The sum of three consecutive integers is 180. What is the largest integer?

Answers

Answer 1

Answer:

61

Step-by-step explanation:

Here's a neat trick when you have an odd number of consecutive numbers.

Call the middle number k

Then the smaller number is k-1

The larger number is k + 1

The two ones will cancel.

k-1 + k + k-1 = 180

3k = 180

k = 180/3

k = 60

Therefore the largest number is k + 1 = 60 + 1 =61


Related Questions

help please! Will mark you as Brainliest!

Answers

Answer:

21

Step-by-step explanation:

A survey was given to 277 people asking whether people like dogs and/or cats. 126 said they like dogs 112 said they like cats 90 said they don't like cats or dogs. How many said they liked both cats and dogs?

Answers

51 people said they like both cats and dogs.

Explanation:

277-90= 187
112+126=238
238-187=51

which ratio is less then 15/24 a.1/2 b.7/8 c. 19/24 d. 6/8

Answers

Answer:

A. 1/2

Step-by-step explanation:

So 15/24 = 0.625

therefore you need to convert all the fractions into decimals and determine which decimal is less than 0.625

a) 0.5 ------ding ding ding correct answer :)

b) 0.875

c) 0.79

d) 0.75

If this helped, please don't forget to give me brainliest!

the correct answer is A

Given: <1 and <2 are supplementary, and <2 and <3 are supplementary. Prove: <1 is congruent to <3

Answers

Step-by-step explanation:

If ∠1 and ∠2 are supplementary, then m∠1 + m∠2 = 180° (1).

If ∠2 and ∠3 are supplementary, then m∠2 + m∠3 = 180° (2).

From (1) we have

m∠1 + m∠2 = 180°           /subtract m∠1 from both sides

m∠2 = 180° - m∠1

substitute it to (2)

(180° - m∠1) + m∠3 = 180°

180° - m∠1 + m∠3 = 180°     /subtract 180° from both sides

- m∠1 + m∠3 = 0        /add m∠1 to both sides

m∠3 = m∠1 ⇒ m∠1 = m∠3 ⇒ ∠1 ≅ ∠3

Suppose your SAT score is 1180. You look up the average SAT scores for

students admitted to your preferred colleges and find the list of scores below.

Based on your SAT score of 1180, which average score below represents the

college that would be your best option?

A. 1030

B. 1470

C. 1190

D. 900

Answers

Answer:

1190

Step-by-step explanation:

Are the functions inverses? Why or why not?

Answers

Answer:

The answer is not an inverse function.

Step-by-step explanation:

The inverse function does not reverse. In other words,  f(x) = x-5/10 and h(x) =10x+5 does not mirror.

PLEASE HURRY


which expression is equivalent to -3 + (7x+13)

Answers

I think it’s 7x plus -4x which equals -3 then u would do 2 plus -7 which equals-5 so it will be positive 8 I think I do t really know I tried

Answer: [tex]7x+10[/tex]

Step-by-step explanation:

Combine the terms;

[tex]-3+7x+13\\(7x)+(-3+13)\\7x+10[/tex]

A point on a pre-image is G(5, -2). If its image has coordinates G'(2, 1), what was the translation? (x - 3, y - 3) (x + 3, y - 3) (x - 3, y + 3) (x + 3, y + 3)

Answers

Answer:

(x - 3, y + 3 )

Step-by-step explanation:

Note G(5, - 2 ) → G'(2, 1 )

Requires 3 to be subtracted from 5 to obtain 2 and 3 to be added to - 2 to obtain 1, thus

(x, y ) → (x - 3, y + 3 ) is the translation rule

Answer:

the answer is (x - 3, y + 3 )

Step-by-step explanation:

hope this helps

An atom that becomes positively charged due to the loss of one or more electrons is referred to as a/an proton. cation. . base, ( anion.​

Answers

Answer:

cation.

right on the test, Mark brainlieste

Step-by-step explanation:

Answer: cation

Step-by-step explanation: an ion formed by the loss of one or more electrons becomes positively charged and is a positive ion, or cation


Solve the following system of equations using substitution:
2x - 2y + z = 8
-y+z=4
2z=4​

Answers

Answer:

Step-by-step explanation:

2z = 4

z = 2

-y + 2 = 4

-y = 2

y = -2

2x + 4 + 2 = 8

2x + 6 = 8

2x = 2

x = 1

(1, -2, 2)

4/5, √9, -0.95, √32/8, 2.9, - √6 PLEASE order from least to greatest

Answers

Answer:

-√6    -0.95    √32/8      4/5    2.9    √9

Step-by-step explanation:

4/5, √9, -0.95, √32/8, 2.9, - √6

4/5 = 0.8

√9 = 3

√32/8 = 4√2 / 8 = √2/2 = 0.707

-√6 = -2.449

-√6    -0.95    √32/8      4/5    2.9    √9

Jonas is planning out his route for an upcoming race. He uses negative numbers to represent points before the finish line and positive numbers to represent points after the finish line.




On Jonas's map, there is a bridge at -91 3/4 meters, and his wife is watching him at 14 1/2 meters.




What do 0 meters represent?

Answers

Answer:

The finish line

Step-by-step explanation:

This is because, since negative numbers are used to represent points before the finish line, and positive numbers are used to represent points after the finish line, the finish line can only be represented by the number zero. Since on Jonas' map, there is a bridge at -91 3/4 metres, therefore, the bridge is 91 3/4 metres before the finish line. And, since his wife is watching at 14 1/2 metres, since this number is positive, she is 14 1/2 metres after the finish line. So, the finish line itself, will be represented by 0 metres since this is indicated a change from negative to positive.

3(2x-4)=4(4x-1) can someone please help ?

Answers

Answer:

x=-4/5

Step-by-step explanation:

3(2x-4)=4(4x-1)

6x-12=16x-4

-10x=8

x=-8/10

x=-4/5

E is the midpoint of DF. If DE = 15x and DF = 31x -11, what is DF?

Answers

Step-by-step explanation:

(31x-11)-15x=DF

DF= 16x-11

Answer:

(31x-11)-15x=DF

DF= 16x-11

Step-by-step explanation:

It should be right

A pillow that usually costs $18 is marked down 25%. Use the table to find the pillow’s new price.

Answers

It would be 13.50 because 50% off of 18$ is 9$ but it’s not 50% off itS 25% off so If you take the 50% Off price of 9$ and add 4.50 (One more 1/4th) you get $13.50

whats the difference between a variable and a numeral

Answers

Answer:

a numerical variable is a variable where the measurement or number has an empirical meaning.

a variable is a category or a type

Answer:

A numerical variable is a variable where measurement or a number has a numerical meaning.

Square root !!!!!!!!

Answers

Answer:

hope this helped

Step-by-step explanation:

Step 1: Calculate. We calculate the square root of 50 to be: √50 = 7.07106781186548.

Step 2: Reduce. 7.07.

Step 3: Round. Round 7.07 so you only have one digit after the decimal point to get the answer: 7.1.

In division, does the big or small letter go first?

Answers

Answer:  Big number

Step-by-step explanation:

In division, does the big or small letter go first?

Answer:

In division, the big one go first.

Step-by-step explanation:

So, when you do division, you can put the big or small ones first but, preferably the big ones because it will be easier to solve the equation.

297,060 + 0.0004839 =

Answer in Scientific Notation

Answers

Answer:

2.970600004839 × 10^5

Step-by-step explanation:

First, we add up these 2 numbers.

297,060 + 0.0004839 = 297060.0004839

Then, we convert that into scientific notation.

297060.0004839 = 2.970600004839 × 10^5

Finally, we check if it's right.

10^5 = 100000

2.970600004839 * 100000 = 297060.0004839

Hope this helps.

The Key Club is selling personalized valentines to raise money.  The print shop charges $2 for each valentine, plus a flat rate of $10 for printing.  Write an equation to represent how many valentines the club can print with a budget of $125.​

Answers

the answer is 2x + 10 = 125

Answer:

2x + 10 = 125 is the answer

did it on edge

Step-by-step explanation:

Write the recurrence relation for the nth term which is defined by multiplying the prior term by 3 and subtracting 12.

Answers

Answer: Aₙ = 3*Aₙ₋₁ - 12

Step-by-step explanation:

Here our terms will be denoted as:

Aₙ

Where this is the n-th term of the sequence.

Now we have that the recurrence relation is defined by:

"by multiplying the prior term by 3 and subtracting 12."

Then we will have that:

Aₙ = 3*Aₙ₋₁ - 12

That is the equation to find all the terms in our sequence (remember that we need to know the initial term, A₀ in order to find all the other ones)

Find all x-intercepts and y-intercepts of the graph of the function . f(x) = - x ^ 3 + x ^ 2 + 12x If there is more than one answer, separate them with commas. Click on "None" if applicable.

Answers

Answer:

The y-intercept is (0,0)

The x-intercepts are (-3,0), (0,0), and (4,0)

Step-by-step explanation:

So we have the function:

[tex]f(x)=-x^3+x^2+12x[/tex]

And we want to solve for the x- and y-intercepts.

Y)

To solve for the y-intercept, recall that the y-intercept is when the graph touches the y-axis. At that point, the x values is 0. Thus, to find the x-intercept, substitute 0 for x:

[tex]f(x)=-(0)^3+(0)^2+12(0)[/tex]

Simplify:

[tex]f(x)=0[/tex]

So, the y-intercept is (0,0)

X)

To solve for the x-intercept(s), set the function equal to 0 and solve for x:

[tex]0=-x^3+x^2+12x[/tex]

First, factor out a negative x:

[tex]0=-x(x^2-x-12)[/tex]

Factor within the parentheses:

[tex]0=-x(x-4)(x+3)[/tex]

Zero Product Property:

[tex]-x=0\text{ or } x-4=0\text{ or } x+3=0[/tex]

Divide by -1 on the first one. Add 4 on the second one. And subtract 3 on the right:

[tex]x=0\text{ or } x=4\text{ or } x=-3[/tex]

So, our x-intercepts are:

[tex](-3,0), (0,0), (4,0)[/tex]

And we're done :)

Two consecutive EVEN numbers have a sum of 30. What are the numbers?

Answers

Answer:

14 and 16

Step-by-step explanation:

Consecutive even numbers are even numbers that follow each other from smallest to biggest for example 2,4,6,8 are consecutive even numbers. So the consecutive even numbers that have a sum of 30 are 14 and 16 (14+16=30).

HOPE IT HELPED

Joseph stated that 5/4 is a whole number because it does not repeat as a decimal. Is he correct? Why or Why Not?​

Answers

Answer:

It is not a whole number.

Step-by-step explanation:

5/4 is equals to 1.25

Therefore it is still a decimal and a fraction, NOT a whole number

HURRY HELP!
The formula B = 100 + 75m gives the balance (B) of a bank account after (m) months of saving. Solve for m and then use your solution to find the number of months you would need to save to have a balance of $700.

Answers

Answer:

8 Months

Step-by-step explanation:

The formula in the problem (B = 100 + 75m) can be written as this:

(B-100)/75 = M

The problem gives us the balance (B=700), which we can plug into our new formula to find the number of months (m).

(700-100)/75 = M

M = 8

I hope this helps!

-TheBusinessMan

This angle has all of the following names, except:



Answers

Answer:

its c. <vwx

Step-by-step explanation:

i got it right

What is the base of a triangle with an area of 207 in.² and a height of 18 inches

Answers

We just need to divide so we can find the base length of the triangle:

207 / 18 = 11.5

Therefore, the base length of the triangle is 11.5 inches.

Best of Luck!

Answer:

23 inches

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex] bh

207 = [tex]\frac{1}{2}[/tex] b x 18

[tex]\frac{207}{9}[/tex] = b

b = 23

Which of the following could be a rational number? A. the sum of two irrational numbers B. the product of two irrational numbers C. the sum of a rational number and an irrational number D. the product of a rational number and an irrational number​

Answers

Answer:

B. the product of two irrational numbers

Step-by-step explanation:

To be a rational number, we need to multiply two irrational numbers

An example would be

sqrt(2) * sqrt(2) = sqrt(4) = 2

Answer:

The product of two irrational numbers

Step-by-step explanation:

Which equation represents the line that passes
through the point (1,5) and has a slope of -2?
1) y = -2x + 7
2) y = -2x + 11
3) y = 2x-9
4) y = 2x + 3

Answers

Answer:

Step-by-step explanation:

y - 5 = -2(x - 1)

y - 5 = -2x + 2

y = -2x + 7

Option 1 is the answer

PLEASE HELP RIGHT AWAY: Set the left side of this equation equal to f(x) and the right side equal to g(x) . Then graph y=f(x) and y=g(x) on the same coordinate grid. (x+1)^2-2=2/x

Answers

Answer:

Step-by-step explanation:

heres the answer

Other Questions
9. Which job helps to create clementines? *(5 Points)Food inspectorGeneticist Farm WorkerLocal supplier A table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provided. input1234noutput11141720 Which is a correct statement about a study routine?A study routine and a study habit are the same thing.A study routine is good and effective.A study routine is a regular, repeated way to study.A study routine guarantees success. In order to be strategic when participating in the recruiting process, HR professionals must:______. What is the summary or what is cold equations about ? pls help me woth this answer ty Check all parts cultural geography RiversReligionHuman MigrationClimateAtmospherePolitical SystemsPopulationLandforms On a global level, the ____ industry is the largest supplier of jobs A Agricultural B Manufacturing C Marketing D Technology The proper temperature for cooking fat while deep-frying is 325- 375 degrees Fahrenheit A. 325- 375 B. 400- 500 C. 250- 350 D. 350- 450 How do the details that characterize hottah foreshadow the story ending Parker signed up for a streaming music service that costs $6 per month. The serviceallows Parker to listen to unlimited music, but if he wants to download songs foroffline listening, the service charges $0.50 per song. How much total money wouldParker have to pay in a month in which he downloaded 50 songs? How much wouldhe have to pay if he downloaded s songs? Expansion is usually considered a good thing. Why did expansion often promote problems in the American colonies? What happens to the number of coffee shops if the wages increase , what happens to the demand for employees for the coffee shops ? Fiddler crabs are invertebrates. That means they do not have a backbone (that's made out of vertebrae). Does this mean they don't have a skeleton? 30 POINTS! PLEASE ANSWER QUICK!!!When coding in html, do you put [tex][/tex] or [tex][/tex] first? Does it matter? The first nation in Europe to give all men the right to vote wasOA.RussiaOB.FranceO C.ItalyOD.Great Britain What are likely formulas for the following molecules?A) NH?OH.B) AlCl?.C) CF2Cl?.D) CH?O. HELPP me please? Its due today what type of doctor creates visual materials for students? I really don't get it plz help