What is the smallest positive perfect cube that is a multiple of 180?

THIS IS 20 POINTS!!!! Hope you have a great day! :D

Answers

Answer 1

Answer:Factor it into its prime factors:

180 / 2 = 90

90 / 2 = 45

45 / 3 = 15

15 / 3 = 5

5 / 5 = 1

2 x 2 x 3 x 3 x 5

All of those factors pair should pair up in 3 members to make cube

2 x 2 x 2 x 3 x3 x 3 x 5 x 5 x 5 = (30)^3 = 27000

Smallest no. = 2 x 3 x 5 x 5 = 150

Step-by-step explanation:


Related Questions

I need help NOW please and if you can, go to my other questions and try to help me out with those tooo!!!!!!!

Answers

Answer:

B. y = sinx

Step-by-step explanation:

kasi yan ang "Tamang Sagot"

A triangle with a base of 9 m has an altitude of 12 m which would give you the area of the tranigle

Answers

Answer:

A=54

Step-by-step explanation:

A=hb/2

h=12 b=9

12x9=108

108/2

54 Area=54

You spent 2 hours on homework yesterday. Today you spend 4 hours. What is the percent of increase?

Answers

Answer:

See below

Step-by-step explanation:

With regards to the above, since 2hours was spent yesterday , and 4 hours today, the percentage of the increase would be 200%

The reason being that since double of the hours spent yesterday on homework were spent today, hence 200%

Hannah has a stickers she splits them evenly among 6 envelopes what expression shows how many stickers is in the envelope

Answers

Answer:

a/6

Step-by-step explanation:

Hannah has a total of "a" stickers.

Then, she divides the stickers into 6 envelopes, we can think of the envelopes as "groups".

This is what is called a quotient, and it is written as:

a/6

This is the number of groups of 6 elements of a, and in this case, represents the number of stickers that we will have in each one of the 6 envelopes.

what is 9(3y+2z) as a equivalent expression

Answers

Answer:

27y + 18z

Step-by-step explanation:

9(3y+2z)

Distribute the 9

9 * 3y + 9* 2z

27y + 18z

27y+18z ABCDEFGHIJKLMNO (ignore that random letter lol)

Suppose that an Individual has a body fat percentage of 18.8% and weighs 127 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
pounds

Answers

Answer:

14.8 pounds

Step-by-step explanation:

Here, we want to get the actual value made of fat from the body weight

What we have to do here is to multiply the percentage by the body weight

Mathematically, we have this as;

18.8% of 127 pounds

= 18.8/100 * 127 = 14.80 pounds

For a craft project, two equilateral triangles are taped together to create a quadrilateral.

2 equilateral triangles are connected at one side to create a quadrilateral with congruent side lengths.

What is the quadrilateral?

rhombus
rectangle
trapezoid
square

Answers

Answer its rhombus

Step-by-step explanation: i took the test

The quadrilateral formed by the taping together of two equilateral

triangles is a rhombus.

How can the type of quadrilateral formed be known?

The given types of triangles that form the quadrilateral are equilateral

triangles.

Given that the triangles have congruent side lengths, we have;

1) The side lengths of the quadrilateral formed are equal.

2) A pair opposite angles of the quadrilateral formed are equal to the interior angle of an equilateral triangle which is 60°.

3) The other pair of opposite angles are also equal to 60° + 60° = 120°.

The altitude of an equilateral triangle is perpendicular to the base.

Which gives;

4) The diagonals bisect each other at right angles.

Therefore;

The adjacent angles are supplementary

Which gives;

5) The opposite sides are parallel.

The above properties are the properties of a rhombus

Therefore;

The quadrilateral formed is a rhombus

Learn more about rhombus here:

https://brainly.com/question/927171

Can someone please help me with this problem! Hurry I need this answered by 11:59 it's currently 10:25 where I am located! I will also mark you are brainlest.

Answers

Answer:

Plot a point at (0, -9) Then go up five units and to the right 3 units.That will give you the line you are looking for

5, ?, 10, 12 and 1/2

Answers

What he/she said lol

determine the total numbers of zero
f(x) = 23 – 3x2 – 2x + 6

Answers

Answer:

f(x) = 29

Step-by-step explanation:

f(x)=23-(3x0)-(2X0)+6

f(x)=23+6

f(x)=29

Brie and Gillian were selling tickets to sports Night. Gillian sold about 6 adult tickets and 15 student tickets for a total of $48.00. Brie sold 8 adult tickets and 7 student tickets for a total of $38.00. What was the price of each ticket?

Answers

Step-by-step explanation:

Given data

let adults be x

and student be y

so

6x+15y= 48-----------1

and

8x+7=38-----------2

solve eqn 1 and 2

6x+15y= 48-----------1X 8

8x+7=38-----------2X 6

48x

+15y= 40

48x+7y= 38

subtract

8y=2

y= 2/8

y= 1/4

y= $0.25

from 8x+7=38

put y= 0.25

8x+7(0.25)=38

8x+1.75= 38

8x=38-1.75

8x=36.25

x=36.25/8

x=$4.5

Lester orders a book for $35. He must pay a shipping charge of 12%. Show how to find 12% of $35 by using benchmark percents, then find the amount of the shipping charge.

Answers

Answer:

$4.2

Step-by-step explanation:

1. 12%=0.12

2. 0.12 of $35 = 0.12 × $35

3. = $4.2

Estelle is helping at a community food drive by boxing up cans of soup. There are two sizes of boxes, large and small. Estelle fills 3 large boxes and 5 small boxes with 170 soup cans total. The boy working next to her fills 4 large boxes and 4 small boxes with 184 soup cans total. How many cans does each small box hold?

Answers

Answer:

The small box contains 21 cans

Step-by-step explanation:

Represent the small box with S and the large with L.

For Estelle:

[tex]3L + 5S = 170[/tex]

For the boy:

[tex]4L + 4S = 184[/tex]

Required

Determine the cans in the small box

[tex]3L + 5S = 170[/tex] --- (1)

[tex]4L + 4S = 184[/tex] --- (2)

Divide (2) through by 4

[tex]L + S = 46[/tex]

Make L the subject

[tex]L = 46 -S[/tex]

Substitute 46 - S for L in (1)

[tex]3L + 5S = 170[/tex]

[tex]3(46 - S) + 5S = 170[/tex]

Open bracket

[tex]128 - 3S + 5S = 170[/tex]

[tex]128 + 2S = 170[/tex]

Collect Like Terms

[tex]2S = 170-128[/tex]

[tex]2S = 42[/tex]

Divide both sides by 2

[tex]S = 21[/tex]

Hence, the small box contains 21 cans

How many 1/3inch cubes does it take to fill a box with a width of 2 2/3inches, Length 3 1/3, and height 2 1/3inches?

Answers

Answer:hope this helps

Thus, it takes 560 1/3 inch cubes to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches.

Step-by-step explanation:

SOMEONE PLS HELP WIL MARK U BRAINLIEST

Answers

I belive that the answer is -1

The Opposite Of The Opposite Of $800 Is $800. Is His Reasonign correct?
Explain

Answers

Answer:

umm... i belive yes.

Step-by-step explanation:

this is beacuse..

800 opposite wold be -800 right

and then the opposite of -800 wold be 800

so 800 is equal to 800 cus ya

so yes i belve that this is true.

Michael opened a savings account at an annual interest rate of 5%. At the end of 3 years, the account balance is $4630.50. If Michael did not add any other amounts to this account, how much was his initial deposit?

Answers

Answer:

$4026.52

Step-by-step explanation:

Given data

rate= 5%

time= 3years

A=$4630.50

P=?

we know that

A=P(1+rt)

$4630.50=P(1+0.05*3)

$4630.50=P(1+0.15)

$4630.50=P(1.15)

P=4630.50/1.15

P=$4026.52

The intitial amount is $4026.52

round 7,604 to the nearst thousand

Answers

Answer:

8,000

Step-by-step explanation:

You just drove your car 500 miles and used 20 gallons of gas. You know that the gas tank on your car holds 15 1/2 gallons of gas. What is the most number of miles you can drive on one tank of gas

Answers

Answer: 387 1/2 miles

Step-by-step explanation:

From the question, we know that 20 gallons can be used for 500 miles. Therefore, the gallons of gas per mile will be:

= 500/20

= 25 gallons per mile.

The number of miles that a 15 1/2 gallons will use will be:

= 25 × 15 1/2

= 387 1/2 miles

Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image
of the point.

Answers

Answer: (-5,-5) --> (-x,-y)

Step-by-step explanation:

90 degree rotation: (-y,x)

180 degree rotation: (-x,-y)

270 degree rotation: (y,-x)  

hey can someone please help me asap

Answers

Answer:

Nonproportional

Step-by-step explanation:

Hope This Helps

Fiona drives for 4 hours.
Her average speed is 25.5 mph.
How far does Fiona drive?

Answers

Answer:

102 is the answer

Step-by-step explanation:

i hope I'm correct

If Hannah can drive 20 miles in 4 minutes, what is her unit rate in miles per minute?

Answers

Answer:

5 miles per minute

Step-by-step explanation:

20/4 = 5miles

5 miles / minute

Find the value of x.

Answers

9514 1404 393

Answer:

  x = 110

Step-by-step explanation:

The sum of exterior angles of any (convex) polygon is 360°.

  x + 140 +110 = 360

  x = 110 . . . . . . . . . . . . subtract 250

Need help ASAP ILL LOVE U FOREVER

Answers

i can’t read the picture sorry but it’s really blurry:/

Please help me ASAP!!!

Answers

Answer:

Correct ones:

3ab = 10

m + 5 = 24

72 = 8p

Step-by-step explanation:

Use the equation below to find T, if w= 70, m= 11, and a = 3.
T=w-ma
T =
LI
Х
?
I need help

Answers

T is equal to 37.

t=70-11*3
t=70-33
t=37

Can some one help me on this pls :(

Answers

Answer:

Step-by-step explanation:

1= 2/3

2=5/6

3=21/40

4= 2 11/20

5= 1 1/3

6=5/6

7=1 1/2

8=9/10

9= 5 1/6

10= 2 1/2

HHHHHHHELP MEEEEEEEEEEE

Answers

Answer:

4th one is the right answer.

| x | -2 | 1 | 2 | 3 |

| y | -6 | 3| 6 | 9 |

Step-by-step explanation:

The x and y relationship is in the form y=kx and the graph starts from the origin.

Therefore the graph represents a proportional relationship which holds a equation y=x/3, where k=1/3.

Jazmin cuts two pieces of construction paper, the first piece is 44 cm and try other is 33cm. She wants to cut the paper into strips that are equal . How wide should Jazmin cut each strip?

Answers

Answer:

11 cm

Step-by-step explanation:

Obtain the lowest common multiple of the first piece and the second piece :

Multiples of :

44 : 1, 2, 4, 11, 22, 44

33 : 1, 3, 11, 33

From the multiples above :

The lowest multiple common in both 44 and 33 is 11.

Hence, Jazmin can cut each strip to a width of 11 cm

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