How many 5-digit numbers are there in which three of the digits are 6, or two of
the digits are 9 ?

Answers

Answer 1

Answer:

The value  is  [tex]Z = 80[/tex]

Step-by-step explanation:

From the question we are told that

    The total  number of digit is  n = 5

     The total possible number of  6  is  k =  3

     The total possible number of  9  is  a = 2

Generally the number of way of representing a 5 digits number(i.e the number of five digit numbers ) in which 3 of the digit are 6 is mathematically represented as

       [tex]N = ^ nP_k[/tex]

Here P stands for permutation hence we are going to be making use of the permutation function in our calculators

      [tex]N = ^ 5P_3[/tex]

=>   [tex]N = 60[/tex]

Generally the number of way of representing a 5 digits number(i.e the number of five digit numbers ) in which 2 of the digit are 9 is mathematically represented as

       [tex]M = ^ nP_a[/tex]

      [tex]M = ^ 5P_2[/tex]

=>   [tex]M = 20[/tex]

Generally the number of 5-digit numbers there are in which three of the digits are 6, or two of  the digits are 9  is mathematically represented as

      [tex]Z = M + N[/tex]

=>   [tex]Z = 60 + 20[/tex]

=>   [tex]Z = 80[/tex]


Related Questions

What is the radius of a circle whose equation is (x + 5)2 + (y - 3)2 = 42?
O 2 units
Ο Ο Ο
4 units
8 units
16 units

Answers

Answer:

The radius of the circle is:

[tex]r=4[/tex] units

Step-by-step explanation:

Given the equation

[tex]\left(x\:+\:5\right)^2\:+\:\left(y\:-\:3\right)^2=\:42[/tex]

As we know that

[tex]\left(x\:-\:a\right)^2\:+\:\left(y\:-\:b\right)^2=\:r^2\:[/tex]

is the equation of the circle with a radius 'r', centered at (a, b)

[tex]\mathrm{Rewrite}\:\left(x+5\right)^2+\left(y-3\right)^2=4^2\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}[/tex]

so, the circle properties are:

[tex]\left(x-\left(-5\right)\right)^2+\left(y-3\right)^2=4^2[/tex]

Therefore, the radius of the circle is:

[tex]r=4[/tex] units

A triangle is formed with side lengths of 5 inches, 12 inches, and 15 inches. Is the triangle a right triangle?

Answers

Answer:

the triangle is not a right angle

Step-by-step explanation:

5²+12²=169

15²=225

The given triangle is not right angle triangle, because the given information of the triangle does not hold the Pythagoras theorem.

What are Pythagorean triplets?  

In a right-angled triangle, its side, such as hypotenuse, perpendicular and base is Pythagorean triplets.

Here,
A triangle is formed with side lengths of 5 inches, 12 inches, and 15 inches.
Verifying whether it is right angle or not,
Hypotenuse = 15
perpendicular = 12
Base = 5

Now,
Pythagoras' theorem is given as,
h² = p² + b²
15² = 12² + 5²
225 ≠ 169

Thus, the given triangle is not right angle triangle, because the given information of the triangle does not hold the Pythagoras theorem.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ2


In physical education class, Mai takes 10 free throws and 10 jump shots. She earns 1 point for each free throw she makes and 2 points for each jump shot she makes. The greatest number of points that she can earn is 30.


Write an inequality to describe the constraints. Specify what each variable represents.

Answers

Answer:

30

Step-by-step explanation:

10 x 1 (for the free throws)= 10

10 x 2 (for the jump shots)= 20

20+10=30

Cual es el resultado de la división 1771.2 entre 48

Answers

Responder: 36.9

explicación paso a paso:

1771.2 / 48 = 36.9

Does somebody know the answer to this question I’m lost

Answers

Answer:

81b + 4 - 14/3b

Step-by-step explanation:

divide by 3b, u can leave the fraction in there

I give brainiest Martin decided to buy 3 bags of grapes weighing 4 1 5 pounds each. How much did all 3 bags of grapes weigh? 1 and one-fifth 7 and one-fifth 12 and one-fifth 12 and three-fifths

Answers

Answer:

12 3/5

Step-by-step explanation:

Answer:

12 3/5       can i have brainlist??                                                                          

2 ÷ 1/2 what is the answer

Answers

the answer is 4.....

Answer:

2 ÷ 1/2 is 4

Step-by-step explanation:

Kaley and Tom both work at Publix as cashiers for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Choose all the expressions that represents the weeks' wages for Kaley if h represents the number of hours Tom worked.

Answers

Answer:

X=5+h

Step-by-step explanation:

g(x) = x2 + 5; 9(-6) how to evaluate the function for the given value​

Answers

Answer:

9×−6

​​

Thats the answer put that Promise can I get brainliest just click on my profile then go back and youĺl see a crown and click it on my name

Step-by-step explanation:

Wirth 20 points (02.02)A shape is shown on the graph:


Which of the following is a reflection of the shape?

A coordinate plane is shown. A triangle has vertices negative 2 comma negative 1, negative 3 comma negative 3, and negative 1 comma negative 3.
A coordinate plane is shown. A triangle has vertices 1 comma 1, 0 comma negative 1, and 2 comma negative 1.
A coordinate plane is shown. A triangle has vertices negative 3 comma negative 1, negative 2 comma negative 3, and negative 1 comma negative 1.
A coordinate plane is shown. A triangle has vertices negative 3 comma negative 1, negative 3 comma negative 3, and negative 1 comma negative 2.

Answers

Answer:

b

Step-by-step explanation:

The reflection of the dots marked is on the opposite side at the same numbers and lines but with a different sign in front of the number.

Answer: b

Step-by-step explanation:

The reflection of the dots marked is on the opposite side at the same numbers and lines but with a different sign in front of the number.

There are 86 calories in 100 g of banana
There are 89 calories in 100 g of yogurt
Amanda has 70 g of banana and 140 g of yogurt for breakfast
Work out the total number of calories in this breakfast

Answers

184.8 calories :)

the grams are both 100, meaning we can use percentages. banana: 70% of 86 (.7*86=?) is 60.2 calories. yogurt: 140% of 89 (1.4*89=?) is 124.6 calories. 60.2+124.6=184.8 calories

From Monday - Tuesday, Adam earns $122 dollars. If he continues to earn the same amount for the rest of the week, how much will he have at the end?

Answers

Answer:

$437

Step-by-step explanation:

There are 7 days in a week.

Let's stop at the last even number, the 6th day.

Tuesday is four days away from Sunday, so multiply 122 by 3.

[tex]\mathrm{122}[/tex] × [tex]3[/tex] = [tex]366[/tex]

Finally, we are at the 7th day. There is no 8th day in a week, so divide 122 by 2.

[tex]122[/tex] ÷ [tex]2[/tex] [tex]=61[/tex]

Now, let's add 61 to 366. We get $437, and that is our answer.

Hope this helps!

Solve for X to the nearest tenth

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x}{14}[/tex] = cos32°

x = 14cos32° ≈ 11.9

IIf two ounces of cheese has 200 calories, how many calories are in 5 ounces of cheese?

Answers

Answer:

500 calories

Step-by-step explanation:

200 / 2 = 100

1 ounce = 100 calories

5 * 100 = calories.

OR

200 * 5 = 1000

1000 / 2 = 500

Therefore, 5 ounces of cheese = 500 calories.


Which equation is linear?
A. xy = 6
B. 3x – 2y = 5
C. y = x² – 3x + 1
D. Y2 + 1 = x

Answers

Answer:

B

Step-by-step explanation:

3x - 2y = 5

In linear equation each terms degree should be 1.The above is Linear equation with two variables.

The lowest temperature ever recorded on Earth was
-89.2°C in Antarctica. The highest temperature ever
recorded was 56.7°C in California. What is the
difference between the highest and lowest recorded
temperatures?
PLEASE ANSWERRRRR

Answers

Answer:

Highest temperature=56.7°C

Lowest temperature= -89.2°C

Difference between the temperatures = 89.2+56.7=145.9

Which three-dimensional figure has half the number of vertices as the rectangular prism?

hexagonal prism
rectangular pyramid
triangular prism
triangular pyramid

Answers

Answer:Triangular pyramid (tetrahedron) has 4 vertices

Step-by-step explanation:

Answer:

its d i just got 100%

Step-by-step explanation:

Choose a value that breaks this gem into 5 equal pieces.
25%
50%
10%
20%
200

Answers

20%, because 100/5=20

Which model represents 1/3

Answers

I’m pretty sure there is more to the question than uploaded.

- A picture frame is 12 inches long and 9 inches wide. In inches, what is the diagonal length of
the picture frame?
O 21 inches
O 15 inches
8 inches
06 inches

Answers

I would say 15 inches

If x6 as 3:9, then x is equal to? ​

Answers

Answer:

2,33

Step-by-step explanation:

because if you multiply 3 + 9 you,ve got 27 besides 6

How many groups of 5 are in the product of 523 and 45

Answers

there are 104.6 and 9 groups of 5 in 523 and 45

2/3 times 8
Please answer quick

Answers

Answer:

16/3 or 5 1/3

Step-by-step explanation:

Answer:

2/3x8= 2/3x1/8= 6/8 if u simplifie it, it would be 3/4.

=3/4

(ILL GIVE BRAINLIEST!!)


What is friction and when does it occur?

Answers

Answer:

Friction is a force that opposes motion between any surfaces that are touching. Friction occurs because no surface is perfectly smooth. Rougher surfaces have more friction between them. ... Friction produces heat because it causes the molecules on rubbing surfaces to move faster and have more energy

Answer:

It is what happens when 2 things rub 2gether. It occurs when 2 things rub 2gether

Step-by-step explanation:

Brainliest now pls

How much will you spend on an investment if you want to receive $7,000 at an annual rate of 6% compounded weekly in 4 years?

Answers

Answer:

The investment required is: $5687

Step-by-step explanation:

Future Amount A= $7000

Rate r = 6% =0.06

Time t = 4

Compounded Weekly = n= 52

We need to find Principal Amount P

The formula used is: [tex]A=P(1+\frac{r}{n})^{n*t}[/tex]

Putting values and finding P

[tex]A=P(1+\frac{r}{n})^{n*t}\\7000=P(1+\frac{0.06}{52})^{4*52}\\7000=P(1.001)^{208}\\7000=P(1.231)\\P=\frac{7000}{1.231} \\P=5687[/tex]

So, The investment required is: $5687

Evaluate.

8−2⋅3+7

PLZ PLZ HURRY

Answers

8-2•3+7= 8-6+7= 2+7=9 you have to use Pemadas

Answer:

9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction

Step-by-step explanation:

Step 1: Define expression

8 - 2 · 3 + 7

Step 2: Evaluate

Multiply:                    8 - 6 + 7Subtract:                   2 + 7Add:                          9

a car travels from point s at (-5,7) to point t at (-5,-1). if each unit represents 20 miles, how long will it take the car to travel this distance, traveling at 40 miles per hour?

Answers

Answer:

The value is  [tex]t = 4 \ hours[/tex]

Step-by-step explanation:

From the question we are told that

  The initial  position of the car is  [tex]x_i , y_i = (-5,7)[/tex]

   The final position of the car is    [tex]x_f , y_f = (-5,-1)[/tex]

    The speed of the car is [tex]v = 40 \ miles / hour[/tex]

Generally the distance covered by the car along the x-axis is  

      [tex]x = -5 - [- 5][/tex]

=>    [tex]x = 0[/tex]

Generally the distance covered along the y-axis is  

     [tex]y = y_i - y_f[/tex]

=>[tex]y = y_i - [-1][/tex]

=>  [tex]y = 8[/tex]

Generally the resultant distance covered is  

     [tex]R = \sqrt{x^2 + y^2}[/tex]

=>   [tex]R = \sqrt{0^2 + 8^2}[/tex]

=>   [tex]R = 8[/tex]

From the question we are told that 1 unit of the distance covered is  20 miles so  

    8 units is

           [tex]r = 8 *20[/tex]

=>        [tex]r =160 \ miles[/tex]

Generally the time taken is mathematically represented as

       [tex]t = \frac{r}{v}[/tex]

=>    [tex]t = \frac{160}{ 40}[/tex]

=>    [tex]t = 4 \ hours[/tex]

Write 74 in expanded form. Then check all that apply.

Answers

Answer:

7x7x7x7

Step-by-step explanation:

The exponent is 4. The exponent tells you to multiply 7 together 4 times

Answer:

above

Step-by-step explanation:

Linda borrows $124 from her brother. He tells her to forget paying back $65 of the loan. How much does Linda owe her brother?

Answers

Answer:

$59

Step-by-step explanation:

124 - 65 = 59

For the cube shown, AD and HG are?
Parrallel lines
Oblique lines
Skew lines
Perpendicular lines

Answers

Answer:

Parallel lines

Step-by-step explanation:

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