What is the greatest common factor of 42, 30, and 45

Answers

Answer 1

Answer:

3

Step-by-step explanation:

Express the numbers as a product of their primes.

42 = 2 × 3 + 7

30 = 2 × 3 × 5

45 = 3 × 3 × 5

Identify the prime factors common to all 3 numbers.

common prime factor = 3 , thus

GCF = 3

Answer 2

Answer: 3

Step-by-step explanation: The factors of 30 are 1. 2. 3. 5. 6. 10, 15, 30

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 45 are 1, 3, 5, 9, 15, 45

As you can see they all share the factors of 1 and 3. Since 3 is the greatest number of the factors all of them share it is the greatest common factor.


Related Questions

if two line segments have the same lengh, which of the following must be true
A. they are congruent
B. they share an endpiont
C. They are equal
D. They form a right angel

Answers

A. They are congruent

Hope this helps! :)

Mickey planted a 34" tree that grows 7.5" every year. How tall will the tree be in 5 years

Answers

Answer:

71.5"

Step-by-step explanation:

7.5x5=37.5

37.5+34=71.5"

Answer:

71.5

Step-by-step explanation:

make a formula7.5y+347.5x5=37.537.5+34=71.5

25+ POINTS WILL MARK BRAINLIEST

Answers

Answer:

Point A = (-6,0)

Point B = (0,4)

Answer:

Your Answer is this

Step-by-step explanation:

Help please!!! I don’t understand

Answers

I believe the answer is vertical stretch

find the area of this parallelogram. HELP ASAP!

Answers

Answer:

260cm^2

Step-by-step explanation:

Given,

Base = 20cm

Height = 13cm

Area of a parallelogram = Base * Height

                                        = 20 * 13

                                        = 260cm^2

Answer:

260

Step-by-step explanation:

Area of parallelogram = base length times height

Given height = 13cm

Given base Length = 20

Area = 20 * 13 = 260

Naomi requires 2.75 pounds of cream cheese for a cake. She has 4 ounces of cream cheese. Cream cheese is available in the store in blocks. Each block is 8 ounces. What is the minimum number of blocks of cream cheese Naomi has to buy? (1 point) 3 4 5 6

Answers

Answer:

5

Step-by-step explanation:

1 pound = 16 ounces

total ounces needed = 2.75 x 16 = 44 pounds

Ounces of cake she needs = 44 - 4 = 40

Minimum blocks needed = ounces needed / ounces of each block

40 / 8 = 5

PLEASE HELP FAST WILL GIVE BRAINLIEST!!!!!!!!

Answers

Answer:

D. 32

Step-by-step explanation:

The answer is D
hope this helps

Edwin is an insurance broker. Yesterday, he sold the Fredericks family a $425,000 insurance policy. And he also sold the Guthrie family a $379,000 insurance policy. If Edwin gets a 2.35% commission for all his sales. How much commission did he get paid for these two policies he sold?

Answers

Answer:

425000×0.0235=9987.5

379000×0.0235=8906.5

9987.5+8906.5=18894 that is the amount he gonna get

Please answer it i need this

Answers

Answer: The first choice

Step-by-step explanation:

Your answer is right! Its the question:
How many televisions do the families in your neighborhood own.

A statistical questions means you expect multiple responses.

Non statistical questions are those that u can answer with a defintine answer and only require gatbering of little data

Have a nice day

Please help me with this geometry question

Answers

Answer:

2) 40

Step-by-step explanation:

the perimeter of Rhombus =

4 × (√(12/2)²+(16/2)² )

= 4× (√6²+8²)

= 4× (√100)

= 4×10

= 40

Q) 4 × (√(12/2)²+(16/2)² )

→ 4 × (√6²+8²)

→ 4 × (√100)

→ 4 × 10

→ 40 is the perimeter of rhombus.

A rectangle has horizontal sides of 3(x-2)ft and vertical sides of 4x-7+(-2x)ft. Find the value of x so that the rectangle of x has a perimeter of 34 ft.

Answers

Answer:

x = 6

Step-by-step explanation:

Perimeter of the rectangle = 34 ft

Length of the rectangle = 3(x-2) ft

Width of the rectangle = 4x-7+(-2x) ft

= 4x - 7 - 2x

= 2x - 7 ft

Perimeter of a rectangle = 2(length + width)

34 = 2{3(x-2) + 2x - 7 }

34 = 2{3x - 6 + (2x - 7)}

34 = 2(3x - 6 + 2x - 7)

34 = 2(5x - 13)

34 = 10x - 26

34 + 26 = 10x

60 = 10x

x = 60/10

x = 6

Length of the rectangle = 3(x-2) ft

= 3(6 - 2)

= 3(4)

= 12 ft

Width of the rectangle = 2x - 7 ft

= 2(6) - 7

= 12 - 7

= 5 ft

Substitute w = 4 into the following expression
10 – 4w​

Answers

Answer:

-6

Step-by-step explanation:

Substitute as in replace "w" with 4

10-4(4)

Multiply -4 and 4

-16

10-16=-6

Hope this helps

Answer:

-6 it wouldnt let me post this without having 20 letters in my answer

Step-by-step explanation:

10 - 4*4 = -6.

¿En que orden se deben escribir las funciones, para aplicar la integral definida cuando se desea calcular el área?

Answers

Answer:

Si querés calcular el área entre las funciones f(x) y g(x) en el rango (a, b), usualmente se calcula la integral de la función más grande en el intervalo menos la función más pequeña en el intervalo, es decir, si:

f(x) > g(x) para todo x ∈ (a, b)

Entonces calculamos:

[tex]\int\limits^b_a {(f(x) - g(x))} \, dx[/tex]

Puesto que el área se define como la encerrada por las dos curvas, y si lo hiciéramos de otro modo, las curvas no encerrarían ningun área.

Ahora, si no se cumple lo anterior, es decir, g(x) > f(x) en algún dado intervalo, entonces separamos la integral en distintas partes de tal forma que siempre definamos un área positiva.

es decir, si:

f(x) ≥ g(x)  para x ∈ (a, n)

g(x) ≥ f(x) para x ∈ (n, b)

entonces el área estará dada por:

[tex]\int\limits^n_a {f(x) - g(x)}dx \, +\int\limits^b_n {g(x) - f(x)} \, dx[/tex]

what will I get for the answer 12(2x2−8)+13(6x2−3)

Answers

Answer:

102x^2 - 135

Step-by-step explanation:

Here we must follow order of operations rules:  

1.  Anything enclosed inside parentheses must be done first

2. Multiplication before addition/subtraction

Thus, 12(2x^2−8)+13(6x^2−3) becomes (after multiplication):

           24x^2 - 96 + 78x^2 - 39

The next step is to combine like terms:

              102x^2 - 135

This cannot be simplified further.  102 and 135 have no common factors.

Thus, 12(2x^2−8)+13(6x^2−3) = 102x^2 - 135

Answer:

3x^2-5

Step-by-step explanation:

i found out myself after searching the question

pls help me wit this asap

Answers

Answer:

not sure but I think the answers c

Look at the graph of the given relation. Determine whether the relation is a function. Explain why or why not.
(4.2, 6.2), (-0.8, 6.2), (-3.8, 4.2), (-3.8, -1.8)

Answers

Answer:

Step-by-step explanation:

The relation is not a function!

Use technology to find the line of best fit for the following data.



(1, 0), (2, 3), (3,1), (4,4), (5,5)



When the equation of the line is in the form y=mx+b, what is the value of **b**?



Enter your answer as a decimal rounded to the nearest tenths place, like this: 42.5

Answers

Given:

The data points are:

(1, 0), (2, 3), (3,1), (4,4), (5,5)

To find:

The equation of best fit line in the form of [tex]y=mx+b[/tex] and then find the value of b.

Solution:

The general form of best fit line is:

[tex]y=mx+b[/tex]              ...(i)

Where, m is the slope of best fit line and b is the y-intercept of the line.

Using the graphing calculator, we get the equation for the best fit line and the equation is

[tex]y=1.1x-0.7[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]b=-0.7[/tex]

Therefore, the value of b is equal to -0.7.

Simplify the expression. –(10)–2


100

–100

Answers

Answer:

-12, 0

Step-by-step explanation:

100 because two negatives make a positive

Which graph represents the function p(x) = |x - 1|?

Answers

Step-by-step explanation:

Fourth graph represent the function p(x) = |x – 1|

Answer:

B

Step-by-step explanation:

Just did the unit test

Find the range of 45, 38, 47, 42, 40, 47

Answers

Range is taking the largest number and subtracting it from the smallest number.

The smallest number here is 38 ans the largest is 47.

47-38= 9

The range js 9, hope that helps!

A javelin thrower is running at 7mph and throws her javelin at 18mph at an angle of 13o with the horizontal. Determine the resultant speed and direction of the javelin. i need the magnitude and the direction !!! HELP WILL MARK BRALIEST

Answers

Will I get any points?

Magnitude: 24.93 mph

Direction: 9.37°

A javelin thrower throws her javelin at an angle of 13o

cos13°=v1/18

v1=cos13° * 18= 17.54mph

v=v1+7

   17.54+7=24.54 mph

sin13°=v2/18

v2=sin13° * 18= 4.05mph

tan ∅ =v2/v=0.165

∅ =9.37°

cos ∅ =v/v3

v3=24.54/cos 9.37=24.93

What is the formula for resultant speed?

Multiply the acceleration by the time the object is being accelerated. For example, if an object falls for 3 seconds, multiply 3 by 9.8 meters per second squared, which is the acceleration from gravity. The resultant velocity in this case is 29.4 meters per second.

How do you find the resultant direction?

join the tail of the first vector with the second vector's head and put the arrowhead. To determine the magnitude, measure the length of the resultant R, and find out the direction.

Learn more about resultant force:https://brainly.com/question/14626208

#SPJ2

can someone help please..

Answers

Answer:

b

Step-by-step explanation:

What are equivalent statements to a + 3 = 18 and 4 ∙ b = 32?

Answers

Answer:

a=18-3 and b=32÷8

Step-by-step explanation:

the first one

please help im very confused

Answers

download the app photo math, it will give u all the answers for those and shows the work

Question 30 of 44
Need help ASAP

Answers

Answer:

Sorry but where r the questions

Step-by-step explanation:

According to a 2016 survey, 6 percent of workers arrive to work between 6:45 A.M. and 7:00 A.M. Suppose 300 workers will be selected at random from all workers in 2016. Let the random variable W represent the number of workers in the sample who arrive to work between 6:45 A.M. and 7:00 A.M. Assuming the arrival times of workers are independent, which of the following is closest to the standard deviation of W?
A. 0.24
B. 4.11
C. 4.24
D. 16.79
E. 16.92

Answers

Answer: B. 4.11

Step-by-step explanation:

Using Binomial distribution  ( as the arrival times of workers are independent).

Formula for standard deviation: [tex]\sqrt{{p(1-p)}{n}}[/tex], where p= population proportion, n= sample size.

As per given ,

p= 0.06, n=300

Required standard deviation= [tex]\sqrt{0.06\left(1-0.06\right)300}[/tex]

[tex]=\sqrt{(0.06)(0.94)(300)}\\\\=\sqrt{16.92}\approx4.11[/tex]

Hence, the correct option is B.

Which graph shows the solution to the system of linear inequalities?
y < 2x - 5
y> -3x + 1
Is it this one?

Answers

Step-by-step explanation:

The given system of inequalities are :

y < 2x - 5 ...(1)

y> -3x + 1 ....(2)

For equation (1),

When x = 0, y<-5

For equation (2),

When x = 0, y>1

The attached figure shows the graph of the given inequalities.

Which statement about correlation and causation is true?

1. Correlation cannot occur without causation.
2. Correlation and causation are always unrelated.
3. Causation implies correlation.
4. Correlation implies causation.

Answers

Answer:

it is number 1

Step-by-step explanation:

i asked my teacher

Answer: 3 or 4, this question isnt exactly possible to answer

Step-by-step explanation:

find the area of the irregular figure. 4 in. 7in. 5in. 3in. 4in. 9in.​

Answers

Answer:

79 sq in

Step-by-step explanation:

cut it into separate shapes then add the areas of each individual

(4 x 3) + (13 x 4) + (3 x 5)

4x²+6X+9
Factorizar

Answers

4x2+6x+9

not factorable
So the common factor here is 2x to factorize

2x(2x+3)+9

That’s the only the factorization which is available so i hope this answers your question and with you the best!!
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