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Luda [366]
2 years ago
5

If (1x2y6z) is a number divisible by 9 , then what os the least value of x+ y+z ?

Mathematics
2 answers:
Alexxx [7]2 years ago
8 0

Given:  

Number 1X2Y6Z is divisible by 9.

To find:  

The least value of  X+Y+Z = ?

Solution:  

First of all, let us learn the divisibility rule of 9.  

A given number will be divisible by 9 if and only if the sum of digits of the given number is also divisible by 9.

For example:

Let us consider a number 923463.  

The sum of digits = 9 + 2 + 3 + 4 + 6 + 3 = 27  

27 is divisible by 9 so the number 923463 will also be divisible by 9.

Let us consider another example 8972.  

Sum of digits = 26  

26 is not divisible by 9 so the number 8972 will also be not divisible by 9.

Now, we are given the number 1X2Y6Z.  

Sum of digits = 1 + X + 2 + Y + 6 + Z = 9 + X+Y+Z

The number 1X2Y6Z will be divisible by if 9+X+Y+Z is divisible by 9.  

The least value of X+Y+Z can be zero, so the sum of digits = 9 + 0 = 9  

which will make the number 1X2Y6Z divisible by 9.

So, the answer is:

Least value of X+Y+Z = 0 so that the number 1X2Y6Z is divisible by 9.

Westkost [7]2 years ago
8 0

9514 1404 393

Answer:

  0

Step-by-step explanation:

For a number to be divisible by 9, the sum of the digits must be divisible by 9. The given digits total 9, so x+y+z must be a multiple of 9. The least possible multiple of 9 is 0.

The least value of x+y+z is 0.

_____

102060/9 = 11340

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MakcuM [25]

\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}

1. Both are corresponding angles, hence they both are equal, so,

44x + 2 = 45x \\  =  > 2 = 45x - 44x \\  =  > 2 = x \\  =  > x = 2

Ans. C) 2

2. They both are in interior corressponding, hence their sum is equal to 180°, so,

10x + 6 + 104 = 180 \\  =  > 10x + 110 = 180 \\  =  > 10x = 180 - 110 \\  =  > 10x = 70 \\  =  > x =  \frac{70}{10}  \\  =  > x = 7

Ans. D) 7

3. They both are in interior corressponding, hence their sum is equal to 180°, so,

x + 75 + x + 125 = 180 \\  =  > 2x + 200 = 180 \\  =  > 2x = 180 - 200 \\  =  > 2 x =  - 20 \\  =  > x =  \frac{ - 20}{2}  \\  =  >  x =  - 10

Ans. A) -10

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6 0
3 years ago
I need help please i​
balandron [24]

Answer:

<em>2 7/24</em>

Step-by-step explanation:

<em>First we have to add the gallons of two cow of each owner:</em>

<em>Hank's cows: </em><em>4 3/4 + 4 1/8</em>

<em>Add the whole numbers:</em>

<em>4 + 4 = 8</em>

<em>Now for 3/4 and 1/8 </em>

<em>Find common</em>

<em>6/8 + 1/8</em>

<em>= 7/8</em>

<em>Put together :</em>

<em>8 7/8</em>

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<em>Add the whole number</em>

<em>5 + 5 = 10</em>

<em>Now for 1/2 and 2/3</em>

<em>3/6 + 4/6</em>

<em>1 1/6</em>

<em>10 + 1 1/6 </em>

<em>= 11 1/6</em>

<u><em>Since now we know that:</em></u>

<u><em>Hank - </em></u><em>8 7/8</em>

<u><em>Debra - </em></u><em>11 1/6</em>

<em>we can solve the question:</em>

<em>How many more gallons of milk did Debra's two cows produce on that compared to Hank's two cows?</em>

<em>Solution:</em>

<em>11 1/6 - 8 7/8</em>

<em>Subtract whole number</em>

<em>11 - 8 = 3</em>

<em>Now for 1/6 and 7/8</em>

<em>4/24 - 21/24</em>

<em>4-21/24</em>

<em>-17/24</em>

<em>2 7/24</em>

<em />

<u>~lenvy~</u>

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