How many palindromes between 1000 and 9999 inclusive are divisible by 9?

Answers

Answer 1

Palindromes are numbers that remain the same, when reversed.

There are 10 palindromes divisible by 9 between 1000 and 9999

To do this, we list the numbers divisible by 9 between 10 and 99.

The numbers are:

[tex]\mathbf{A = 09,\ 18,\ 27,\ 36,\ 45.\ 54,\ 63,\ 72,\ 81,\ 90,\ 99}[/tex]

Flip these numbers

[tex]\mathbf{B =90,\ 81,\ 72,\ 63,\ 54.\ 45,\ 36,\ 27,\ 18,\ 09,\ 99}[/tex]

Combine corresponding numbers

[tex]\mathbf{AB =0990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

Rewrite as:

[tex]\mathbf{AB =990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

990 is less than 1000.

So, we have:

[tex]\mathbf{AB =1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

Count the numbers

[tex]\mathbf{n(AB) =10}[/tex]

Hence, there are 10 palindromes divisible by 9 between 1000 and 9999

Read more about palindromes at:

https://brainly.com/question/14076732


Related Questions

geomtry plzz help 15 points

Answers

Answer:

[tex]23<d<7[/tex]

Step-by-step explanation:

To solve this we have to find the number greater than [tex]d[/tex] and less than

the way we find these is by adding the larger number with the smaller number and subtracting the larger number with the smaller number

[tex]15+8=23\\15-8=7\\[/tex]

Our answer is [tex]23<d<7[/tex]

brainliest please

Please help me ASAP

Answers

Answer:

A: 9.5s+19.95 is less than or equal to 55

Step-by-step explanation:

She has no more than 55 dollars to spend so it cant be greater than but it can be equal to 55 so the answer is the first option

La probabilidad de que julio salga con carla es 0.75 , y la probabilidad de que salga con marisol es de 0.50. Si la probabilidad de que salga con carla o marisol es 0.85; calcular la probabilidad de que salga con ambas a la vez

Answers

La probabilidad de que Julio salga con Marisol y Carla al mismo tiempo es 0.40

What is the addition rule of probability for two events?

For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Given that;

The probability that Julio goes out with Carla is 0.75, and

the probability that he goes out with Marisol is 0.50.

The probability that he goes out with Carla or Marisol is 0.85

To find:

The probability that he will date both at the same time.

Let we take:

A = event that Julio goes with Carla

B = event that Julio goes with Marisol, then, the given expression is symbolically represented as:

[tex]P(A) = 0.75\\[/tex][tex]P(B) = 0.50[/tex][tex]P(A \cup B) = 0.85[/tex]

To find: [tex]P(A \cap B)\\[/tex]

Using the addition rule, we get:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)\\0.85 = 0.75 + 0.50 - P(A \cap B)\\P(A \cap B) = 1.25 - 0.85 = 0.40[/tex]

Thus, the probability that Julio will date Marisol and Carla at the same time is 0.40

Learn more about probability here:

brainly.com/question/1210781

The probability that Julio will date Marisol and Carla at the same time is 0.40.

Here, we have, For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Given that;

The probability that Julio goes out with Carla is 0.75, and

the probability that he goes out with Marisol is 0.50.

The probability that he goes out with Carla or Marisol is 0.85

To find:

The probability that he will date both at the same time.

Let we take:

A = event that Julio goes with Carla

B = event that Julio goes with Marisol, then, the given expression is symbolically represented as:

P(A) = 0.75

P(B) = 0.50

P(A∪B)= 0.85

To find: P(A ∩ B)

Using the addition rule, we get:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

0.85 = 0.75 + 0.50 - P(A ∩ B)

P(A ∩ B) = 0.40

Thus, the probability that Julio will date Marisol and Carla at the same time is 0.40.

Learn more about probability here:

brainly.com/question/1210781

#SPJ3

complete question:

The probability that Julio dates Carla is 0.75, and the probability that he dates Marisol is 0.50. If the probability that he goes out with carla or marisol is 0.85; Calculate the probability that he will date both at the same time.

The sum of 13 and 3 times a number is 31. What is the number?

Answers

Answer:

6

Step-by-step explanation:

yeah-ya ............... right?

Answer: 6

Step-by-step explanation:

13 + 3 × n = 31

n represents unknown number

13 + 3n = 31

-13           -13

3n = 18

/3      /3

n=6

Find two solutions of y=2x-3
Point 1: (x,y) --->
Point 2: (x,y) --->

Answers

The slope of the line is 2/1 and the y-intercept is (0,-3). Using that information, we can figure out two points on the line.

Point 1: (0,-3)

Point 2: (1,-1)

Which of the following best describes a ratio?

Answers

Often time we want to relate one amount or quantity with another, from the given options the one that best describes a ratio is option

A.  A comparison of two numbers

A ratio indicates how many times one number contains another. E.g, if there are five balls and nine lemons in a bowl of fruit, then the ratio of balls to lemons is five to nine. Similarly, the ratio of lemons to oranges is 5∶8

Learn more on ratios:

https://brainly.com/question/2328454

Water leaks from tanker at a rate of 8L/h. How much water will leak from the tank in: a: 2 Day. b: 2 Weeks

Answers

Answer:

look at the picture ..........

The chart shows how many people have signed up to go on a field trip each day. 62 students are allowed to go on the field trip. On which day would you expect that number to be reached?A) 8B) 9C) 10D) 11

Answers

Answer:

C

I hope it helps.

Solve for m.

35m>−30


a. m>−50

b. m<−50

c. m>−18

d. m<−18

Answers

Answer:

A.

m>-50

i asked for all the quizzes answers on my questions and i will tell you!

Step-by-step explanation:

k12

Answer:

m<-50

Step-by-step explanation:

At Sidney's Hats, 84% of the 50 hats are baseball caps. How many baseball caps are there?

Answers

Answer:

thats what i said

Step-by-step explanation:

42 baseball caps

Since 84% = 84/100 , and 50 is 1/2 of 100 we can think of 84% of 50 being half of the value of 84% of 100. So 84/2 = 42

There are other ways of solving such as multiplying 50 by 0.84, however I believe that how I solved it was the easiest way for this specific problem :)


20 EASY POINTS PLUS BRAINLIEST IF YOU ANSWER THIS QUESTION

Answers

Mark me as Brainliest Please

Eliminate the x and y

Answers

Step-by-step explanation:

Eliminate the x:

[tex]\left\{\begin{array}{ccc}x-2y=6\\3x+y=4\end{array}\right\\\\\text{Multiply by (-3)}\\\\\left\{\begin{array}{ccc}-3(x-2y)=(-3)(6)\\3x+y=4\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-3x+6y=-18\\3x+y=4\end{array}\right}\\.\qquad\qquad7y=-14\\.\qquad\qquad y=-2[/tex]

Eliminate the y:

[tex]\left\{\begin{array}{ccc}x-2y=6\\3x+y=4\end{array}\right\\\\\text{Multiply by 2}\\\\\left\{\begin{array}{ccc}x-2y=6\\2(3x+y)=(2)(4)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x-2y=6\\6x+2y=8\end{array}\right}\\\\.\qquad7x=14\\.\qquad x=2[/tex]

Part B
Transform the equation that you identified in part A so the variable k is alone on one side of the equation.

Answers

Answer:

Start with the original equation.

k + a = 500

Subtract a from both sides of the equation.

k + a – a = 500 – a

           k = 500 – a

Step-by-step explanation: this was my edmentum answer

I NEED HELP special right triangle 45-45-90

Answers

Answer:

x=6

y=9

Step-by-step explanation:

X=6
Y=9 because you got to divide by the highest numerator

simplify 1/3 : 2.5 : 3 3/4​

Answers

Answer:

i dont know

Step-by-step explanation:

Answer:

  4 : 30 : 45

Step-by-step explanation:

The least common denominator of the fractions 1/3, 1/2, and 1/4 is 12. Multiplying the ratio by 12 gives ...

  (1/3) : (2.5) : (3 3/4) = (12)(1/3) : (12)(2.5) : (12)(3 3/4)

  = 4 : 30 : 45

Which of the accounts below are considered accrued expenses?

Answers

Answer:

Accrued expenses are those liabilities that have built up over time and are due to be paid. Accrued expenses are considered to be current liabilities because the payment is usually due within one year of the date of the transaction. Accounts payable are current liabilities that will be paid in the near future.

Answer:

Wages expense, Interest expense

Step-by-step explanation:

A crate has a mass of 6kg. Using the fact that the acceleration due to gravity is g=9.8 m/s2, how much work is done in lifting the crate 3m, in Joules? Round answer to one decimal place if necessary.

Answers

Work done = force applied * distance covered

Force = mass * acceleration

Therefore, Work done = mass * acceleration * distance covered

Parameters:

mass = 6kg

acceleration = 9.8m/s2

distance = 3m

Substitution:

Work done = 6 * 9.8 * 3

Work done = 176.4J (to 1 decimal place)

PLEASE HELP THIS IS DUE IN 10 MINUTES!!!!!

Answers

Answer:

b1-h3, b2-h2, b3-h3.

Step-by-step explanation:

See the image.

Hope that helps! :)

(Can you please mark me as brainliest?)

Select the property of equality used to arrive at the conclusion.

If x = 2, then x + 8 = 10Select the property of equality used to arrive at the conclusion. If x = 2, then x + 8 = 10

1. the subtraction property of equality
2. the addition property of equality
3. the multiplication property of equality
4. the division property of equality

Answers

Answer:

addition property of equality

Step-by-step explanation:

This is because the addition property of equality means

if [tex]a=b[/tex] then [tex]a+c=b+c[/tex]

So if, [tex]x=2[/tex] then [tex]x+8=2+8[/tex]

What is the equation for the line in slope-intercept form?

Answers

Y=-8/2x+5
Hgfxdffggggujjcfccchhjbvg

)) Fill in the missing number.
()) 70% of
=
56

Answers

Answer: x=80

Step-by-step explanation: multiplying both sides by 100 and dividing both sides by 70  then we have x=56 x 100/70 then your answer is x=80. If you're using a calculator, simply enter 56x100 divided by 70  which will give you the answer  

Let that be x

70% of x=567/10 × x=56x=56×10/7x=8(10)x=80

A school has 147 third graders. The third grade teachers have planned a special treat for the last day of school and brought ice cream for their students. There are three flavors: mint chip, chocolate, and strawberry. Suppose that 60 students like (at least) mint chip, 103 like chocolate, 50 like strawberry, 30 like mint chip and strawberry, 40 like mint chip and chocolate, 25 like chocolate and strawberry, and 18 like all three flavors. How many students don't like any of the flavors available

Answers

Add all of the students who like the ice creams and subtract from 147 :)

A boy eats ⅝ of a loaf at breakfast and ¼ of it for Lunch. what fraction of the loaf is Left?​

Answers

To make 5/8 and 1/4 even, we multiply 1/4 by 2 on the numerator and denominator.

This makes the fractions, 5/8 and 2/8.
5/8 + 2/8 = 7/8

8/8 - 7/8 = 1/8

There is 1/8 of the loaf left.

In the EXPLORE online library, the ratio of the number of novels to that of dictionaries is 2:3 and the total number of novels is 624. If Joe buys more novels and the ratio becomes 7:3, then how many novels have been bought in total?

Answers

Using a system of equations, it is found that 1530 more novels have been bought in total.

For the system, we have that:

x is the number of novels.y is the number of dictionaries.

The ratio of the number of novels to that of dictionaries is 2:3, hence:

[tex]\frac{x}{y} = \frac{2}{3}[/tex]

[tex]3x = 2y[/tex]

[tex]y = \frac{3x}{2}[/tex]

Total number of novels is 624, hence:

[tex]x = 624[/tex]

[tex]y = \frac{3}{2} \times 624 = 936[/tex]

Buys z more novels, and the ratio becomes [tex]\frac{7}{3}[/tex], hence:

[tex]\frac{624 + z}{923} = \frac{7}{3}[/tex]

[tex]1872 + 3z = 6461[/tex]

[tex]z = \frac{6461 - 1872}{3}[/tex]

[tex]z = 1530[/tex]

1530 more novels have been bought in total.

A similar problem is given at https://brainly.com/question/17096268

I NEED HELP ASAP! PLEASE

Answers

Answer:

16,32,16

Step-by-step explanation:

We can see that there is a pattern in this ratio table- 4, 8, 12. I can assume that the next number will be 16, beucase 4+4=8, 8+4=12, 12+4=16.  For the apple juice, we just follow the same pattern as for the orange juice, by adding the number by itself, so the patttern is 8, 16,24, 32.

Write the ratio:
0.26
to
0.52
as a fraction in lowest terms.

Answers

Answer:

[tex] \frac{13}{50} to \: \frac{12}{25} [/tex]

What are the solutions to this quadratic equation? x2+6x-5 A. B. C. D.

Answers

Factoring x2-6x+5

The first term is, x2 its coefficient is 1 .
The middle term is, -6x its coefficient is -6 .
The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 1 • 5 = 5

Step-2 : Find two factors of 5 whose sum equals the coefficient of the middle term, which is -6 .

-5 + -1 = -6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and -1
x2 - 5x - 1x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-5)
Add up the last 2 terms, pulling out common factors :
1 • (x-5)
Step-5 : Add up the four terms of step 4 :
(x-1) • (x-5)
Which is the desired factorization

Equation at the end of step
1
:

(x - 1) • (x - 5) = 0
STEP
2
:
Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : x-1 = 0

Add 1 to both sides of the equation :
x = 1

Solving a Single Variable Equation:

2.3 Solve : x-5 = 0

Add 5 to both sides of the equation :
x = 5

Supplement : Solving Quadratic Equation Directly

Solving x2-6x+5 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

3.1 Find the Vertex of y = x2-6x+5

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 3.0000

Plugging into the parabola formula 3.0000 for x we can calculate the y -coordinate :
y = 1.0 * 3.00 * 3.00 - 6.0 * 3.00 + 5.0
or y = -4.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = x2-6x+5
Axis of Symmetry (dashed) {x}={ 3.00}
Vertex at {x,y} = { 3.00,-4.00}
x -Intercepts (Roots) :
Root 1 at {x,y} = { 1.00, 0.00}
Root 2 at {x,y} = { 5.00, 0.00}

Your friend tells you that at 1:00 pm the temperature outside was 67 degrees Fahrenheit and at 5:00 pm, that same day, the temperature was 65 degrees Fahrenheit. He also states that the average rate of change of the temperature between 1:00 pm and 5:00 pm increased by 2 degrees Fahrenheit. Determine if your friend is correct ?

Answers

Answer:

Incorrect

Step-by-step explanation:

Average rate of change is

(65 - 67) / (5:00 - 1:00)  = -½°/hr

Find the equation of the line shown!!!

Answers

Answer:

y = x + 6

Step-by-step explanation:

19 /5 as a mixed number

Answers

Answer:

[tex]\frac{19}{5}= 3\frac{4}{5}[/tex]

Step-by-step explanation:

5 can go into 19 three times. This will leave a remainder of 4. Therefore, 19/5 as a mixed number is 3 4/5.

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