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salantis [7]
3 years ago
8

Explain prime factorization of 2025

Mathematics
1 answer:
gregori [183]3 years ago
4 0
Hi , we are going to begin with the numbers that are divisible with 2025 .
Basically I'm aware that 2 is not divisible , so we are going to use 3 .
2025 divided by 3 = 675 divided by 3 = 225 divided by 3 = 75 divided by 3 = 25 divided by 5 = 5
I used 5 because I cant use 3 , in other words you can divide 25 and 3 , but you will not get  a whole number .I stopped when I divided 25  and  5 because  I got 5  which is a  [prime number] , when you are doing this type of exercises , when you see a prime number you have to stop.
So the prime factorization is 3 times 3 times 3 times 3 times 5 times 5.
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nlexa [21]

Answer:

x=9 and y=115

Step-by-step explanation:

Solve y=9x+34;y=16x−29

Steps:

I will solve your system by substitution.

y=9x+34;y=16x−29

Step: Solvey=9x+34for y:

Step: Substitute9x+34foryiny=16x−29:

y=16x−29

9x+34=16x−29

9x+34+−16x=16x−29+−16x(Add -16x to both sides)

−7x+34=−29

−7x+34+−34=−29+−34(Add -34 to both sides)

−7x=−63

−7x

−7

=

−63

−7

(Divide both sides by -7)

x=9

Step: Substitute9forxiny=9x+34:

y=9x+34

y=(9)(9)+34

y=115(Simplify both sides of the equation)

Hope this helps :)

3 0
3 years ago
The size of angle aob is equal to 132 degrees and the size of angle cod is equal to 141 degrees. find the size of angle dob.
Varvara68 [4.7K]

angle AOB = 132 and is also the sum of angles AOD and DOB. Hence 
angle AOD + angle DOB = 132°    ---> 1 

angle COD = 141 and is also the sum of angles COB and BOD. Hence 
angle COB + angle DOB = 141°    ---> 2

Now we add the left sides together and the right sides of equations 1 and 2 together to form a new equation. 

angle AOD + angle DOB + angle COB + angle DOB = 132 + 141       ---> 3 

We should also note that: 
angle AOD + angle DOB + angle COB = 180° 

Therefore substituting angle AOD + angle DOB + angle COB in equation 3 by 180 and solving for angle DOB:
180 + angle DOB = 132 + 141 
angle DOB = 273 - 180 = 93° 

8 0
3 years ago
The price of a dvd is $24.00 plus 8% sales tax
hram777 [196]

Answer:

25.92

Step-by-step explanation:

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s2008m [1.1K]
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3 years ago
Solve for x: 6x + 1 over 4 (4x + 8) > 12
sukhopar [10]

Answer:

A. x>\frac{10}{7}.

Step-by-step explanation:

We have been given an inequality 6x+\frac{1}{4}(4x+8)>12. We are asked to solve the given inequality for x.

Using distributive property, we will get:

6x+\frac{1}{4}*4x+\frac{1}{4}*8>12

6x+x+2>12

7x+2>12

Subtract 2 from both sides:

7x+2-2>12-2

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Divide both sides by 7:

\frac{7x}{7}>\frac{10}{7}

x>\frac{10}{7}

Therefore, option A is the correct choice.

3 0
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