A large cube is made up of many small cubes. The volume of the large cube is 7.506×10^5mm^3. The volume of each small cube is 2.78×10^4mm^3. How many small cubes make up the large cube?

Answers

Answer 1

Answer:

27 small cubes

Step-by-step explanation:

Given that,

The volume of the large cube is [tex]7.506\times 10^5\ mm^2[/tex]

The volume of small cube is [tex]2.78\times 10^4\ mm^2[/tex]

We need to find how many small cubes make up the large cube. Let there are n small cubes. So, it can be calculated as follows :

[tex]n=\dfrac{7.506\times 10^5}{2.78\times 10^4}\\\\n=27[/tex]

So, there are 27 small cubes that make up of the large cube.


Related Questions

Write down the next two terms in this number pattern
2, 5, 9, 14, 20,0​

Answers

Answer:

+3,+4,+5,+6,-20

Step-by-step explanation:

its:

2+3=5

5+4=9

9+5=14

14+6=20

20- 20=0

i believe so

HELP ASAP 10) Determine the volume; just answer without the units
B
9.5 in.
3.75 in.
8 in.

Answers

Answer:

Volume is 285

Step-by-step explanation:

We start by calculating the area of the base

Mathematically, we have a rectangle as the base

So, the area of the base will be;

3.75 * 8 = 30

We now multiply this by the height to get the volume

we have this as:

30 * 9.5 = 285

SYSTEMS OF EQUATIONS WORD PROBLEM: The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 500 people. By selling​ tickets, the members would like to raise ​$3,350 every night to cover all expenses. Let d represent the number of adult tickets sold at ​$8.50. Let s represent the number of student tickets sold at ​$5.50 each. If all 500 seats are filled for a​ performance, how many of each type of ticket must have been sold for the members to raise exactly ​$3,350​? At one performance there were two times as many student tickets sold as adult tickets. If there were 360 tickets sold at that​ performance, how much below the goal of ​$3,350 did ticket sales​ fall?

Answers

first question: Number of student's ticket(s) = 400

And number of adult's ticket(d) = 100

Second question: The goal of $3050 fell by $710

sarah recives an inheritance of 180000.she decided to invest this for the next five years as part of her saving plan for a housing deposit. The first year she puts the money in the bank and earns 5.75% per annum interest.How much does she have at the end of the first year ?

Answers

Answer: 10350

Step-by-step explanation:

Amount invested = Principal = 180,000

Interest rate = 5.75%

Time = 1 year

The interest that is earned at the end of the first year will be:

= PRT

= 180,000 × 5.75% × 1

= 180,000 × 0.0575 × 1

= 10350

need help on this.....

Answers

Answer:

Possible answers 224   -2   23

Step-by-step explanation:

First, solve the inequality, but it is solved already in simplest form.

r can be anything less than or equal to 225

Possible answers 224   -2   23

As long as your answers are less than 225, it would be correct

find the 41st term of the arithmetic sequence
87, 89, 91

Answers

Answer:

167

Step-by-step explanation:

Its simple

Please help me with the question please ASAP ASAP please please ASAP please please help please please ASAP please please help please please
I’m begging people to help if love your loved ones help me please

Answers

Angle 1 - 60 degrees

Angle 2 - 30 degrees

Angle 3 - 60 degrees

Angle 4 - 30 degrees

Hope this helped! :)

the nth term of 17,29,41,53,65

Answers

Answer:

12n+5

Step-by-step explanation:

The difference is 12 so that means n is 12 and the +5 is what the number in the sequence is before 17

Can someone help me with this question? -3 + (x + 5) + 3

Answers

Answer:

+11

Step-by-step explanation:

Dustin Ambrose is married and claims 3 allowances. His gross weekly pay is $628.00. Each week he pays federal, Social Security, and Medicare taxes, $52.00 for medical insurance, and $23.50 toward his retirement fund.

Answers

Answer:

еиниемксцчуиетнмкчеимусцсуиеи

Plz help me get the right answer

Answers

that is the answer i hope you get it right!

Find x, the angle of depression from the top of a lighthouse that is 199 ft above water level to the waterline of a ship 1104 ft off shore. Round your answer to the nearest tenth of a degree.

Answers

Answer:

10.2°

Step-by-step explanation:

I'm not sure if my answer is correct and I'm not too good at explaining but I'll try.

The height of the triangle would be 199 ft and it's length would be 1104 ft. Since were looking for the angle of depression, the angle would obviously be outside of our triangle (as shown in the picture). The height and length wouldn't change at all so we can just label the imaginary lines with their corresponding measurements.

The angle that we're looking for is marked in the picture. Since we are given the opposite and the adjacent side, we can use the inverse of tan to figure out our angle, which is 10.2°.

You can also use the "Z" rule and our angle would be where it's shown in the third picture. Nothing would change because our opposite side would still be 199 ft and our adjacent side would still be 1104 ft.

Can someone pls help me?

Answers

Answer:

80 or 100

Step-by-step explanation:

hope you find the answer

Answer:

it's 105°

solution:-

Because we know that exterior angle of a triangle is equal to it's sum of the opposite interior angles.

Step-by-step explanation:

therefore,

ATP(according to the problem) - sum of opposite interior angles = ?

- 80°+25°= 105°

(Ans) is 105°

The total cost of a vase of spring flowers at a flower shop depends on the number of flowers ordered. Each flower costs $2.50. Which equation represents the relationship between the total cost, y, to the number of flowers, x?

Answers

Answer:

D. y=2.50x

Step-by-step explanation:

Since the equation asks for the total cost of a vase of flowers (y) that goes on the left side. Each flower costs 2.50 and the flower shop depends on the number of flowers ordered, which makes it a variable. Therefore C is wrong because it has 2.50 as a constant.

The ending equation will be y = 2.50x

Written in context this means that the total cost of a vase of flowers is equal to the cost of each flower (2.50) by how many flowers are ordered.

I hope this helps!!

- Kay :)

What is the surface area for this design?

Answers

Answer:

Surface Area = 157 in^2

Step-by-step explanation:

Surface area is the area of each side added together.

Front = Trapezoid =  b1 + b2 * h           5 + 9  *  5   = 27.5              

                                        2                        2                              

Back = Trapezoid =  b1 + b2 * h           5 + 9  *  5   = 27.5               27.5

                                        2                        2                                        27.5

Right = Rectangle = l * w                      6.4 * 5 =  32                           32

Left = Rectangle = l * w                           5 * 5 =  25                           25

Bottom = Rectangle = l * w                     9 * 5 =  45                           45

Top = Rectangle = l * w                          5 * 5 =  25                           25    

                                                                                                             157 in^2

Graph the solution of the inequality on a number line. 2(x - 3) - 5x < x-2​

Answers

Answer:

good luck with this, i have got a good mark in this lesson back then and i would gladly like to help you miss gilr

Step-by-step explanation:

Option D is representing the inequality 2(x - 3) - 5x < x-2​ on the number line.

What is a number line?

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that the inequality is 2(x - 3) - 5x < x-2​. The inequality will be solved as,

2(x - 3) - 5x < x-2​

2x - 6 - 5x < x - 2

-3x - 6 < x - 2

-3x - x < 6 - 2

-4x < 4

x > -1

The number line of the inequality is attached with the answer below.

To know more about number lines follow

https://brainly.com/question/28516910

#SPJ2

What is Ac Brainliest

Answers

Answer:

Ac is hypotenuse as c=90

Answer:

6

Step-by-step explanation:

let us call dc x

root(16+x2) =ac

root(25+x2)=bc

using the pytogoren theroum for traingle ABC we get

41+2x2=9 squared

41+2x2=81

2x2=40

x2=20

x=2 root 5

so then plugging the values in

you know ac=root(16+x2)

=root(36)

=6

3 friends want to go for a hike. (Level 4)They pack enough water to last for 6 hours. 3 more people join the hike.How long will their water last now?

Answers

Answer:

3 hours

Step-by-step explanation:

Because first 3 friends have water that last 6 hours when you double the amount of people you get less water, I don't speak good English to explain but you have to subtract 3 from 6 because 3 is amount of people that need water that lasts 6 hours and when you have more people you get less water sooooo you subtract 3 from 6.

Hope you understand!

2. ∠F and ∠S are supplementary angles, and ∠S is 99°. What is ∠F?
71°

Answers

Supplementary angles make up 180 degrees. 180 minus 99 equals 81

The sum of supplementary angles is 180°.

=> < F+<S=180°

Given: <S=99°

•• <F+99°= 180°

<F= 180°-99°

<F= 81°

Find the missing length of the triangle.
A = 3.4 cm
C = 1.6 cm
B = ?​

Answers

Answer: b = 3

Step-by-step explanation:

1. a^2 + b^2 = c^2

2. 1.6^2 + b^2 = 3.4^2

3. 2.56 + b^2 = 11.56

4. 11.56-2.56 = b^2

5. 9 = b^2

6. 3 = b

Is 3 step by step I think is that

I JUST NEED SOMEONE TO ANSWER THIS ONE QUESTION PLEASE!


Can a set of data have more than one line of best fit? Why or why not?

Answers

2 Answers. It is certainly possible (in mostly silly cases). For example, suppose you sample the same x value twice and get two experimental y values that differ. One such case might be getting the points (0,−1) and (0,1) if we sample x=0 twice.

Answer:

yes because for data you need more than one line.

Step-by-step explanation:

Prove that
cos 9°+sin 9°/cos9°-sin9° =cot 36°
plzz fasstttt i need to writw this!!!!!!!!!​

Answers

Answer:

Step-by-step explanation:

LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)  

Divide by Numerator  and Denominator   by  Cos9°  

LHS = (1 + Tan9°) / (1 - Tan9°)

       = (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)  

       = Tan (45°+9°)  

       = Tan 54°

       = Cot 36°

hope it helps :)

6) Two boats set off from X at the same
time (below). Boat A sets off on a bearing of 325° and with a velocity of
14 km/h. Boat B sets off on a bearing of 2350 with a velocity of 18 km/h.
Calculate the distance between the boats after they have been travelling
for 2.5 hours. Give your answer to the nearest metre.
A
N
X Х
B​

Answers

Answer:

The distance between the two boats after 2.5 hours is 57 m.

Step-by-step explanation:

The distance covered by each boat after 2.5 hours are:

speed = [tex]\frac{distance}{time}[/tex]

distance = speed x time

For boat A, speed = 14 km/h and time = 2.5 hrs.

So that,

distance = 14 x 2.5

              = 35 km

For boat B, speed = 18 km/h and time = 2.5 hrs.

So that,

distance = 18 x 2.5

              = 45 km

The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:

[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A

[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]

   = 2025 + 1225 - 3150 (0)

   = 3250

x = [tex]\sqrt{3250}[/tex]

  = 57.0088

x = 57.0 m

The distance between the two boats after 2.5 hours is 57 m.

$2200 at 7.5% for 3 1/4 year what is the interest rate

Answers

Answer:

$536.25

Step-by-step explanation:

First you find what 7.5% of $2200 is,

(2200/100)7.5=165

Then, you multiply 165 by 3 1/4 to find how much interest is accumulated over 3.25 years

165)3.25=536.25

Point A is located at (2, 4), After it is transformed, point A is located at (2,4), What could the
transformation be?

Answers

Answer:

4 units to the right

Step-by-step explanation:

(x,y)

so to go from -2 to 2 you must move 4 spaces.

On the x axis that is to the right.

Solve for x.

Please help !

Answers

Answer:

x = 37 1/2x = 2

Step-by-step explanation:

Parallel lines divide transversals proportionally. I like to write the proportions so the variable is in the numerator. Then the solution is obtained by multiplying by the denominator of the variable term.

1. x/20 = (46 -16)/16

  x = 20(30/16)

  x = 37.5

__

2. (x +4)/13.5 = 4/9

  x +4 = 13.5(4/9) = 6

  x = 6 -4

  x = 2

Question 9 options:
Review the diagram below.



Apply the properties of angles to solve for the missing angles.

Angle x is

Answers

Answer:

Angle X is 122°

Step-by-step explanation:

Because it's a 180° line (supplementary angle thm):

180°-58°=122°

Answer:

y = 62  

x = 122

Step-by-step explanation:

58 + 60 = 118

118 - 180 = y

118 - 180 = 62

y = 62

x = 180 - 58 = 122

Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?

Answers

285 is the answer to be correct

How many solutions will this equation have? 2(x + 4) = 2x + 8

Answers

Answer:

None

Step-by-step explanation:

This type of equation is a tautology, it will always be true

We want to see how many solutions does the given equation has.

We will see that the equation has infinite solutions.

The given equation is:

2(x + 4) = 2x + 8

To find how many solutions it has, we need to solve it, we first can distribute the product at the left to get:

2(x + 4) = 2x + 8

2x + 2*4 = 2x + 8

2x + 8 = 2x + 8

Note that we have the exact same thing in both sides, so the value of x can be any real number, and the equation will still be true.

This means that there are infinite solutions for the given equation.

If you want to learn more, you can read:

https://brainly.com/question/16797952

The measure of the sides of a triangle are 43, 72, and 91. Use the Pythagorean theorem to classify the triangles as acute, obtuse or right.

Answers

Answer:

i tjink its obtuse im not quite sure though im so sorty if its wrong.

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