Two metal spheres having volume 50 cm cube and 60 cm cube are melted together to form a new sphere .What is the volume of the new Sphere so formed?​

Answers

Answer 1

Answer:

[tex]110cm^{3}[/tex]

Step-by-step explanation:

[tex]50cm^{3} + 60cm^{3} = 110cm^{3}[/tex]

The volume of an object stays the same no matter how you shape it, so the volume of the new sphere is the sum of the volume of the two metal spheres assuming that nothing is lost during the process of creating the new sphere.


Related Questions

Tommy bought a total of 30 apples and oranges for a classic picnic. Apple's cost $3 per pound and oranges cost $4 per pound. Tommy spent $100 total. How many apples and oranges did Tommy buy?​

Answers

Answer:

20 apples and 10 oranges

Step-by-step explanation:

Let amount of apples be x and oranges be y

Then we have:

x + y = 303x + 4y = 100

Subtract triple of the first equation from the second one:

3x + 4y - 3(x + y) = 100 - 3*303x - 3x + 4y - 3y - 10y = 10

Then finding x

x = 30 - 10 = 20

So apples = 20, Oranges = 10

x-6y + 4-12
x+y- 43 12
2+2y +5-13
Solve using substitution

Answers

Answer:

x-6y-8

x+y-4312

2y-6

Answer:

x-6y-8

X+y-4312

2y-6

Step-by-step explanation:

given

X-6y + 4-12

x+y- 43 12

2+2y +5-13

Solution

x-6y-8

X+y-4312

2y-6

i'll mark you as brainliest​

Answers

Answer:

the answer is 6

Step-by-step explanation:

The answer is 6, because 5x6=30

What type of relationship does there appear to be between price of gas and number of hybrid cars sold?
A) no relationship
B) quadratic relationship
C) exponential relationship
D) positive linear relationship​

Answers

Answer: C. Exponential relationship!

Step-by-step explanation:

Option C is correct,  exponential relationship is the type of relationship does there appear to be between price of gas and number of hybrid cars sold

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

We have to tell the type of relationship does there appear to be between price of gas and number of hybrid cars sold

There appears to be a Exponential  relationship between the price of gas and the number of hybrid cars sold.

As the price of gas increases, the demand for hybrid cars tends to increase, and as the price of gas decreases, the demand for hybrid cars tends to decrease.

Exponential relationship is the type of relationship does there appear to be between price of gas and number of hybrid cars sold.

Hence, Option C is correct,  exponential relationship is the type of relationship does there appear to be between price of gas and number of hybrid cars sold.

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Anyone understand this

Answers

using similar figures,
15/20 = (x+2)/(2x-4)

cross multiply,
15(2x-4) = 20(x+2)
30x-60 = 20x+40
10x = 100
x = 10

explanation : since the two triangles are similar figures, the ratio of the lengths of the base side will be equal to the ratio of the lengths of the slant side. to find the lengths on the larger triangle we simply add both values together.

hope this helps! feel free to ask if you’re confused by the explanation :-)

Graph the line that passes through the point (4,1) and is parallel to the line y= 1/2x + 6

please :)

Answers

Place a point on (4,1) then count one space up and two spaces to the right and plot the second point there. So (4,1) and (6,2). That should graph the line automatically when you place two points

In ΔNOP, \text{m}\angle N = (5x-8)^{\circ}m∠N=(5x−8) ∘ , \text{m}\angle O = (x-5)^{\circ}m∠O=(x−5) ∘ , and \text{m}\angle P = (6x+1)^{\circ}m∠P=(6x+1) ∘ . Find \text{m}\angle O.m∠O.

Answers

Answer: m<O = 11

Step-by-step explanation: you add angle N, O, and P to equal to 180° and when you solve that equation you get 11. Hopes this helps love u ❤️

The measure of angle O from the given triangle is 9°.

Given that, m∠N=(5x-8)°, m∠O=(x-5)° and m∠P=(6x+1)°.

We need to find the measure of angle O.

What is the angle sum property of a triangle?

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Now, m∠N+m∠O+m∠P=180°

⇒ (5x-8)°+(x-5)°+(6x+1)°=180°

⇒ 5x+x+6x-8-5+1=180

⇒ 12x-12=180

⇒ 12x=192

⇒ x=192/12

⇒ x=16

So, m∠O = 16-5=9

Therefore, the measure of angle O from the given triangle is 9°.

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will mark brainiest if correct. Need answers ASAP plz!!!!!

Answers

“Angle ADC are congruent to angle BCD” and the statement is “given”

Solve for x. Round your answer to two decimal places. Show your work for full credit.

Answers

Answer:

x ≈ 14.30

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Trigonometry

sin∅ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define variables

∅ = 39°

opposite leg = 9

hypotenuse = x

Step 2: Solve for x

Substitute:                              sin39° = 9/xMultiply x on both sides:       xsin39° = 9Isolate x:                                 x = 9/sin39°Evaluate:                                 x = 14.3011Round:                                    x ≈ 14.30

If a pair of shoes was 25% off and the original price was $80 how much is the amount of the discount?

Answers

The amount of the discount would be 20 Dollars

Select the graph that represents the correct answer to the equation.
5y = 3x - 5

Answers

Answer:

The second one.

Step-by-step explanation:

Hence, as per the graph image option (B) is correct.

What is an equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here the given equation is

[tex]5y=3x-5\\y=\frac{3x}{5}-1[/tex]

Put [tex]x=0[/tex]

[tex]y=-1[/tex]

Put [tex]x=-1[/tex]

[tex]x=\frac{-3}{5}-1\\x=\frac{-3-5}{5}\\x=\frac{-8}{5}\\x=-1.6[/tex]

Put [tex]x=1[/tex]

[tex]x=\frac{3}{5}-1\\x=\frac{3-5}{5}\\x=\frac{-2}{5}\\x=-0.4[/tex]

Draw the graph

Hence, as per the graph image option (B) is correct.

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Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes

Answers

Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes

Answer:

What graph

The time taken by the shipping company to pack 180 boxes is 15 hours.

What are the ratio and proportion?

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

The given graph is the direct relation and has a constant proportion as,

Book packed/hour = 60/5 = 12

With this constant of proportionality,

For 180 boxes,

180/hour = 12

Hour = 15

Hence "It takes the shipping business 15 hours to pack 180 cartons".

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Missing data shown below,

A forest has a large number of tall trees. The heights of the trees are normally distributed with a mean of 78 metres and a standard deviation of 9 metres.
Sketch and label a normal curve that represents the heights of trees.

Answers

Each vertical line is a standard deviation, which is given as 9 meters. The middle line would be the mean, which is given as 78 meters.

See attached picture:

An article reported on a school​ district's magnet school programs. Of the qualified​ applicants, were​ accepted, were​ waitlisted, and were turned away for lack of space. Find the relative frequency for each decision made and write a sentence summarizing the results.

Answers

Answer:

Step-by-step explanation:

Is there a chart to go by?

If A is the incenter of triangle CDE, find each measure.
a) mZDCE
b) m CDE
c) mzDAE
PLEASE HELP FOR GEOMETRY

Answers

9514 1404 393

Answer:

  m∠DCE = 58°

  m∠CDE = 74°

  m∠DAE = 119°

Step-by-step explanation:

The incenter is the point of intersection of the angle bisectors. The angles on either side of the bisector have the same measure. Of course, the sum of angles in a triangle is 180°.

  m∠DCE = 2×29° = 58°

  m∠CDE = 180° -58° -2×24° = 74°

  m∠DAE = 180° -74°/2 -24° = 119°

What is the value of x?

Answers

Answer:

x = 7

Step-by-step explanation:

all triangles add up to 180

(90 from the right angle)

90 + (4x) + (5x +27) = 180

117 + 9x = 180

-117          - 117

9x = 63

x = 63/9

x = 7

Answer:

x = 7

Step-by-step explanation:

All triangles add up to 180, and (90 from the right angle)

90 + (4x) + (5x +27) = 180

117 + 9x = 180

-117          - 117

9x = 63

x = 63/9

Therefore, x = 7

Charles Beaudry sells computer hardware for a computer firm. He is paid 4 percent commission on the first $8,000 of sales, 6 percent on the next $10,000 of sales, and 8 percent on sales over $18,000. What is his commission of $21,278 in sales?

Answers

As i don't want this to be to long

We break it down so

$8000 x 4% = $320

$10000 x 6% = $600

$8000 + $10000 = $18000

$24550-$18000 = $6550 x 8% = $524

Final answer

$320+$600+$524 = $1,444

Choose the mathematical sentence that most accurately expresses the
information in the problem, and would be most helpful in solving it.
After taking 4 pieces of fruit out of a bag, 12 pieces of fruit remained. How
many pieces of fruit were in the bag to start?
A. f: 4 = 12
B. 12 - 4 = f
C. 12 : f= 4
D. f-4 = 12
E. 4 + f = 12
F. 12 + f = 4

Answers

Answer:

D. f-4=12

Step-by-step explanation:

total fruits (f)

took 4

12 remained

taken + remainder = initial total

4  +  12 = f

f = 12 -4

Which equation has the same solution as x^2-x+11=8

Answers

Answer:

There are no real solutions to this equation.

Hope This Helps!

Work out the base of a square with area 225cm²​

Answers

Answer:

15cm

Step-by-step explanation:

Given parameters:

Area of the square = 225cm²

Unknown:

Base  = ?

Solution:

A square is a figure with equal sides.

Area of a square  = L²

L is the side length

    225cm²  = L²

       L = √225

       L = 15cm

The base of the square is 15cm

 

Step-by-step explanation:

answer .................

A gas station sells unleaded regular and unleaded premium gasoline. The price per gallon charged by the station is$1.299 for unleaded regular and $1.379 for unleaded premium. The cost per gallon from supplier is$1.219 for unleaded regular and $1.289 for unleaded premium. If equals the number of gallons sold of regular and equals the number of gallons sold of premium:(a) Formulate the revenue function from selling and gallons of the two grades of gasoline respectively?(b) Formulate total cost for purchasing and gallons?(c) Formulate the total profit? d) what is the total profit expected to equal if the station sells 100,000 gallons of unleaded and regular and 40000 of unleaded premuim?

Answers

Answer:

a) Revenue function = 1.299r + 1.379p

where: r = gallon of unleaded regular gasoline and p = gallon of regular unleaded premium gasoline

b) cost function = 1.219f + 1.289p

c) profit function = (1.299r + 1.379p) - (1.219f + 1.289p) = 1.299r - 1.219r + 1.379p - 1.289p = 0.08p + 0.09p

d) total profit = (0.08 x 100,000) + (0.09 x 40,000) = $8,000 + $3,600 = $11,600

2.9(x) = 4x + 8 What is g(8)?​

Answers

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[tex]g(x) = 4x + 8[/tex]

[tex]g(8) = 4(8) + 8[/tex]

[tex]g(8) = 32 + 8[/tex]

[tex]g(8) = 40[/tex]

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the anwser is : g(8)=40

Please help me with this problem!!! I have been trying to figure it out for the past hour and I still can’t figure it out. Thanks for your help and have a nice day!!!

Answers

?=6
It says my answer needs to have more characters, so I’m just adding this

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[tex] \frac{ {6}^{8} \times {6}^{3} }{ {6}^{5} } = \\ [/tex]

[tex] \frac{ {6}^{8 + 3} }{ {6}^{5} } = \\ [/tex]

[tex] \frac{ {6}^{11} }{ {6}^{5} } = \\ [/tex]

[tex] {6}^{11} \times {6}^{ - 5} = [/tex]

[tex] {6}^{11 - 5} = [/tex]

[tex] {6}^{6} [/tex]

Thus ;

[tex] {6}^{[6]} \\ [/tex]

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Espress the following in standard form 24.12


Answers

Answer: 2412(-2)
(-2)- small numbers

Explanation: you would divide (due to it being a negative 2) by two 10s to get your original number

Which angles are corresponding angles?

Answers

try A

Step-by-step explanation:

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{ \angle \: UTQ \: and \: \angle \: RQO}}}}[/tex]

Step-by-step explanation:

✎ The easiest way to think of a corresponding angles is ' F - pattern ' . In our case , [tex] \angle[/tex] UTQ and ∠ RQO are corresponding angles as they makes F - Shape .

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

is −2π rational or irational?

Answers

Irrational.
Rational means that you can write it as a fraction, you cannot express pi as a fraction therefore it’s not rational

what is the speed of a jet plane that travels 528 m in four seconds

Answers

Answer: 132 m/s

Step-by-step explanation:

Also known as "fast"

Answer: 132m/s

Step-by-step explanation:

Use the formula: speed = distance/time

Plug in your numbers: speed = 528/4

Solve: speed = 132m/s

(50 points) Suppose the light pattern from a fog light can be modeled by the equation x^2/25 - y^2/9=1. One of the points on the graph of this equation is at (6, 3 sqrt 11/5), and one of the x-intercepts is -5. Which coordinate is not a point on the graph?

Answers

Answer:

Both points are on the graph

Step-by-step explanation:

Given function

x^2/25 - y^2/9 = 1

To find

Check if given points are on the graph (6, 3 sqrt 11/5) and (-5, 0)

Solution

Verifying the points are on the line by substituting values of x and y:

1.............................

6^2/25 - (3√11/5)²/9 = 136/25 - 11/25 = 125/25 = 11 = 1Correct

2.............................

(-5)^2/25 - 0^2/9 = 125/25 - 0 = 11- 0 = 11 = 1Correct

Answer:

B

Step-by-step explanation:

Edge 2021

The pie chart shows information about visitors to restaurants in a town. 375 people had fish and chips. How many people had pizza?

Answers

Answer:

15

Step-by-step explanation:

Kellan just spent $45 on chocolate bars. If he purchased 60 chocolate bars, how much did each one cost?
Round to the nearest hundredth.

Answers

Answer:

0.75

Step-by-step explanation:

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