} \tt \: circumference \: of \: a \: circle\color{plum} = 2\pi r[/tex]

So, let the diameter of this circle be x.

Which means :

[tex] =\tt2 \times \pi \times r[/tex]

[tex] =\tt 2 \times x \times \pi = 12\pi[/tex]

[tex] =\tt 2x\pi = 12\pi[/tex]

[tex] =\tt x = \frac{12}{2} [/tex]

[tex] = \tt \: x = 6 \: m[/tex]

Thus, the radius of the circle Robert drew = 6 m

Since the circle in option B has a radius of 6 m, it is the circle Robert drew.

▪︎Therefore, the correct option is (B)

What is the zero of r(x)=8/3x−16

6

−16

16

−6

Answers

Answer:c

Step-by-step explanation:

I took the test

Eight avocados cost $4.
How much do 16 avocados cost?
How much do 20 avocados cost? $10 because it’s 0.50 per avocado
How much do 9 avocados cost?

Answers

Answer:

If each avocado costs 0.50, then 16 avocados would cost $8.00, 9 avocados would cost $4.50

Hope this helps! :)

please help me with this :D

Answers

○=> Correct option :

[tex] \color{plum}\bold{(C)} [/tex] Diameter of circle P is the same length as the radius of circle Q.

○=> Steps to derive correct option :

Given :

Diameter of circle P = 26 cm

Radius of circle P :

[tex] =\tt \frac{diameter}{2} [/tex]

[tex] = \tt \frac{26}{2} [/tex]

[tex]\color{plum} = \tt13 \: cm[/tex]

Thus, radius of circle P = 13 cm

Diameter of circle Q = 52 cm

Radius of circle Q :

[tex] = \tt \frac{diameter}{2} [/tex]

[tex] =\tt \frac{52}{2} [/tex]

[tex] \color{plum}= \tt26 \: cm[/tex]

Thus, radius of circle Q = 26 cm

Radius of circle R = 52 cm

Diameter of circle R :

[tex] =\tt radius \times 2[/tex]

[tex] =\tt 52 \times 2[/tex]

[tex]\color{plum} = \tt104 \: cm[/tex]

Thus, the diameter of circle R = 104 cm

☆ Conclusion :

▪︎Diameter of circle P is the same length as the radius of circle Q.

Therefore, the correct option is (C) Diameter of circle P is the same length as the radius of circle Q.

How many ways can you choose a manager and assistant from 7-person task force? *​

Answers

We are interested in selecting 2 people from the 7-person task force.

n = 7
r = 2

nPr = n! / (n-r)!

7!
------
(7-2)!

=
7!
----
5!

7×6×5×4×3×2×1
------------------------
5×4×3×2×1

= 7×6

= 42

Mary bought 5 pairs of gloves and 2 hats for $95. Mary received a text from her friend Joanna ask her to buy 4 pairs of gloves and a hat. Mary told Joanna that the cost was $70. How much does each pair of gloves cost? How much does the hat cost?

Answers

Answer: Each pair of gloves costs $15 and each pair of hat costs $10.

Step-by-step explanation:

Let x = Cost per pair of gloves

y= Cost per hat.

As per given, we have

[tex]5x+2y=95 \ \ \ \ (i)\\4x+y=70\ \ \ \ \ (ii)[/tex]

Multiply (ii) by 2 , we get

[tex]8x+2y=140\ \ \ \ (iv)[/tex]

Eliminate (i) from (iv), we get

[tex]3x=45\\x=15[/tex]

Put this in (ii), we get

[tex]4(15)+y=70\\60+y=70\\y=10[/tex]

Hence, each pair of gloves costs $15 and each pair of hat costs $10.

The first term of an arithmetic sequence is six. The fifth term of the sequence is -14. th Write a rule that can be used to find the nth term.​

Answers

Answer:

[tex]a_{n} = 11 - 5n[/tex]

Step-by-step explanation:

use the formula

[tex]a_{n} = a_{1} + (n - 1)d[/tex]

-14 = 6 + (5 - 1)d

-14 = 6 + 4d

-20 = 4d

d = -5

[tex]a_{n} = 6 + (n - 1)(-5) = 6 - 5n + 5 = 11 - 5n[/tex]

Ivanna made $133 for 7 hours of work. At the same rate, how many hours would she have to work to make $228?​

Answers

The answer is 12 duh

Mark spent $60 dollars on 4 shirts. How much was one shirt

Answers

Mark spent 15$ for one shirt
Answer is $15 one shirt
60/4
15

a pizza is removed from an over at 425°F. after 15 minutes, the pizza has cooled to 200°F

Answers

Answer:

sorry if im reading it wrong but...whats the question here??

Step-by-step explanation:

Find the measure of x in the right triangle.
X
21
2

Answers

Answer:

I'm not sure if this is the right answer b/c ur question is too vague but the answer is x = 67

Step-by-step explanation:

x + 21 + 2 = 90

x + 23 = 90

  - 23   - 23

x = 67

Find the first three terms of the sequence below.
Tn = 3n^2- 4n - 3

Answers

Answer:

Look on the internet , It's easy

Ebony was watering her garden. her garden was 21 feet long and 7 feet wide. what is the area of the graden that Ebony was watering?

Answers

A = lw (Area=length x width) 7x21= 147
The area is 147.

Answer:

Her garden is 147 square feet.

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