What is the greatest common factor of the terms in the expression 36a+54ab-27b?

Answers

Answer 1
Answer:

The greatest common factor of the terms in the expression 36a+54ab-27bis 9 or 9(4a + 6ab + 3b)

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

= 36a+54ab-27b

The factors of 27 are: 1, 3, 9, 27

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

The greatest common factor of 36, 54, and 27 is 9

= 9(4a + 6ab + 3b)

Thus, the greatest common factor of the terms in the expression 36a+54ab-27bis 9 or 9(4a + 6ab + 3b)

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Answer 2
Answer:

Answer:

The answer is 9

Step-by-step explanation:


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Consider the equation of the line y=-2x+4 what is the value of y when x=2​

Answers

Answer: The value of y is 8

Step-by-step explanation:

Since we know x=2 we can sub in 2 for x in the equation

y=2(2)+4

y=4+4

y=8

it is 10 3\5 miles from Alston to Barton and 12 1/2 from Barton to Chester.the distance from Alston to Durban,via BARTON and Chester,is 35 miles.how far is it from Chester to Durban.

Answers

Answer:

Distance from Chester to Dublin is  11(9)/(10)   miles

Step-by-step explanation:

Given :

Distance from Alston to Barton (A to B)= 10(3)/(5)=(53)/(5)   miles

Distance from Barton to Chester (B to C)= 12(1)/(2)=(25)/(2)  miles

Distance from Alston to Dublin via Barton and Chester(A to D) = 35 miles

Let the distance from Chester to Durban(C to D) = x

Refer the attached figure.

Therefore,

Total distance(A to D)= distance (A to B)+distance (B to C)+distance (C to D)

Putting values , we get

35=(53)/(5)+(25)/(2)+x

35-(53)/(5)-(25)/(2)=x

35-10.6-12.5=x

11.9=x

or x=11(9)/(10)

Distance from Chester to Dublin is 11(9)/(10)  miles.


Final answer:

To find the distance from Chester to Durban, add the distances from Alston to Barton and Barton to Chester, and subtract this total from the given distance from Alston to Durban.

Explanation:

To find the distance from Chester to Durban, we need to determine the distance from Alston to Durban. We can start by finding the distance from Alston to Chester by adding the distances from Alston to Barton and from Barton to Chester. The total distance is 10 3/5 miles + 12 1/2 miles = 23 1/10 miles. Now, to find the distance from Alston to Durban, we subtract this total distance from the given distance from Alston to Durban via Barton and Chester: 35 miles - 23 1/10 miles = 11 9/10 miles. Therefore, it is 11 9/10 miles from Chester to Durban.

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Consumption of fast food is a topic of interest to researchers in the field of nutrition. An article reported that 1880 of those in a random sample of 6765 U.S. children indicated that on a typical day, they ate fast food. Estimate p, the proportion of children in the United States who eat fast food on a typical day. (Round your answer to four decimal places.)

Answers

Answer:

the proportion is 0.2779, that is a 27.79%

Step-by-step explanation:

The article reported that 1880 children ate fast food from a sample of 6765 children. We can use the rule of three to find the proportion of children that ate fast food

  • from 6765 we have 1880 children that ate fast food
  • from 100 children we have 1880 * ((100)/(6765)) = 27.79 children that ate fast food

that gives us that a 27.79% of the children ate fast food on a typical day. We can obtain the proportion by dividing the percentage by 100, that gives us a proportion of 27.79/100 = 0.2779.

I hope this helped you!

To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm. Which inequality can be used to represent the lengths of the glass that will fit in the frame

Answers

12cm < x >12.2 cm is the inequality i would use

Write 3.777777 as a fraction

Answers

Answer:

\huge\boxed{\sf (34)/(9)\ \ OR \ \ 3(7)/(9)  }

Step-by-step explanation:

Let

x = 3.777.......                (1)

Then

10x = 37.777.....             (2)

Subtracting (1) from (2)

10x - x = 37.7777..... - 3.77777.......

9x = 34

Dividing both sides by 9

x = 34 / 9

x = 3 \ (7)/(9)

\rule[225]{225}{2}

Hope this helped!

~AnonymousHelper1807

a basket of laundry is being separated.  Divide 48 pieces of clothing into 2 groups so that the ratio is 1:3

Answers

The answer to this question would be 12 cloth: 36 cloth

In this question, you are asked to divide the clothing into 1:3 ratio. That mean, you need to divide the clothing into 4 parts (1+3), then put 1 part in one basket and 3 parts in other baskets. The calculation would be:

Basket 1= 48 cloth * 1/(1+3)= 12 cloth
Basket 2= 48 cloth * 3/(1+3)= 36 cloth

Answer:

12

Step-by-step explanation:

1+3=4

so 48/4=12