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IrinaVladis [17]
3 years ago
12

Express 429 as a product of its prime factors​

Mathematics
2 answers:
lawyer [7]3 years ago
8 0

Answer:

The answer is 429 = 3×11×13.

Step-by-step explanation:

You have to divide by prime number :

429 ÷ 3 = 143

143 ÷ 11 = 13

13 ÷ 13 = 1

Nana76 [90]3 years ago
3 0

Answer:

3×11×13

Step-by-step explanation:

  1. Start dividing by prime numbers. Since the number is even two won't work so next is three. If you divide 429 by 3 you get 143.
  2. You continue doing this with primes going up (5, 7, 11, 13, etc.) until you get to the final prime. 5 and 7 don't work if you try dividing them by 143 individually so next up is 11. If you divide 11 by 143 you get 13 which is also a prime number.
  3. Therefore, 3×11×13 is a product of prime factors.
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109⁰+118⁰+44⁰=× can you please help​
Paha777 [63]

Answer:

x = 271 degrees

Step-by-step explanation:

6 0
2 years ago
Which problem will have the greater quotient, 376.0 divided by 92 OR 376 divided by 93.01? Explain how you know logically
xxTIMURxx [149]
1. 376.0 / 92 = ?

2. 376 / 93.01 = ? 

So the question asks us which quotient will be greater. In plain English it is asking which of the two, ?, will be greater. Seeing how the question is asking for a logical answer we are not going to actually solve the problem. Instead we will use logic. 

First let's do some examples, and explain more in-depth how division works.

A. 6/3 = 2
B. 6/2 = 3

In this case, B is greater than A.

Greater than being any number that is larger than another on a scale reading from left to right, so if you were to count out all the way to the number the one that comes first is lower in value than the one that comes second.

Division works like this: Say we have a full delicious pie. We want to divide it up into 12 pieces so all our friends can have some. What we're doing is simply finding a value that if multiplied by 12 would equal our 1 pie. If you instead divided it by 24 you would have even SMALLER pieces of pie. 

A. 5/2
B. 5/3

You might not be able to answer this one, but say our pie is equal to 5. For A. imagine we take a pie and cut it in half. Now for B. imagine a pie and cut it into 3 equal sized pieces. Which one will have the bigger individual pieces? A. will!

Keep in mind that the individual size of the piece would be the quotient (the quotient just means the answer to a division problem).
 
Now to quickly dismiss the 376.0, When you add 0's to the DECIMAL you do not change the value.
If you did then, 0.0 wouldn't still be 0. Or 1.0 wouldn't still be 1. The .0 is just a place holder and signifies nothing. Don't get this confused with adding a zero to the end of a number, because that does change the value (except in the case of 0). 1 with an extra zero becomes 10, and so on. 

So let's tackle this problem!
A. 376.0 / 92
B. 376 / 93.01

In the end the .0 is meaningless so it's the same as this: 
A. 376 / 92
B. 376 / 93.01

All we are looking for is the dividend that is smaller. (A dividend being what is dividing a number. In the case of 4/2 the dividend is 2. 5/2, the dividend is 2. 6/3, the dividend is 3. So in other words the dividend is the number after the division symbol, or in this case the slash (they are the same)).

So let's see, which is smaller? 92, or 93.01.
Whichever is smaller is going to have a bigger slice of pie than the other one. So, 92. Is our answer.

Note that this reasoning worked, because the numerator (376) is the same on both division problems. If they differed we wouldn't be able to use the same logic (at least as easily as we did in this problem!).  

 
3 0
3 years ago
Please help I don't understand!
coldgirl [10]

Answer:

AB

Step-by-step explanation:

I believe because on the other side it is AE over ED so I just repeated the pattern.

6 0
2 years ago
Perfect Pies charges $6 for an apple pie.
Aloiza [94]

Answer:

6 * p ≤ 30

p  ≤ 5

The maximum number of pies she can buy is 5

Step-by-step explanation:

Let p equal the number of pies she will buy

Each pie costs 6 dollars.  She will spend 6 * p

The cost must be less than or equal to 30 dollars

6 * p ≤ 30

To solve divide each side by 6

6 * p/6 ≤ 30/6

p  ≤ 5

8 0
3 years ago
Read 2 more answers
Check all that apply please
love history [14]

As, synthetic division by -4 gives remainder 0. Hence, Option B is correct. -4 is a root of 3x^{2} +7x-20

As, x+4=0 gives x=-4.

So, option C is correct,

(x+4) is factor of 3x^{2} +7x-20

Option E is correct

\frac{3x^{2} +7x-20 }{x+4}=3x-5

3 0
3 years ago
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