Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 45 + 72?
O 3(15 + 24)
O 9(5 + 8)
O (5)(9) + (2)(36)
O (3)(15) + (8)(9)

Answer:

i) The distance between Sarah's house and the school is 9

ii) The distance between the school and the library is 5

iii) The distance between the library and the park is 9

iv) The distance between the park and Sarah's house is 5

2) The total distance Sarah travels is 28

Step-by-step explanation:

The given coordinates of the locations are;

Sarah's house (2, -5)

The school (2, 4)

Library (-3, 4)

Park (-3, -5)

Sarah's journey is;  From the house → The school → Library → Park → House

The distance, d, between two coordinate points, (x₁, y₁) and (x₂, y₂) is given as follows;

d = [tex]\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

i) Therefore, the distance between Sarah's house ((x₁, y₁) = (2, -5)) and the school ((x₂, y₂) = (2, 4)), d₁, is d₁ = √((2 - 2)² + (4 - (-5))²) = 9

Sarah's house → The school = 9

ii) The distance between the school ((x₁, y₁) = (2, 4)), and the library, ((x₂, y₂) = (-3, 4)), d₂ = √((-3 - 2)² + (4 - 4)²) = 5

The school → Library = 5

iii) The distance between the library ((x₁, y₁) = (-3, 4)), and the park ((x₂, y₂) = (-3, -5)), d₃ = √((-3 - (-3))² + (-5 - 4)²) = 9

The library → The park = 9

iv) The distance between the park ((x₁, y₁) = (-3, -5)), and Sarah's house ((x₂, y₂) = (2, -5)), d₃ = √((2 - (-3))² + (-5 - (-5))²) = 5

The park → Sarah's house → 5

2) The total distance = 9 + 5 + 9 + 5 = 28.

Answer:

3:2

Step-by-step explanation:

45, 30

both divisible by 15, so:

3 : 2

bc :

3*15 = 45

2*15 = 30

Answer: 2/3

Step-by-step explanation: 30÷5; 45÷5= 6/9=2/3

Answer:

[tex]\displaystyle d = \sqrt{65}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

Point A(3, 8)

Point B(-1, 1)

Step 2: Find distance d

Answer:

8.1

Step-by-step explanation:

the person who posted before was correct! they just forgot to change the format of the answer, see their response for an accurrate explanation :)

Answer:

4!

Step-by-step explanation:

In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.

So, we have to put vowels at each even position; only then the condition will be satisfied.

We can put this in 3! ways (permutations of A, I & U).  

For odd positions we can put 3-M's & a X. Total ways is 4!/3!   (as repetitions of M).

Hence, the answer is 4!/3! x 3! = 24 ways.  

24=4!.

The greatest 3 digit prime number is 997 and the smallest 2 digit prime number is 11. 997+11 = 1008

32^2 = 1024

1024-1008 = 16.

root(16) = 4

Answer:

Step-by-step explanation:

The following are characteristics of frequency tables:

A frequency is the number of times a particular event, category or value occurs. A Frequency table is a grouping or table that lists qualitative data into classes showing the number of observations or occurrence of items or data in each class.

Thus, the correct answer is -

Learn more about frequency distribution:

https://brainly.com/question/12635271

Answer:  108cm%2F%222+cm%22=54 .

Then you would add more rows like that for a total of

72cm%2F%222+cm%22=36 rows.

Step-by-step explanation:

many 2cm by 2cm square can be used to cover the rectangle without any spaces or overlapping.

It is possible because 72 and 108 are both divisible by 2.

You can start by lining up in row 54 such 2cm by 2cm squares along with one of the 108cm long sides,

Really hope this helped couldnt really see it

Answer:

If it doubles every 8 hours then

population = initial population * 2 ^ (hours / 8)

********************************************---------

after 26 hours

population increases by a factor of

2 ^ (26 / 8) = 9.51365692

************************************************--------

after 1 week, or 168 hours

population increases by a factor of

2 ^ (168 / 8) = 2 ^ 21 = 2,097,152

Answer:

the answer is 3x the width

I think this should be the answer

Answer:

-6

Step-by-step explanation:

-123456789101112131415

Answer:

C = 37.6991

Step-by-step explanation:

The equation for the circumference of a circle is given: C = π · d

where, d is the diameter of the circle.

Plug in the value of d = 12 and use the π button on the calculator.

C = π · 12

C = 37.6991

Answer:

2, 3, 4, 6, 8, 12, 16, 24, 48.

Step-by-step explanation:

Factors of 48 is 2, 3, 4, 6, 8, 12, 16, 24, 48.

48 is exactly divisible by factors of 48.

Answer:

Im not sure what the answer choices are supposed to be but i think it's out of C or D.

Step-by-step explanation:

Answer:

LSA = 56.5 cm²

Step-by-step explanation:

LSA = 2πrh

LSA = 2π(3)(3)

LSA = 56.5 cm²

Answer:

option C.

Step-by-step explanation:

since the graph y = 6x is shrunk by a factor of ½

it becomes y = 3x

to find one coordinate of this graph we put x = 1 so that we get y = 3

so one point we have is (1, 3).

and the other point is origin

[ for if you keep x = 0 then 3 × 0 = 0 so y comes 0 too.]

now this graph is translated 9 units in the negative y direction

so the point that initially was (0, 0) now becomes (0, -9).

we see that the only graph passing thru (0, -9) is C.

so the answer is option C.

[tex] \\[/tex]

[tex] \mathfrak{hope \: this \: helps \: ツ} [/tex]

Answer:

-3/2, -7/4

Step-by-step explanation:

The numbers have to be negative, and two rational numbers between -1 and -2 are -1.5 and -1.75 and fortunately for us, both are rational (can be expressed as fractions), -1.5 = -3/2 and -1.75 = -7/4

HPH (Happy to help)

Answer:

x = 96

Step-by-step explanation:

[tex]\frac{128}{x}: \frac{4}{3}[/tex]

x · 4 = 128 · 3

4x = 384

4x ÷ 4 = 384 ÷ 4

x = 96

Answer:

B. {All numbers less than 2}

Step-by-step explanation:

X + 5 < 7

Subtract 5 from each side

X + 5-5 < 7-5

x<2

All numbers less than 2

p=70°

q=32°

r=38°

Answer:

Solution given:

r=38°[inscribed angle on a same arc are equal]

p=½*140°=70°[inscribed angle is half of the central angle]

<OBA=38°[base angle of isosceles triangle]

again

<C=<B[inscribed angle is half of the central angle]

70°=<OBA+q

70°=38°+q

q=70°-38°

q=32°

12345678912345678902576

Answer:

314

Step-by-step explanation:

unit activity

Answer:

Step-by-step explanation:

1985:

x = 5 years  ( 1980 to 1985- 5 years)

0.142x + 1.93 = 0.142*5 + 1.93

                     = 0.71 + 1.93

                     = $ 2.64

1999:

x = 19 years

0.142x + 1.93 = 0.142*19+ 1.93

                     = 2.698 + 1.93

                     =4.628 =  $ 4.63

2010:

x = 30 years

0.142x + 1.93 = 0.142*30 + 1.93

                     =  4.26 + 1.93

                     = $ 6.19

Answer:

The sum of the first 50 is 5200

Step-by-step explanation:The given sequence is a linear sequence.

So, first we calculate the common difference

d=t2-t1

d=10-6=4

The sum of the first 50 terms is then calculated using: sorry it wont let me copy and paste my explo and im lazy

Answer:

5,200

Step-by-step explanation:

6, 10, 14, ...

Sum = [ number of terms(first term+last term) ] / 2

-we know there are 50 terms

-we now the first term is 6

-we need to find the last term

last term = first term + (n-1)* difference between first and second term

last term = 6 + (50-1) * (10-6)

last term = 6 + 49*4 = 202

Sum = [ number of terms(first term+last term) ] / 2

Sum = [ 50 ( 6 + 202) ] / 2 = 5,200

Answer:

0.3

Step-by-step explanation:

just divide on a calculator 3/9 and u get 0.3

Step-by-step explanation:

the answer is in the image above

The required magic square with consecutive numbers from 6 to 14 having a magic constant of 30​ is.
| 13 | 6 | 11 |

| 8 | 10 | 12 |

| 9 | 14 | 7 |

A magic square is a square grid filled with consecutive integers in a way that all rows, columns, and diagonals have the same sum, known as the magic constant.

Here,
To complete the given magic square with consecutive numbers from 6 to 14 having a magic constant of 30, we can follow these steps:

Step 1: Write the partially filled magic square:

Step 2: Calculate the sum of the known numbers:

Step 3: Calculate the sum of the missing numbers:

Step 4: Distribute the missing numbers in the empty cells in a way that the sum of all rows, columns, and diagonals is equal to the magic constant of 30.

We know that the center cell must be 12, because it is the only cell that can be part of three different diagonals.

We can check that all rows, columns, and diagonals add up to 30:

| 13 | 6 | 11 |

| 8 | 10 | 12 |

| 9 | 14 | 7 |

Learn more about magic square here:

https://brainly.com/question/28675556
#SPJ2

9514 1404 393

Answer:

  Y = 7.2

Step-by-step explanation:

We can multiply each element of the set by 5/6 and see which result is an integer. We find 5(7.2)/6 = 6, an integer.

  Y = 7.2

Answer:

Step-by-step explanation:

[tex](x-4) (3x^{3} -6x+2)[/tex]

= [tex]3x^{4} -6x^{2} +2x -12x^{3} +24x-8[/tex]

= [tex]3x^{4} -12x^{3} -6x^{2} +26x-8[/tex]

I hope this helps and the working out is clear.  :)

Answer:

The answer is 26.667 ..

Step-by-step explanation:

80k/3000

☝︎☝︎☝︎☝︎☝︎