Answer:
139,999
Step-by-step explanation:
If the digit sum of n is divisible by 5, the digit sum of n+1 can't physically be divisble by 5, unless we utilise 9's at the end, this way whenever we take a number in the tens (i.e. 19), the n+1 will be 1 off being divisble, so if we take a number in the hundreds, (109, remember it must have as many 9's at the end as possible) the n+1 will be 2 off being divisble, so continuing this into the thousands being three, tenthousands being 4, the hundred thousands will be 5 off (or also divisble by 5). So if we stick a 1 in the beginning (for the lowest value), and fill the last digits with 9's, we by process of elimination realise that the tenthousands digit must be 3 such that the digit sum is divisible by 5, therefore we get 139,999
Notice that a number is only divisible by 5 if it ends in 5 or 0.
Only using this, we will find that the number is 49,999
Suppose we wanted the sum of the digits to end in 5, then we could have something like:
23
2 + 3 = 5
if we add 1, we get:
23 + 1 = 24
2 + 4 = 6
This will happen always.
instead, if we use a 0 as the last digit of the sum, we get:
For example, the simplest one:
19
we have:
1 + 9 = 10
10 is divisible by 5.
if we add 1, we get:
19 + 1 = 20
2 + 0 = 2
2 is not divisible by 5.
We have a problem again, but this time you can see that the whole structure of the number does change. So we should keep trying with ones and nines.
Now we need to modify our number to the point we get n + 1 to be divisible by 5.
if we add a 9 to the right side of our number, we get:
199
1 + 9 + 9 = 19
clearly, not divisible by 5.
Here we need to add a 1 at the left side to make it divisible by one, so we get:
1199
1 + 9 + 1 + 9 = 20
this is divisible by 5.
now let's add 1:
1,199 + 1 = 1,200
1 + 2 = 3
3 is not divisible by 5.
Now, if you look at the two numbers we used, we can see that:
for 19, the sum of the digits + 1 gave us a 2.
for 1,199, the sum of the digits +1 gave us a 3.
then just let's add two ones and two nines.
We will get:
11,119,999
adding the digits:
1 + 1 + 1 + 1 + 9 +9 +9 +9 = 40
is divisible by 5.
Adding one to our number, we can get:
11,119,999 + 1= 11,120,000
Adding the digits:
1 + 1 + 1 + 2 + 0 + 0+ 0+ 0 = 5
divisible by 5.
Now, we can group the ones together, so instead of the number 11,119,999
we can have 49,999, which is way smaller.
Adding the digits, we get:
4 + 9 + 9 + 9 + 9 = 40
And adding one to our number, we get:
49,999 + 1 = 50,000
Adding the digits:
5 + 0 + 0 +0 + 0 = 5
So we found the smallest number n such that the sum of the digits of n is divisible by 5, and the sum of the digits of n + 1 is also divisible by 5.
If you want to learn more, you can read:
https://brainly.com/question/21416852
Which fractions are equal to 0.375?
The fraction that is equal to 0.375 is 3/8.
Hope this helps! :)
Solve using any method. All work must be shown and handwritten.
3x-y=-10
x+y=-2
show how it is solved please <3
Answer:
[tex]x = - 3[/tex]
[tex]y = 1[/tex]
Step-by-step explanation:
Write the system
[tex]3x - y = - 10[/tex]
[tex]x + y = - 2[/tex]
Solve by Elimination.
multiply the second equation by -3.
[tex]3x - y = - 10[/tex]
[tex] -3x - 3y = 6[/tex]
Add the Equations.
[tex] - 4y = - 4[/tex]
[tex]y = 1[/tex]
Plug this back in one of the equations.
[tex]x + 1 = - 2[/tex]
[tex]x = - 3[/tex]
Answer:
x = -3
y = 1
Step-by-step explanation:
3x - y = -10
x + y = - 2
x + y = - 2
x = -y - 2
replacing in other equation
3(-y - 2) - y = -10
-3y - 6 - y = - 10
rearranging the equation
-3y - y = = -10 + 6
-4y = -4
y = 1
putting this value in first eqn we get
x - y = -2
x - (1) = -2
x = -2-1
x = -3
In algebra - what can the letter "d" represent? For example, what does "d" stand for in this expression "2d + 3"? *
Answer:
A constant you need to find when given what the equation is equal to.
Answer:
Here, 'd' is the variable of 2.
How is the year 2019 written as a Roman Numeral? Standard Number Roman Numeral 1 V 1 5 10 50 100 500 1,000 C D M A) MMXIX B) MMXVIII С) ССХІХ
Answer:
MMXIX
Step-by-step explanation:
The year 2019 written in romal numeral form is MMXIX
helpppppp meeeeeee plssssss!!!!!!!!!!!!!!!1
Answer:
-12
Ydbzushsbsksjsbsksudjeke
I need help on this problem
Answer:
x 1 / 2 / 3 / 4 / 5
y -3 / 3 / 11 / 21 / 33
you can figure this put by just putting the equation above in a calculator and replacing all the x's with numbers and press equal the answer is y
example
1^2 + 3(1) -7 = -3
x= 1
y=-3
and you can use those coordinates to graph them
(1,-3) (2,3) (3,11) (4,21) (5,33) and so on
a padock measures 100m x 150m . how many times does jo need to run around it to go 3km?
SIZE
400
UNIT OF MEASURE
meters
BASED ON LANE
1
To begin, you must do Steps 1-3 to enter (or verify) the correct information for the track being used. Frequently-used values have been pre-entered in all three steps. Change them only if required.
Step 1. ENTER THE TRACK SIZE (i.e., the distance covered when completing one lap - normally in Lane 1) and select the unit of measure.
most outdoor tracks are either 400 meters or 440 yards (4 laps to a mile)
most indoor tracks are either 200 meters or 220 yards (8 laps to a mile)
See NOTE 3 for determining track size. Also note that a very small number of tracks use a lane other than Lane 1 to define the track size (see NOTE 4). If the size you entered is not based on Lane 1, select the lane number upon which the size is based.
Step 2. ENTER THE LANE WIDTH of lanes on the track (they should all be the same width). While the best tracks (IAAF, Olympic, etc.) have lanes that are 1.22m to 1.25m wide, most high school and college tracks have lane widths measured in inches (e.g., 42"). See NOTE 5 for information on how to measure lane width. LANE WIDTH
42
Step 3. IS THERE A RAISED CURB on the inside of Lane 1 (normally 2" - 2.5" high)? If there is, select "yes." If the inside edge of Lane 1 is defined only by a painted line, select "no." See NOTE 6 for further information about curbs.
no
Now that you have completed Steps 1 - 3, select a calculation section below, enter the requested parameter(s), and click on the "click here" calculation button for that section. After noting (or printing) the results, enter different parameters for the same calculation or proceed to another calculation section.
ANWERS: 42
Answer:
Six times.
Step-by-step explanation:
Find the perimeter: 100+100+150+150= 500 m all the way around
3 km = 3000 m
3000 divided by 500 is 6 times.
Which of these is a factor in this expression?
624 – 4+9 (73 + 3)
O A. -4+9 (+ 3)
O B. (18+ 3)
O C. 624 – 4
O D. 9 (y2 + 3)
URGENT
Answer:
May be the ans is option C and A
What 2 divided by 188
Answer:
1/94
Step-by-step explanation:
2/188 = 1/94
Answer:
0.01063829787.
Step-by-step explanation:
Caculator.
what are the next two numbers in the sequence? 1,3,8,16,
and the sequence 1,26,24,120
Answer:
256, 254
Step-by-step explanation:
Supposed a certain game is fair and costs $4 if you lose and has a net payoff of $9 if you win. The only
possible outcomes of the game are winning and losing.
What is the probability of winning?
Answer:
32.5% Win Rate
Step-by-step explanation:
I got this answer by first:
( 9 ) * x + ( -4 ) * ( 1 - x ) = 0
9x - 4 + 4x = 0
13x = 4
then finally:
13/4 = 3.25 | And to get that into percent you multiply that by 10, giving you a 32.5% win rate. or 325 / 1000. Meaning you will win 325 out of 1000 games you play. Hope this helped!
Probability of winning is 0.69.
What is probability?Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.
According to the question
Supposed a certain game is fair and costs $4 if you lose and has a net payoff of $9 if you win.
The only possible outcomes of the game are winning and losing.
The probability of winning = [tex]\frac{9}{4+9}[/tex]
= [tex]\frac{9}{13}[/tex]
= 0.69
Hence, probability of winning is 0.69.
Find out more information about probability here
https://brainly.com/question/11234923
#SPJ2
Simplify 4(2x3 – 5x2 + 8x + 2) - 6x - 8x3
Answer:
- 20x² + 26x + 8
Step-by-step explanation:
Given
4(2x³ - 5x² + 8x + 2) - 6x - 8x³ ← distribute parenthesis by 4
= 8x³ - 20x² + 32x + 8 - 6x - 8x³ ← collect like terms
= - 20x² + 26x + 8
Find the perimeter and area of figures 1-20
Answer:
figure 1
3 + 3 + 3 + 1 + 1 + 1= 12 units
area is 3x1 + 1x1 + 3x1 = 7 sq units
figure 2
perimeter do the same as figure 1 and youll get
32 units i assume
area do the same as figure
then bueno
factor & solve please helppp my brain is mush i don’t remember anything
HELP ME PLZ. I have no clue how to do this.
Answer:
32
Step-by-step explanation:
3x+1=8x-24
25=5x
x=5
3 times 5 plus 1 is 16 and so the length is 32
comment section:
XM=MY because MN is segment bisector
XM=3x+1=3*5+1=16=MY and since XM+MY=XY 16+16=32
to the nearest tenth cm^3 what is the volume of a sphere with a length of 2.40 cm a width of 2.40 cm and a height of 2.40cm
Answer:
9
Step-by-step explanation:
show your work and answer
What is the cost of 1.5 kg of apples at $2.98 per kilogram?
[tex]\\ \rm\Rrightarrow 2.98\times 1.5[/tex]
[tex]\\ \rm\Rrightarrow 2.98\times \dfrac{3}{2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{8.94}{2}[/tex]
[tex]\\ \rm\Rrightarrow 4.47[/tex]
How do you know that the absolute value of -|-9| is equal to -9?
Step-by-step explanation:
b/c -|9|
first we will out the number from absolut value
then it will give as -9
On Tuesday, Leslie spent 47 minutes on math homework, 39 minutes on science homework, 52 minutes on English homework, and 44 minutes on history homework. How much time did Leslie spend doing her homework on Tuesday?
Answer:182
Step-by-step explanation:
47+39+52+44 = 182
Answer:
Step-by-step explanation:
Time spend on doing homework = 47 + 39 + 52 + 44 = 182 minutes
= 182 ÷ 60 = 3 hours 2 minutes
9. 6(0.4 +0.3) =
I need it now!!!!!
:)
Answer:
4.2
Step-by-step explanation:
0.4+0.3=0.7
0.7x6=4.2
Answer:
4.2
Step-by-step explanation:
6(0.4+0.3)
=> 6(0.7)
=> 6 x 0.7
=> 4.2
Pablo works as a tutor and gets paid 6 an hour complete the table and graph to showthis relationship
Answer: Total Pay = 6X
Step-by-step explanation: This assunes the question wants to know how to calculate Pablo's earning for a given tutoring time.
Pablo's rate is $6/hr. Set X to the number of hours of tutoring. Pablo's total pay would be:
Total Pay = 6X
What is the like terms on this equation
3+5–2x–54-7
Answer:
3, 5, -54, and -7 are like terms while -2x stays alone.
Step-by-step explanation:
3+5-2x-54-7=0
3+5-2x-61=0
5-2x=61-3
5-2x=59
-2x=59-5
-2x=54
(-x)=54/2
(-x)=27
x=-27
Plz help!! Math isn’t my thing. I’ll give brainliest.
Answer:
(2, - 6 )
Step-by-step explanation:
Use the mid point formula and equate to each coordinate of the midpoint
with endpoints (x₁, y₁ ) and (x₂, y₂ ) then
midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
let S = (x, y) , then
[tex]\frac{x+0}{2}[/tex] = 1 ( multiply both sides by 2 )
x = 2
and
[tex]\frac{y+2}{2}[/tex] = - 2 ( multiply both sides by 2 )
y + 2 = - 4 ( subtract 2 from both sides )
y = - 6
Then S (2, - 6 )
What time is shown on the clock?
Answer:
its 12.03
have a great dayy
Answer:
12:40
hope this will help you have a great day
QUICK PLEASE!!!
Consider f(x) Equals StartFraction 8 (x minus 1) Over x squared + 2 x minus 3 EndFraction.
Which statements describe the existence of vertical asymptotes at x = –3 and x = 1?
Answer:
A
Step-by-step explanation:
edge 2021
Answer:
It is A
Step-by-step explanation:
I got it right on the test Edge 2022.
resolve into factors:- 49m² + 154m + 121
Answer:
4m^2 +154m +12149m^2 +( 77+77)m +121
49m^2 + 77m +77m +121
7m (7m +11) +11 (7m +11)
(7m+11) (7m+11)
hope it was helpful
Answer:
[tex](7m + 11 {)}^{2} [/tex]
Step-by-step explanation:
[tex]49 {m}^{2} + 154m + 121[/tex]
➡️ [tex] {7}^{2} {m}^{2} + 2 \times 7m \times 11 + {11}^{2} [/tex]
➡️ [tex](7 m{)}^{2} + 2 \times 7m \times 11 + {11}^{2} [/tex]
➡️ [tex] = (7m + 11 {)}^{2} [/tex] ✅
what is the shaded region known as
The shaded region of a circle formed by one line as shown in the image is called a segment.
Answer: segment
Gary rents three DVDs each week at Fantastik Flicks. Write an algebraic expression for Wn, the total number of points earned in the nth week
For the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]
Your question is not complete, it seems it is missing the following information below;
DVD rentals: 1 2 3
Total DVD points: 3 5 7
The number of points earned is a function of number of DVD rentals.
For the first DVD, the number of points earned;
[tex]n_1 = p_1 + c\\\\where;\\c \ is \ the \ constant \ point \ earned[/tex]
3 = 1 + c
3- 1 = c
2 = c
For nth week the total point earned is given as;
[tex]n_t_h = p_n + c\\\\n_t_h = p_n + 2[/tex]
Thus, for the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]
Learn more here: https://brainly.com/question/18077111
Here we have a problem with arithmetic sequences.
After a small online search, I've found that:
Fantastik Flicks gives: 3 points for the first rental, 5 points for the second rental, 7 points for the third rental
And so on.
We will find that the total of points in the n-th week is given by:
Wₙ = 15 + (n - 1)*18
Looking at the number of points given for each rental, we can see that we have an arithmetic sequence with an increase of 2, 3, 5, 7, 9, 11, 13, 15,...
We want to find the total of points earned in each week. For example, for the first week the total of points is: W₁ = (3 + 5 + 7) = 15
For the second week, the total of points is: W₂ = (9 + 11 + 13) = 33
For the third week, the total number of points is: W₃ = (15 + 17 + 19) = 51
Now let's see if Wₙ also is arithmetic. To see this, we need to look at the difference between consecutive elements of Wₙ.
W₂ - W₁ = 33 - 15 = 18
W₃ - W₂ = 51 - 33 = 18
So in both cases we got the same difference, this makes a lot of sense, taking in account that we construct the Wₙ with an arithmetic sequence, so is logical that the sequence {Wₙ} is also arithmetical.
Now that we know this, we can see that in the n-th week, the total of points will be: Wₙ = W₁ + (n - 1)*18Wₙ = 15 + (n - 1)*18
If you want to learn more, you can read:
https://brainly.com/question/19007362
PLEASE HELP
To find the area of a triangle, use the formula on, where bis the base
and h is the height. What is the area in square inches of a triangle with
a height of 6 inches and base of 8 inches.
Answer:
A=24
Step-by-step explanation:
Triangle Area formula: h*b
h: 6
b: 8
6*8=24
1. I can wash a car in 20 minutes. How long will it take me to wash 20 cars?
2. I can type 4 words per minute. How long will it take me to write a 500 word essay?
