You have a box of tiles, each of which measures 6 by 10 inches. What is the least number of tiles you could use to form a square region? (Use this square to show how they would be arranged.) The prime factorizations of five numbers are given. Use them to find each of A and В​

Answers

Answer 1

The least common multiple can be used to find the smallest square formed by equal sized shapes

The least number of tiles to be used is 15 tiles

The arrangement of the tiles, with the 6 inch side as base is 3 rows by 6 columns of tiles

The reason the above responses are correct is as follows:

The unit area of each square tile = 6 inches by 10 inches

Therefore, the area of the square obtained is a factor of 6 × 10 = 60 in.²

The side of the square have 6 and 10 as factors

The lowest common multiple of 6 and 10 is 30

Therefore, the smallest square has a side length of 30 inches and an area of 30 in. × 30 in. = 900 in.²

The least number of tiles = Area/(The area of each tile)

Therefore, the least number of tiles = 900 in.²/(60 in.²/tile) = 15 tiles

The least number of tiles = 15 tiles

The arrangement of the 15 tiles are as follows;

With the 6 inch width side as the base, five tiles are arranged along the base, three more rows are constructed using the same process to form the 30 inch by 30 inch square to give 3 rows by 6 columns of tiles

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Related Questions

Divide (long division)

(4n^4+4n^3+16n^2)+4^2

Answers

9514 1404 393

Answer:

  n^2 +n +4

Step-by-step explanation:

Since the divisor has only one term, the quotient is formed by dividing the terms one at a time.

  [tex]\dfrac{4n^4+4n^3+16n^2}{4n^2}=\dfrac{4n^4}{4n^2}+\dfrac{4n^3}{4n^2}+\dfrac{16n^2}{4n^2}=\boxed{n^2 +n +4}[/tex]

__

Your long division tableau will subtract n^2×4n^2 = 4n^4 to form the new dividend 4n^3+16n^2. Then you will subtract n×4n^2 = 4n^3 to get the new dividend of 16n^2. The final quotient term is 4, and you will subtract 4×4n^2 to get a remainder of 0. You will have written the quotient as n^2+n+4.

plzzzz I need help

Name the geometric term(s) modeled by each object. 16. 17. 18. 19. a tablecloth 20. a partially-opened newspaper 22. a knot in a string 21. woven threads in a piece of cloth Draw and label a figure for each relationship. 23. Line AB intersects plane Q at W. 24. Point T lies on WR. 25. Points Z(4,2), R(-4, 2), and S are collinear, but points Q, Z, R, and S are not. 26. The coordinates for points C and R are (-1, 4) and (6,4), respectively. RS and CD intersect at P(3,2). Lesson 1-1 Points, Lines, and Planes 9​

Answers

Geometric terms are terms used for describing geometric objects

The correct responses for the geometric term modeled by each object are as follows:

16. The geometric term modelled by the tip of the needle is a point

17. The figure modelled by he rail track are lines including; Parallel lines and  intersecting lines

18. The figure modelled by the cloth is a plane with points

19. A table cloth models a plane

20. A partially opened newspaper models an angle, and two planes intersecting

21. Woven threads in a piece of cloth models intersecting lines

22.A knot in a string models a point on a line

Required:

To draw and model a figure for each relationship

Solution:

23. The required drawing of the model of line AB intersecting at Q and W is attached

24. The required drawing of the model of point T that lies on [tex]\overset \longleftrightarrow {WR}[/tex] is attached

25. The required drawing of the model of point Z(4, 2),  R(-4, 2), and collinear point S, with Q, Z, R, and S are not, is attached

26. The given coordinates are; C(-1, 4) and R(6, 4). The point P(3, 2) is the intersection of the lines [tex]\overset \longleftrightarrow {RS}[/tex] and [tex]\overset \longleftrightarrow {CD}[/tex]

The required drawing is attached

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PLEASE HELP ME WILL GIVE BRAINLIEST

Answers

Answer:

choose B

Step-by-step explanation:

so6e6e6ps7psp6sp6w6al6sl6a

If x and 60 make a right angles find the size of x.​

Answers

Answer:

38°

Step-by-step explanation:

hope this answer helps you

The area of a square is 36. A rectangle whose length is 1 more than twice
its width has the same area. What are the dimensions of the rectangle?

Answers

L 70, h89, w56!

hope this helps <3

Josie has $147 left on her checking account she writes a check for $56 and then gets paid $225 what is the balance in her checking account now?

Answers

Answer:

A

digit to ghzhzjujzj hazing

Step-by-step explanation:

Joslin uphill to

Gun giddy

My neighbor has two cats and both cats have yellow eyes.

Therefore when two cats live together, they will both have yellow eyes.

The given conclusion uses inductive reasoning because it is based on which of the following?

A two observations
B using previously-proven theorems to show that two cats living together will have yellow eyes.
C showing that all cats with yellow eyes live together
D many observations

Answers

A: two observations.

The rest would prove for definite but due to the lack of observations (one case, two observation) this allows us to disprove (most likely) this conclusion.

HELP!!! LOTS OF POINTS AND I GIVE BRIANLEST NO FAKE ANSWERS

Solve 4x − 2(x + 1) = 3x + 10

a)x = −12

b)x = 12

c)x = −8

d)x = 8

Answers

Answer:

= −12

Step-by-step explanation:

Answer:a)-12

Step-by-step explanation:

4x-2(x+1)=3x+10

4x-2x-2=3x+10

2x-2=3x+10

Collect like terms

-2-10=3x-2x

-12=x(a)

Help Please For Math Class

Answers

Answer:

the answer is B D and A.

Step-by-step explanation:

(ignore) hshehshsnebajjsjanananahabsn


Find the value of ab when a =
9/11
and b =
7/10
The answer is
(Simplify your answer.)

Answers

a= 9/11 and b=7/10

now,

ab = (9/11)×(7/10)

=63/110.......

the value of ab is 63/110 when a = 9/11 and b = 7/10

What is Simplification?

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given, the values of a and b are 9/11 and 7/10 respectively

thus,

ab = 9/11 * 7/10

simplifying it

ab = 63/110

Therefore, the value of ab is 63/110 when a = 9/11 and b = 7/10

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h=54+1/2at^2 solve for a
Im lost on if I should square the 1/2at first?

Answers

Answer:  a = (2h-108)/(t^2)

Other answer formats are possible.

===========================================================

Explanation:

Let's say we want to solve the equation h = 54 + 10a for the variable 'a'. This is relevant to the problem at hand don't worry.

What we'd do is two things

Subtract 54 from both sides Divide by 10

So the steps look like this

h = 54 + 10a

h-54 = 10a

(h-54)/10 = a

a = (h-54)/10

Now let's say we wanted to solve this equation: h = 54 + ca, where c is a constant and can stand in place of any number. The steps would be pretty much identical. Instead of dividing both sides by 10, we divide both sides by c. We can do this as long as c isn't zero of course.

That means the equation h = 54+ca solves to a = (h-54)/c

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

Why did I do those examples? To build up to the equation your teacher gave you.

Let's replace c with 0.5t^2

This is because 1/2 = 0.5

The 1/2at^2 is the same as (1/2t^2)a

So instead of a = (h-54)/c, we'd get a = (h-54)/(0.5t^2)

As a last optional and encouraged step, we can multiply every term by 2 to get rid of that decimal value.

Doing so makes a = (h-54)/(0.5t^2) turn into a = (2h-108)/(t^2)

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

Here's another way to solve:

h = 54 + (1/2)at^2

h-54 = (1/2)at^2

2(h-54) = at^2

2h-108 = at^2

(2h-108)/(t^2) = a

a = (2h-108)/(t^2)

In the second step, I subtracted 54 from both sides. Immediately afterward, I multiplied both sides by 2 so I could clear out the fraction. Then I divided both sides by t^2 to fully isolated the variable 'a'.

Show work please I need help asap

Answers

Answer:

12. -11

13. 2

Step-by-step explanation:

12. First recall the order of operations (BEDMAS): Brackets, Exponents, Division, Multiplication, Addition, Subtraction

For question 12 there is a division and its priority is before other operations in the equation so you must divide 16/-2 first which gives you -8.

From there because addition and subtraction is on the same level of order, you would do the question straight as it is shown (but replace 16/-2 with -8.

Your new equation is -10-8+7 = -11

13. follow the same as above using BEDMAS. It may help to look at it with additional brackets: ((-68)/(-4)) + ((5 x (-3))

keep in mind there’s an addition between the two

Division and multiplication is on the same level in BEDMAS so first divide -68/-4 = 17

Second multiply 5 x -3 = -15

Now you can combine the two answers using addition: 17 + (-15) = 2

What factors of -52 have the sum of -9

Answers

Answer:

Step-by-step explanation:

13 and 4 in some combination.

The larger number must be minus.

The answer is - 13 + 4 which leaves you with - 9

three candidates sat for mathematics examination and their probabilities of passing are 4/5,3/5 and 2/5.find the probability that at least one passed?​

Answers

hksjhuja kanhshke kkajbevbeks jjsbbwne k

Use the properties of exponents to simplify the expression (16a 12).
O A) 28
B)
640 18
C)
1
24a13
OD) 64218

Answers

Answer:

D

Step-by-step explanation:

The solution is in the attached file

The sum of two-fifths of y and one-sixth of h, minus 2

Answers

hi <3

i'm assuming you want the expression written out

it would be:

(2/5y + 1/6h) - 2

hope this helps :)

The average walking speed of a person is 4.8 kilometer per hour . Estimate the number of kilometer you could walk in 3 hours

Answers

Answer:

14.4 kilometers, not an estimate tho

Monico invests $9,000 at 2% simple interest for 1 year. How much is in the account at the end of the 1 year period ?

Answers

Answer:

9180

Step-by-step explanation:

9000*1.02

Answer:

There will be $8820 in Monico's account at the end of the one year period.

Step-by-step explanation:

9000*0.02 = 180

9000 - 180 = 8820

Have a nice day! :-)

Which of the following is an even unction?

Answers

Answer:

f(x) = |x|

Step-by-step explanation:

because f (–x) = f (x), so all of the signs are the same), then the function is even.

What is the 9th term of the geometric sequence with this explicit formula?
an= 4.(-2)(n-1)
A. -64
B. 1024
C. -2048
D. -1024
Algebra 1

Answers

Answer: B: 1024

Step-by-step explanation:

[tex]a_n=4*(-2)^{n-1}\\\\a_9=4*(-2)^{9-1}\\\\=4*(-2)^8\\\\=4*256\\\\=1024\\\\Answer\ B\\[/tex]

PLEASE HELP!!! Find the distance between the following two points: (3,7) and (5,0). Round to the nearest TENTH.

Answers

Step-by-step explanation:

7.3 when rounded to the nearest tenth

Find the slope of the line.
x= 4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope is m = (Type an integer or a simplified fraction.)
OB. The slope is undefined.

(Answer quickly)

Answers

The slope is undefined

Answer:

B

Step-by-step explanation:

x = 4 is a vertical line parallel to the y- axis with an undefined slope

A number increased by 10 is 32. How would I write that as an equation?

Answers

Answer:

4.

Step-by-step explanation:

Remember that “of” means multiplication, so from your question we infer the following equation:

(1/2)x + 10 = 12

First, subtract 10 from both sides:

(1/2)x = 2

Multiply both sides by 2 to eliminate the fraction:

x = 4

Now substitute for x in the original equation to prove this:

(1/2)x + 10 = 12

x = 4

(1/2)4 + 10 = 12

4/2 + 10 = 12

2 + 10 = 12

12 = 12

So the number, x, is 4.

it is an example of your question.

please mark me brainliest

!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 55

Step-by-step explanation:

To find the value of x

3x - 35 = 130 (vertically opposite angles are equal)

3x = 130 +35

3x = 165

x = 165/3

x = 55

Answer:

x= 55

Step-by-step explanation:

3x-35=130

3x=130+35

3x= 165

x=165/3

x=55

I hope I helped you^_^

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP 22 points

Answers

Answer:

Step-by-step explanation:

what u want to explain ?

josh and karl are 119 miles apart, traveling towards each other. If Victoria travels 12 mph and Alejandra travels 5 mph how long until they meet?

Answers

Answer:

v1+v2= 12+5= 17

T= s : (v1+v2)=119: 17= 7

Step-by-step explanation:

Ryan has 21 pencils. He wants to put the same number of pencils in each of 3 pencil holders. How many pencils will he put in each pencil holder

Answers

21 divided by 3 equals 7

7 pencils in each holder

:]

Ryan will put 7 pencils in each pencil holder.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in "m" in different ways and if following it, a second event can occur in "n"  ways; then the two events in succession can occur in m × n  ways.

Given that Ryan has 21 pencils, wants to put the same number of pencils in each of the 3 pencil holders.

Pencil = 21

Pencil holder = 3

Therefore, we will do as 21 divided by 3

21/3 = 7

Hence, there are 7 pencils in each pencil holder.

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describe impulse buying

Answers

Answer:

impulse bullying.

Step-by-step explanation:

Impulse bullying is like he is less likely to be a gang member. His bullying is more impulsive and may appear to be more random. Even when authorities are likely to impose penalties, he finds it impossible to prevent himself from engaging in the activity. He might be suffering from ADHD. Medication, behavioral therapy, and social skills training may help him. He will also most likely be bullied.

Asher pays $156 every 6 weeks for piano lessons. what is the price for per year for piano lesson?

Answers

Price for every 6 weeks= $ 156
Price for 1 week = 156/6 = $ 26

Assuming there are approximately 52 weeks in a year
Price for lessons per year = 26*52
= $1352

Sharon ran 140 meters directly toward school at a constant velocity. She ran that distance in 25 seconds. What was her velocity?

Answers

Answer:

5.6 meters/seconds

Step-by-step explanation:

140 : 25 = 5.6 meters/seconds

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