what is the highest common factor of 12 and 16?​

Answers

Answer 1

Answer:

4

Step-by-step explanation:

1) to find hcf, first look at what both 12 and 16 are divisible by

12 and 16 are divisible by 2

so

12/2=6

16/2=8

now we have 6,8

6 and 8 are divisible by 2 as well

6/2=3

8/2=4

3,4 is what we are left with

since we had to divide these numbers by 2 both times, multiply them.

2*2=4

4 is the hcf


Related Questions

Is 12, 13, or 14 a solution of the inequality 4x > 52?

Answers

Answer:

[tex]4x > 52 \\ x > \frac{52}{4} \\ x > \frac{26}{2} \\ x > 13[/tex]

Answer:

14

Step-by-step explanation:

Plug in the numbers:

12 * 4 = 48 WRONG

13 * 4 = 52 WRONG

14 * 4 = 56 RIGHT

14

please help it is an 100 point test first person gets brainlyist :)




Answers

These answers aren’t for certain but I’ll give them anyway

18. 1/162

19. 5/162

20. 10/81

21. 4/81

22. 5/162

the surface areas of two cubes are in ratio 1:9. what is it the ratio of their volumes?
a) 1:3
b) 1:9
c) 1:27
d) 1:81

Answers

pretty sure it is 1:27! :)

Answer:

c

Step-by-step explanation:

How much juice is in the container?
A) 4 cups
OB) 1 pint
C) 1 quart
D) 2 gallons

Answers

the answer is B 2 cups in 1 pint

1. $1,200,000 is equal to
million___dollars.
O 0.0012
0 0.12
O 1.2
O 12
O 1200​

Answers

Answer:

1.2^6

Step-by-step explanation:

cuz count the zeroes, and that is the scientific notation

A sector with an area of 48\pi cm^(2) has a radius of 16 cm. what is the central angle measure of the sector in radians

Answers

Answer:

The central angle is = 3/8  π

Step-by-step explanation:

To calculate the area of the sector, we will follow the steps below;

First write down the formula for calculating the area of a sector.

If angle Ф is measured in degree, then

area of sector = Ф/360   × πr²

but if angle Ф is measured in radians, then

area of sector = 1/2 × r² × Ф

In this case, since we are asked to find the central angle measure of the sector in radians, then we will use the second formula

area = 48π cm²       and radius = 16 cm

area of sector = 1/2 × r² × Ф

  48π              = 1/2 × 16² × Ф

  48π               = 1/2  ×256 × Ф

  48π                = 128×Ф

Divide both-side of the equation by 128

[tex]\frac{48}{128}[/tex] π  =   Ф

Ф  =  [tex]\frac{48}{128}[/tex] π

The right-hand side can be reduced to its lowest term

Ф =  48 ÷  16   /    128  ÷16   π

Ф = 3/8  π

Identify the outlier or outliers in the data set: 3, 2, 2, 1, 2, 3, 6, 2, 1, 1, 3, 2, 2, 2, 1, 3

Answers

Answer:

the outlier would be 6

Step-by-step explanation:

6 is the number that stands out the most therefore it is an outlier!

:)

What is an equation of the line that passes through the point (5,1)(5,1) and is parallel to the line x+y=9x+y=9?

Answers

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1)    you have :  x_1 =5  and  y_1 =1

m the slope  m= -1 (same slope for the line : x+y=9 because this lines are parallel and you can write y=-x+9

an equation for this line is : y-1 = -(x-5)

Suppose you are researching the eating habits of people your age. What sampling method could you use to find the percent of students in your grade who eat five servings of fruit and vegetables each day? What is an example of a survey question that does not have bias?

Answers

Answer:

You can wait at the front of the luchline and survey every tenth student.

Step-by-step explanation:

This way it is equal for everyone.

Answer:

What do you eat every week?

If you include a type of food, then the survey question would be bias though.

Consider Circle Y with radius 3 m and m XYZ=70


What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.

Answers

Answer:

4.9m

Step-by-step explanation:

In circle Y:

Radius=4m

Central Angle of XYZ=70°

Length of an arc[tex]=\frac{\theta}{360^\circ}X2 \pi r [/tex]

Therefore, Length of minor arc XZ

[tex]=\frac{70^\circ}{360^\circ}X2X4 X \pi [/tex]

=4.9m (correct to the nearest tenth)

Marjorie has 36 boxes of video games to unpack and put on shelves.Each box contains 28 video games.How many video games in all need to be unpacked.

Answers

36 boxes

28 video games per box

That means, we have to multiply 36 by 28 to get the total number of video games.

36 x 28 = 1008

Therefore, 1,008 video games need to be unpacked.

Marjorie must unpack a total of 1008 video games, calculated by multiplying 36 boxes by 28 video games per box.

Marjorie has 36 boxes of video games to unpack, with each box containing 28 video games.

To find out the total number of video games that need to be unpacked, we simply multiply the number of boxes by the number of video games in each box.

The calculation is as follows:

36 boxes × 28 video games per box = 1008 video games

Therefore, Marjorie needs to unpack a total of 1008 video games.

Fill in the blank: 2 yards = __________ feet

Answers

Answer:

6 feet

Step-by-step explanation:

1 yard = 3 feet

2 yard =6 feet

Sorry I can't have a better explanation it is really simple.

Maria’s hair was 10 inches long, and then she cut ℎ inches

Answers

Answer:

please finish the question?

Step-by-step explanation:

Answer:

10-h

Step-by-step explanation:

i think ur teacher told u to write a equation out of it and if that is it then the equation is 10-h

2: Determine the number of solutions of the quadratic equation below.
9x2 – 12x + 4 = 0

Answers

Answer:

1 real number solution

Step-by-step explanation:

b^2-4ac=0  1 real number solution

Answer:

1 real

Step-by-step explanation:

A bakery sold 31 bagels in the first hour of business and 42 bagels in the second hour .If the bakery had 246 bagels to start with, how many bagels were left after the second hour

Answers

Answer:

173 bagels are left

Step-by-step explanation:

31+42=73

246-73=173


Multiply and simplify.
(x - 3)(x2 + 3x + 9)

A) x3 - 27
B) x3 - 27x2
C) x3 - 6x2 + 3x - 27
D) x3 - 9x2 + 6x - 27

Answers

Answer:

Answer A is correct

[tex] {x}^{3} - 27[/tex]

Step-by-step explanation:

[tex](x - 3)( {x}^{2} + 3x + 9) \\ x( {x}^{2} + 3x + 9) - 3( {x}^{2} + 3x + 9) \\ {x}^{3} + 3 {x}^{2} + 9x - 3 {x}^{2} - 9x - 27 \\ {x}^{3} - 27[/tex]

What is the standard number for 4 1/2 million.

Answers

Answer:

4,500,000

Step-by-step explanation:

4 million is 4,000,000

half of a million is 500,000

added together is 4,500,000

Math question please answer my question First one answered will be marked brainliest.

Answers

Answer:

7^12

Step-by-step explanation:

We know that a^b ÷ a^c = a^(b-c)

7 ^ 14÷ 7^2

7^ (14-2)

7^12

Answer:

7¹²

Step-by-step explanation:

7¹⁴ ÷ 7²

7^(14-2)

7¹²

The correlation between two scores X and Y equals 0.92. If both scores were converted to z-scores, then the correlation between the z-scores for X and z-scores for Y would be:

a) 0.92
b) −0.92
c) 0.08
d) −0.08

Answers

The correlation between the z-scores for X and z-scores for Y is given by: Option A: 0.92

What is the effect of change in origin and scale on the correlation coefficient?

The correlation coefficient(for two variables) is independent of the change of origin and scale of any or both variables.

Thus, we get:

[tex]Corr(X, Y) = Corr\left(\dfrac{X - a}{b}, Y\right) = Corr\left(X, \dfrac{Y - c}{d}\right) = Corr\left(\dfrac{X - a}{b},\dfrac{Y - c}{d}\right)[/tex]

where a, b, c and d are constants.

How to find the z-scores for a random variable?

Suppose the considered random variable be X.

Then, we get the z-scores for X as:

[tex]Z = \dfrac{X - \mu}{\sigma} = \dfrac{X - E(X)}{\sqrt{E(X^2) - [E(X)^2]}}[/tex]

where [tex]\mu = E(X)[/tex] and [tex]\sigma = \sqrt{Var(X)}[/tex] (both are constants).

For this case, we're specified that:

[tex]Corr(X,Y) = 0.92[/tex]

The correlation coefficient for the z-scores of X and Y would be:

[tex]Corr\left(\dfrac{X -\mu_X}{\sigma_X}, \dfrac{Y - \mu_Y}{\sigma_Y}\right)[/tex]

Using the property that origin and scale change doesn't affect correlation coefficient, we get:

[tex]Corr\left(\dfrac{X -\mu_X}{\sigma_X}, \dfrac{Y - \mu_Y}{\sigma_Y}\right) = Corr(X,Y) = 0.92[/tex]

Thus, the correlation between the z-scores for X and z-scores for Y is given by: Option A: 0.92

Learn more about correlation coefficient here:

https://brainly.com/question/10725272

The correct answer to the question is option a) 0.92.

Formula for finding z score is:

[tex]Z = (X - \mu)/(\sigma)[/tex]= (X - E(X))/(√(E(X²) - [E(X)²]))

where [tex]\mu[/tex] = E(X) and [tex]\sigma[/tex] = √(Var(X)) (both are constants).

We are provided with following information:

Corr(X,Y) = 0.92

Origin &  scale change does not affect correlation coefficient between two scores, so get:

= [tex]Corr\left((X -\mu_X)/(\sigma_X)[/tex]= [tex](Y - \mu_Y)/(\sigma_Y)\right)[/tex]= Corr(X,Y) = 0.92

If the correlation between two scores X and Y is 0.92, and both scores are converted to z-scores, the correlation remains unchanged.

This is a property of correlation coefficients, as they are invariant under linear transformations such as converting raw scores to z-scores.

Therefore, the correlation between the z-scores for X and z-scores for Y would be 0.92.

The correct answer is option a) 0.92.

Solve for n 12/6 = 4/n

Answers

Answer:

The answer to your question will be n = 2

Step-by-step explanation:

as much as I would like to, I'm really not that great at explaining things

What is the value of the power

Answers

The value of the power in the expression 5^4 is 625. This is found by multiplying the base (5) by itself 4 times, which is the exponent.

The value of the power is 54. This is because 54 is the base of the expression raised to the exponent 4. In other words, 54 is multiplied by itself 4 times.

Identify the base: The base is the number that is being raised to the power. In this case, the base is 5.

Determine the exponent: The exponent is the small number written above and to the right of the base. In this case, the exponent is 4.

Write the expression in expanded form: The expanded form of the expression is 5 x 5 x 5 x 5.

Evaluate the expression: 5 x 5 x 5 x 5 = 625.

Therefore, the value of the power is 625.

use the properties of rational numbers to multiply the following 7/12 * 253 / 5​

Answers

Answer:

the answer is 29.516 i had this question and got it right have a great day

Step-by-step explanation:

Answer:

1771/60

Step-by-step explanation:

How far away can a person live from a radio station and hear its broadcast if the signal covers a circular area of 40,000 square miles? Write your answer as a whole number.

Answers

Answer:

The person can live at a distance of 113 miles

Step-by-step explanation:

In this question, we are concerned with calculating how far a person live from a radio station and hear its broadcast given that the broadcast covers an area of 40,000 square miles.

Now this question is asking us to calculate the farthest distance from the radio station to the house of the person.

With the radio station being the center, what we are asked to calculate is the radius which is the distance from the center to the edge ( circumference)

Mathematically, the area can be calculated as

A = π * r^2

Here, we have the Area as 40,000 square miles

Thus,

40,000 = π * r^2

r^2 = 40,000/π

r = √(40,000/π)

r = 112.8379

As a whole number r = 113 miles

The distance around a circular dance hall room is 135 feet. What is the longest distance around the dance hall?

Answers

Answer: 43feet

Step-by-step explanation:

Perimeter= 135 feet

Since perimeter= 2πr

135 = 2πr

Recall that π = 3.14

135 = 2 × 3.14 × r

135 = 6.28 × r

135 = 6.28r

r = 135/6.28

r = 21.5

d = 2r

d = 2 × 21.5

d = 43 feet

Answer:

42.95 feet

Step-by-step explanation:

In this question, we are tasked with calculating the distance around the dance hall that is the greatest.

Now, to answer this, we must have at the back of our mind that the dance hall is circular in shape. Thus, the greatest distance that could arise is the distance from one edge of the dance hall to the other end of the dance passing exactly through the center of the dance hall.

This distance described above is the diameter of the dance hall.

Notice we were given a length in the question? This length refers to the circumference around the circular dance hall.

Reframing then question, we were just told to calculate the diameter of a circle given the circumference of the circle.

Mathematically, circumference C of a circle = 2 * pi * r

Recall, mathematically also 2r = D

so we can say C = pi * D

Using the value of 22/7 for pi and the value of the circumference in the question, we have;

135 = 22/7 * D

D = (7 * 135)/22

D = 42.95 feet

Find the period of the graph shown below
A. 4π
B. π
C. 2π
D. 2/3π

Answers

A I believe is the answer
I also believe A is the answer.

y = 50 + 2x
y = 40 + 2x
Which statement about the pair of equations is true?

Answers

Answer:

what are the statements

what are the statements

6-2x+1x=-4x+18+1 x combine like terms

Answers

Answer:

x = 6

Step-by-step explanation:

first of all, you should know how to do this, this is the basic level of math that students learn in 4th grade.

first you combine like terms (terms that have the same variable)

6 - 2x + 1x = -4x + 18 + 1x

= 6 - 1x = -3x + 18

= 6 = -2x + 18

= -12 = -2x

= 6 = x

145 = 3500(0.06)(t)​

Answers

Answer:

t = 29/42

Step-by-step explanation:

in this equation you have to first multiply everything out on the right side. 3500 * 0.06 = 210.

Now you have 145 = 210t

divide by 210 on both sides

145/210 can be simplified to 29/42

so t = 29/42

Help please!!
What is the median of the data set?

24, 2, 13, 12, 2, 5, 10, 18

Enter your answer in the box.

Answers

Answer:

The median of the data set is 11.

Step-by-step explanation:

2, 2, 5, 10, 12, 13, 18, 24

10 + 12 = 22

22 / 2 = 11

The median of the data set is 11.

We have given the data set,

24, 2, 13, 12, 2, 5, 10, 18

We have to find the median

So first arrange the given data set in asending order.

2, 2, 5, 10, 12, 13, 18, 24

What is the median?

The median is the central number of a data set.

There are two number at center that are 10 and 12

So we have to find the mean of this two number.

10 + 12 = 22

22 / 2 = 11

So the median is 11.

To learn more about the median visit:

https://brainly.com/question/26151333

cx=d+r solve for x, pls help

Answers

Answer:

x = d/ C + r/ C

Step-by-step explanation:

The "/" means fraction

Mark me as brainliest please

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