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MaRussiya [10]
3 years ago
8

When the positive integer x is divided by 9, the remainder is 5. What is the remainder when 3x is divided by 9?

Mathematics
1 answer:
NARA [144]3 years ago
3 0

Answer:

6

Step-by-step explanation:

Let n represent the quotient of the number.

We have been given that when the positive integer x is divided by 9, the remainder is 5. We can represent this information in an equation as:

x=9n+5

When 3x is divided by 9:

3x\Rightarrow 3(9n+5)

27n+15

Now, we need to break 15 into two numbers as:

27n+9+6

Now, we will factor out 9 as:

9(3n+1)+6

Therefore, the remainder will be 6.

   

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Ans: 10+7n

Step-by-step explanation: there you go

8 0
3 years ago
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Help pls with math lotsss of points!!!
sveticcg [70]

Answer:

5x^2+22x-12         x cannot be -5, -4, -2

(x+5)(x+4)(x+2)

Step-by-step explanation:

In order to solve this, your denominator must be the same. Let's start by writing out the two different quadratic formulas:

x^2 + 6x + 8 <-- This should factor out to (x+4)(x+2)

x^2 + 7x + 10 <-- This should factor out to (x+5)(x+2)

Now that you have factored out the two quadratics, plug them into the equation.

    5x        -       3

(x+4)(x+2)      (x+5)(x+2)

Now as we know, -2 cannot be x because it will turn the entire equation undefined. Multiple top and bottom with (x+5) on the right side and (x+4) on the left side.

5x (x+5)             -           3(x+4)  

(x+5)(x+4)(x+2)      (x+5)(x+4)(x+2)

Focus on the top. 5x(x+5) will turn out to be 5x^2+25x. 3(x+4) will turn out to be 3x+12. Combine the two equations because now they are equal to each other and do the subtraction:

5x^2+25x - (3x+12)     =    5x^2+22x-12         x cannot be -5, -4, -2

 (x+5)(x+4)(x+2)               (x+5)(x+4)(x+2)

4 0
2 years ago
How many six digit even numbers can be formed that don't end in 0?
Fudgin [204]
1st digit: 9 possibilities (can’t have 0)
2nd digit: 10 possibilities
3rd digit:10
4th digit:10
5th digit:10
6th digit: 4 possibilities (it can only be even)
9•10•10•10•10•4 =360,000 possibilities
8 0
3 years ago
What is the coefficient of the y-term in the expression 4x+5xy–2y
maks197457 [2]
The y-term is -2y. We know this is the y-term because it is a multiple of the variable y and is not multiplied with any other variables.

A coefficient is a number that a variable is multiplied by. When there is a number followed by a variable, the number is the coefficient.

In this case, the coefficient of the y-term is -2. The coefficient is negative because 2y is being subtracted, meaning the 2 is negative rather than positive.

Hope this helps!
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3 years ago
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Answer:

LCD = 36

Step-by-step explanation:

I'm sure it 36!!!!!!!!!!!!!

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