Ivan also decides to try putting together the “Multiples of 3” set from the numbers sitting around. How can he know if a number is a multiple of 3? (Hint: Build a lot of different multiples of 3. Then look at the sum of the digits of each number.

Answers

Answer 1

Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, ...

The two digit numbers in that list above all have their digits adding to some other multiple of 3

1+2 = 31+5 = 61+8 = 92+1 = 32+4 = 62+7 = 93+0 = 33+3 = 63+6 = 9

and so on.

Therefore, the rule is: If the digits add to a multiple of 3, then the original number is a multiple of 3.


Related Questions

On his most recent math test, Jeremy answered 48 questions correct out of 80 total questions. Which statement can be made about Jeremy's math test?

Answers

Answer:

Jeremy has gotten more than half of the test's questions correctly.

Step-by-step explanation:

To get half of the questions correctly, Jeremy needed at least 40, and Jeremy got more than 40, meaning he got more than half.

assume 85% of people actually show up for thier flight on time. because of this, airlines tend to overbook flights. a random sample of 220 booked passengers is taken and whether or not they showed up on time is recorded for each of them.

Answers

The sample proportion based on the question that we have here is 0.85

What is sample proportion?

The sample proportion (p) indicates the percentage of people in a sample who exhibit a particular quality or attribute. Divide the number of individuals (or items) who have the desired attribute by the overall sample size to obtain the sample proportion.

P=X/N, where X represents the number of successes and N represents the sample size, yields the sample proportion.

Hence from the question, we see that 85% of the passengers booked for flights actually show up.  hence the proportion is 0.85.

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Can some one help with this problem

Can some one help with this problem

Answers

Step-by-step explanation:

Area of the trapezoid = height x average of bases

                 area = 4 x (8+13)/2) = 42 in^2

Area of triangle  = 1/2 base * height   = 1/2 (13-8) * 4 = 10 in^2

Dеtеrmіnе tһе rаnցе օf tһе fսnсtіօn f(х) = 3х - 5 ԝһеn tһе ԁօmаіn іѕ {-4, 2, 9}.

Answers

Answer:

range is { - 17, 1, 22 }

Step-by-step explanation:

Substitute the values from the domain (input) into f(x) for range

f(- 4) = 3(- 4) - 5 = - 12 - 5 = - 17

f(2) = 3(2) - 5 = 6 - 5 = 1

f(9) = 3(9) - 5 = 27 - 5 = 22

range is { - 17, 1, 22 }

please help
What is the distance to the earth’s horizon from point P?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

x =
mi

please help What is the distance to the earths horizon from point P?Enter your answer as a decimal in

Answers

The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.

How to find the distance to the earth horizon from a given point

In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:

x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]

x = 284.372 mi

The distance x is equal to 284.372 miles.

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what is the value of

(8+3k)²-(-k-6)²¹ if k=5​

Answers

Answer:=530

Step-by-step explanation:

Here are the cost of tickets at a cinema venue

Here are the cost of tickets at a cinema venue

Answers

Answer:

A=40.8 B=8

Step-by-step explanation:

A Explanation

£7.20*3=£21.6

£9.60*2=£19.2

19.2+21.6=40.8

B Explanation

£9.60*3=£28.8

86.40-28.8=57.6

57.6/7.20=8

Economists are studying your local housing market to see whether mortgage approval rates impact home prices. They collect data on mortgage approval rates in your area and compare them with local housing prices. In this experiment, what are the variables measures? A. Mortgage approval rates and discrimination B. Housing prices and income. C. Mortgage approval rates and income. D. Mortgage approval rates and housing prices

Answers

Answer:

D. Mortgage approval rates and housing prices

Step-by-step explanation:

From the study being conducted by the economist, the two variables in their study happens to be the Mortgage approval rates and the housing prices. This is because, the local housing market is influenced by those two.

The higher the value of one variable, it may have a direct or indirect influence on the value of the other variable. To determine the relationship between the two means it need to be investigated.

round two decimal places −1.47213595

Answers

Answer:

I believe that would be -1.47

Step-by-step explanation:

evaluate the expression 16-30

Answers

Answer:

The answer is -14.

Step-by-step explanation:

16-30

-(30-16)

=-14.

Hope that helped!

The answer would be -14

Please help, I’ll mark your answer as brainliest.

Please help, Ill mark your answer as brainliest.

Answers

Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

What is a sound wave?

When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.

When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.

Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.

Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

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9. Find BD if AABC~AXYZ
A
BD and
and
B
12
A
D
C X
YW
are medians.

Answers

We have found that: AB = (BD/2) * (XZ/AY) and we can solve for BD:

BD = 2 * AB * AY / XZ

What is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

Since BD is a median of triangle ABC, it divides side AC into two equal parts. Let's label the midpoint of AC as M. Similarly, YW is a median of triangle XYZ and it divides side XZ into two equal parts, with the midpoint labeled as N.

Since AABC~AXYZ, we know that the corresponding sides are proportional. Thus,

AB/AX = AC/AY = BC/BZ

Since AB = BC (given that B is a vertex of both triangles), we have:

AB/AX = AC/AY

We can rewrite this equation as:

AB/AC = AX/AY ----(1)

Since BD is a median of triangle ABC, we have:

BD = 1/2 AC ----(2)

Similarly, since YW is a median of triangle XYZ, we have:

YW = 1/2 XZ ----(3)

From equation (1), we have:

AB/AC = AX/AY

Multiplying both sides by AC, we get:

AB = AX * (AC/AY)

Now, using equation (2), we can substitute AC/2 for BD:

AB = AX * BD/AY

Finally, using equation (3), we can substitute XZ/2 for YW:

AB = (BD/2) * (XZ/AY)

Therefore, we have found that:

AB = (BD/2) * (XZ/AY)

Hence, we can solve for BD:

BD = 2 * AB * AY / XZ

Note that we need to know the actual values of AB, AY, and XZ to find BD.

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Find the distance between points 0, 10 and -9, 1

Answers

Answer:

9,9

Step-by-step explanation:

0 - -9 = 9

9 is the first number

10 - 1 = 9 (subtracting the biggest number by the lowest number tells the difference between two numbers.)

9 is also the second number.

lisa leaves the house to drive to school. she drives 9 miles north and 40 miles west. how far is she from her starting point?

Answers

Answer:

49 miles I believe.

Step-by-step explanation:

9 + 40 = 49

Is that what you needed?

Answer:

49 miles

Step-by-step explanation:

9 + 40 = 49 miles

I hope this helps!

: What is 40% of 200 Using table​

Answers

Answer:

80

Step-by-step explanation:

40% of 200=80

Answer:

80

Step-by-step explanation:

40% of 200

40/100×200

80

Answer is 80

Wxyz is a rhombus with m x = 24(10 -x)

Answers

Answer:

ehshshjsjsjsshsnssssd

6th grade ratios 50 pts

6th grade ratios 50 pts

Answers

Answer:

13 milliliters

Step-by-step explanation:

it is 13

i think the answer would be 6.5 milliliters. you would divide 325 cm^3 with 50 cm^3 and you would get 6.5

Solve x2 + 12x = –20 by completing the square.

Answers

Answer:

Solve x2 + 12x = –20 by completing the square.Add to both sides of the equation. The value of in this equation is 36Write the left side of the equation as a binomial squared. The left side of the equation becomes (x+6)2.Use the square root property of equality.Isolate the variable: x = -10 and -2

Step-by-step explanation:

the mean sale per customer for 40 customers at a grocery store is $23.00, with a standard deviation of $6.00. Apply Chebyshev's Theorem to the data using k=2.

Answers

The answers is 75%x40=0.75x40=30

A closet in Shivani's house is 2 yards by 1 yard. How much would it cost to put a new floor in the closet if the flooring costs $38.00 per square yard?

Answers

The amount it would cost to put a new floor in the closet is $76.00

Calculating how much it would cost to put a new floor in the closet

From the question, we are to calculate how much it would cost to put a new floor in the closet

From the given information,

A closet in the house is 2 yards by 1 yard.

To determine how much it would cost to put a new floor in the closet,

First,

We calculate the area of the closet

Area of the closet = 2 yard × 1 yard

Area of the closet = 2 square yards

Now,

From the given information,

The flooring costs $38.00 per square yard

Thus,

The amount it would cost to put a new floor in the closet is

2 × $38.00

= $76.00

Hence,

The amount it would cost is $76.00

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From a cuboidal cardboard box of dimensions 80cm×40cm×15cm,6 circles of radius 7 cm were cut from the front face.Find the surface area of remaining box.​

From a cuboidal cardboard box of dimensions 80cm40cm15cm,6 circles of radius 7 cm were cut from the front

Answers

Answer:

9076 cm²

Hope my answer helped you

From a cuboidal cardboard box of dimensions 80cm40cm15cm,6 circles of radius 7 cm were cut from the front

ILL GIVE BRAINELST

If the area of C is
400 ft2 and the
perimeter of B is 64 ft,
what is the side length
of square A?

ILL GIVE BRAINELST If the area of C is400 ft2 and theperimeter of B is 64 ft,what is the side lengthof

Answers

Answer:

A = 12 ft

Step-by-step explanation:

Perimeter ( of SQUARE) B = 64

  then each side = 64/4 = 16

AREA of SQUARE C = 400

    side X side = 400

        then side = sqrt 400

Now use Pyhtagorean Theorem to find leg of right triangle that is

   side A  Side B  hypotenuse Side C

A^2 + 16^2 = (sqrt 400)^2

A^2 = 400 - 256

A^2 = 144       then A = 12  Ft

With your team, create a piecewise-defined function with at least three “pieces.” The function does not need to be a step-function with horizontal line segments, but it needs to meet the definition of a function. Make a table and a graph for your function, and write an equation for each part. Be sure to state the domain for each part, as well as the domain for the whole function.

Answers

On solving the provided question we can say that The following is the data table of the function.

what is function?

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

the provided functions that can be formed are

           x            -infinity < x < -10

f(x) =    2x + 10          -10 < x < 10

           4X - 10       10 < x < infinty

The following is the data table of the function.

x              y

-20          -20

-15          -15

-10          -10

-5             0

0              10

5               20

10              30

15              50

20              70

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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

what is function?

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.

A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.

Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

The following is the data table of the function.

x               y

-20          -20

-15           -15

-10           -10

-5              0

0              10

5              20

10              30

15              50

20             70

The provided functions that can be formed are

\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

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The length of a rectangle is 4 inches longer than it is wide. If the area is 32 square inches, what are the dimensions of the rectangle?

Answers

Answer:

width = 4in

length = 8in

Step-by-step explanation:

A = LxW = 32

L = W + 4

W(W+4) = 32

W² + 4W - 32 = 0

(W + 8)(W - 4) = 0

W ≠ -8 (dimensions cannot be negative)

W = 4in

L = W+4 = 4+4 = 8in

16) Solve for side AB.
AB-
Round your answer to the nearest hundredth.

A) 5.45
B) 6.45
C) 7.45

16) Solve for side AB.AB-Round your answer to the nearest hundredth.A) 5.45B) 6.45C) 7.45

Answers

Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

In this triangle, side AB is the hypotenuse.

In order to find the hypotenuse, we can use the trigonometric function “cosine”,
since.

Cosine =
Adjacent side (which is 7) / hypotenuse

Cos(50) = 7 / AB

AB = 7 / Cos(50)

AB = 10.89006678802289

AB ≈ 10.89

Have a good day ^^

A psychologist is interested in the social interactions of preschool children. She measures the number of verbal interactions that each child at a preschool engages in during a day. Here is the frequency distribution of the data. The cumulative frequency for the interval 46-55 is _________

Answers

Answer:

\(CF = 13\)

Step-by-step explanation:

Given

See attachment for table

Required

Determine the cumulative frequency for interval 46 - 55

To do this, we add up the frequency from the lowest interval up to interval 46 - 55.

From the attached table, the lowest interval is 6-15.

So, the cumulative frequency (CF) is:

\(CF = 1+2+3+3+4\)

\(CF = 13\)

A psychologist is interested in the social interactions of preschool children. She measures the number

Darren and barb each tried to evaluate 6(2) + 4 ÷ 2 who elaluated the expression correctly?

Answers

Answer:

14

Step-by-step explanation:

6(2)

12

4÷2

2

12+2

pemdas

Answer:

14

Step-by-step explanation:

first u multiply 6 and 2 to get 12 because u always start with parenthesis or squares, then you divide 4 and 2 to get 2 because afterwards u play around with the multiplication and division. finally u add both answers u got to get 14

using the disk method, determine the volume of a solid formed by revolving the region bounded above by the line , on the left by the line , on the right by the curve , and below by the line the about the -axis.

Answers

The volume of a solid formed by revolving the region bounded above by the line is (932π/15)

To use the disk method, we need to integrate over the axis of revolution, which is the y-axis in this case. We can break the solid into vertical disks of thickness dy.

The radius of each disk is given by the distance between the y-axis and the curve \(x = y^2 - 1\). So the radius is:

\(r = y^2 - 1\)

The height of each disk is the difference between the y-coordinate of the top curve y = 3 and the y-coordinate of the bottom curve y = 1. So the height is:

h = 3 - 1 = 2

The volume of each disk is then:

\(dV = \pi r^2h dy\)

Substituting r and h, we have:

\(dV = \pi (y^2 - 1)^2 (2) dy\)

To find the total volume, we integrate over the range of y from 1 to 3:

\(V = \int_{1}^{3} \pi(y^2 - 1)^2 (2) dy\)

This integral can be simplified by expanding the squared term:

\(V = \int_{1}^{3} \pi (y^4 - 2y^2 + 1) (2) dyV = 2\pi \int_{1}^{3}(y^4 - 2y^2 + 1) dyV = 2\pi [(1/5)y^5 - (2/3)y^3 + y]^3_1\)

V = \(2\pi [(1/5)(3^5 - 1^5) - (2/3)(3^3 - 1^3) + (3 - 1)]\)

V = 2π [(1/5)(242) - (2/3)(26) + 2]

V = 2π [(242/5) - (52/3) + 2]

V = 2π [(726/15) - (260/15) + 30/15]

V = 2π [(466/15)]

V = (932π/15)

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Note: The full question is

Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given lines. y = 1, y = 3, x = y^2 - 1.

Mr. Chand is one of the landlords of his town. He buys a land for his daughter spanning over a
area of 480m². He fences the dimensions of the land measuring (x+12) mx (x+16) m. Now he
plans to erect a house with a beautiful garden in the ratio 5:3 respectively. A total of Rs. 5,00,000 is estimated as the budget for the expenses.

1)Give the area of the land purchased in linear polynomial form using algebraic expression

2)Mr. Chand's daughter is ready to share 3/5" of the expenses by her earnings. Express the
fraction in amount.

3)Can you solve the linear equation/polynomial of the area into different factors?

Answers

The required answers are 1) \($$A = x^2 + 28x + 192$$\) 2) 300000 3) \($$x^2 + 28x + 192 = (x + 14 - 2\sqrt{19})(x + 14 + 2\sqrt{19})$$\).

How to deal with area and fractions?

area of the land purchased is given as 480m², and the dimensions of the land are (x+12)mx(x+16)m. Therefore, the area of the land can be expressed as:

\($$A = (x+12)(x+16)$$\)

Expanding this expression, we get:

\($$A = x^2 + 28x + 192$$\)

Hence, the area of the land purchased is given by the polynomial expression \($x^2 + 28x + 192$\).

The total budget for the expenses is Rs. 5,00,000. If Mr. Chand's daughter is ready to share 3/5 of the expenses, then the fraction of the expenses she will pay is:

\($\frac{3}{5}=\frac{x}{500000}$$\)

Simplifying this expression, we get:

\($x = \frac{3}{5}\times 500000 = 300000$$\)

Therefore, Mr. Chand's daughter will pay Rs. 3,00,000 towards the expenses.

We can solve the polynomial \($x^2 + 28x + 192$\) into different factors by using the quadratic formula:

\($x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$\)

Here, the coefficients of the polynomial are:

\($$a = 1, \quad b = 28, \quad c = 192$$\)

Substituting these values in the quadratic formula, we get:

\($x = \frac{-28 \pm \sqrt{28^2 - 4\times 1 \times 192}}{2\times 1}$$\)

Simplifying this expression, we get:

\($$x = -14 \pm 2\sqrt{19}$$\)

Therefore, the polynomial \($x^2 + 28x + 192$\) can be factored as:

\($$x^2 + 28x + 192 = (x - (-14 + 2\sqrt{19}))(x - (-14 - 2\sqrt{19}))$$\)

or

\($$x^2 + 28x + 192 = (x + 14 - 2\sqrt{19})(x + 14 + 2\sqrt{19})$$\)

So, we have factored the polynomial into two factors.

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PLEASE HELP DUE SOON!
I'm so confused, help determine the 100th line segment from question below!

PLEASE HELP DUE SOON!I'm so confused, help determine the 100th line segment from question below!

Answers

Answer:

20200

Step-by-step explanation:

As you're in a hurry, I can give it later? xx

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