A piece of aluminum occupies a volume of 12.7 milliliters and weighs 87.3 grams. What is its density of the aluminum rounded to the nearest hundredth? Only enter numerical values, which can include a decimal point.

Answers

Answer 1

Answer:

6.87 g/mL

Step-by-step explanation:

The density of an object can be found by dividing the mass by the volume.

[tex]density=\frac{mass}{volume}\\\\ d=\frac{m}{ v}[/tex]

We know that the aluminum occupies a volume of 12.7 milliliters and weighs 87.3 grams. Therefore, the mass is 87.3 g and the volume is 12.7 mL.

[tex]m= 87.3 g\\\\v=12.7 mL[/tex]

Substitute the values into the formula.

[tex]d= \frac{87.3 g}{12.7 mL}[/tex]

Divide 87.3 g by 12.7 mL

[tex]d=6.87401575 g/mL[/tex]

Round to the nearest hundredth. The 4 in the thousandth place tells us to leave the 7 in the hundredth place.

[tex]d= 6.87 g/mL[/tex]

The density of the aluminum is about 6.87 grams per milliliter.


Related Questions

Which system of equations is represented by the graph?

Answers

Answer:

               [tex]y=x\\\\y=\dfrac{-x+10}{x-4}[/tex]

Step-by-step explanation:

Red line is increasing and for any x goes the same y, so it's y = x

The blue graph is  [tex]y=\dfrac a{x-h}+k[/tex], where h=4 and k =-1 and for x=5 also y=5

It gives:

               [tex]5=\dfrac a{5-4}+(-1)\\5=a-1\\a=6[/tex]

So:

      [tex]y=\dfrac6{x-4}-1 =\dfrac6{x-4}-\dfrac{x-4}{x-4} =\dfrac{6-x+4}{x-4}=\dfrac{-x+10}{x-4}[/tex]

I think it’s easy can someone help pls......

Answers

Answer:

6

Step-by-step explanation:

I’m pretty sure the is 6

D( Geese fly in V formation. The V forms a right angle that has 16 geese on 1 side and 12 geese on the other side. How many gesse would fill in the gap between the ends of each sides of the V formation?

Answers

Answer:

20 gesse will fill the gap

Explanation:

We were told that the V forms a right angle which means the angle is at 90 degrees.

From trigonometry, for a right angle triangle we have the opposite, hypotenose and adjacent, then here the 12 side is the opposite and 16 sides is the adjacent, then the hypotenose will be the gap we are looking for using below expression

a²+ b²= c²

So,

12²+ 16²= c²

144 + 256 = c²

c=√(144 + 256)

c = √400

c=20

Therefore, 20 gesse will fly in the missing gap of the V formation.

CHECK THE ATTACHMENT FOR THE TRIANGLE

BEST OF LUCK

solve for x 4(x+2)=48

Answers

Answer: 10

Step-by-step explanation:

4(x+2)=48

4x+8=48

4x=40

x=10

Answer:

x=10

Step-by-step explanation:

4(x+2)=48

Divide each side by 4

4/4(x+2)=48/4

x+2 = 12

Subtract 2 from each side

x+2-2= 12-2

x = 10

Someone pls help me . I will mark you brainliest !! thank you sm .

Answers

Answer:

first one is 27.89, the second is 20.

Step-by-step explanation:

1. So the 340 dollars is determined by 9.50 multiplied by the amount of hours you show up (which we will call x), plus the 75 dollars.

Your equation will be set up like this : 9.50x +75 = 340

So, to get x, we must isolate it. so subtract 75 from both sides

9.50x +75 -75 = 340 -75           9.50x = 265

Now, since we know that 9.50 multiplied by x equals 265, to isolate and find out x (the hours worked during the pay period), we divide both sides by 9.50

9.50x/9.50 = 265/9.50          so, x = 27.89473684, but based off of the answers there, you would just round to x = 27. 89 hours worked.

2. So now the 120 chips are determined by 6 chips multiplied by the minutes, since 6 chips are eaten every minute, with the minutes represented as x, like this: 6x = 120

So this time, you don't subtract or add anything, you would just divide by 6 to isolate x.

6x/6 = 120/6                  so, x = 20 minutes.

A car is traveling on a highway. The distance (in miles) from its destination and the time (in hours) is given by the equation d = 420 minus 65 t. What is the practical meaning of the d-intercept? a. Initially the car is 355 miles from its destination. b. Initially the car is 420 miles from its destination. c. Initially the car is 65 miles from its destination. d. Initially the car is 485 miles from its destination.

Answers

Answer:

the correct answer is b. Initially the car is 420 miles from its destination.

Step-by-step explanation:

Determine what type(s) of angles are described by the following angle measures. Angle of 35 degrees.

Answers

Answer:

Acute.

Step-by-step explanation:

An angle of measure between 0 and 90 degrees is an acute angle.

Let $n$ be a positive integer. (a) Prove that \[n^3 = n + 3n(n - 1) + 6 \binom{n}{3}\]by counting the number of ordered triples $(a,b,c)$ of positive integers, where $1 \le a,$ $b,$ $c \le n,$ in two different ways. (b) Prove that \[\binom{n + 2}{3} = (1)(n) + (2)(n - 1) + (3)(n - 2) + \dots + (k)(n - k + 1) + \dots + (n)(1),\]by counting the number of subsets of $\{1, 2, 3, \dots, n + 2\}$ containing three different numbers in two different ways.

Answers

Answer:

Description of the given points can be defined as follows:

Step-by-step explanation:

In points A, If b is less than a and c. so, it calls the smiley face (a, b , c), so we'll have a smiling smile whenever we create a chart! And if b is bigger then a and c, then it should be an angry face, although when we switch the head inside out, they get a grumpy face.    

In point b,  the smirks, which including a greater than b and c, then it is the neutral faces like a is equal to and b equal to c , it can also be seen in certain forms of faces. When the facial is positive, therefore b and b is similar to c. because when we pick a, b and c, but there's a choice of n are neutral.

Its quantity of scowls has been counted. There are many n options to choose a or n-1 forms of picking b. Each value that we can choose for the could also have been the price of b or c. There is also multiplication by 3. Thus 3n(n-1) scowls were present.  

A number of happy face faces we note now. There will be n options for such a then n – 1 options for b, but n – 2 options for c. There were the happy faces of n(n-1)(n-2) = 3C(n,3). There are many grumpy face faces of the configuration of 3C(n,3).  

Thus, n^3 = n + 3n(n – 1)+ 6C(n,3) was its total amount of faces.

(b) We can select two groups of 2 categories one at two numbers to choose three numbers and the other with one group. Its total number of n+2 can be divided into two groups.  

First, there are many two numbers with one group, then n number in another one. This makes up n + 2 number of all. C(2,2) = 1 represents selecting two digits from the two sets. There are many C(n,1) = n forms to select a single organization amount. Which offers us a first 1*n term.

please help :) Which is a component of pseudoscience, but not science? A) explanations B) beliefs C) facts D) processes

Answers

The correct answer is B) Beliefs

Explanation:

Pseudoscience differs from science because this is based on personal beliefs or non-proven statements. For example, disciplines such as Astrology or Numerology are considered pseudoscience because these cannot be proven scientifically, are not based in facts or reality, and in general, do not follow the standards of science. This means one component of pseudoscience is that this is based on personal beliefs as pseudosciences do not follow the scientific method but this does not occur in science.

The correct answer is B) Beliefs

Explanation:

Pseudoscience differs from science because this is based on personal beliefs or non-proven statements. For example, disciplines such as Astrology or Numerology are considered pseudoscience because these cannot be proven scientifically, are not based in facts or reality, and in general, do not follow the standards of science. This means one component of pseudoscience is that this is based on personal beliefs as pseudosciences do not follow the scientific method but this does not occur in science.

The average monthly rainfall for 6 months was 28.5 mm. If it had rained 1mm more each month what would the average have been? By how much would the total have been increased in six months and by how much would average have been increased per month? What's the answer??

Answers

Answer:

29.5 mm

Step-by-step explanation:

We are told that the average monthly rainfall for 6 months was 28.5 mm.

Thus, total for the 6 months = 28.5 × 6 = 171 mm

Now, we are told that it rained 1 mm extra each month.

So extra for the six months = 1 × 6 = 6mm

New total for 6 months = 171 + 6 = 177 mm

So, new average for 6 months = 177/6 = 29.5 mm

Remember the type of word problems that have been posted this week. Now it's your turn. Create a word problem that can represent the expression 2x + 6

Answers

What is two times something and then add 6 to it

17. a(y + c) = b(y - c)
How do I isolate y?

Answers

Expand the products on both sides:

[tex]a(y+c)=b(y-c) \implies ay+ac=by-bc[/tex]

Move all terms containing y to one side:

[tex]ay+ac=by-bc \implies ay-by=-ac-bc[/tex]

Factor out y :

[tex]ay-by=-ac-bc \implies y(a-b)=-ac-bc[/tex]

Solve for y :

[tex]y(a-b)=-ac-bc \implies y=\dfrac{-ac-bc}{a-b}=-\dfrac{c(a+b)}{a-b}=\dfrac{c(a+b)}{b-a}[/tex]

Need to find the Domain and Range

Answers

Answer:

D: {x∈R | -2 ≤ x ≤ 2 }

R: {y∈R | 0 ≤ y ≤ 4 }

Step-by-step explanation:

The domain ranges between -2 and 2

The range ranges between 0 and 4

The sum of two numbers, x and y, Is 12. The difference of x and two times y is 6. What are the values of x and y?
A. x=8, y= 4
B.x= 10, y= 2
C. x = 18, y=-6
D. X= 20, y=-8​

Answers

Answer:

B. x = 10, y= 2

Step-by-step explanation:

10 plus 2 is 12 and when 2 is doubled and then subtracted from 10, the difference is 6

A lawn-mowing company is trying to grow its business. It had 18 clients when they started its business and wants to increase by 4 new clients each week. Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data.

Answers

Answer: y=18+4x

Step-by-step explanation:  Let y stand for the number of customers the business has in total, and x stand for the number of weeks that have passed. If the business increases by 4 clients per week as described by the scenario, then the range will go as followed: 18, 22, 26, 30...

y-3x=13 solve for y ‍♀️

Answers

Answer:

y = 3x+13

Step-by-step explanation:

y-3x=13

Add 3x to each side

y-3x+3x=3x+13

y = 3x+13

The value of y for the given equation y - 3x = 13 is calculated to be y = 3x + 13.

Given that:

y - 3x = 13

It is required to find the value of y.

In order to find the value of y, the equation has to be solved in such a way that y has to be kept on one side.

Consider:

y - 3x = 13

Add 3x on both sides.

y - 3x + 3x = 13 + 3x

y = 13 + 3x

Hence, the value of y is 13 + 3x.

Learn more about Equations here :

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Select the correct answer.
In which career would you most likely apply concepts from geometry?

Answers

Answer:

civil engineering..

hope it helps u

What is the product 1/2 * 1/8

Answers

Answer:

1/16

Step-by-step explanation:

........ .. .............

Answer:

1/16.

Step-by-step explanation:

If the question says to find the product, it means to multiply these numbers.

1/2✖️1/8.

Because you cannot cancel out any numbers, you can just multiiply the numerator and the denominator, which gives 1/16.

Hope this helped!

Have a nice day:)

what is the value of the angle ?

Answers

Answer:

47°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles

124° is an exterior angle , thus

77 + ? = 124 ( subtract 77 from both sides )

? = 47°

How to do this question plz answer me step by step plzz plz ​

Answers

Answer:

4 cm

Step-by-step explanation:

Volume of milk

LBH

L= 8, B= 5 and H =12

5×8×12=480

After rotation

L= 8, B=15 and H=x

V=LBH

480=8×15×x

480=120x

x=4cm

Answer:

The depth of the milk is 4cm when turned

Step-by-step explanation:

First we need to figure out how much milk is inside the container. We can do this by finding the volume it takes up. The milk's depth is 12cm so the height is 12 instead of 15. The length and width remain the same (5 and 8)

5x8x12=480 cm^3

The volume of the milk is 480, so when the carton is turned, the milk's volume still is the same

When it is turned, the base changes. Now it is 8 and 15 for the length and width. We just need to find the height.

8x15xh=480

120h=480

h=4

The depth of the milk is 4cm when turned

Will give Brainliest, Please show work.

Answers

Answer:

Hi, there!!

Hope you mean the answers in the solution.

Hope it helps...

Answer:

Step-by-step explanation:

7)

JKLM is a isosceles trapezium.

KL // JM

∠K + ∠J =  180   {Co interior angles}

50 +∠J = 180

      ∠J = 180 - 50

      ∠J = 130

As it is isosceles, non parallel sides KJ = LM &  

∠L = ∠K

∠L = 50

∠M = ∠J

∠M = 130

8)JKLM is a isosceles trapezium.

KL // JM

∠K + ∠J =  180   {Co interior angles}

100 +∠J = 180

      ∠J = 180 - 100

      ∠J = 80

As it is isosceles, non parallel sides KJ = LM &  

∠L = ∠K

∠L = 100

∠M = ∠J

∠M = 80

Melody wants to buy a present for her friend for her birthday. She wants to purchase a CD that costs $18. She thought she had $20 in her bank account, but she really has $16. What was her percent error?

Answers

Answer: 20%

Step-by-step explanation: $20-$16=$4. 4/20=1/5 or 20%.

Answer: Melody's percent error was 20%

Step-by-step explanation:

20-16=4

4/20=1/5


someone please expain how to do this, i’m really confused.

Answers

Answer:

13

Step-by-step explanation:

Basically, we have to plug in 4 for r into g(r). Doing so gives us g(4) = 25 - 3 * 4 = 25 - 12 = 13.

Some more examples:

g(6) = 25 - 3 * 6 = 25 - 18 = 7

g(1) = 25 - 3 * 1 = 25 - 3 = 22

Answer:g(4)=13

Step-by-step explanation:

g(4)=25-3r

25-3(4)

25-12

g(4)=13

I promise i will mark as brainiest

Answers

Answer:

A

Step-by-step explanation:

[tex] \frac{2003}{n} = z + \frac{23}{n} [/tex]

where z is an integer

[tex]2003 = nz + 23[/tex]

[tex]nz = 1980[/tex]

[tex]nz = {2}^{2} \times {3}^{2} \times 5 \times 11[/tex]

possible values of n

n= {1980, 990, 660, 495, 396, 330, 198, 180, 165, 132, 99, 90, 60, 45, 36, 30, 20, 18, 15, 5, 3}

cardinality of n=21

In the first quadrant you start at 5, 6 and move 4 units down. What point will you end up at? Thanks for your help! - Someone who's better at English than math

Answers

Answer:

(5, 2)

Step-by-step explanation:

(5, 6) go down 4 units means subtract 4 from the y

(5, 2)

The point to end up will be (5, 2).

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

In the first quadrant you start at (5, 6 ) and move 4 units down.

Now,

Since, In the first quadrant you start at 5, 6 and move 4 units down.

Hence, The end up point = (5, 6 - 4)

                                       = (5, 2)

Thus, The point to end up will be (5, 2).

Learn more about the coordinate visit:

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A dolphin is swimming with her friend. The dolphin jumps to a height of 4.5 meters above the surface of the water as her friend swims 9.8 meters directly below her.

Answers

Answer:

-5.3 meters

The dolphin's friend is 5.3 meters below the water surface

Step-by-step explanation:

Complete question below:

A dolphin is swimming with her friend. The dolphin jumps to a height of 4.54 meters above the surface of the water as her friend swims 9.8 meters directly below her. What is the position of the dolphin's friend relative to the surface of the water?

Solution

The dolphin jumps to a height of 4.5 meters above the surface of the water

Her friend swims directly 9.8 meters below her

The position of the dolphin's friend relative to the surface of the water= dolphins position above the surface of the water - her friend's position below her

=4.5 meters - 9.8 meters

= -5.3 meters

-5.3 meters means below the water surfaces

This means, the dolphin's friend is 5.3 meters below the water surface

a circular hall has a hemispherical roof. the greatest height is equal to the internal diameter .if the capacity of the hall is 43510 m^3 ,then the area of the floor is​

Answers

This building is basically a cylinder with a hemisphere on top. Let d be the diameter of the hemispherical roof. This is also the height of the entire building as the greatest height is this value (which is located at the center of the building)

The hemisphere itself is r = d/2 meters high, which is the radius of the roof. The cylinder portion's height must be d - r = d - d/2 = 2d/2 - d/2 = d/2 = r meters. So basically the cylinder and the hemisphere both have the same height of r.

At the same time, the cylinder and hemisphere also have the same radius r, or else the roof wouldn't fit on the cylinder.

------------------------------

Volume of cylinder = pi*r^2*h = pi*r^2*r = pi*r^3

Note how I replaced h with r and simplified.

Also,

Volume of hemisphere = (1/2)*(volume of sphere)

Volume of hemisphere = (1/2)*( (4/3)*pi*r^3 )

Volume of hemisphere = (2/3)*pi*r^3

------------------------------

Add the two volume expressions

total volume = (volume of cylinder) + (volume of hemisphere)

total volume = (pi*r^3) + (  (2/3)*pi*r^3 )

total volume = (3/3)pi*r^3 + (2/3)pi*r^3

total volume = (5/3)pi*r^3

------------------------------

Set this equal to 43510 and solve for r

(5/3)pi*r^3 = 43510

pi*r^3 = (3/5)*43510

pi*r^3 = 26106

r^3 = 26106/pi

r = (26106/pi)^(1/3)

r = 20.2549023450428

The building has a radius of approximately 20.2549023450428 meters

------------------------------

We can now compute the area of the circular floor

area = pi*r^2

area = pi*(20.2549023450428)^2

area = 1,288.87316044698

Answer: approximately 1288.87316044698 square meters

Round this however you need to

PLEASE HELP! 17 points! Use the right-hand rule for magnetic force to determine the charge on the moving particle. This is a _____ charge.

Answers

Answer: Positive Charge

Answer:

negative

Step-by-step explanation:

When using the Right-Hand Rules, it is important to remember that the rules assume charges move in a conventional current (the hypthetical flow of positive charges).  In order to apply either Right-Hand Rule to a moving negative charge, the velocity (v) of that charge must be reversed--to represent the analogous conventional current.

The opposite charge is a negative charge.

What is the values of x and y

Answers

Answer:

If you have given an equation, you see the x and y in it. Just taking second equation and think any common factor between x's variable. With common factor, multiply both and you will find the value of y and put it in any equation, you will find the value of X.

Answer:

Hey there!

I can't see the full problem, but if when x=0.5, y=4, then when x=4, y=32, and when x=9, y=72. You multiply by a common multiple to get from x to y.

Hope this helps :)

I need help with multistep equations

Answers

Answer:

1 2/3 = m

Step-by-step explanation:

2/3 = m+3/5 -8/5

Combine terms

2/3 = m-5/5

2/3 = m -1

Add 1 to each side

2/3 +1 = m-1+1

2/3 +3/3 = m

5/3 = m

1 2/3 = m

Answer:

[tex]\large \boxed{\sf m = \frac{5}{3} }}[/tex]

Step-by-step explanation:

2/3 = m + 3/5 - 8/5

Subtract the fractions since the denominators are same.

2/3 = m -5/5

Simplify the equation.

2/3 = m - 1

Add 1 to each side.

5/3 = m

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