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

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

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.

can someone help please..

Answers

Answer:

b

Step-by-step explanation:

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:

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

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! :)

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!!

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

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:

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

Answers

Answer:

D. 32

Step-by-step explanation:

The answer is D
hope this helps

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!

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

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)

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 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

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

Question 30 of 44
Need help ASAP

Answers

Answer:

Sorry but where r the questions

Step-by-step explanation:

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

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!

pls help me wit this asap

Answers

Answer:

not sure but I think the answers c

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.

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

Simplify the expression. –(10)–2


100

–100

Answers

Answer:

-12, 0

Step-by-step explanation:

100 because two negatives make a positive

¿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]

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.

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

Help please!!! I don’t understand

Answers

I believe the answer is vertical stretch

please help im very confused

Answers

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

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.

Other Questions
Question 3: Answer the following questions3.1)Calculate 250% of 100.(2)3.2)Calculate 100% of 250(2)23)What do you notice about your answers to question 3.1) and 3.2)? Explain your answer. Find the weight of a man whose mass is 40 kg on earth.(alsowrite complete data plus proper formula). The owner of a white female poodle wants her dog to have white puppies. she takes her dog to a breeder, who tells her he will mate her poodle with a white male. Much to the owner's surprise, her poodle gives birth to a black male instead of a white one. she is suing the breeder, alleging he mated her poodle with a black male instead of a white one, which resulted in six unwanted black puppies. You know that the white hair allele is recessive to the dominant allele for black hair in poodles. would you support the owner's allegation? explain your answer. A company's sales force makes 400 sales calls, with + 0.25 probability that a sale will be made on a call. What is the probability that greater than 55 (exclusive) but less than 75 (exclusive) sales will be made? Enter your answer as a decimal value, rounded to 4 decimal places. Cual es la relacin entre el cambio climtico y la migracin??? Write mechanism of absorption Evaluate 15/r - 1 when r =5 Express 0.1 as a percent. Which statement is true about the function f(x) = negative StartRoot x EndRoot? Suppose that the turkey industry is in long-run equilibrium at a price of $5 per pound of turkey and a quantity of 400 million pounds per year. Suppose that WebMD claims that a protein found in turkey will increase your expected lifespan by 2 years. WebMD's claim will cause consumers to demand _____________turkey at every price. A case-control study was conducted to evaluate the relationship between aspirin use and the risk of colon cancer. 2,000 cases and 2,000 controls were enrolled in the study. 1,800 of the cases reported using aspirin in the past while 1,200 of the controls reported using aspirin in the past. What measure of association should be calculated to determine the strength of the relationship between aspirin and colon cancer Identify the following parts of the salad you are making: base, body, dressing. Find the scale factor and determine the type of the dilation. The area around the North Pole is called the ??? region. GRADE 6 MATH. 10 POINTS NO FAKE ANSWER OR LINK What has been an effect of globalization?a decrease in U.S. service sector jobsa decrease in U.S. service sector jobsa decrease in air, water, and soil pollutiona decrease in air, water, and soil pollutionan increase in deforestation worldwidean increase in deforestation worldwidea decrease in unique regional cuisine write a rational number between root2 and root3 1) Which statement BEST supports the theme of the passage?A) Life is full of surprises.B) Fishing is great in Greenville.C)People should be careful not to say hurtful things tothose they love.D)It's never too late to make up for lost time with thepeople you love.g. How is grazing food chain different from detritus food chain? Explain with examples. How many moles are in 4.01x10^24 particles?