If the marble has a volume of 18,000 cubic centimeters, what are the dimensions of the marble?

Answers

Answer 1

The dimensions of the marble is thus 10∛18 cm when the volume is 18000 cm³.

What is volume?

An object's capacity is the amount of material it can hold inside, while an object's volume is the amount of space it takes up. Here, the cubic unit is used to measure either of the two.

Cubic units are used to measure volume. The quantity of cubes needed to completely fill any given figure, such as blocks in a box, is its volume.

As there is no  definite shape is given we can assume that the shape is cube.

Volume of cube = a³

given the volume 18000cm³

dimensions of the marble,

a × a × a = 18000

a³ = 18000

a = ∛18000

a = 10∛18

a = 26.21

Hence, the dimensions of the marble is thus 10∛18 cm when the volume is 18000 cm³.

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Related Questions

Solve using elimination
x+y=7
x-y=-3

Answers

Answer:

I think it's 4

Step-by-step explanation:

if x+y is 7 and x-y is 3 then the answer is 4

Answer:

X=2, y=5

Step-by-step explanation:

X+y=7

x-Y=-3

————-

2x+ 0 =4

2x=4

x=2

solve for y using either equation

x+y=7

2+y=7

y=5

check answers by substituting x and y value in either equation:

x+y=7

2+5=7

7=7

or

x-y=-3

2-5=-3

-3=-3

If Ms. Wong takes out a loan of 85000 dollars with a simple interest of 5% annually, how much would she have to pay in 2 years if she returns 35000 after the first year? Show your work and your thinking.

(PLEASE HELP !!)

Answers

85,000 + 5% = 89,250 , 85,000- 35,000 = 50,000* 5% = 52,500 so
Answer = 6,760 in interest + the original 85,000 = 91,750

What is the solution of 2.5z = 27.5

Answers

z=11 is the answer for this problem

Let's solve your equation step-by-step.

2.5z=27.5

Step 1: Divide both sides by 2.5.

2.5z/ 2.5 = 27.5/ 2.5

z=11

Answer:

z=11

simplify e with an exponent of in6

Answers

Answer:

Step-by-step explanation:

I think the exponent is ln6, not in6.

e^(ln 6)= 6

Part B: The weatherman claimed that the temperature on Friday was the opposite of Thursday’s temperature. Which of the following statements support this claim? Select all that apply.

A.
The temperatures on Thursday and Friday are opposites because they are on different sides of 0 on the number line.

B.
The temperatures on Thursday and Friday are opposites because they have a sum of 0.

C.
The temperatures on Thursday and Friday are opposites because they both contain a 3.

D.
The temperatures on Thursday and Friday are opposites because they are the same distance from 0 on the number line.

Answers

Answer:

it will be d

Step-by-step explanation:

because I had a assignment over this and I put d and got it correct

It says 33cm it’s messed up because it’s on a laptop but what’s the volume of this sphere :)

Answers

Answer:

1.51*10^5 cm^3

Step-by-step explanation:

the formula for the volume of a sphere is (4/3)pi(radius)^3

I can't really tell if the 33 cm is for the radius or the diameter, but it looks like the radius, so

(4/3)*(33)^3*pi

simplify

Im assuming you can use a calculator because it's too hard to do without because it's a huge number

help please will give brainliess

Answers

Card 1= 20

Card 2= nOt sure

Card 3=28

Card 4= 40

Hope this helps!

card 4 hope it helps!

pls answer this question​

Answers

Answer:

id kkk what the quequestion is

Step-by-step explanation:

help. mee


Write an equivalent expression for 3(3x + 5). Explain what property you used to write your equivalent expression.

Answers

Answer:

distributive property

9x+15

Step-by-step explanation:

The distributive property is whenever you have () and distribute until you have zero of these ()

The equivalent expression simply means write this equation differently.

how do you solve 3 divided by x -1 = x + 1

Answers

Answer:

multiply (x-1) to both sides and then subtract three from both sides

3 = (x-1)(x+1)

3 = (x^2 -1)

0 = x^2 - 4

(x-2)(x+2) = 0

x = 2

x = -2

Step-by-step explanation:

Things that are equivalent to 5 : 2

Answers

Answer:

2/5

Step-by-step explanation:

Answer:

10 : 4, 15 : 6, 20 : 8,

Step-by-step explanation:

increase the first number by 5 then add two to the second number

Find the requested information based on the given facts.

Total sales is $55,000.

The commission is 3.5%.

Determine the commission.

Answers

Using proportions, it is found that the commission is of $1,925.

What is a proportion?

A proportion is a fraction of a total amount, and operations such as multiplication or division are used to find the desired measures in the problem.

One example of application of proportions is for percentage problems, as the percentage is the desired amount divided by the total amount. To find the amount equivalent to a percentage, we multiply the decimal coefficient of the percentage by the total amount.

For this problem, the percentage is of:

3.5%.

Hence the decimal equivalent is:

3.5/100 = 0.035.

The commission is 3.5% of the total sales of $55,000, hence:

C = 0.035 x 55000 = $1,925.

Hence the commission is of $1,925.

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Evaluate each expression when y=5.

B. 4(y+3)

Answers

Answer:

B. 4(y+3)=4(5+3)=4×8=32

Answer:

32

Step-by-step explanation:

Step 1: Sub y = 5 into the expression

Find anywhere that has a 'y' and replace it with a 5

4(y+3)

4(5+3)

Step 2: Solve

Use BEDMAS to solve the expression

4(5 + 3)

4(8)

32

Step 3: Therefore Statement

Therefore the expression is equal to 32

Simplify

(2a²b)(4ab)

Answers

Answer:

8a^3b^2

Step-by-step explanation:

Two friends have recently graduated from college and are now looking for jobs. They are debating which type of job is better: hourly or salary. One hourly position that pays $18 an hour, with time-and-a-half pay for overtime. One salary position for the same type of job pays $38,000, does not pay for overtime. If employees work exactly 40 hours per week, which job has a higher hourly rate? How can we calculate this? Describe (compare) how these two different hourly rates would look when graphed as a line. When interviewing for the salaried job, the friends learn that they may have to work about 10 hours of overtime each week. Explain why this math is crucial to determining which job pays more.

Answers

Answer: This is a CRQ so you will want to answer using R.A.C.E

Step-by-step explanation:

First, restate the question: "If employees work exactly 40 hours the job with the higher pay rate is..."

Now let's figure it out who gets paid more. The hourly employee gets $18 per hour, for 40 hours each week... 18 times 40. That's $720 for each week.

But they don't work for just one week, they have to work the whole year! So that's 52 weeks. Take the $720 and multiply by 52 weeks.

Now you have the total for how much hourly guy will make in a whole year.

Compare this number with the salary guy who is making $38,000 per year. Which person get's paid more? Hourly or Salary? Don't forget to include your calculations!

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

Next part of the question: "When graphed as a line..." This part of the question you do not have to do because we did not cover slope of a line yet. (Hi, I'm your math teacher by the way lol)

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

Next part of the question adds 10 hours of overtime to their work week. This changes everything! Remember, the salary guy gets $38,000 every year, no matter how many hours of overtime he works.

However, the hourly guy gets extra money for these extra hours! For overtime, the hourly employee gets "time and a half" pay whenever he has to work extra time. This means he gets his original $18 per hour, AND now also gets half of that ($9 per hour) ... which adds up to a whopping $27 per hour for overtime (nice!)

Hourly guy works 10 extra hours per week, at $27 per hour. Multiply that and you get $270 per week. Remember, 52 weeks per year, so now take the $270 and multiply by 52 weeks. This gives you the total amount of overtime money hourly guy makes.

Combine his overtime money with his regular money (the first thing we did at the start of this problem) to get his new grand total for the year.

Salary guy still makes $38,000 per year. So now that they work overtime... who gets paid more?

Remember to answer in R.A.C.E format. Restate your question, Answer all parts of the question, Cite a math term/definition/concept that supports your answer (maybe use "hourly rate" or "salary"), and Explain your steps and thinking.

Good luck! send me an email for more help.

Mrs. B

(-10) + (-10) = 10 –
PLS HELPPPP

Answers

Answer:

Step-by-step explanation:

-10 + -10 = -20

so

10 - _ = -20

10 - 30 = -20

Remove parantheses:
-10 + -10 = 10

Simplify:
-10 - 10 = 10

Simplify:
-20 = 10

It's false so there is no solution

what is the distance between (-1,-2) and (8,10)

Answers

Answer:

x1 = 2, x2 =-8

y1=-2, y2 =-2

y2-y1 = |-2+2| =0

x2-x1= |-8-2|= 10

So distance is 10 units

Step-by-step explanation:

Three numbers have a ratio of 2: 3: 4. If the largest number if their sum is 24 what is the sum of the three numbers?

Answers

Answer:

Step-by-step explanation:

Let r be a multiplier.  Then 2r + 3r + 4r = 24, or

9r = 24, or r = 24/9 = 8/3

The three numbers are then (8/3)(2), (8/3)(3), (8/3)(4), and their sum is

(8/3)(2 + 3 + 4) = (8/3)(9) = 24.  But the problem tells us that!  Please check the wording of your question; something's not quite right there!

Please guys I need help

Answers

[tex]8000 \: pounds \times \frac{1 \: ton}{2000 \: pounds} = 4 \: tons[/tex]

[tex]7 + 4 = 11 \: tons[/tex]

Find the midpoint of the interval [-3, 6] along the number line.

Answers

Answer:

1.5 or 3/2

Step-by-step explanation:

The midpoint of the interval [-3, 6] along the number line is 1.5.

The midpoint of an interval is the point that lies exactly in the middle of the two endpoints.

To find the midpoint of the interval [-3, 6], we use the midpoint formula:

Midpoint = (Endpoint1 + Endpoint2) / 2

In this case, Endpoint1 is -3, and Endpoint2 is 6:

Midpoint = (-3 + 6) / 2

Midpoint = 3 / 2

Midpoint = 1.5

The midpoint of the interval [-3, 6] is 3/2. This means that the point exactly halfway between -3 and 6 on the number line is 1.5 units to the right of -3 and 1.5 units to the left of 6.

Visually, if you plot -3 and 6 on a number line, the midpoint 3/2 (or 1.5) would be located at the center, equidistant from both endpoints.

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-3 + 4g = 7g. Solve for g.

Answers

Answer:

g=-1

Step-by-step explanation:

-3 + 4g= 7g

-4g. -4g

g=-1

Isabel put $4,000 into a saving account that pays interest monthly at a simple-interest rate of 2.5% per year. If she takes the interest interest out of the account each month, how much money should she expect to earn after 6 months?

Answers

9514 1404 393

Answer:

  $49.98

Step-by-step explanation:

The interest credited to Isabel's account each month is ...

  I = Prt

  I = $4000·(0.025)(1/12) = $8.33

If she withdraws that amount each month, the original balance is restored, and she will earn the same amount the next month.

Isabel's total earnings in 6 months will be ...

  $8.33 · 6 = $49.98

What is X - 8 = 15.

Answers

Answer:

X = 23

Step-by-step explanation:

X - 8 = 15.

Add 8 to each side

X - 8+8 = 15+8

X = 23

the answer is 23

hope that helped^^

What is the unit ratio for 360 oranges growing to 9 trees

Answers

Answer:

360/9=40

Step-by-step explanation:

Answer:

40

all you have to do is divide the first term by the second term

example: 360 divided by 9 = 40

P = R+C help I need to get out of class plz help

Answers

Answer:

People's Republic of China

PRC means People's Republic of China.

Step-by-step explanation:

What is PRC? History of rebranding

All products manufactured in China were automatically considered low-quality items for a long period. Even the famous brand or name of the manufacturing plant did not manage to change this stereotype.

China has been the world leader in exporting and manufacturing industrial output since 2014. For the last 50 years, over 370 thousand new factories have started working in the PRC. To reduce the prime cost of goods, a lot of factories have been moved from Europe to China. The remaining factories, for example, those in Germany, France, and Spain, make products for their home markets but produce all goods for export in China.

When you are choosing household appliances pay attention to labels. You will find that most products of highly popular brands are marked “Made in China”. However, it doesn’t mean that – say – a kitchen unit is an imitation of a real food processor from Moulinex, for instance. The fact is that this unit was made at the Moulinex factory in China and it was then sent to your country. The real cost of the food processor produced in China is several times lower than the same one manufactured in and delivered from France. When ordering goods to be produced in China the seller earns more than when producing a similar product in France. Therefore there are so many European brands in our stores, which were produced in China.

European brands produced in China

Spare parts for smartphones from China

The case of spare parts for smartphones, tablets and laptops is even more complicated. It is commonly known that almost all spare parts are produced in China. Nevertheless, to buy a spare part for Samsung or Apple here is almost impossible. Their factories are protected by all means available. Spare parts from these factories are sent to Europe, where they are distributed among branches. Therefore you can buy the Original item only in the company's official representative office.

However, the Chinese people would not be Chinese if they were not able to make money on such expensive products. They manufacture the same spare parts but not at official factories. After learning the manufacturing technology of displays, touchscreens and flat cables, the local craftsmen create a device that can make spares identical to the original. Such spare parts are considered high quality products and belong to the High Copy level.

Original PRC means that the spare part consists of original components. For example, the seller has original LCDs and doesn’t have original touchscreens. In such cases, the High Copy touchscreen is installed on the original display. Such LCD module will be classified as Original PRC because one of its components is original. There can also be another scenario. Imagine that the seller has both the original LCD and touchscreen but the customer needs a module, not a separate spare part. In this situation, a handyman sticks together the LCD and the touchscreen and here is the module. Such a spare part is called Original PRC because it’s made of original components even though it is not manufactured at the official factory. The main difference between Original PRC and Original is the place where they were made. The quality of Original PRC spares doesn’t differ from Original. Still the difference in price is significant.

(hope this helps can i plz have brainlist :D hehe)

Use the slope formula to find the slope between the given two points.
(-4, -1) and (-2, -5)

Answers

Answer:

y2 -y1 over x2 - x1

Step-by-step explanation: plz mark brainliest

Which multiplication expression does the model represent?

Answers

Answer: I think the answer is A. because it's 1/2 of 4 and it takes only one "quarter of the 4" all though it is split in half it still decared as a whole

Step-by-step explanation:

The multiplication expression represent the model is 1/2×4.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

In the given figure, there are 4 equal parts.

One part is divided into two equal  parts.

1/2×4

Therefore, the multiplication expression represent the model is 1/2×4.

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PLS PLS PLS THIS IS VOCAB FOR MATH ONLY HAVE UNTILL 7:30 TO DO SEVERAL ASSIGHNMENTS1. a number belonging to the set made up of the counting numbers: 1, 2, 3, and so on

2. a number that is greater than zero

3. a line that graphically represents all numbers

4. a pair of numbers whose sum is zero

5. any number belonging to the set of counting number, or zero

6. a number that is less than zero

7. a number belonging to the set made up of the whole numbers and their opposites

8. two numbers that are the same distance from zero on the number line but in opposite directions

Answers

Answer:

1. natural numbers

2. positive

3. number line

4. zero pair

5. whole number

6. negative

7. integer

8. opposite

Step-by-step explanation:

This is my guess. Take it with a grain of salt. Have a great day!

Answer:

2. positive integers

3. number line

4. I don't know

5. whole number

6. negative integer

7. integers

8. absolute value???

What is the relationship between the angle of depression of a person looking down from the top of a hill at their friend standing on the ground and the angle of elevation of the person on the ground looking up at their friend who is standing on top of the hill?


a. the angle of elevation will be greater than the angle of depression because the person has to look up from the ground to see their friend at the top of the hill

b. The angle of depression and angle of elevation will add to 180°

c. The angle of depression and angle of elevation will be the same

d.The angle of depression would be greater than the angle of elevation because the hill is higher than the ground​

Answers

Answer:

C) angle of depression and angle of elevation will be the same.

this is because the horizontal for angle of elevation and angle of depression are parallel

therefore, the two angles are same (alternate angles)

hope it helps.

pls mark brainliest !!!

The correct answer is (c) The angle of depression and angle of elevation will be the same.

What is an angle of depression?

When a person is standing on top of a hill and looking down at their friend standing on the ground, the angle formed between the line of sight and a horizontal line is called the angle of depression.

Similarly, when a person on the ground is looking up at their friend who is standing on top of the hill, the angle formed between the line of sight and a horizontal line is called the angle of elevation.

Since the two angles are formed by the same two points and are measured with respect to the same horizontal line, they will be congruent or the same. Therefore, option (c) is correct.

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Find the value of X:

Answers

Answer:

x=9

Step-by-step explanation:

I took one side, and made proportions:

12:16

3:4

so, x-1:6=3:4

(x-1)/6=3/4

solve it for x=9

Answer:

9

Step-by-step explanation:

Hope this helps!

Plz Mark Brainliest!

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