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vivado [14]
3 years ago
11

Explain how the GCF helps with the distributive property. Why is it so important to use the GCF when factoring a sum of two numb

ers?
Mathematics
1 answer:
SOVA2 [1]3 years ago
5 0

<span>When we have two or more given integer, we can consider  the largest factor that both numbers have in common. This is called the GCF or the </span><span>Greatest Common Factor.  GCF helps </span>with a common factor as a multiple of a sum of two whole numbers.

For example, express 36 + 8 as 4 (9 + 2).

<span>Remember that factors are the numbers we multiply together to get another number.</span>

The distributive property is a useful way to look at problems in a new way. The distributive property helps us to rewrite expressions and still get the same answer.

<span>GCF is important when factoring a sum of two numbers because it’s easily to know value by the both numbers.</span>

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3. Find the length of X (in the picture) plssss I need help.​
tino4ka555 [31]

Answer:

imagine the upper triangle as the same as the lower one, but rotated by 180° around the corner point they share, and resized.

the base of the smaller triangle is resized by a factor of 3/4.5, or reduced: 1/1.5

we just take the length from the hypotenuse of the bigger triangle and resize it to, either by multiplying with 1/1.5 or by dividing by 1.5

personally, I find the latter easier.

x = 7.5/1.5 = 5

7 0
3 years ago
There are 39 adults and 26 children registered for a seminar. the seating is to be arranged so each row has the same number of p
madreJ [45]

The number of rows of seats needed to seat the greatest possible number of participants in each row is 5

<h3>What is Highest Common Factor ?</h3>

The highest common factor is the highest number that divides the numbers given.

On the basis of given data

Total number of children = 26

Total number of adults = 39

The highest common factor of both the number is 13 ,

Therefore the highest possible number of people that can sit in one row so that the number is in constant in all the rows.

So 2 rows of children of 13 each and

3 rows of adult of 13 each

Which makes the total number of rows = 5

Therefore the number of rows of seats needed to seat the greatest possible number of participants in each row is 5

To know more about Highest Common Factor

brainly.com/question/802960

#SPJ1

4 0
2 years ago
Explain how to find the slope of a given line given the intercepts of the line
scoundrel [369]

Answer:

y = m x + b     equation of a line where m is the  slope

m = (y2 - y1) / (x2 - x1)

Note: If the line passes thru the origin then m = y2 / x2 since

y1 = x1 = 0

6 0
3 years ago
A farmer can buy two types of plant​ food, mix A and mix B. Each cubic yard of mix A contains 35 pounds of phosphoric​ acid, 15
Nadusha1986 [10]

Answer:

The answer is below

Step-by-step explanation:

Given that the minimum monthly requirements are 840 pounds of phosphoric​ acid, hence:

35 pounds of phosphoric acid mix A + 14 pounds of phosphoric acid mix B ≥ 840 pounds of phosphoric​ acid

35x + 14y ≥ 840

The minimum monthly requirements are 540 pounds of nitrogen, hence:

15 pounds of nitrogen mix A + 18 pounds of nitrogen mix B ≥ 540 pounds of nitrogen

15x + 18y ≥ 540

The minimum monthly requirements are 768 pounds of potash, hence:

16 pounds of potash mix A + 64 pounds of potash mix B ≥ 768 pounds of potash

16x + 64y ≥ 768

Also, x ≥ 0 and y ≥0.

Therefore the equations are:

35x + 14y ≥ 840

15x + 18y ≥ 540

16x + 64y ≥ 768

x ≥ 0 and y ≥ 0

Plotting with geogebra gives the graph below.

The point are (0,60), (48,0), (18,15), (32,4)

7 0
3 years ago
A square with an area of 64 in2 is rotated to form a cylinder. What is the radius of the cylinder?
romanna [79]
The area of the square is calculated through the equation,

                               Area = e²

where e is the measure of sides.
 
From the given,

                              64 = e²
                               e = sqrt 64 = 8 inches

The length of the side of the square rotated to form the cylinder is the diameter of the base of the cylinder. To get the radius, we divide the diameter by 2.

                             radius = 8 inches / 2 = 4 inches

Thus, the radius of the cylinder is equal to <em>4 inches</em>. 
5 0
3 years ago
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