The number 55 is multiplied by a 55 digit number that contains only ones. What is the sum of the digits of the product

Answers

Answer 1

Answer:

[tex]Sum = 64[/tex]

Step-by-step explanation:

Given

[tex]n = 55[/tex]

[tex]x \to 55\ digit[/tex] 1's

Required

The sum of the [tex]digits[/tex] of the [tex]product[/tex]

To do this, we start with smaller numbers

[tex]55*11 = 605[/tex]  ---- 2 digits

[tex]55*111 = 6105[/tex] --- 3 digits

[tex]55*1111 = 61105[/tex] -- 4 digits

[tex]55*11111 = 611105[/tex] -- 5 digits

[tex]55*111111 = 6111105[/tex] --- 6 digits

Notice that as the 1's increase on the left-hand side, the 1's increase on the right-hand side

The difference between the count of both 1's is 2 1's

So, for n digits, we have: 6[n - 2, 1's]05

So, the sum is:

[tex]Sum = 6 + (n - 2) + 0 + 5[/tex]

For 55 digit, [tex]n = 55\\[/tex]

So, we have:

[tex]Sum = 6 + (55 - 2) + 0 + 5[/tex]

[tex]Sum = 6 + 53 + 0 + 5[/tex]

[tex]Sum = 64[/tex]


Related Questions

HELPP!! this is due in like 30 minutes and i have to get this done! someone pls help

Answers

9x + 18 = 6(x + 3) + 3x = 3(3x + 6)

3x + 15 = 3(2x + 5) - 3x = x + 2x + 15

which shape has a parallel side choose all the answers

Answers

Answer:

Step-by-step explanation:

it looks like the green four sided one,  has two,   the top and bottom ones, then also the blue four sided one ,  maybe the opposite sides are parallel to each other.  :)  

Sin0=20/29 find tan 0

Answers

Answer:

Step-by-step explanation:

here opposite =20, hypotenuse=29

to find adjacent use formula

a^2+b^2=c^2

20^2+b^2=29^2

400+b^2=841

b^2=841-400

b=[tex]\sqrt{441\\}[/tex]

b=21

tan theta=opposite/adjacent

=20/21

therefore tan theta =20/21

Answer:

D. tanθ = 20/21

Step-by-step explanation:

Remember that sinθ = opposite/hypotenuse. In this case, since sinθ = 20/29, we are going to say that opposite = 20 and hypotenuse = 29.

To solve for the adjacent side, use the Pythagorean theorem, a^2 + b^2 = c^2.

When you plug in your values and solve for the other leg, you'll get 21.

Now that we know that the adjacent side/other leg is equal to 21, we can find tanθ, since it's equal to opposite/adjacent.

Opposite = 20

Adjacent = 21

tanθ = 20/21

Find lawn area in m^2

Answers

Answer:

area of lawn = 15.708 square meters

Step-by-step explanation:

pi 3 squared (area of lawn and flower bed) - pi 2 squared (area of flower bed)= area of lawn


Can someone explain how to do this?

Answers

Answer:

so what you would do is take length time width or 25*25 to find area

Step-by-step explanation:

You need to multiply 25 times 25

Explanation if all four sides are 25 multiplying them is how you get your answer

Natasha and Richard are marking exam papers. Each set takes Natasha 45 minutes and
Richard 1 hour. Express the times Natasha and Richard take as a ratio.
Give your answer in its simplest form.​

Answers

Answer:

4:3 Natasha is 3 and Richard is 4.

Step-by-step explanation:

60/45=4/3

In a pack of pretzel sticks, one-quarter of the total number of pretzel sticks is 14.
how many are in the bag

Answers

Answer:

6 lol have  a good day

Answer:

I got 56.

Step-by-step explanation:

Well if 1/4 of the bag is 14, then multiply it by 4. Sorry if this is wrong!

is greater than or equal to, minus, 5.

Answers

Answer:

x≥-5

Step-by-step explanation:

x

Which equation models this situation? 26 more than a number is 37.​

Answers

Answer:

x+26=37

Step-by-step explanation:

find the slope between (-3,2) and (-7,-16)

Answers

Answer: The slope between these two is 3.5

Answer:

Solpe=4.5

Step-by-step explanation:

Sorry if I’m wrong, but I think I got it.

So the formula for slope is    y2-y1/x2-x1  

In (-3,-2) )-7,-16),  -3 is x1, -2 is y1, -7 is x2, and -16 is y2.

Now, you need to fill in the formula with these numbers.

-16-2/-7- - 3

-16-2 is -18

-7- - 3 is -4 (two negatives make a positive)

This makes -18/-4. Divide this to get 4.5.

Let me know if you have any questions!! :)

                                       

                                 

Select all expressions equivalent to 8x - 24.
2(2x - 12)
4(2x - 4)
8(x - 3)
2(4x - 12)

Answers

Answer:

8(x-3)

2(4x-24)

Step-by-step explanation:

You are using the distributive property. Multiply the number outside of the parentheses by each number within the parentheses.

In 8(x-3) = 8x - (8×3) = 8x-24

In 2(4x-12) = (2 × 4x) - (2 × 12) = 8x-24

8(x-3) and 2(4x-12).

Drag each tile to the correct box.
Arrange the matrices in increasing order of their determinant values.

Answers

Answer:

Order of the Matrix will be

[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]  

[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]  

[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]

Step-by-step explanation:

Given - The matrices are -

[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]

To find - Arrange the matrices in increasing order of their determinant values.

Proof -

Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex] is

= (2)(4) - (6)(3)

= 8 - 18

= -10

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]  = -10

Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] is

= (-2)(9) - (-7)(5)

= -18 + 35

= 17

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] = 17

Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex] is

= (6)(-8) - (6)(5)

= -48 - 30

= -78

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]  = -78

Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] is

= (2)(-5) - (4)(5)

= -10 - 20

= -30

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] = -30

Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] is

= (2)(4) - (5)(-2)

= 8 + 10

= 18

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] = 18

Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex] is

= (4)(2) - (-3)(5)

= 8 + 15

= 23

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]  = 23

Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex] is

= (3)(6) - (2)(4)

= 18 - 8

= 10

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]  = 10

Now,

Increasing order of Determinant is -

-78 < -30 < -10 < 10 < 17 < 18 < 23

So,

Order of the Matrix will be

[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]  

[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]  

[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]

Answer:

Correct on Edmentum

Step-by-step explanation:

NEED HELP ASAP PLEASE WILL GIVE BRAINLYEST

Answers

Answer:

a) 1/2

b) 6/100

c)1/4

I'll explain how I got these answers later.

Answer:

Step-by-step explanation:

Total highlighters = 10

A : favourable cases / total cases  = 5/10 = 1/2

B : favourable cases/ total cases * favourable cases/ new total cases

2/10 * 3/9 = 1/5 * 1/3 = 1/15

C : favourable cases/ total cases * favourable cases/ new total cases

5/10 * 4/9 = 1/2 * 4/9 = 4/18

Sues dad fixed her play table each of the 4 legs took 2 nails how many nails did he use

Answers

Answer:

8 nails

Step-by-step explanation:

because 4x2=8

hello please help i’ll give brainliest

Answers

Answer:

Step-by-step explanation:

A i think

I think that the answer is the first one

Jim was thinking of a number. Jim doubles it, then adds 19 to get an answer of 70.1. What was the original number?

Answers

Answer:

25.55

Step-by-step explanation:

Let us take the number he thinked of be x .

On doubling it :-

→ N = 2x

On adding 19 :-

→ N = 2x + 19

According to Question :-

→ 2x + 19 = 70.1

→ 2x = 70.1 - 19

→ 2x = 51.1

→ x = 51.1/2

x = 25.55

Hence the required answer is 25.55

Sally can run 5 km in 25 minutes. At the same rat of speed, how far can she run in 2 hours and five minutes?

Answers

Answer:

25 km

Step-by-step explanation:

[tex]\frac{5}{25} :\frac{y}{125}[/tex]

y · 25 = 5 · 125

25y = 625

25y ÷ 25 = 625 ÷ 25

y = 25

Find the value of RT

Answers

Answer:

[tex]RT=7[/tex]

Step-by-step explanation:

[tex]RQ*RP=RS*RT[/tex]

[tex]9*(9+13)=11(11+x)[/tex][tex]9*\frac{22^2}{11} =\frac{11}{11} =(11+x)[/tex][tex]18=11+x[/tex] ⇒ [tex]7[/tex]

✄┈┈┈┈┈┈┈┈┈«

┍━━━━ ⋆⋅☆⋅⋆ ━━━━┑

         hope it helps..

        have a great day!!

┕━━━━ ⋆⋅☆⋅⋆ ━━━━┙

HI PLEASE ANSWER THIS QUESTION FOR ME IM GIVING OUT BRAINLIEST AND 20+ POINTS !! D:

Answers

Answer:

12

Step-by-step explanation:

Round 5,060 to the nearest tenth

Answers

Answer:

5060.0

Step-by-step explanation:

hope this helps with the work

Answer: 5,060
it is already rounded to the nearest tenth! hope that helped :)))

subtracting 9 From A Certain number gives 13 what is the number​

Answers

Answer:

22

Step-by-step explanation:

N-9=13

N-9+9=13+9

N=22

Answer:

the answer for the question is 22

Step-by-step explanation:

as I said,a certain number =x

therefore,x-9=13

x=13+9

x=22

Little help, please thank you

Answers

Answer:

Finding volume:

2^2 = 4

4 x 3.14 = 12.56

12.56  x 8(height) = 100.48

100.48 divided by 3 ( x 1/3 ) =  around 33.49 in3 is your answer.

If the options dont give you 33.49 just go by 33.51 cubic meters.

Sami leave his house at 3:45 PM and walks to karlas house in 15 minutes he stays at karlas house for five minutes and then walks to the library in 10 minutes when does Sami arrive at the library

Answers

Sami arrives at the library at 4:15. Why? Well is says she took 15 minutes to walk to karlas house so when she arrives it’s 4:00 PM. Than, she stays at karlas house for 5 minutes which puts her at 4:05 PM. After that is Sami took 10 minutes to get to the library so that puts Sami at 4:15 PM. Hope this helps!

How many 2/3 of a foot are in 18,491 feet? pls help!!!!!!!!

Answers

Answer:

i round my answer so its 4 but if it wrong its 3

Step-by-step explanation:

Please help and show work!

Answers

Answer:

x = 3

Step-by-step explanation:

Two triangles are similar

x/(x+3) = 4/8 cross multiply expressions

8x = 4x + 12

8x - 4x = 12

4x = 12 divide both sides by 4

x = 3

PLEASE HELP

4 cans of orange juice and 7 cans of apple juice are in a sports bags what is the probability of drawing out one can of apple juice without looking? write your answer as a decimal rounded to two decimal places.​

Answers

Answer:

1.36

total cans =11

the prob. of drawing orange juice can= 4/11

the prob of drawing apple juice can= 7/11

the prob of drawing any of the juice= 4/11 + 7/11

= 15/11

= 1.36

Henry wants to buy a coat that has an original price of $125. During an upcoming sale, the price of the coat will be reduced by 4% each week. Henry plans to wait until the price of the costess than 100 and
uses this inequality to determine w, the number of weeks that he needs to wait to buy the coat
125(0.96)" < 100
How many weeks must Henry wait for the price of the coat to first fall below $100?
AO6
BO5
c.03
DO7

Answers

ANSWER: Here is the link where I answered this question

https://brainly.com/question/23634590?answering=true&answeringSource=feedPublic%2FhomePage%2F1

Write the following number in scientific notation 0.00000407​

Answers

you need to move the decimal so it will be 4.07

Answer:

4.07

Step-by-step explanation:

I am genius

List a pair of corresponding angles

Answers

Answer:

2 and 6, 1 and 5, 3 and 7, 4 and 8

Step-by-step explanation:

Any one of those would work

Answer: <1 and <5

Step-by-step explanation:

For the data that are shown on the graph below, which best describes within which range of x-values extrapolation occurs? On a graph, points are at (0, 15), (1, 17), (3, 18), (4, 20) and (6, 22). x greater-than 6 x less-than 0 and x greater-than 6 x less-than 0 and x greater-than 10 x greater-than-or-equal-to 0 and x less-than-or-equal-to 6 Mark this and return

Answers

Given:

On a graph, points are at (0, 15), (1, 17), (3, 18), (4, 20) and (6, 22).

To find:

The range of x-values extrapolation occurs.

Solution:

Consider the below figure attached with this question.

From the graph or given points it is clear that the x-values are 0, 1, 3, 4, 6.

It means the x-values are from 0 to 6.

So, the range of the x-values is [tex]x\geq 0[/tex] or [tex]x\leq 6[/tex].

The required compound inequality for the range of x-values is [tex]0\leq x\leq 6[/tex].

Therefore, the correct option is D.

Answer:

The answer is B

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