Determine three consecutive odd integers whose sum is 2097.

Answers

Answer 1

Answer:

first odd integer=x

second odd integer=x+2

third odd integer=x+4

x+x+2+x+4=2097

x+x+x+2+4=2097

3x+6=2097

3x=2097-6

3x=2091

3x/3=2091/3

x=697

therefore, x=697

x+2=697+2=699

x+4=697+4=701


Related Questions

-32=8n I need help please

Answers

Answer:

n = -4

Step-by-step explanation:

-32=8n

Divide each side by 8

-32/8 = 8n/8

-4 = n

A N S W E R :

- 32 = 8n

Cross multiplying we get

n = -32/8

n = -4

Henceforth, the required solution is -4

Place in order in from largest to smallest:
0.204, 0.04, 0.24, 0.42, 0.024

Answers

Answer:

0.42, 0.24, 0.204, 0.04, 0.024

Step-by-step explanation:

Apples are cut into 8 pieces to be shared among some children. Twenty-two bags of seven apples are used. How many pieces of apple are cut?

Answers

Answer: 1232 pieces

Work Shown:

1 bag = 7 apples

22 bags = 22*7 = 154 apples

So we have 154 apples to work with in total.

Each of those apples is cut into 8 pieces, giving us 8*154 = 1232 pieces

We can write it as one single calculation to say 22*7*8 = 1232

Multiply
(5a-2a)(7a-3b)
Simplify your answer

Answers

Answer:

21a² - 9ab

Step-by-step explanation:

(5a-2a)(7a-3b)

35a² - 15ab - 14a² + 6ab

35a² - 14a² - 15ab + 6ab

21a² - 9ab

Simultaneous equation 2x-Y= -1 x-2y=4​

Answers

Answer:

x + y = -5

Step-by-step explanation:

2x - x - y + 2y = -1 - 4

x + y = -5

Three pieces of wood measure 20 cm, 41 cm, 44 cm. If the same amount is cut off each piece, the remaining length can be formed into a right triangle. What is the length that is cut off?

Answers

The length that can be cut off from the three given pieces of wood equally to form a right triangle is 5 cm

Given parameters:

dimension of the three pieces of wood = 20 cm, 41 cm and 44 cm

To find:

the length that is cut off to form a right triangle

let the length that is cut off from each of the wood = y

From Pythagoras theorem, we will have the following equation.

[tex](44-y)^2 = (20-y)^2 + (41-y)^2\\\\expand \ the \ equation \ as \ follows;\\\\1936 - 88y + y^2 = 400 - 40y + y^2 + 1681 - 82y + y^2\\\\simplify \ by \ collecting \ similar \ terms \ together\\\\(1936 - 400- 1681) + (-88y + 40y+ 82y) + (y^2 - 2y^2) = 0\\\\-145 +34y - y^2 = 0\\\\multiply \ through \ by \ (-1)\\\\y^2-34y + 145 = 0\\\\factorize \ the \ above \ quadratic\ equation\\\\y^2 -5y - 29y + 145 = 0\\\\y(y - 5) -29(y - 5)=0 \\\\(y -5)(y-29) = 0\\\\y = 5 \ \ \ or \ \ \ \ y = 29[/tex]

Since the least measurement of one of the pieces of the wood is 20 cm, we cannot cut off 29 cm.

Thus, the highest amount we can cut off equally is 5 cm

learn more here: https://brainly.com/question/15808950

If the campers at Camp Grilled Meat prefer hot dogs to hamburgers by a ratio of 4:3, and they need 500 hot dogs, how many hamburgers will they need?

Answers

Step-by-step explanation:

jsndmdmsmsnananansndbdbnd

Suppose 100 users of a social networking site are chosen for a sample, but
only 25 respond. What is this an example of?

A. Response bias
B. Nonselection bias
O C. Selection bias
D. Nonresponse bias

Answers

Answer:

i think its d

Step-by-step explanation:

Answer: C

Step-by-step explanation:

i need help anybody ?

Answers

Answer and Step-by-step explanation:

Simply use the Pythagorean Theorem to solve.

The Pythagorean Theorem is used to solve for a side in right triangles.

[tex]A^{2} +B^{2}= C^{2}[/tex]

Plug the sides values into the equation.

[tex]A^{2} + 13^2 = 20^2\\\\A^2 + 169 = 400\\\\A^2 = 231\\\\A = 15.1987[/tex]<- This is the answer.

#teamtrees #PAW (Plant And Water)

Which is the graph of y = [x]-2?

PLEASE HELP TIMED PLEASE

Answers

Answer:

3rd graph

Step-by-step explanation:

the sum of two numbers is 63. one ninth of the first number plus one sixth of the second number is 21. find the numbers

Answers

Answer: x= -189, y =252

Step-by-step explanation:

Let the first number be x and second number be y

so

x + y = 63

x = 63-y

now

1/9 of x + 1/6 of y = 21

x/9 + y/6 = 21

substituting x's value from equation i

(63-y)/9 + y/6 = 21

(378-6y+9y)/54 = 21

378+3y = 1134

3y = 1134-378

so, 3y = 756

so, y = 756/3

so, y = 252

now

x = 63-252

so, x = -189

Someone plz round 6.675 to the nearest hundredth

Answers

Answer:

6.68

Step-by-step explanation:

To round 6.675 to the nearest hundredth consider the thousandths’ value of 6.675, which is 5. Therefore, the hundredths value of 6.675 increases by 1 to 8.

6.675 rounded to the nearest hundredth = 6.68

C={X:X is even number X less than n equal to 7}

Answers

Answer:

ok

Step-by-step explanation:

ok

Graph the solution set to this inequality 3x - 11 > 7 x + 9

Answers

Answer:

-5 > x

Step-by-step explanation:

3x-11 > 7x+9

-20 > 4x

-5 > x

Given f(x)=6x+2, find f(x+3).

Answers

Answer:

f(x+3) is 6x + 20

Step-by-step explanation:

[tex]{ \sf{f(x) = 6x + 2}} \\ { \sf{f(x + 3) = 6(x + 3) + 2}} \\ = { \sf{6x + 20}}[/tex]

COULD A KIND SOUL PLEASE HELP ME OUT???!!!!!!

Determine the measure of x in the figure below.

show how you go the answer so I can see if it makes sense!!!

Answers

Answer:

138

Step-by-step explanation:

x is an exterior angle of a triangle.

If you didn't know, an exterior angle of a triangle is equal to the sum of its opposite interior angles.

The opposite interior angles of x have measures of 80 degrees and 58 degrees.

Hence, x = 80 + 58 = 138

Answer:

138

80+58 = 138

180 - 138 = 42

42+x = 180

x = 180-42 = 138

Step-by-step explanation:

Use the provided graph to write the vertex form equation of the parabola.

Answers

Answer:

(x-6)^2+y=3

Step-by-step explanation:

The vortex of the parabola is (6,3). So the vertex equation is (x-6)^2+y=3

Please help. TIMED! (15 pts)
Use the following data to calculate the curve of the best-fit.

Answers

Answer:

y = 0.4x^2 + 3.4x + 4

Step-by-step explanation:

The coordinates (-5,-3) work with this equation. Please give brainliest, I need 1 more to move on to the next tier.

Answer:

2nd option

Step-by-step explanation:

putting x = 1 in the 3rd option,

0.4+3.4+4 = 7.8

A circle has a radius of 11m . Find the radian measure of the central angle that intercepts an arc of length 6 m .

Answers

Answer:

Step-by-step explanation:

θ=l/r

θ=6/11 radians

≈0.555... radians

Yesterday the temperature was -7°C. Today it is 8°C. In degrees Celsius, what is the change in
temperature?

Answers

Answer:

cold to hot hope it helps

Math problem. If answered correct will give brainliest
Please answer :)

Answers

Answer:

Step-by-step explanation:

45n = (9 x 25) + 4 + (2x4)

45n = 225 + 4 + 8

45n/45 = 237/45

n = 5.26666...7

exactly 5.26666...7 buses would be needed.

realistically 6 buses are needed, as you cannot have part of a bus operating like a normal one

the exact answer can be classified as a rational number as it can represent a fraction.

18. what is the equation of the line that passes through…

Answers

Answer:

Step-by-step explanation:

( - 3, - 1 )

m = [tex]\frac{2}{5}[/tex]

y - ( - 1 ) = [tex]\frac{2}{5}[/tex] ( x - ( - 3 ))

y + 1 = [tex]\frac{2}{5}[/tex] x + [tex]\frac{6}{5}[/tex]

y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{1}{5}[/tex]

The coldest place is in Utah is Middlesink,near Logan.One day the temperature there was -17 degrees.You drive from Middlesink to salt lake where the temperature is 30 degrees.What is the change in temperature?
Explain.

Answers

Answer:

47 degrees

Step-by-step explanation:

The number system goes from negative numbers, to zero, to positive numbers. To get to zero from a negative number, you add the positive version of your number to get to zero. In this case we have to add 17 to get to zero. So our answer is 30+17. Because once we get to zero, we know there is 30 degress to get to the temp in Middlesink. So it is a 47 degree change.

Answer:47 degrees


Step-by-step explanation: The difference between the two is 47 degrees. The equation is 30-(-17).When you subtract a negative it's really the same as adding.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is incorrect about the data set that includes 1,2,3,4,5,6,7?
A. The data set has no mode
B. The data set has a second quartile of 6
C. The data set has the same mean and median
D. The data set has an interquartile range of 4

Answers

Answer:

b or d

Step-by-step explanation:

igxgkztjsy,hfzfjzitzgmzfjztzutzjvahfzgkzjrJt

Answer:

A

Step-by-step explanation:

A mode is the value that appears most frequently in the data set because there is not more than one of any number the data set has no mode.

a piece of work can be done by 24 men in 15 days.in how many days can 18 men do the same work?​

Answers

18 people is 25% less people so will take 25% longer

25% of 15 is 3.75

3.75+ 15 = 18.75 days ?

a^n = 5, 10, 15, 20, 25…
A1=

Answers

Answer:

a1 =5

Step-by-step explanation:

an = 5,10,15,20,25......

a1 is the first term

a1 =5

Х
32°
X =
degrees.
please

Answers

Answer:

58

Step-by-step explanation:

90+32= 122

180-122=58

Answer:

X = 122°

Step-by-step explanation:

A triangle has 180 degrees total in it. You need the degree next to the x in order to solve.

32° + 90° = 122°

180° - 122° = 58°

The line is 180°.

180° - 58° = 122°

So x - 122°

Sorry if this was hard to understand but I hope I helped :)

The value of G for a one-piece 30° x 60° angle iron bracket is 1'/4 inches, and the width of the angle iron is 2 inches. What is the thickness of the metal, in inches? A. 31/4 inches B. 3/4 inch C. 21/2 inches D. 1/4 inch

Answers

Answerb

Step-by-step explanation:

yeal

the prouduct of any two irrational number is​

Answers

Answer:

mostly rational but sometimes irrational

The product of any two irrational number can be rational or irrational depending on the two numbers.

please help me is for my homework​

Answers

Answer:

13/50

Step-by-step explanation:

Answer:

26/100

Method:

Fractions are much like percents, as they are both out of 100. The 26% is 26%/100% (26/100)

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