![vaneayala3078](/avatars/23856.jpg)
vaneayala3078
23.10.2020 •
Mathematics
Find the distance between the pair of points. Enter your answer in the box.
(-3, -6) and (-3, 1)
Solved
Show answers
More tips
- H Health and Medicine Reasons for the Appearance of Warts: Everything You Need to Know...
- G Goods and services What Are the Most Popular Services?...
- O Other What is the oldest joke ever told?...
- L Legal consultation How to Properly Inherit: Tips and Recommendations...
- C Computers and Internet Boost your processor performance with these easy tips...
- S Sport How does Bodyflex work: what is it and how does it work?...
- H Health and Medicine How to Whiten Teeth and Get the Perfect Smile...
- S Style and Beauty How to Properly Apply Eye Makeup: Tips from a Professional Makeup Artist...
- A Auto and Moto How Can Parking Sensors Help Drivers?...
- C Computers and Internet Make Money Online: Secrets and Essential Ways...
Answers on questions: Mathematics
- M Mathematics What is the domain of f(x)=1/x? a. all real numbers except 0 b. x=0 c. f(x) ≠0 d. all real numbers...
- M Mathematics Find the volume of the cone to the nearest tenth with a diameter of 2 ft and a height of 8 ft...
- M Mathematics Solve this expression: three less than one fourth of the product of eight thirds and nine...
- M Mathematics Students from an art club requireat least $200 club of these shows the number of gifts bags,x,they should sell?...
- M Mathematics Abc is inscribed in circle o. if mab=132 and bc =82 find adc...
- M Mathematics Aweb music store offers two versions of a popular song. the size of the standard version is 2.7 megabytes (mb). the size of the high-quality version is 4.1 mb. yesterday,...
- M Mathematics If x = 2 and y = 1, then 3(y – 1) + 2x2 =...
- M Mathematics If $7500 is invested at an interest rate of 5% each year, what is the value of the investment in 4 years? write an exponential function and solve....
- M Mathematics Write a recursive formula for the sequence 7,13,19,25, then find the next term...
- M Mathematics Donna is riding her bicycle. she rides for 17.5 kilometers at a speed of 7 kilometers per hour. for how many hours does she ride?...
Ответ:
Ответ:
We know that a number is divisible by 3 if the sum of its digits is a multiple of 3.
if the sum is a multiple of 3 + 1 (like 3*n + 1) the remainder is 1
if the sum is a multiple of 3 + 2 (like 3*n + 2) the remainder is 2.
Then we need to find the sum of all the single digits in the number:
101102103104...149150
the sum of all the single digits is:
( 1 + 1) + (1 + 2) + (1 + 3) + ... + (1 + 4 + 9) + ( 1 + 5)
The method i used is:
(from 101 to 110)
first we sum the hundreds digit 10 times, and then we add the unit digits for each case, this is:
1*10 + (1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 + 1) = 10 + 46
From (111 to 119)
first we add the sum of the hundreds and tens digits 10 times, and then the units:
2*9 + ( 1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 )
now if we also add the number 120 (so we have the range 111 to 120)
the sum becomes:
2*9 + ( 1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 ) + 1 + 2
2*10 + (1 + 2+ 3 + 4+ 5+ 6+ 7+ 8 + 9 + 1 ) = 20 + 46
You already can see the pattern here.
in the range from (121 to 130) we will have the sum equal to 30 + 46
in the range from (131 to 140) we will have the sum equal to 40 + 46
in the range from (141 to 150) we will have the sum equal to 50 + 46
Then the total sum is:
(10 + 20 + 30 + 40 + 50) + 5*46 = 380
We know that 380 is multiple of 3 (because 3 + 8+ 0 = 12)
Then the remainder is 0.