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
DochEvi [55]
3 years ago
11

what is the least number that must be added to 2000 so that the sum is divisible exactly 10,12,16and 18 ? do it step by step

Mathematics
1 answer:
Rudiy273 years ago
5 0

The integers divisible by any set of positive integers are the multiples of their LCM

let us first write the factored form of each

10 = 2×5

12 = 2×2×3

16 = 2×2×2×2

18 = 2 x3×3

Now we will find lcm of these numbers

LCM = 2×2×2×2×3×3×5 = 720

The multiples of 720 are divisible by 10,12,16 and 18.

2000/720 = 2.777777...

The least integer greater than that is 3, so 3×720 = 2160 is the least integer greater than 2000 that is divisible by 10,12,16 and 18.

so if we need to find what must be added to 2000 so that the sum is divisible by 10,12,16 and 18, we must subtract 2000 from 2160

2160-2000=160

so we must add 160 to 2000 so that the sum is divisible exactly 10,12,16and 18

You might be interested in
Can anyone help?? 30 points if you help
Brilliant_brown [7]

Answer:

The image is blurry.

Step-by-step explanation:

4 0
3 years ago
Divide. Give the quotient and remainder.<br> 33 - 8<br> :))))
Ilya [14]
Answer: 9 remainder 2

Explanation: 9 is the closest 6 can get to 56 without going over. Since 9•6=54, and 56-54=2 , 2 is the remainder.
3 0
3 years ago
Read 2 more answers
What is the equation of the graph in slope-intercept form?
Slav-nsk [51]
The answer is B y=4x-6
7 0
3 years ago
What is 2gh−(3+7)+ 4 x ​
Leno4ka [110]

Answer:

answer -10

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Three interior angles of a quadrilateral have measures of 100degree,120degree, and 80 degree. Find the fourth angle measure.
charle [14.2K]

Answer:

The fourth angle = 60°

Step-by-step explanation:

the sum of the interior angles of a quadrilateral is 360°.

The fourth angle = 360° - 100° - 120° - 80° = 60°

4 0
2 years ago
Other questions:
  • Please help me please
    6·1 answer
  • Y=2/3(x-5)^2
    12·1 answer
  • Multiply 2(x+3)/x(x-1)*4x(x+2)/10(x+3)
    6·1 answer
  • Elena and Jada are 12 miles apart on a path when they start moving towards each other Elena runs at a constant speed of 5 miles
    14·2 answers
  • Tess ran 4 3 3 4 ​ start fraction, 4, divided by, 3, end fraction kilometers each day for 2 22 days. Cam ran 2 3 3 2 ​ start fra
    14·1 answer
  • Slope intercept form of a line that has a slope of -3/4 and passes through (4, 3)
    7·1 answer
  • 1. Josefina ha pintado 2/4 de una pared y su hermano<br>  ¿Cuánto han pintado entre los dos?
    15·1 answer
  • 2, 2, 2, 3, 4, 4, 11<br> What is the median of the seven data values shown
    9·2 answers
  • Which of the following represents the zeros of f(x) = 2x3 − 5x2 − 28x + 15?
    11·1 answer
  • What is 9 superscript 7 written in expanded form? 9 + 9 + 9 + 9 + 9 + 9 + 9 9 times 9 times 9 times 9 times 9 times 9 times 9 7
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!