Find the GCF of each pair of numb 5 and 40

Answers

Answer 1
Answer:

Answer: The GCF of 5 and 40 is 5

Step-by-step explanation:

The greatest common factor (GCF) of two numbers is the largest number that divides both of them evenly. To find the GCF of 5 and 40, we can list the factors of each number and find their common factors.

The factors of 5 are 1 and 5. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.

To find the common factors, we can compare the factors of 5 and 40:

- Both 5 and 40 have 1 as a factor.

- However, 5 is not a factor of 40.

Therefore, the GCF of 5 and 40 is 1, as it is the largest number that divides both 5 and 40 evenly.

Another way to find the GCF is by using prime factorization. Let's find the prime factorization of 5 and 40:

- The prime factorization of 5 is 5.

- The prime factorization of 40 is 2 * 2 * 2 * 5.

To find the GCF, we take the common prime factors with the lowest exponents. In this case, the common prime factor is 5.

So, the GCF of 5 and 40 is 5.

Answer 2
Answer:

Final answer:

The GCF of 5 and 40 is 5.

Explanation:

To find the GCF of 5 and 40, we can list the factors of each number and find the largest common factor.

Factors of 5: 1, 5

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

The common factors of 5 and 40 are 1 and 5. The largest common factor is 5.

Therefore, the GCF of 5 and 40 is 5.

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A factory manufactures plastic bottles of 4 different sizes, 3 different colors, and 2 different shapes. How many different combinations are possible?

Answers

Multiply 4 sizes times 3 colors times 2 shapes because there would be actually 6 combinations of colors and shapes per size resulting in 24 combinations possible.

4*3*2=24


24, because to find the number of combinations, you multiply all of the different choices so you do 3x2x4 and that equals 24. Hope this helps! :)

The decimal -2.97 is the solution to which subtraction problem?

Answers

Answer:

-6.1-(-3.13) is the equation that equals -2.97

Step-by-step explanation:

Answer:

2.97

Step-by-step explanation:

I had the question

Which of the following are useful ways of finding the value of a variable? Check all that applyA.Writing an equation
B.Drawing a graph
C.Reading a table
D.Drawing a diagram

Answers

Writing an equation and Drawing a graph are two ways or useful ways of finding the value of the variable. These two are the basic ways of solving the given variable equation. In mathematical ways, this is the most useful ways.
Drawing a graph as it shows the change in variables.

Write the quadratic equation whose roots are-1 and 6, and whose leading coefficient is 4

(Use the letter to represent the variable.)
?=0

Answers

The quadraticequation is 4x² - 20x - 24 = 0 whose roots are-1 and 6.

What is a quadratic equation?

The quadratic equation is defined as a function containing the highest power of a variable is two.

The roots are given in the question, as follows:

-1 and 6

As we know that the standard quadratic equation ax² + b x + c = 0.

Since the leading coefficient of the quadratic equation is 4

So, a = 4

The sum of roots = -b/a

-1 + 6 = -b/4

5 = -b/4

b = -20

The multiplication of roots = c/a

-1 × 6 = c/4

c = -24

So, the quadratic equation is 4x² - 20x - 24 = 0.

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You've got a=4

-b/a=sum=-1+6=5 so b=-20

c/a=product=-1*6=-6 so c=-6

Final equation: 4x^2-20x-6=0

Can some one help me plz with step by step
x^2 - 12x + 35

Answers

Answer:

(x + 3)(5x + 2)

Step-by-step explanation:

{x}^(2)  - 12x + 35 \n  {x}^(2)  - 7x - 5x + 35 \n  = x(x  - 7) - 5(x - 7) \n  = (x - 7)(x - 5)

What is the distance between the points (2, 5) and (5, 7)?

Answers

Answer: √(13)\text{ units}

Step-by-step explanation:

The distance formula to calculate distance between two points (a,b) and (c,d) is given by :-

d=√((d-b)^2+(c-a)^2)

Now, the distance between(2, 5) and (5, 7) is given by :-

d=√((7-5)^2+(5-2)^2)\n\n\Rightarrow\ d=√((2)^2+(3)^2)\n\n\Rightarrow\ d=√(13)\text{ units}

Hence, the distance between the points (2, 5) and (5, 7)=√(10)\text{ units}

What is the distance between the points (2, 5) and (5, 7)?

(3, 2)