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
lara31 [8.8K]
3 years ago
15

The seven-digit number 1113A8B can be divided by 4, 5, and 9 What is the sum of the digits A and B?

Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0

Answer:

4

Step-by-step explanation:

This seven-digit number can be divided by 4, 5 and 9.

This means that 4, 5 and 9 are ALL factors.

Find the least common multiply (LCM) of 4, 5 and 9.

Multiples of 4: 4 , 8 , 12 , 16 , 20

Multiples of 5: 5 , 10 , 15 , 20

Find a multiple of 9 that is also a multiple of 20. All multiples of 20 have the factors 4 and 5.

9 X 20 = 180

The <u>seven-digit number must be a multiple of 180</u> to have the factor 4, 5 and 9. You can find the multiples of 180 until the number looks like 1113A8B, but there are better methods.

All multiples of 180 end in the digit "0". Therefore B = 0.

1113A80

Since 9 is one of the factors, the rules for a number divisible for 3 apply. (9 is a multiple of 3).

You know that a number is divisible by 3 when its digits add to a number divisible by 3.

Find the sum of the digits:

1+1+1+3+A+8+0 = A + 14

A + 14 must be divisible by 3.

Therefore, A has to be either 1, 4, or 7.

If A = 1

1113180 ÷ 180 = 6184.333

If A = 4

1113480÷ 180= 6186

If A = 7

1113780 ÷ 180 = 6187.7

A = 4 because that number is divisible by 180.

Add A = 4 and B = 0.

A + B

= 4 + 0

= 4

The sum of digits A and B is 4.

You might be interested in
Please help me! (please no links!)​
Pavlova-9 [17]

Answer:

a.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If rectangle ABCD is rotated counter clock wise 90º about the origin, what will be the coordinates of the vertex D'?
7nadin3 [17]
So, the best way to do this is translate it to clockwise. 90 degrees counterclockwise is equal to 270 degrees clockwise. So, basically, to rotate, you would follow the following format for each point-
(X,Y) -> (-Y,X)
Now, you do it for each of the points.
A= (-5,5), so A' would be (-5,-5)
B= (-1,5), so B' would be (-5,-1)
C= (-5,4), so C' would be (-4,-5)
D= (-1,4) so D' would be (-4,-1)
Notice, how all the points end up in the square below it. Each quadrant has a specific number. The top right is quadrant 1, the top left is quadrant 2, the bottom left is quadrant 3, and the bottom right is quadrant 4. If you are rotating 270 degrees clockwise, you move to the right, like a clock. That puts the new rectangle in quadrant 3. That is a way to check your work.
Now, just so you know for future reference, the following are also different formats for different problems--
A 90 degree Clockwise rotation about the origin will be (X,Y) -> (Y, -X) *Note, -x just stands for the opposite. Say your original x is a negative number. Then the prime (new) x will be positive.
A 180 degree Clockwise rotation about the origin would be (X,Y) -> (-X,-Y) *Note, -y also stands for the opposite.
A 270 degree clockwise rotation about the origin would be (X,Y) -> (-Y,X).
For translating---
90 degrees Clockwise = 270 degrees Counter
270 degrees Clockwise = 90 degrees Counter

Hope this helped!
4 0
3 years ago
How was ABCDEFGH transformed to A'B'C'D'E'F'G'H'?
Yanka [14]
So ur going from a smaller shape to a larger shape....means the scale factor is more then 1. The scale factor is the number that u multiply the original shape by to get the other shape.

so lets look at DE...it is 2.....and D'E' is 6

so 2 * x = 6...with ur scale factor being x
2x = 6
x = 6/2
x = 3.....so the scale factor is 3....because multiplying the original shape by 3, gives u the other shape

7 0
3 years ago
Read 2 more answers
Can someone helllllppp me on 5 more problems like this n I’ll give u 20 dollars in cashapp plzzz I’m being serious
Vlada [557]

Answer:

y = x - 5

Step-by-step explanation:

\rm Solve \:  for  \: y: \\  \rm \longrightarrow  x  - y= 5 \\  \\  \rm Subtract  \: x  \: from  \: both \:  sides: \\  \rm \longrightarrow x - y - x = 5 - x \\ \\   \rm \longrightarrow -y = 5 - x \\  \\  \rm Multiply \:  both  \: sides  \: by  \: -1: \\  \rm \longrightarrow  - y \times ( - 1) = (5 - x) \times ( - 1) \\  \\  \rm \longrightarrow y = x - 5

5 0
3 years ago
HELP!!!! BRAINLIEST!! Jason says that if you multiply each length in a Pythagorean triple by the same factor, you will get anoth
Eddi Din [679]

Answer:

Valerie?! jacks looking for u!!!

5 0
2 years ago
Read 2 more answers
Other questions:
  • _____ season is when the weather is not optimal and few tourists have vacation time.
    10·2 answers
  • Simplify the expression 4+x+6+2x
    5·2 answers
  • Bill is in a class of 15 boys and 35 girls. 40% of the students in class take the bus to school. How many students did not take
    9·2 answers
  • alex reads 12 pages. jenna reads 15 pages in 12 minutes. they are both reading 60- page magazine who will finish reading first
    5·1 answer
  • PLEASE HELP AS SOON AS YOU CAN :)))))<br><br><br> Graph f(x)=4[x]+5
    15·1 answer
  • The temperature in Sunnyside was 76°F.
    12·2 answers
  • If 10/4 = 14/x what is x?
    7·2 answers
  • One leg of a right angle has a length of 3m. The other sides have lengths
    5·1 answer
  • A rectangle measures 2 <br> 1/5<br> inches by 2 <br> 4/5<br> inches. What is its area?
    12·1 answer
  • Help what is the surface area of each shape?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!