The sum of three consecutive odd numbers is 153 find the number ​

Answers

Answer 1

Answer:

Divide the no. by three

Step-by-step explanation:

153÷3 = 51

so, 51+51+51 = 153

Answer 2

Answer:

an odd number can be expressed as 2n+1 (2n would be even, add 1 = odd)

first number = 2n+1

second number = 2n+3 -> skip + 2 because it would make it even

third number = 2n+5

2n+1+2n+3+2n+5=153

6n+9=153

6n=144

n=24

24*2+1=48+1=49

24*2+3=48+3=51

24*2+5=48+5=53

the numbers are 49, 51, and 53.


Related Questions

Solve four ninths minus four tenths equals blank.

Answers

Answer:

2/45

Step-by-step explanation:

Rebah and her twin brother are planning a birthday party at Pizza Pete's. There is a S64.75 charge to reserve a party room plus $4.95 per person charge for lunch
Explain how to find the greatest number of people that can attend the party for $175.00. Show your work, and state the number of people.
QUICKKK PLZZ

Answers

Answer:

22 people

Step-by-step explanation:

Step 1: I first subtracted $64.75 from $175.00 so that I knew how much would be leftover after the charge of the room, because you can't count that cost. When I did this, I got $110.25. So then I knew how much was paid other then for the room.

Step 2: I then divided $110.25 by $4.95, so I would get the amount of people who went to the party, since each person costs $4.95. When I divided, I got 22.

So that would be my answer. I hope that helps. :)

What type of angles are these?

Answers

Answer:

7. Consecutive Interior Angles that are Supplementary

8. Alternate Exterior Angles that are Congruent

9. Alternate Exterior Angles that are Congruent

10. Alternate Exterior Angles that are Congruent

11. Same Side Exterior Angles that are Supplementary

12. Consecutive Interior Angles that are Supplementary

Step-by-step explanation:

Not sure if I even got them in the correct order, my apologies. The picture provided was a bit hard to read.

Correct me if I am incorrect.

Please help me on this math problem

Answers

We know the first term is 16, because f(1) = 16. Next, we can use the recursive rule provided. f(3)=1/2*f(3-1). This gives us f(3)=1/2*f(2). We know f(2) is 8. We know have f(3)=1/2*8. This is 4.

The answer is 16, 4.

help pls please hmmmm​

Answers

Ok done. Thank to me :>

HELP PLEASE IS IMPORTANT!
Solve the equation by using the Quadratic Formula.
2x 92-5

Answers

See attachment for answer and math work.

y = {x-5?
Which equation describes a line parallel to the line described by y-
Your answer:
o y=-2x
o y=-3x+1
oy
-
Oy - 2x - 5
Clear answer
Back
NEW

Answers

Answer:

The third option, 1/2..

NEED ANSWER QUICKLY PLEASE

Answers

(3x -11) + 44 + (4x-7) = 180

3x - 11 + 44 + 4x - 7 = 180 like terms

7x +26 = 180

7x = 154

X = 22

Angle 1
3(22) -11
55
Angle 2
4(22) -7
81
So the largest angle is 81 degrees!

Hope this helps!
Brainliest is much appreciated!

Find the degree of this polynomial

z − 2

Answers

Answer:

1

Step-by-step explanation:

WILL GIVE BRAINLIEST! Given: ∆ABC, AB =√2. M ∈ AC, AM = 1. BM = 1, BC = 2. Find: m∠ABC

Answers

The measurement  of ∠ ABC in  [tex]\triangle ABC[/tex], When AB =√2,  AM = 1. BM = 1, BC = 2 will be [tex](\cos^{-1}{5)[/tex].

The measures of angle ∠ ABC can be calculated as:

The Law of Cosines, states that:

[tex]c^2 = a^2+ b^2 - 2ab \cos (C)[/tex]

Where, c is the side opposite angle C, and a and b are the other two sides of the triangle.

The sides of ∆ ABC will be :

AB = [tex]\sqrt{2}[/tex] (given)

BC = 2 (given)

[tex]AC = 1 + \sqrt{MC}[/tex]

∆ ABC is a triangle and according to the triangle inequality theorem,  the  The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So:

BC+AB > AC

[tex]2+\sqrt 2 > 1 + {\overline{MC}}[/tex]

[tex]\sqrt 2 +1 > \overline{MC}[/tex]

The law of cosines for [tex]\angle ABC[/tex] can be calculated as:

[tex]{BC}^2 = {AB}^2 + {AC}^2 - 2.AB.AC.cos(\angle ABC)[/tex]

The values can be obtained by the substitution.

[tex]2^2 = (\sqrt2)^2 + (1+{\overline {MC)}^2 - 2.\sqrt2 > (1 +{\overline{MC}).cos (\angle ABC)[/tex]

[tex]4 = 3 +2.\overline{MC} + \overline{(MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]

This can be simplified as:

[tex]0 = 3 + 2.\overline{MC} + \overline{MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]

The value of [tex]\overline{MC}[/tex] can be calculated as:

[tex]\sqrt 2+1 > \overline{MC}[/tex]

Substitute the value in the equation,

[tex]0 = 3+2.(\sqrt2+1) + (\sqrt2+1)^2 - 2.\sqrt2. (1+ \sqrt2+ 1).cos (\angle ABC)[/tex]

[tex]0 = 3+2 \sqrt2+4+2\sqrt2+1-2\sqrt2-2-2\sqrt2-2\sqrt2- 2.cos (\angle ABC)[/tex]

[tex]0 = 10 - 2.cos (\angle ABC)[/tex]

Thus, the value of cos [tex](\angle ABC)[/tex]  is calculated as:

[tex]cos (\angle ABC) = \dfrac{10}{2}[/tex]

[tex]cos(\angle ABC) = 5[/tex]

Thus, the value of[tex](\angle ABC)[/tex] is [tex](\cos^{-1}{5)[/tex].

Learn more about angles here:

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What is the exact value of sin(-5 π/3)

Answers

Answer:

√3/2 is the correct answer. I hope this helps ^^

Step-by-step explanation:

Are the equations m+3=-5 and m-4=-12$ equivalent?

Answers

Answer:

Yes They Are Equivalent

Step-by-step explanation:

I checked by multiplying them.

Answer: yes, because they both equal x= -8

Step-by-step explanation:

m= -5 -3

calculate

= -8

m= -12+4

calculate

m= - 8

Select the correct answer.

You're trying to determine how much money it would cost to hire a lawn mowing company to cut your grass. Your yard

measures 8,712 square feet. The lawn mowing company charges a base rate of $30, plus $20 for every tenth of an

acre. You determine that it will cost $70 to hire the lawn mowing company. Which sentence best describes this price

estimate?

A. The price should be $50 because you have a 0.1 acre yard.

B. The price should be $50 because you have a 0.2 acre yard.

C. The price should be $90 because you have a 0.3 acre yard.

D.

The price estimate is accurate,

Answers

It’s B because C is too much and A is to little for the correct answer

A 4-oz. filet of salmon contains 500 mg of potassium. The daily recommended amount of potassium is 3,500 mg. If you ate a 6-oz. filet of salmon, what percent of your daily value did you eat of potassium?

A. 21%
B. 15%
C. 25%
D. 12%

Answers

The answer is 21% because a 6-oz fillet of salmon contains about 750 mg of potassium. 3500-750 equals 2750, meaning that whichever percent closest to that answer is correct. 3500 - 21% = 2760 which is the closest number to the correct percentage therefore A. Is the answer.

The Kicking Cacti and the Sprinting Stingrays met in their town's annual kickball
championship this year. They were so evenly matched that the game lasted 11 innings! The
Stingrays had 3 pitchers, and each of them pitched for the same number of innings.
How long did each of the pitchers for the Stingrays pitch?
Write your answer as a proper fraction or mixed number.
innings

Answers

Using proportions, it is found that each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.

This question is solved by proportions, using a rule of three.In total, the Stingrays pitched 11 innings, with 3 pitchers. Each pitcher pitched the same amount of innings, hence, 1 pitcher pitched x innings.

The rule of three is:

3 pitchers - 11 innings

1 pitcher - x innings

Applying cross multiplication:

[tex]3x = 11[/tex]

[tex]x = \frac{11}{3}[/tex]

11 divided by 3 has result 3 with remainder 2, hence, also considering the answer as a mixed number:

Each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.

You can learn more about proportions at https://brainly.com/question/24372153

Help help help help math math

Answers

Answer:

A = 192

Step-by-step explanation:

3 x 8^2

3 x 64 = 192

If f(x) = 3 ^ x - 7 and g(x) = x ^ 2 + 11 , the value of f(2) - g(7) is:

Answers

Answer:

The value of [tex]f(2) - g(7)=-58[/tex]

Step-by-step explanation:

We have

[tex]f(x) = 3 ^ x - 7\\\\f(2) = 3 ^ 2 - 7\\\\=9-7\\\\=2\\\\g(x) = x ^ 2 + 11\\\\g(7) = 7 ^ 2 + 11\\\\=49+11\\\\=60\\\\f(2) - g(7)=2-60\\\\=-58[/tex]

Describe the following change as both an absolute change in terms of Percentage Points, and as a relative change in terms of a percentage.

The annual interest rate for Jack's savings account increased from 2.3% to 2.8%.

Answers

Answer:

0.5%

Step-by-step explanation:

42 is the product of 6 and y. Solve for y

Answers

Answer:

y=7

Step-by-step explanation:

42/6=7

Answer:

y =7 iits divided

Step-by-step explanation:

y =6/42

y= 7

Factors that are greater than 1/2 but less than one

Answers

6/8

Step-by-step explanation:

1/2 = 0.5

6/8 = 0.75

therefore, 0.75 > 0.5

Please help me on this math problem

Answers

We can use the formula y2-y1/x2-x1 to find our slope. When we plug in our numbers, we get 5-(-1)/0-2. This gives us 6/-2. The slope is -3.

I need help with this math help please!

Answers

Answer: R= 7

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf t = 7}[/tex]

Step-by-step explanation:

-8 (4 - t) = 24

-32 + 8t = 24

Add 32 to both sides

8t = 24 + 32

8t = 56

Divide both sides by 8

t = 7

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

I really need help! Please, please, PLEASE do not give me a link.


Last year, Kristen read a total of 30 fiction and non-fiction books. The number of non-fiction books was 5 less than 4 times the number of fiction books.

What is the total number of FICTION books that Kristen read last year?

A. 5
B. 7
C. 23
D. 25

Answers

Answer:

7 fiction and 23 non- fiction

Step-by-step explanation:

The number of non-fiction read was 5 less than 4 times the number of fiction books.

Assume fiction books are x.

An equation representing this would be:

x + (4x - 5) = 30

5x - 5 = 30

5x = 30 + 5

x = 35 / 5

x = 7 fiction books

Non-fiction books:

= 4x - 5

= 4 * 7 - 5

= 23 non - fiction books

Let f(x) = 2(x − 1)² + 3 and h(x) = -f(x+3) - 1

Write h in terms of x

Answers

f(x+3)

[tex]\\ \sf\Rrightarrow 2(x+3-1)^2+3[/tex]

[tex]\\ \sf\Rrightarrow 2(x+2)^2+3[/tex]

[tex]\\ \sf\Rrightarrow 2(x^2+4x+4)+3[/tex]

[tex]\\ \sf\Rrightarrow 4x^2+8x+8+3[/tex]

[tex]\\ \sf\Rrightarrow 4x^2+8x+11[/tex]

Now

[tex]\\ \sf\Rrightarrow h(x)[/tex]

[tex]\\ \sf\Rrightarrow -f(x+3)-1[/tex]

[tex]\\ \sf\Rrightarrow -4x^2-8x-11-1[/tex]

[tex]\\ \sf\Rrightarrow -4x^2-8x-12[/tex]

[tex]\\ \sf\Rrightarrow 4(-x^2-2x-3)[/tex]

someone should help me with this question

Answers

Answer:

option c.)

Step-by-step explanation:

m∠1 + m∠3 = 180°

Select the correct answer from each drop-down menu.
Consider this expression.
9/4x2 - 12x + 7x/x^2 - 9
The least common denominator of the two rational terms is ( )( )( )

Answers

The answer is in the image attached. I hope it is helpful.

The least common denominator of two given rational expression are   4x, (x-3) and (x+3).

What is the least common denominator of two rational terms?

The factored denominator of two rational terms are called least common denominator of two rational numbers.

How to find the least common denominator of two rational terms?

To find the least common denominator of two rational terms, we factor the expression and multiply all the distinct factors.

According to the given question

We have two rational expressions

[tex]\frac{9}{4x^{2} -12x}[/tex] and [tex]\frac{7x}{x^{2} -9}[/tex]

Now let's factorize the denominators

[tex]4x^{2} -12x =4x(x-3)[/tex]

and, [tex]x^{2} -9=(x+3)(x-3)[/tex]

Therefore,

[tex]\frac{9}{4x^{2} -12x}+\frac{7x}{x^{2} -9}[/tex]

⇒[tex]\frac{9}{4x(x-3)} +\frac{7x}{(x-3)(x+3)}[/tex]

⇒[tex]\frac{9(x+3)+7x(4x)}{4x(x-3)(x+3)}[/tex]

Therefore, the least common denominator of two given rational expression are   4x, (x-3) and (x+3).

Learn more about least common denominator of two rational expression here:

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Evaluate 6/8×4/5 Give your answer in its simplest form.

Answers

Answer: 3/8

Step-by-step explanation:

Answer:

your answer is

its 3.5

deacrease 250 by 15%

Answers

Answer:

212.5

Step-by-step explanation:

which multiplication can be used to explain the solution to 15 divided by one over 3

Answers

Answer:

3x5=15

5x3=15

Step-by-step explanation:

Plz help. Question on the picture

Answers

Answer: There is no picture.

Step-by-step explanation:

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