How many $10$-digit numbers are there, such that the sum of the digits is divisible by $2$?

Answers

Answer 1

Complete question is;

How many 10 - digit numbers are there, such that the sum of the digits is divisible by 2?

Answer:

There are 4500000000 ten digit numbers whose sum is divisible by 2.

Step-by-step explanation:

Since we are dealing with 10 digit numbers, the first 10 digit number whose sum is divisible by 2 is; 1000000001.

While the last 10 digit number whose sum is divisible by 2 is 9999999999.

Now,to find how many 10 digit numbers whose sum are divisible by 2, we will simply divide the difference of both numbers by 2 and then add 1 to the answer. This is because subtracting the minimum from the maximum gives us the number of 10 digit numbers we have. Then dividing by 2 gives the number of ten digit numbers with sum divisible by 2 in between. Then adding 1 to the result to cover the number not included gives;

((9999999999 - 1000000001)/2) + 1 = 4500000000


Related Questions

Tiana has already cycled 17 kilometers this year, plus she plans to cycle 3 kilometers during
each trip to work. How many trips will Tiana have to make to cycle a total of 44 kilometers?

Answers

Answer( 9 trips )

Step-by-step explanation:

44-17=27

27/3=9

basically you take away 17 kilometers she has already cycled from 44 then divide by 3 because each trip is 3 kilometers which equals 9 trips left.

hope this helped :)

Answer:

9 trips

Step-by-step explanation:

44 minus 17 equals 27

Tiana cycles 3 kilometers every trip to work so to travel 27 more kilometers she will need 9 trips

You use it to form general ideas and rules based on your experiences and ______.

Answers

observations hmm...

1. Three people board the subway train at the first stop. Five people board the train at
the second stop. Seven people board the train at the third stop. If this pattern
continues and no one gets off the train, how many people are on the subway train when
it reaches the seventh and final stop?

Answers

Answer:

48 people.

Step-by-step explanation:

The sequence is  3 5 7 ...

The common difference is 2 so by the 7th stop 6 lots of people have boarded and the total is:

3 + 5 + 7 + 9 + 11 + 13 = 48 people.

=

solve for n.........

Answers

Answer:

[tex]n=\frac{-360}{A-180}[/tex]

Step-by-step explanation:

Step 1: Write out equation

[tex]A=\frac{180(n-2)}{n}[/tex]

Step 2: Multiply both sides by n

[tex]An=180(n-2)[/tex]

Step 3: Distribute

[tex]An=180n-360[/tex]

Step 4: Subtract 180n on both sides

[tex]An-180n=-360[/tex]

Step 5: Factor out n

[tex]n(A-180)=-360[/tex]

Step 6: Divide both sides by (A - 180)

[tex]n=\frac{-360}{A-180}[/tex]

is 8.3 greater than 83 tenths?

Answers

Answer:

NO

Step-by-step explanation:

They are equal

83 tenths divided by 10 is 8.3

Hope this helps :-)

How many atoms are contained in 1cm of
interstellar space?

Answers

Answer:

0.1 atoms

Step-by-step explanation:

Typically, there is 0.1 atoms in each cubic centimeter of interstellar wind, and 10 ions in each cubic centimeter of solar wind (versus surface air which contains 3 x 10^19 molecules per cc). This means there is a great deal of dead space between the very tiny particles and collisions are rare.

Answer-1 billion

Step-by-step explanation:

Eva already has 5 plants in her backyard, and she can also grow 1 plant with every seed
packet she uses. How many seed packets does Eva need to have a total of 45 plants in her
backyard?

Answers

Eva has 5 plants,
and she needs to have 45 plants

So she needs 40 more plants,
It is derived by 45 - 5 = 40

Since 1 seed packet = 1 plant,
So 40 seed packers are needed

Emma drew 2 hearts and 37 circles. What is the ratio of circles to all shapes?

Answers

Answer:

37:39

Step-by-step explanation:

You write the amount of circles then add 37 to 2 and make a ratio table.

Answer: 37:39

Step-by-step explanation: there are 37 circles and there are 39 shapes in all (37 circles plus the two hearts)

Evaluate f + g2 - 3g if f= 3 and g = 5.

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{13}}}}}[/tex]

Step-by-step explanation:

Given, f = 3 and g = 5

[tex] \sf{f + {g}^{2} - 3g}[/tex]

Plug the values

⇒[tex] \sf{3 + {5}^{2} - 3 \times 5}[/tex]

Evaluate the power

⇒[tex] \sf{3 + 25 - 3 \times 5}[/tex]

Multiply the numbers : 3 and 5

⇒[tex] \sf{3 + 25 - 15}[/tex]

Add the numbers : 3 and 25

⇒[tex] \sf{28 - 15}[/tex]

Subtract 15 from 28

⇒[tex] \sf{13}[/tex]

Hope I helped!

Best regards! :D

Given the points A(-1, 2) and B(7, 14), find the coordinates of the point P on directed line segment stack A B with bar on top that partitions stack A B with bar on top in the ratio 1:3. Show your work.

Answers

Answer:

  (1, 5)

Step-by-step explanation:

The desired point is the weighted average of the end point coordinates. The weights are the reverse of the relative line segment lengths.

  P = (3A +1B)(3+1) = (3(-1, 2) +(7, 14))/4 = (-3+7, 6+14)/4 = (1, 5)

The point of interest is (1, 5).

For Elizabeth’s lemonade recipe, 4 lemons are required to make 2 cups of lemonade. At what rate are lemons used in cups of lemonade per lemon?

Answers

Answer:

1/2 cup of lemonade per lemon

Step-by-step explanation:

2 cups of lemonade use 4 lemons

(2 cups of lemonade)/(4 lemons) =

= 2/4 cup of lemonade per lemon

= 1/2 cup of lemonade per lemon

If a cylinder has a height of 19 cm and a diameter of 60 cms calculate how much liquid this cylinder can hold

Answers

Answer:

53721.23

Step-by-step explanation:

V=πr^2h

v = 3.14(30)^2(19)

v = 53721.23

Answer:

a cylinder can hold a liquid of  53,721 cm³

Step-by-step explanation:

volume  of a cylinder = π r² h

vol = π * (60/2)² * 19

vol = 53,721 cm³

geometry points lines and planes
A) How many points appear in the figure?
B) How many lines appear in the figure?
C)How many planes appear in the figure?
D) Name three collinear points
E) Name four non-coplanar points
F)Give another name for line e
G) Name the intersection of PQ AND MO
H) Name the intersection of Plane K and line c
I) Give another name for plane L
I) Give another name for PQ

Answers

Answer:

A.) 9 points

B.) 3 lines

C.) 2 planes

D.) P, N, G / M, N, O / R, N, S

E.) U, T, O, S  / There are multiple ways but that will take a while sorry. :)

F.) M, N, O

G.) N

H.) S

I.) I don't know sorry

J.) Line D

Hope this Helps! :)

In geometry, lines, planes and points are very important for description purpose. The answers to the given questions can be stated as follows:

A. 9 points (Points - M, N, O, P, Q, R, S, T, U)

B. 3 lines (Lines - MO, PQ, RS)

C. 2 planes (Planes - K and L)

D. (P, N, Q) , (M, N, O), (R, N, S)

E. (M, P, S, T)

F. M, O

G. N

H. S

I. Horizontal plane

J. Line D

Geometry is an aspect that deals with lines, planes and points. A line is a straight path that connects two points, while a plane is a flat surface which could either be a horizontal or vertical.

To solve the given questions, it is important to understand the given figure and interpret each question with respect to the terminologies in it. Example: Collinear points are points which are connected by a straight line, while non-collinear points are points that can not be linked by a straight line.

Therefore, the answers to the questions are as follows:

A. 9 points (Points - M, N, O, P, Q, R, S, T, U)

B. 3 lines (Lines - MO, PQ, RS)

C. 2 planes (Planes - K and L)

D. (P, N, Q) , (M, N, O), (R, N, S)

E. (M, P, S, T)

F. M, O

G. N

H. S

I. Horizontal plane

J. Line D

Reference: https://brainly.com/question/17721067

Solve for x:
2 + 10 ≥ 24 or 1 − 4 < 4

Answers

Answer:

There is no x in the question

k squared - 13k+36
[tex]18n + 20n - 378[/tex]

Answers

Answer:

k^2-13+36

38n-378

Step-by-step explanation:

k^2-13k+36

k^2-13+36

The above expression can't be simplified further because they are not like terms.

18n+20n-378

38n-378

Hope this helped ;) ❤❤❤

4. If mZRST = (12x - 1)º, mZRSU = (9x - 15),
and mZUST = 53°, find each measure.
x=
mZRST =
mZRSU =

Answers

Answer:

mZRST = 155°, mZRSU  = 102°

Step-by-step explanation:

Given that mZRST = (12x - 1)º, mZRSU = (9x - 15),  and mZUST = 53°.

We know that mZRSU + mZUST = mZRST (since S is a common point)

So, (9x - 15)º + 53° = (12x - 1)º

Expanding the brackets we have

9x - 15 + 53 = 12x - 1

collecting like terms, we have

53 - 15 + 1 = 12x - 9x

54 - 15 = 3x

39 = 3x

Dividing through by 3, we have

x = 39/3

x = 13°

So, mZRST = (12x - 1)º

= 12(13) - 1

= 156 - 1

= 155°

So, mZRST = 155°

mZRSU = (9x - 15),  

= 9(13) - 15

= 117 - 15

= 102°

So, mZRSU = 102°

Please explain with working!!! Find the set of values of x that satisfy the inequality 9x^2-15x<6

Answers

Answer:

[tex]\displaystyle -\frac{1}{3} < x < 2[/tex]

Step-by-step explanation:

We want to solve the quadratic inequality:

[tex]9x^2-15x<6[/tex]

In order to solve a quadratic inequality, find its zeros. That is, let the inequality sign be an equal sign and solve for x. We do this because it denotes when the graph crosses the x-axis: that is, when it is positive and/or negative. This yields:

[tex]9x^2-15x=6[/tex]

Solve for x:

[tex]\displaystyle \begin{aligned} 9x^2-15x-6 &= 0\\ 3x^2 - 15 -6 &= 0 \\ (3x+1)(x-2) &= 0\end{aligned}[/tex]

By the Zero Product Property:

[tex]\displaystyle 3x + 1 = 0 \text{ or } x - 2 = 0[/tex]

Hence:

[tex]\displaystyle x = -\frac{1}{3}\text{ or } x = 2[/tex]

Now, we can test intervals. The three intervals are: all values less than -1/3, values between -1/3 and 2, and all values greater than 2.

To test the first interval, let x = -1. Substitute this into our original inequality:

[tex]\displaystyle \begin{aligned}9(-1)^2 -15(-1) \, &?\, 6 \\ 9+15 \, &? \, 6 \\ 24&> 6 \xmark \end{aligned}[/tex]

The resulting symbol is "greater than," which is not our desired symbol.

To test the interval between -1/3 and 2, we can let x = 0:

[tex]\displaystyle \begin{aligned} 9(0)^2 - 15(0) \, &? \, 6 \\ (0) - (0) \, &? \, 6 \\ 0 &< 6\, \checkmark\end{aligned}[/tex]

The resulting symbol is indeed less than. So, the interval (-1/3, 2) is a part of our solution.

Finally, to test the third interval, let x = 3. Then:

[tex]\displaystyle \begin{aligned} 9(3)^2 - 15(3) \, &? \, 6 \\ (81) - (45) \, &? \, 6 \\ 36 &> 6\end{aligned}[/tex]

Again, this is not our desired symbol.

In conclusion, our only solution is the interval:

[tex]\displaystyle \left(-\frac{1}{3}, 2\right)[/tex]

Or as an inequality:

[tex]\displaystyle -\frac{1}{3} < x < 2[/tex]

Convert the following to standard notation.
1.5 x 10

Answers

Answer:

15

Step-by-step explanation:

1.5*10 =15

Answer:

15.

Step-by-step explanation:

1.5 x 10 is expanded notation, so you just solve it (by multiplying) to convert it into standard notation.

12. What value of c would make x = 4 in the
equation 5 + cx = 13 ?

Answers

Plug in 4 for x and solve equation like so. c=2

-2|5x-1|-3=11 and -2|5x-1|-3=-11

Answers

Answer : The values of x are [tex]\frac{-3}{5}[/tex] and 1.

Step-by-step explanation :

The given equation is:

[tex]-2|5x-1|-3=-11[/tex]

The term -3 is moved or added to the right hand side.

[tex]-2|5x-1|=-11+3[/tex]

[tex]-2|5x-1|=-8[/tex]

The term -2 is divided to the right hand side.

[tex]|5x-1|=\frac{-8}{-2}[/tex]

[tex]|5x-1|=4[/tex]

Clear the absolute-value bars by splitting the equation into two cases. One for the positive case and the other for the negative case.

Negative case : [tex]-(5x-1)=4[/tex]

Positive case : [tex](5x-1)=4[/tex]

Now solve both the cases.

Negative case : [tex]-(5x-1)=4[/tex]

[tex]-5x+1=4[/tex]

[tex]-5x=4-1[/tex]

[tex]-5x=3[/tex]

[tex]x=\frac{-3}{5}[/tex]

and,

Positive case : [tex](5x-1)=4[/tex]

[tex]5x=4+1[/tex]

[tex]5x=5[/tex]

[tex]x=1[/tex]

Therefore, the values of x are [tex]\frac{-3}{5}[/tex] and 1.

A telemarketer earns a base salary of $3,000 per month, plus an annual bonus of 2.5% of total sales above $250,000. Which function represents the annual salary for total sales of x dollars, where x is greater than $250,000? A) S(x) = 3,000 + 0.025(x – 250,000) B) S(x) = 3,000 + 2.5(x – 250,000) C) S(x) = 12(3,000) + 0.025(x – 250,000) D) S(x) = 12(3,000) + 2.5(x – 250,000)

Answers

Answer:

answer is c.

I got it right on edge

Function  S(x) = 12(3,000) + 0.025x (x ≥ 250,000) represents the annual salary for total sales of x dollars, where x is greater than $250,000. Option C is correct.

Given that,
A telemarketer earns a base salary of $3,000 per month, plus an annual bonus of 2.5% of total sales above $250,000.
To determine which function represents the annual salary for total sales of x dollars, where x is greater than $250,000.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
According to the question,
annual salary be S
S(x) = annual base salary + annual bonus earned
S(x) = 12 * 3000 + 0.025x (where x is > $250,000)

Thus, function  S(x) = 12(3,000) + 0.025x (x ≥ 250,000) represents the annual salary for total sales of x dollars, where x is greater than $250,000. Option C is correct.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

Using the graph provided, find f(x)=2

Answers

Answer:

so x=3

Step-by-step explanation:

f(x) = 2

We want to find the x value when y =2

Going across where y = 2

Then go down to find the x value x=3 when y = 2

f(3) =2

so x=3

HELP PLZ WILL GIVE BRAINLIEST

Answers

Answer:

x = 31 °

Step-by-step explanation:

90 = 58 + x

x = 90 - 58

x = 31 °

Answer:

x° = 32°

Step-by-step explanation:

∠BAC = ∠IAK = 58° (Vertically opposite angles)

∠GCJ = ∠ACB = x° (Vertically opposite angles)

Angles of a Δ ABC = 180°

Δ ABC = 90° + 58° + x° = 180°

⇒x° = 180° - 90° - 58 °

x° = 32°

Emma wants to know how much her dog weighs. She held her dog and stepped on the scale. Their combined weight is 118.6 pounds. Emma weighs 85.4 pounds, so how many pounds does her dog weigh?

Answers

Answer:

33.2

Step-by-step explanation:

Identify the domain intervals over which the inverse of the graphed function is also a function. Select all that apply.​

Answers

Answer:

A, B and D

Step-by-step explanation:

There are two inverse linear functions graphed. One of the is decreasing up to x = 3 excluded, the other one is increasing from the point x = 3 included.

Domain range of the decreasing one is:

( - oo, 3 )

Domain range of the increasing one is:

[ 3, +oo )

Correct choices are: A, B and D

Note: A and B are same

If he pays $46.80 for one year. He receives one magazine each month for 12 months. Find the dollars he pays for each
magazine

Answers

Answer:

Each magazine costs 3.90

Step-by-step explanation:

Take the total cost and divide by the number of magazines

46.80/12

3.90

Answer:

3.90$ per magazine is paid

HCF of 15 and 60
in full form

Answers

Answer: 15

Step-by-step explanation: Easy way to do it is of you just list all the factors and find the highest common factor, 15= 1,3,5,15. 60= 1,2,3,4,5,6,10,12,15,30,60.

The common factors here are 3 and 15 the highest common factor is 15.

Now another method is to draw the division diagrams which are shown in the image below...

Answer:

Step-by-step explanation:

HCF of two or more numbers is the largest number that divides the number without leaving remainder.

Prime factorize 15 and 60

15 = 3 * 5

60 = 2 * 2 * 3 * 5

HCF = 3 * 5 = 15

question is givenin the photo given above​

Answers

Step-by-step explanation:

In order to meet at point F, line DF must travel from the top line to the bottom line. If it crosses through E, the midway, that means that it is halfway to the bottom line. This means the distance D E is equal to E F, because both are the distance from midpoint E to one of the sides (top or bottom).

If D E and E F are equal length, then AB and BF must be the length as well, as it is the length DF line takes to get halfway down from the top. Since they are the same length, A F must be twice the length of AB.

Hope this helped!

Deanna is investigating transformations that carry a regular polygon onto itself. She claims that for a regular polygon of k sides, the minimum angle of rotation about its center that carries it onto itself is equal to the measure of each interior angle of the polygon. For what value of k would Deanna's claim be true?

Answers

Answer:

The value of k that would make Deanna's claim to be true is k = 4

Step-by-step explanation:

The given transformation that Deanna has a claim for = Rotation

Deanna's claim. the minimum rotation of a polygon about its center that carries the polygon onto itself = The interior angle of the polygon

We note that the rotation of a regular polygon about its center that carries the polygon onto itself = The exterior angle of the polygon

Therefore, given that for a polygon with more than 5 sides, the exterior angle of the polygon < The interior angle of the polygon, Deana statement can be said to be true for the case of a square

Here;

The exterior angle of the polygon = The interior angle of the polygon 90

The value of k which is the number of sides of the polygon, for a square = 4

Therefore, the value of k that would make Deanna's claim to be true is k = 4.

90 POINTS PLEASE HELP Choose one problem below and use trigonometry to solve for the missing side x of the right triangle

Answers

Answer:

x = 13.28

Step-by-step explanation:

basic trig ratios: using tanФ = opp/adj.

tan(38) = x / 17

x = tan(38) * 17

x = 13.28

to get more idea of the subject, read below:

The cotangent (cot)

The cotangent is the reciprocal of the tangent. It is the ratio of the adjacent side to the opposite side in a right triangle.

tan(A) = opp/adj = a/b

cot(A) =adj/opp = b/c

Answer:

[tex]\Huge \boxed{x \approx 13.28}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trig functions to solve for the problem.

[tex]\sf \displaystyle tan (\theta)=\frac{opposite}{adjacent}[/tex]

[tex]\sf \displaystyle tan (38)=\frac{x}{17}[/tex]

Multiplying both sides by 17.

[tex]\sf \displaystyle 17 \cdot tan (38)=\frac{x}{17} \cdot 17[/tex]

[tex]\sf x= 13.28185565...[/tex]

The measure of x is approximately 13.28.

[tex]\rule[225]{225}{2}[/tex]

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