1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Luda [366]
3 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]3 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]3 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

You might be interested in
Martin charges $10 for every 5 bags of leaves he rakes
Dmitry [639]
He earns $44 dollars. he charges $2 dollars for every bag.
8 0
2 years ago
A study of bone density on 5 random women at a hospital produced the following results.
IRINA_888 [86]

Answer:

- 0.9503 ; r is not statistically significant ; 0.9031

Step-by-step explanation:

Given the following :

Age (X) :

37

41

57

65

73

Bone density (Y)

355

345

340

315

310

Using the pearson R value calculator :

The r value of the data % - 0.9503.

This value depicts a very strong negative correlation between age and density of bone.

Using the pearson R calculator to obtain the P- value, the P value obtained is .01332 and hence the r is not significant at P < 0.01.

The Coefficient of determination R^2 can be obtained by getting the square value of R

R^2 = - 0.9503^2

R^2 = 0.90307009

R^2 = 0.9031

8 0
3 years ago
Solve for<br> 20 = 5(x + 1)<br> X =
Nataly [62]

Answer:

x = 3

Step-by-step explanation:

5(x+1) = 20

x+1 = 20/5

or, x+1 = 4

or, x = 4-1

so, x = 3

6 0
2 years ago
Read 2 more answers
Which expression is equivalent to<br> (r-7)6?
lapo4ka [179]

Answer:

Step-by-step explanation:

The expression equivalent to

( r^{-7})^{6}     \\is\\\frac{1}{r^{42} }

Hope it helps :)

3 0
3 years ago
Pre-Test
fiasKO [112]

Answer:

x5

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What is 2 square root 45
    10·1 answer
  • Use partial products to find 15x32
    10·2 answers
  • Find the value of x (2x) (5x +15)
    13·1 answer
  • Tan A= 43 <br> what is the missing value to the nearest hundredth
    13·1 answer
  • Not sure what the answer is hope an expert can help
    9·2 answers
  • I really need help with this answer can someone help?
    7·2 answers
  • A group of parents is planning an end-of-year party for the eighth grade class at Ridgeway
    11·1 answer
  • The list below shows the results of a survey of favorite ice-cream flavors among middle-school students.
    15·1 answer
  • Sorry for all the questions!!
    15·1 answer
  • 30 points !!!!!!!!!!!! HELPPPP!!!!!!!!! SIMPLIFY THE EXPRESSION!!!!!!!!!!!<br><br><br>(9ab^-5)^-2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!