Three consecutive odd integers have a sum of 45. Find the integers.

Answers

Answer 1

Answer:

13, 15, 17

Step-by-step explanation:

Each digit must be odd, and to get consecutive odd integers, you must add using the multiple of 2:

Let the least number be "x". Set the equation:

(x) + (x + 2) + (x + 4) = 45

Isolate the variable, x. First, combine like terms:

(x + x + x) + (2 + 4) = 45

(3x) + 6 = 45

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 6 from both sides:

3x + 6 (-6) = 45 (-6)

3x = 45 - 6

3x = 39

Divide 3 from both sides:

(3x)/3 = (39)/3

x = 39/3

x = 13

Your first number (x) is 13. Solve for the other 2 numbers:

(x) = 13

(x + 2) = 13 + 2 = 15

(x + 4) = 13 + 4 = 17

13, 15, 17 are your numbers:

Check:

13 + 15 + 17 = (13 + 15) + 17 = 28 + 17 = 45

~


Related Questions

which point is a solution to the solution≤8x-3

Answers

Answer:

-24

Step-by-step explanation:

8×-3=-24

hope you understood

A triangle has sides with lengths 5, 6, and 7. Is the triangle right, acute, or obtuse? Question 2 options: A) Obtuse B) Right C) Can't be determined D) Acute

Answers

Answer:

D:  Acute triangle

Step-by-step explanation:

First check whether this could be a right triangle.  Using the Pythagorean Theorem, we get:

5^2 + 6^2 = ? = 7^2      This equation is not true, and therefore the triangle is not a right triangle.

The side lengths 5, 6 and 7 are very close to one another, and so the triangle must have essentially similar interior angles, which means that all three angles are acute.  Answer D is correct:  This is an acute triangle.

Answer: D) Acute

Step-by-step explanation:

С
Use the geometric mean (leg) theorem. What is the
value of a?
b
A
0 72
h
02770
6
a
O 2015
705
14
B
Intro
Done

Answers

Answer: it is a

Step-by-step explanation:

which expression is equivalent to 3 1/3?

Answers

Answer:

your answer is "A" 1/3

Step-by-step explanation:

You are playing a board game. All even numbers are positive, and all odd numbers are negative. A positive number indicates forward movement, and a negative indicates backward movement. During your last 10 turns, you have gone back 90 spaces. if you spun the same number each time which number did you spin?

Answers

Answer:

Step-by-step explanation:

We khow that a positive number means going forward whereas a negative one means going bachward positive ⇒even  negative⇒oddwe moved 90 spaces back so we are dealing with a an odd number we played ten times

Let o be the number we spinned ten times :

90= 10 o0= 90/10 o=9

We spinned 9 ten times

Trying to find the missing segment to the triangle in the attached image.

Answers

Answer:

44 units length

Step-by-step explanation:

The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally. Therefore:

20/10 = x/22

20/10*22 = x

44 = x

What is the simplest form of 3/27a2b7?
3ab? (VD)
3abº (V3ab
O gab? (VD)
9ab33ab
Can someone help me plz?:)

Answers

Answer:

the solution is A

Step-by-step explanation:

[tex]\sqrt[3]{27a^{3}b^{7} } \\[/tex]

[tex]\sqrt[3]{(3)^3(a^3)(b^6)b}\\\\3ab^2\sqrt[3]{b}[/tex]

Answer:

3ab^2(3/b)

THE ANSWER A

Step-by-step explanation:

2020 HEHE

A sequence of transformations is described below.
A dilation about a point P
A rotation about another point Q
A vertical stretch about the horizontal line PQ
A reflection over a line PQ

Answers

Answer: Neither angle measures nor segment lengths

How many terms are in the following expression 55+ 14n -2m +3p

Answers

Answer:

4 terms

Step-by-step explanation:

There are 4 terms in the given expression:

=> 55

=> 14n

=> -2m

=> 3p

Use two unit multipliers to convert 50 square centimeters to square meters.

Answers

Answer:

0.005 square meters

Step-by-step explanation:

To convert a square centimeter to a square meter, divide the value by 10,000.

[tex]50/10000=0.005[/tex]

50 square centimeters is 0.005 square meters.

In the figure, O is the center, PT and PR are tangents, and
mZTOR = 150°. If OR = 6 cm, then what is the measure of
ZTPR?
a. 210°
b. 30°
c. 105°
d. 15°

Answers

Answer:

  b. 30°

Step-by-step explanation:

In quadrilateral OTPR, angles O and P are supplementary.

  angle P = 180° -angle O = 180° -150°

  angle P = 30° . . . . matches choice B

if the domain of a coordinate transformation that is reflected over the y-axis is (-1,3),(2,1),(5,-1)and(-1,-2) what is the range

Answers

Answer:

Range remains the same.

Step-by-step explanation:

(1,3),(-2,1),(-5,-1) and (1,-2)

The range is { -2 ≤ y≤ 3 } .

What is Transformation?

Transformation is changing the graph to a new one by Rotation, Reflection, Translation, and Dilation.

Reflection is to create a mirror image of the coordinate or the figure.

After reflection along any axis, the coordinate of the other axis changes to its additive inverse.

(x,y) ----> when reflected along y axis ----> ( -x , y)

The domain is all the values a function can have as input and the range is all the values that a function can have.

The original coordinate changes to  (-1,3),(2,1),(5,-1)and(-1,-2).

When reflected along the y-axis, the coordinates of the x-axis change and there is no change in the y-axis.

So the value of the domain changes while the range remains the same.

The range is { -2 ≤y≤3}

To know more about Transformation

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Please help me out i need it ASAP

Answers

Answer: C

Step-by-step explanation:

5 squareroot 2 = 7.07 which if you look up a 45 45 90 triangle calculator it is also eqivelant :)

Your answer will be letter d

Based on the graph, what is the initial value of the linear relationship?

A coordinate plane is shown. A line passes through the x axis at negative 3 and the y axis at 5.

−4
−3
five over three
5

Answers

Answer:  The slope is five over three

Step-by-step explanation:

The equation for this graph would be:  y= 5x/3 +5

Answer:

5

Step-by-step explanation:

Initial value is basically another way to say the y intercept. I mean if you think about it, most word problem linear relations start the graph at the y intercept.

Hope this helps :)

in which number does the digit 5 have a value that is 10 times as great as the digit 5 in the number 4.59?

Answers

Answer:

2775.9  

Step-by-step explanation:

options are

A) 578

B) 2775.9

C) 134.591

D) 31.757

Value of digit 5 in 4.59 is 0.5 as is is at tenth place after decimal

0.5 = 5/10

ten times of this value = 5/10*10 = 5

Thus, 5 is the value, and hence the number which we require should be at unit place of the required number.

In the given question

A) 578

here 5 is at hundredth place

other way to represent is is 500+70+8

B) 2775.9

here 5 is unit place and is correct option

it can be represented as

2000+ 700+ 70+ 7 + 9/10

c)C) 134.591

here 5 is tenth place after decimal

it can be represented as

100+ 30+ 5 + 5/10+9/100 + 1/1000

d)31.757

here 5 is hundredth place after decimal

it can be represented as

30+ 1 + 7/10+5/100 + 7/1000\

Hence, 2775.9  is correct choice.

A department store wants to know what motivated customers to visit their store on that particular day. Since 80
percent of the customers are male, researchers have decided to collect a __ by ensuring that 8 out of every 10
survey participants are male.

Answers

Answer:

sample.

Step-by-step explanation:

It is given that a department store wants to know what motivated customers to visit their store on that particular day.

We need to fill the blank.

Since 80 percent of the customers are male, researchers have decided to collect a ____ by ensuring that 8 out of every 10  survey participants are male.

For survey, researchers need small part of whole data, i.e., sample.

So, the required answer is "sample".

Since 80 percent of the customers are male, researchers have decided to collect a sample by ensuring that 8 out of every 10  survey participants are male.

Since 80 percent of the customers are male, researchers have decided to collect an erroneous sample by ensuring that 8 out of every 10 survey participants are male. This is a sampling error.

What is a Sampling Error?

A sampling error can arise when the said sample is not representative of the entire population as is in the case of the example above.

To eliminate the statistical error, the sample must be collected in such a way that the probability of every member of the population being included in the sample is equal to 1.

Learn more about sampling errors at:
https://brainly.com/question/5137866

32. The expression a^x means that a is to be used as a factor x times. Therefore, if a^x is squared, the result is

A) a^x^2
B) a^2^x
C) 2a^2^x
D) 2a^x

Answers

Answer:

B. a^2x

Step-by-step explanation:

squaring a^x gives. (a^x)²

by applying the rules of indices, ^2 multiplies x therefore making it a^2x

Find the measure of the angel. n=_°

Answers

Answer:

n = 25°

Step-by-step explanation:

All interior angles of a triangle add up to 180°. We already know one of the angles is 90°, so we can build an equation:

90 + (n + 40) + n = 180.

Then we combine like-terms and subtract:

130 + 2n = 180,

2n = 50.

Then we divide by 2 to get our answer:

n = 25.

To double check, we insert 25 as our value:

90 + (40 + 25) + 25 = 180.

p/3=5 please i need help on this one as well

Answers

Answer:

if p/5=3 then the answer is p=15

Step-by-step explanation:

the first step is to isolate the variable and this is done by multiplying both sides by 5

the result of this is p= 5 times 3 which equals 15

In the proportionm 1/Z 4/5/8 which number is equal to Z in the proportion?

Answers

Answer:

Z = 8

Step-by-step explanation:

4 5/8 = 37/8

1/Z = 37/8

So..

Z = 8

Hope this helps! :)

Consider functions f and g below. [tex]g(x) = -x^{2} + 2x + 4[/tex] Which of the following statements is true? A. As x approaches infinity, the values of f(x) and g(x) both approach infinity. B. As x approaches infinity, the values of f(x) and g(x) both approach negative infinity. C. As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. D. As x approaches infinity, the value of f(x) approaches negative infinity and the value of g(x) approaches infinity.

Answers

As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. Then the correct option is C.

What is the parabola?

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

Where a is the leading coefficient.

Consider functions f and g below.  

g(x) = –x² + 2x + 4

The function can be written as

g(x) = –(x – 1)² + 5

As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity.

Then the correct option is C.

More about the parabola link is given below.

https://brainly.com/question/8495504

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What is the value of a?

Answers

Answer:

6sqrt(2)

Step-by-step explanation:

Use the right angle altitude theorem.

4/a = a/18

a^2 = 4 * 18

a^2 = 2 * 36

a = 6sqrt(2)

A=6sqrt(2) hope it helped

what is pi rounded to the nearest 15th

Answers

Answer:

3.1415926535 8979

Step-by-step explanation:

bruh just search it in google

The degree of the polynomial function f(x) is 4. The roots of the equation f(x)=0 are −2, −1, 1 and 3.

Answers

Answer:

f(x) = x^4 - x^3 - 7x^2 + x + 6

Step-by-step explanation:

Please, always share the instructions with every question you post.  I am assuming that you are to write out the factors corresponding to the given roots, thus constructing a 4th degree polynomial, and then performng the multiplication necesssary to produce that polynomial with terms in descending order by power of x.  Note that there must be 5 such terms.

f(x) = (x + 2)(x + 1)(x - 1)(x - 3)

Multiplying this out, we get:  

f(x) = (x + 2)(x^2 - 1)(x - 3), or

f(x) =      (x^3 - x + 2x^2 - 2)(x - 3), or:

f(x) = (x^3 + 2x^2 - x - 2)(x - 3), or:

f(x) = x^4 + 2x^3 - x^2 - 2x - 3x^3 - 6x^2 + 3x + 6

Combining like terms, we get:

f(x) = x^4 - x^3 - 7x^2 + x + 6

Note that because this is a 4th degree polynomial, the end behavior resembles that of the graph of y = x^4.  As x increases, y initially decreases in Quadrant II, passes through the y-intercept (0, 6), and then increases without bound in Quadrant I.

The question and pic is on the picture I took a picture of

Answers

Answer:

m<y = 155

Step-by-step explanation:

If m<x = 155, then m<y = 155 (Because vertically opposite angles are congruent)

Answer:

155°

Step-by-step explanation:

The two angles are a pair of vertically opposite angles.

Verticall opposite angles are opposite to each other and are equal.

Angle x = Angle y

155 = 155

Need help finding the missing length to the attached triangle.

Answers

Answer:

1500

Step-by-step explanation:

Let the length of the perpendicular dropped from the right angle to the hypotenuse be h units.

Now by geometric mean property:

[tex]h = \sqrt{1600 \times 900} \\ h = 40 \times 30 \\ h = 1200 \: units \\ Next \: by \: Pythagoras \: Theorem: \\ {x}^{2} = {h}^{2} + {900}^{2} \\ {x}^{2} = {1200}^{2} + {900}^{2} \\ {x}^{2} = 1440000 + 810000 \\ {x}^{2} = 2,250,000 \\ x = \sqrt{2,250,000} \\ \huge \red{ \boxed{x = 1500\: units }}[/tex]

Answer:

1500

Step-by-step explanation:

Use the right triangle altitude theorem.

x/900 = 2500/x

x^2 = 900 * 2500

x = sqrt(900 * 2500)

x = 30 * 50

x = 1500

There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can we choose a Senator from a chosen state?

Answers

Answer:

  2

Step-by-step explanation:

A state has 2 senators, so once you choose the state, there are 2 ways you can choose a senator from that state.

Rohit visited a pumpkin patch with his family. The table shows the relationship between the weight and price of a pumpkin.

A table titled Pumpkin Patch Sales with two columns and six rows. The first column, Weight in pounds, has the entries, 4, 8, 12, 16, 20. The second column, Price in dollars, has the entries, 6, 12, 18, 24, 30.

Which statement describes the slope of a graph of the data?

For each additional pound, the price increases $0.50.
For each additional pound, the price increases $1.50.
For every additional dollar, the pumpkin can increase by 1.5 pounds.
For every additional dollar, the pumpkin can increase by 0.5 pounds.

Answers

Answer:

For each additional pound, the price increases $1.50.

Step-by-step explanation:

Lets find the slope of the graph of othe given data.

Let x be the weight of pumpkin in pounds

Let y be the price of the pumpkin in dollars.

For 4 pound pumpkin the price is 6 dollars, so first point is (4,6)

For 8 pound pumpkin the price is 12 dollars, so first point is (8,12)

Find the slope between these points

m = y₂ - y₁ / x₂ - x₁

m = 12 - 6 / 8 -4

m = 6/4

m = 1.5

Which means that for every pound increase in weight, the price of pumpkin increases by 1.5 dollars

Answer:

B

Step-by-step explanation:

To fill up a car with 16 gallons cost $30.24. Which of the following is an equation that determines the
cost c for g gallons of gas?

Answers

Answer:

30.24/16= $1.89 per gallon = c/g

Step-by-step explanation:

c = $30.24

g = 16

Divide c/g

Answer:

g gallon = $1.89 g

Step-by-step explanation:

Gallon = g

16 gallons = 16 g

Cost = $30.24

So,

16 gallons = $30.24

1 gallon = $30.24/16

1 gallon = $1.89

g gallon = $1.89 g

Zack's science class is learning about ways to find the volume of irregularly-shaped objects. For his first experiment, Zack finds that a small marble statue weighs 1.3 kilograms. Then, he uses its density to find its volume in liters. If the density of marble is approximately 2.6 grams per milliliter, what is the volume of Zack's statue?

Answers

Answer:

The volume of the small marble is 500ml or 0.5 liters  

Step-by-step explanation:

Mass of the small marble = 1.3kg

Convert it into grams

Mass of the small marble = 1300 grams

Density of the small marble = 2.6 grams/ml

Volume of the small marble = ?

The formula for density is given as:

Density = Mass / Volume

Where we need to find the volume, so rearrange the equation with respect to Volume.

Volume = Mass / Density

Volume = 1300 (grams) / 2.6 (grams/ml)

Volume = 500 ml

Thus, the volume of the small marble is 500ml or 0.5 liters  

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Which of the following is the SLE for this scenario? a) $2 Millionb) $1 Millionc) $500,000 d) $33,333.33 PLEASE HURRYY!!Which societal issue sparked the conversation movement in the United States? Alcohol abuseIndustrial growth Education reform Tenement neglect Which equation represents the line passing through points A and C on the graph below? On a coordinate plane, point A is at (2, 3), point B is at (negative 2, 1), point C is at (negative 4, negative 3), and point D is at (4, negative 5). y= negative x minus 1 y = negative x + 1 y = x minus 1 y = x + 1 Find the number of 4-digit numbers that contain at least three even digits. 14. Which graph shows the solution to the following system?1-x-2y -47y = -x + 4 Write a paragraph arguing your opinion on a controversial topic. Make sure to use factual information to suppport your opinion, and conclude with why you feel the way that you do?? 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