What is the greatest common factor of 45x^3, 24x^2, and 16x?

Answers

Answer 1

Answer:

[tex]\huge\boxed{\sf GCF = x}[/tex]

Step-by-step explanation:

Firstly we'll factorize the terms:

45x³ = 3 * 3 * 5 * x * x * x

24x² = 2 * 2 * 2 * 3 * x * x

16x = 2 * 2 * 2 * 2 * x

The factor which is common in all three terms is:

= x

Hence GCF = x

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Related Questions

HELP ME PLEASEEE ITS I HAVE TO DO IT FAST PLEASEE

Answers

Answer:

a) x and 2x are complementary angles.

b) x = 30

Step-by-step explanation:

x + 2x = 90 (Complementary angles)

3x = 90

x = 30

y=-35x^2+1458x-8400 to the nearest dollar.

Answers

Answer:$6,786.09

Step-by-step explanation:

5.
If all three angles are exactly the same measure, how big is each angle?
Hint: x + x + x = 180

I a) 180 degrees
I c) 50 degrees
b) 90 degrees
d) 60 degrees
Answer fast for brainliest

Answers

Answer:

D 60 degrees

Step-by-step explanation:

D

3x = 180

x = 180 / 3

x = 60

Hope that helps!

The answer is d 60 degrees
60+60+60=180

Select all statements that show correct reasoning for finding `12\div\frac{3}{5}`. Multiply 12 by 5, then multiply by $$ Multiply 12 by 3, then divide by 5. Multiply 12 by 1/5 then multiply by 3. Multiply 12 by 5, then divide by 3.

Answers

Given:

The expression is:

[tex]12\div \dfrac{3}{5}[/tex]

To find:

The correct statement for solution of the given expression.

Solution:

We have,

[tex]12\div \dfrac{3}{5}[/tex]

If a number is divided by a fraction, then we need to multiply the reciprocal of the fraction with the number.

It can be written as

[tex]12\div \dfrac{3}{5}=12\times \dfrac{5}{3}[/tex]

[tex]12\div \dfrac{3}{5}=\dfrac{12\times 5}{3}[/tex]

[tex]12\div \dfrac{3}{5}=\dfrac{60}{3}[/tex]

[tex]12\div \dfrac{3}{5}=20[/tex]

To simplify the given expression, we need to multiply 12 by 5, then divide by 3.

Therefore, the correct option is D.

Daniel is baking a cake for Aaron's birthday. The recipe requires 2 1/2 cups of butter, 1/3 cups of brown sugar, and 1/2 cups of baking powder. What is the total amount of ingredients in cups if Daniel makes the cake twice as large as the recipe calls for?

Answers

Answer

4 6/12 or 2 3/4 cups of total ingredients

Step-by-step explanation:

There are 2 1/2 cups of butter, 1/3 cups of brown sugar, and 1/2 cups of baking powder.

You'd want to make the denominators the same numbers so it would be easier to divide.

So I multiplied 2 1/2 times 3, 1/3 times 2, and 1/2 times 3.

Then all the numbers would have a denominator of 6. Don't multiply the whole numbers or the numerators. Just the denominator.

''THE NUMBERS'' would change to 2 1/6, 1/6, and 1/6.

If I were to add that it would be 2 3/6.

BUT, You need to multiply by 2 after because it says in the question "How many ingredients in cups will Daniel make the cake twice as large".

What is 2 3/6 times 2 =  4 6/12 total.

If it says to simplify the answer. It would be "'2 3/4 total'' or both answers are correct

-1+x=-5 please help me

Answers

Answer:

x = -4

Step-by-step explanation:

[tex]-1 + x = -5\\x = -4[/tex]

PLEASE SOMEONE!!HELP!! I need the answer right now

Answers

Answer:

m = -1, b = 5.

Step-by-step explanation:

We can find the slope, m, by plugging in our coordinates into the slope formula: [tex]\frac{y2-y1}{x2-x1} =\frac{2-7}{3-(-2)}=\frac{-5}{5}=-\frac{5}{5}=-\frac{1}{1}=-1[/tex]. That gives us the slope. Now we can fill that in the slope intercept formula: [tex]y=-1x+b[/tex]. We know one of the coordinates and the slope, which allows to find the y-intercept. We know that for every 1 unit down on the line, we move 1 unit right, and vice versa. Meaning we can just count down (or up in this case), so, (-2, 7), (-1, 6), (0, 5). Therefore, our y intercept is 5.

which of the following is equivalent to 4^8
——— ?
4^2
if you cant see the answer choices they’re



A) 4^4
B) 4^6
C) 1^6
D) 4096
E) 256

Answers

Answer:

4096 and 4^6

Step-by-step explanation:

Which of the following is equivalent to 4(8)/4(2)

Answer: A and B

The following list gives the number of public libraries in each of 14 cities.
4, 5, 4, 6, 5, 6, 5, 8, 5, 4, 6, 6, 7, 4
Find the modes of this data set.
If there is more than one mode, write them separated by commas.

Answers

Given:

The date set for the number of public libraries in each of 14 cities is:

4, 5, 4, 6, 5, 6, 5, 8, 5, 4, 6, 6, 7, 4

To find:

The modes of this data set.

Solution:

We know that, the mode of a data is the most frequent value of data set.

Arrange the given data in ascending order.

4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8

In the given data set,

Frequency of 4 = 4

Frequency of 5 = 4

Frequency of 6 = 4

Frequency of 7 = 1

Frequency of 8 = 1

Clearly, the data values 4, 5, 6 have the largest frequency, i.e., 4.

Therefore, the modes of the given data set are 4, 5, 6.

Sunday later my sister clean 1 3/9 hours Monday my mom clean 2 5/6 hours the my bad clean 1 4/2 hours who cleaned the most

Answers

Answer:

Hermana

Step-by-step explanation:

Answer:

3:30

Step-by-step explanation:

jaela is buying a used car for $6832. her loan is for 30 months at 1.35% in interest. how much will her car payment each month?

Answers

Answer: 232$ Per month

Step-by-step explanation:

ANSWER ASAP
What is y= -2/5x+3/8 as a function and a solution when x = 1/3

Answers

Answer:

y = 9/120 or y = 0.24

Step-by-step explanation:

[tex]y=-\frac{2}{5} x+\frac{3}{8}\\\\y=-\frac{2}{5}(\frac{1}{3})+\frac{3}{8} \\\\y=-\frac{2}{15} +\frac{3}{8} \\\\y= \frac{29}{120}[/tex]

Answer is in a photo below

Help i don't know what to do I will give brainiest

Answers

Answer:

The sum will be whichever number has the greater value.

Step-by-step explanation:

Let's say you have (-2) + 4 = ?

The number with the greater value is 4.

So the sum of your answer would be a positive, since the greater number has a positive sign.

the difference between 2 numbers is 26 and one number is 3 Times the other​

Answers

Answer:

Let the numbers be

[tex]x \: and \: 3x[/tex]

Then,

ATQ

[tex]3x - x = 26[/tex]

[tex]2x = 26[/tex]

[tex]x = 13[/tex]

[tex]3x = 39[/tex]

100 POINTS! PLEASE HELP!!
Hey y'all! I haven't gotten a correct answer/explanation for this question and I struggling so if someone could help, I'd really appreciate it! :)

Suppose RT= 16 in. and ST= 4 in. Is it possible to find the length of TU? If so, show how to find the length. If not, explain why not.

Answers

Step-by-step explanation:

yes it possible to find the length of tu

the plastered wall of the house is 15m long and 10m wide. what is the area of the wall​

Answers

Answer:

150 m^2

Step-by-step explanation:

Area of a rectangle (which describes this wall) is A = L * W.

In this case, the area is A = (15 m)(10 m) = 150 m^2

On Monday the price of one share of Webb company stock was 24.85. By Friday the price was 25.004. By how much did the price change from Monday to Friday ?

Answers

Answer:

Change in price = 0.154

Step-by-step explanation:

Given that,

The price on Monday = 24.85

The price on Friday = 25.004

We need to find the change in price from Monday to Friday. It can be calculated as follows :

Change = 25.004 - 24.85

= 0.154

So, the required change in the price is equal to 0.154 .

Solve the system and determine whether it is consistent or inconsistent and dependent or independent.
2x – 4y = 10
-12x + 24y = -60

Answers

Answer is in a photo below.
It is consistent and independent.
x=25, y=10

The radius of a circle is 14 yards. What is the circle's area?

Answers

Answer:

A= 615.44

Step-by-step explanation:

A=πr²

A=π14²

A=196(3.14)

A= 615.44

pls answer i’m doing a test rn

Choose the real-world situation that can be represented by the inequality:
x < 40
a.James is allowed at most 40 minutes of screen time per day.
b. The temperature in the fridge needs to be below 40°F.
C. It will take at least 40 minutes to drive to the basketball game.
d. Ava must spend more than 40 minutes every day practicing piano.

Answers

Answer:

B.

Step-by-step explanation:

B. is the only anewer choice that doesn't have at least and that would have x on the left side of the inequality

A. would have the < with an equal sign under it

C. would have the > with an equal sign under it

D. would have the > sign

hope this helps <3

What is the equation for the line of symmetry in this figure?
A. x=0
B. y=0
C. x=2
D.y=2

Answers

Answer:

A

Step-by-step explanation:

The axis of symmetry for the figure is the y- axis

The y- axis has equation x = 0

f(x) = x2. What is g(x)?

Answers

Answer:

Step-by-step explanation:

x-2

Answer this. please :)

Answers

Answer:

y=64

Step-by-step explanation:

y - 8 = 56

  +8     +8

y = 64

The answer is y=64 here is the explanation

Line H is represented by the following equation: 2x + 2y = 8

What is most likely the equation for line K so the set of equations has infinitely many solutions?

x + 2y = 2
x + y = 4
2x + y = 6
x − y = 8

Answers

Answer:

B

Step-by-step explanation:

Line H is represented by the equation:

[tex]2x+2y=8[/tex]

And we want to find Line K such that the set of equations has infinitely many solutions.

Remember the three solution sets for linear equations:

If the two are parallel, they have no solutions. If the two are not parallel, they will intersect and thus have only one solution. If the two are the exact same line, then they will have infinitely many solutions.

From Line H, we can divide both sides by two. This yields the equivalent equation:

[tex]x+y=4[/tex]

Therefore, the new equation and Line H are the same line. Thus, they will have infinitely many solutions.

The answer is B.

Answer:

b

Step-by-step explanation:

i did the test and got it right

A study is done on the population of a certain fish species in a lake. Suppose that the population size P(1) after years is given by the following exponential
function.
P(t) = 400(1.22)
Find the initial population size.
Does the function represent growth or decay?
O growth O decay
By what percent does the population size change each year?

Answers

Answer:

Growth22%

Step-by-step explanation:

Given function:

[tex]P(t) = 400(1.22)^{t}[/tex]

Initial population size is when t = 0

P(0) = 400(1.22)⁰ = 400(1) = 400

The multiple of 1.22 is applied every year, so the ratio of change is:

1.22 = 122% = 100% + 22%

This is an exponential growth which represents 22% annual growth.

The function is

y=400(1.22)^t

As per y=ab^x

1.22 is the rate of change

Its growth as it's greater than 1

The percentage increase is

1.22-10.2222%

Last someone someone helppp

Answers

Answer:

your answer should be number 1

Answer:

3

Step-by-step explanation:

c=2m+d

c-d=2m

(c-d)/2=m

option 3

Help meeeee I neeeedd this ASAP please

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

choice 4) all of the angles are supplementary to each other since any two added together = 180°

Step-by-step explanation:

Which measure of central tendency best describes the data?

10, 14, 15, 15, 14, 13, 18, 13, 14


mean only

median only

either mean or median please answer now fast

Answers

Either mean or median, they are both 14 in this data set.

A bag contains 6 red marbles, 5 blue marbles and 8 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be green?​

Answers

Answer: 5.8%

Step-by-step explanation:

In this situation there is no replacement so we have to mulitply the probablilty of the first,second, and third marble being green. First marble has a 8/19 probablilty of being selected because 19 total marbles in the bag and 8 green marbles. the next marble will have a 7/18 probabililty because now only 18 marble are in the bag and we are assuming we selected a green marble on our first draw. Same thing with the last green marble it would be 6/17 because there would be 17 marbles in the bag and 6 green ones left assuming we got the first 2

so 8/19*7/18*6/17=

56/969=

0.05779

5.77%

5.8%

What method could be used to prove the triangle congruent?

Answers

[tex]\huge{\underline{\underline{\boxed{\sf{\red{Answer࿐}}}}}}[/tex]

B) SAS

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