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
miskamm [114]
1 year ago
7

If X and Y are distinct digits such that the eight-digit number 7448X24Y is divisible by both 8 and 9, then find X - Y.

Mathematics
1 answer:
Talja [164]1 year ago
7 0

The value of X - Y such that the eight-digit number 7448X24Y is divisible by both 8 and 9 is 7

<h3>How to determine the distinct digits X and Y?</h3>

The eight-digit number is given as:

7448X24Y

Also, from the question

The number is divisible by 8 and 9

When a number is divisible by 8, then the last three digits of that number would be divisible by 8.

When a number is divisible by 9, the sum of the digits of the number would be divisible by 9.

So, we have:

24Y is divisible by 8

The possible value of Y from the above statement is 0

This is so because 240 is divisible by 8

The sum of the digits of the number would be divisible by 9.

This means that:

7 + 4 + 4 + 8 + X + 2 + 4 + Y = 29 + X + Y

Substitute 0 for Y

29 + X + Y = 29 + X + 0

Evaluate the sum

29 + X + Y = 29 + X

36 is divided by 9

So, we have

29 + X = 36

Subtract 29 from both sides of the equation

X = 7

So, we have

X = 7 and Y = 0

X - Y is calculated as:

X - Y = 7 - 0

Evaluate the difference in the above equation

X - Y = 7

Hence, the value of X - Y such that the eight-digit number 7448X24Y is divisible by both 8 and 9 is 7

Read more about digits at:

brainly.com/question/26856218

#SPJ1

You might be interested in
HELP ITS AN EMERGENCY HELP HELP FOR 100 POINTS
Alecsey [184]

Answer:

that's easy 4/15- 1/15=3/15,9 15/24-2 9/24=7 6/24, 1 5/1+1 1/1= 2 6/1 there

Step-by-step explanation:

6 0
2 years ago
There are 28 total students in Mr. Flynn’s class. The ratio of his students who are in the play to those who are not in the play
Vanyuwa [196]
About 18 students are in the play
3 0
3 years ago
HELP PLEASE I'M WRITING A TEST!!!<br> x+3/4 = x+5/6
Keith_Richards [23]

Answer:

no solution

Step-by-step explanation:

if u plug a random number like 1 for example 1+3/4=1 3/4 and 1+5/6=1 5/6

1 3/4 =1 5/6-this is NOT equal

so no solution

hopefully that helps! please let me know if i did anything wrong thanks!

5 0
2 years ago
Describe the transformation from the parent<br> function: f(x) = -1/4(x - 3)^2 + 2
m_a_m_a [10]
Vertical reflection over the x-axis, shrink of 1/3, right 3, up 2
3 0
2 years ago
What is the five-number summary for 1, 3, 3, 3, 4, 8, 9, 10, 10, 17?
butalik [34]

Answer:

I think 3 ............................three

7 0
3 years ago
Other questions:
  • Each week, you drive 150 miles. Your car gets 25 miles to the gallon, and gas prices are $3 per gallon. How much gas money will
    12·2 answers
  • 8x^3y^2______+3xy^2-4y^3
    7·1 answer
  • When x is 2.25, y is 6.75 y varies directly with x write the direct variation equation in the form y = kx. direct variation equa
    15·1 answer
  • What is 175-172 divided by 29 over the square root of 20
    13·1 answer
  • A 4-pint carton of fruit punch costs $1.80. What is the price per quart
    5·1 answer
  • Write an equation for the line that is parallel to the given line and passes through the given point
    7·2 answers
  • A rectangular pyramid is sliced such that the cross section is perpendicular to its base and the cross section does not intersec
    9·2 answers
  • The expression factors as: (n4 + 3)(n4 + 3)<br> (n4 - 3)(n4 + 3)<br> (n4 – 3)(n4 – 3)
    13·2 answers
  • What type of graph represents the solutions of the equation y = 2x + 4
    13·1 answer
  • PLEASE HELP RIGHT NOWWWW
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!