Three consecutive integers have a sum of 87. Find the integers.

Answers

Answer 1

Answer:

28, 29, 30

Step-by-step explanation:

Let the integers be x- 1, x and x +1, then:

x - 1 + x + x + 1 = 873x = 87x = 29

The integers are 28, 29, 30

Answer 2

Answer:

Let the numbers be (x-1), x and (x+1)

According to the above problem,

[tex](x - 1) + x + (x + 1) = 87 \\ 3x = 87 \\ \boxed{x = 29}[/tex]

Therefore, the numbers are 28, 29 and 30.


Related Questions

What is the value of the expression?
2 (32 – (4 - 1)"

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I think the answer is 58 I’m not sure

slope is - 4 and the line passes through the point (1,3 )​

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Y = -4x + 7
This is the equation of the line. The slope is -4. The Y- intercept is 7

Is y=-1/3x+2. 2=y+1/3x

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Answer:

yes i think so

Step-by-step explanation:

pls help work is due tonight i will give brainliest

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Answer

the first one is the answer and none of the above

Step-by-step explanation:

Please help, I need some urgently

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Answer:

[tex] \angle DEC [/tex]

Step-by-step explanation:

[tex] \red{\bold {\angle DEC}} [/tex] is supplementary to[tex] \angle DEA [/tex]

Muriel says she has written a system of two linear
equations that has an infinite number of solutions. One
of the equations ofthe system is 3y = 2% - 9. Which
could be the other equation?

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

If the lines are identical, there must be an infinite number of solutions. In other words, they are the coordinate of all the points on that line.

It means the lines will be overlapping. Since lines will be overlapping, it means they are the same exact line.

Given the line

3y = 2x-9

As the system of equations has an infinite number of solutions, it means the lines must be identical.

So, the other line can be obtained by multiplying the line 3y = 2x-9 by any scalar number, let say by 2.

so

6y = 4x-18 will be another line.

Thus, the system of equations become:

3y = 2x-9

6y = 4x-18

The graph is attached below.

The graph indicates that both lines are overlapping with each other. Hence, the lines will be identical and the system of the equations will have an infinite number of solutions.

PLEASE PLEASE HELP ME!

Answers

Answer:

I don' t understand what you need help with

2x+3y=780
What is x?
What is y?

Answers

Answer:

x = 330 and y = 40

Step-by-step explanation:

The probability of drawing two green jacks from a bag at random without replacement is 227 .

The probability of drawing a green jack first is 27 .

What is the probability of drawing a second green jack, given that the first jack drawn was green?

4/189
10/189
7/27
68/189

Answers

Answer:

7/27 or C in other words.

Write the equation for the nth term that defines the sequence f(1) = 3, f(2) = 8, f(3) = 13, f(4) = 18, f(5) = 23

Answers

f(6)= 28, f(7)= 33, f(8)= 38, SO f(9)= 43

Andy drove from his home to his sisters house he stayed at her house and then drove back home. please help ASAP

Answers

Answer:

a) 45 minutes

b) 100 km/hr

Step-by-step explanation:

a) It is the length of the horizontal line in the graph. It extends from 14:45 to 15:30 and that is 45 minutes.

b) Andy travels 50 km in 30 minutes (=0.5 hr), that's 50/0.5 = 100 km/hr.

As per linear equation, Andy stayed his sisters house for 45 minutes.

The average speed on his journey home is 100 km/hour.

What is a linear equation?

"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line."

As per the graph, Andy drove from his home to his sisters house.

Then he rested for a while there.

After that, he returned back to his home.

It is clear from the graph that, Andy stayed his sisters house

= (15:30 - 14:45) hours = 45 minutes

Again, from the graph, the distance between Andy and his sister's house is 50 k.m.

Andy return back to his home in

(16:00 - 15:30) hours

= 30 minutes

= 0.5 hours

Therefore, the average speed on his journey home is

[tex]= \frac{50}{0.5} km/hour\\= 100 km/hour[/tex]

Learn more about a linear equation here: https://brainly.com/question/11897796

#SPJ2

Evaluate the logarithm. ln(1/e^2)

Answers

Answer:

-2

Step-by-step explanation:

Notice that 1/e^2 = e^(-2), by power rules.

Now ln(e^x)=x.

So ln(1/e^2) = ln(e^(-2))=-2

Find the length of AC

Answers

B)

here,

A to B = 62

C To B = 11

A to C = ?

now,

so, 62 - 11 = 51

therefore a to C Is 51 cm

plz mark me brainliest ok

plz follow me

A)

Here,

A to B = 13

A to C = 26

total = ?

now,

A to B + A to C

13 + 26 = 39

Therefore,

total number is 39

Eric had to put together the metal frame of a bed. On the instructions, the length
of the frame was shown as 4 inches. If a scale factor of 1 inch = 1.6 feet was used
on the instructions, what was the actual length of the metal bed frame? How do
you know?

Answers

Answer:

The answer is 6.4. And i know because 4x1.6=6.4

2x+3y=12
complete the missing value in the solution to the equation.
(_,8)
*will give 10 points*​

Answers

the answer would be (6,8)

Which angles are complementary to each other, will give brainliest

Answers

3 nd 4

Step-by-step explanation:

hope this helps

someone help.me find angle C and D
also this is in CIRCLE THEOREM lesson​

Answers

Step-by-step explanation:

Opposite angles in a cyclic quadrilateral are supplementary.

Therefore 3c = 4d = 180°, c = 60° and d = 45°.

the answer is c=60 and d=45

X = [ ? ]

BRAINLEST to whoever is right!!

Answers

Answer:

x=125

Step-by-step explanation:

all angles of a triangle add up to 180 degrees.

30+25=55

180-55=125

PLS HELP WILL MARK BRAINIEST

Answers

The slope is y = -x + 2

geometry triangles ​

Answers

do you have a question?
where are the questions?


x-2y=3
4x -8y = 12
Substitution

Answers

Answer:

Solution in photo

Step-by-step explanation:

Pls help, some question I already have the answer but its different from the book answer​

Answers

You need to calculate the height of the cone which would be OV, not VB

Using Pythagorean theorem:

OV = sqrt(37^2-12^2)

OV = 35

Now you have the height to solve everything.

This is a semi circle so volume and surface area would be 1/2 of a full cone.

A) v = 1/2 x pi x r^2 x h/3

V = 1/2 x pi x 12^2 x 35/3

V = 1/2 x pi x 144 x 35/3

V = 840pi

B) sa =1/2 x pi x r(r + sqrt(h^2+r^2))

Sa = 1/2 x pi x 12(12+ sqrt(35^2+12^2))

Sa= 923.63 round as needed.

C) volume of hemisphere with 4cm diameter:

2/3 x pi x 2^3 = 5.33pi

Divide volume of semi cone by volume of hemisphere:

840pi/5.33pi = 157.5

solve for x.
6(x+4)-8x=16​

Answers

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(x+4)−8x=16

(6)(x)+(6)(4)+−8x=16(Distribute)

6x+24+−8x=16

(6x+−8x)+(24)=16(Combine Like Terms)

−2x+24=16

−2x+24=16

Step 2: Subtract 24 from both sides.

−2x+24−24=16−24

−2x=−8

Step 3: Divide both sides by -2.

-2x/-2=-8/-2

x=4

Answer:

X=8

Step-by-step explanation:

First you distribute the 6 to the x and the 4 which gives you, 6x+4x-8x=16 , From there you would add 6x and 4x which gives you 10x. Then you would subtract 8x and that gives you 2x. Now you have 2x=16, then you divide by 2 on both sides. That gives you x=8

carney needs $60 to buy her mother a gift. She has saved 25% of that amount so far. Bow much has she saved so far

Answers

Answer:

$15.00

Step-by-step explanation:

25% of anything means a quarter of that thing. (ie.1/4 of $60 which is $15).

OR

(25/100)*$60

0.25*60=$15

A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable. The results are shown in the Venn diagram.

Answers

Answer:

What are the results? What's the question?

Step-by-step explanation:

Answer: This is your answer: 3.a = 38%, b = 3%

Step-by-step explanation:

Trust me no cap

HELP ME PLEASE!!!!!!!

Answers

Given:

The graph of a line.

To find:

The equation of line and values of m and b. Check whether it is proportional or linear.

Solution:

From the given graph it is clear that, the line passes through (0,4) and (2,0). So, the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-4=\dfrac{0-4}{2-0}(x-0)[/tex]

[tex]y-4=\dfrac{-4}{2}(x)[/tex]

[tex]y-4=-2x[/tex]

Adding 4 on both sides, we get

[tex]y=-2x+4[/tex]

On comparing this equation with slope intercept form, i.e., [tex]y=mx+b[/tex], we get

[tex]m=-2\text{ and }b=4[/tex]

All lines are linear. If a line passes through the origin then it is proportional.

From the given graph it is clear that the line is not passing through the origin, i.e., (0,0). So, it is linear not proportional.

Therefore, the value of m is -2 and the value of b is 4. The equation of line is [tex]y=-2x+4[/tex].  The line linear not proportional because it does not passing through the origin.

Vector works the same number of hours every week. He worked a total of 532.5 hours in the last 15 weeks. How many hours did he work in one week?

Answers

Answer

35.5 hours per week

Step-by-step explanation:

532.5/15=35.5

therefore 35 and half a hour per week

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

i believe it will be 1/8

Toben bought ​ 512 ​ pounds of chicken, which cost $3.50 per pound. What was the total cost of the chicken?

Answers

Answer:

$1792

Step-by-step explanation:

512 x 3.50 = $1792

Answer:

$1792

Step-by-step explanation:

512 * $3.50 = $1792

Write a polynomial function in Intercept (factored) form that has the following zeroes.
3, -5, 2, -2

Answers

Answer:

f(x)=(x-3)*(x+5)*(x-2)*(x+2)

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