The sum of 3 consecutive integers is 78. What is the integer closest to zero?

Answers

Answer 1

Answer:

25

Step-by-step explanation:

Let n be the first integer.

Then the second integer will be (n + 1).

And the third will be (n + 2).

The sum is 78. Therefore:

[tex]n+(n+1)+(n+2)+78[/tex]

Solve for n. Combine like terms:

[tex]3n+3=78[/tex]

So:

[tex]3n=75[/tex]

Therefore:

[tex]n=25[/tex]

Therefore, the first integer is 25.

So our sequene is 25, 26, and 27.

The integer closest to zero will thus be 25.

Answer 2
Therefore the first integer is 25
So our sequence is 25, 26 and 27 respectively
The integer closest to zero will thus be 25.

Related Questions

What is the solution to the system of equations?

{y=5x−10y=−3x+14

Answers

Answer:

x = 3 and y = 5

Step-by-step explanation:

Given equations are :

y=5x−10 ..(1)

y=−3x+14 ...(2)

Subtract equation (2) from (1).

y-y = 5x−10-(−3x+14)

0 = 5x-10+3x-14

0= 8x-24

8x = 24

x = 3

Put the value of x in equation (1).

y=5(3)−10

= 15-10

y = 5

So, the values of x and y are 3 and 5 respectively.

Need answer ASAP I’m timed What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Answers

Answer:

17

Step-by-step explanation:

(7, 8)  (-8, 0)

First find how much the point moved in y to the second point.

8-0=8

So one side is 8.

Then find how much it moved in x. 7-(-8)=15

So the other side is 15

This will give you 2 sides of a triangle where one sides lenght is 8 the other is 15. Use the pythagoras theorem which is x squared plus y squared = c squared

8^2+15^2=c^2

64+225=c^2

289=c^2 Take the square root of both sides to solve for C

√289= √C^2

17 = c

A factory increased its production by 22%and produced 4900tonnes. How many tonnes was it producing before

Answers

Answer:

whfjajfigiiwitohoeirtiririri neji

(3x 2 + 5x - 8) and (x^2-3x + 2)

Answers

Answer:

(3x 2 + 5x - 8) = (3x+8)(x−1)

(x^2-3x + 2)= (x−1)(x−2)

Step-by-step explanation:

you just have to factor

Answer:

1) 11x-8

2)       x2-3x+2      

Step-by-step explanation:

if it is correct plz plz mark as brainliest

thank you

19NBoli

evaluate the expression
5x2^2

Answers

Answer:

2 ez cuh the answer is

20 x

Step-by-step explanation:

please give me brainlist I just need 3 more

Answer:

20

Step-by-step explanation:

Ok so,

2^2 = 4

*i'm just rewriting the expression*

so now it would be 5x4 which would be 20.

hope this helps! have a good day! pls mark brainliest!!!

11 = x + 9 then what’s x=___ ??

Answers

Answer:

2

Step-by-step explanation:

subtract like this: 11-9=2

Answer:

x = 2

Step-by-step explanation:

11 = x + 9

11 - 9 = x + 9 - 9

2 = x

x = 2

I need help with this problem, if someone could answer it, it'd make me happy^^
Find y in XYZ if measure Y = 36, measure X = 49, and x = 12.

Answer choice:
A. 0.04
B. 9.35
C. 14.80
D. 15.41

Answers

Hi I just saw your message yesterday I am really excited to hear ok byeee 2348 ok. Hi

4x+3 x f(x)=15 solve for "f(x)"

Answers

Answer:

N-numeral number 12xy=0

Step-by-step explanation:

sana po makatulong po sa inyo

Graph the function y=4/3x+3

Answers

Answer:

Basically, you will first graph the 3 or (0,3) on the graph. Then you go 4 units up and 3 units to the right.

Hope this helps, thank you !!

49%
The value of V is double the value of Q.
Choose the correct formula.
A- V= Q2
B- V= Q + 2
C- v = 을
C- V = 20

Answers

The answer is V= 2Q so the last one

Does the point (4, 25) satisfy the equation y = 7x + –3?

Answers

Answer:

yes,  point (4, 25) satisfies the equation y = 7x + –3

Step-by-step explanation:

to see if the point satisfies the equation, we need to plug in the x coordinate to get y

if y is equal to the y-coordinate, then the point satisfies the equation

if y does not equal the y-coordinate, then the point does not satisfy the equation:

y = 7(4) + - 3

y = 28 + -3

y = 25

does 25 = 25? Yes! so the point satisfied the equation

Answer:

yes

Step-by-step explanation:

7(x)- 3 = y

7(4) - 3 = (y)

28 - 3 = 25

i need help my teacher talks to fast and i don't get anything he says

Answers

Answer:

2$+(1.29$ x 30)=40.70$

Step-by-step explanation:

Calculate the question below by assumed mean method... class 10

Answers

The formula to calculate mean= Add the numbers and Divide by how many numbers( there are 7 numbers)..............

If the answer is wrong.....

Sorry, because I read in class nine........

A fruit punch recipe requires 2 cups of grape juice for every 3 cups of apple juice. How
many cups of apple juice will you need if you use 9 cups of grape juice? Use a double
number line to help you answer the question. (4)

Answers

Answer:

9 cups of grape juice = 10 cups of apple juice.

Step-by-step explanation:

2 cups of grape juice = 3 cups of apple juice

9 cups of grape juice = ? cups of apple juice

9-2=7 cups of grape juice

3+7=10 cups of apple juice

9 cups of grape juice = 10 cups of apple juice.

Which is a solution to the inequality y > 2 + 9x? Select all that apply.
A (7,67)
B (8,74)
C (5,49)
D (4,37)

Answers

The options that represent solutions to the given inequality are:

A (7,67)C (5,49)

What is the inequality?

The inequality is:

[tex]y > 2 + 9x[/tex]

Item a:

x = 7, hence, the solution is:

[tex]y > 2 + 9(7)[/tex]

[tex]y > 67[/tex]

67 > 65, hence it is a solution.

Item b:

x = 8, hence, the solution is:

[tex]y > 2 + 9(8)[/tex]

[tex]y > 74[/tex]

74 = 74, hence it is not a solution.

Item c:

x = 5, hence, the solution is:

[tex]y > 2 + 9(5)[/tex]

[tex]y > 47[/tex]

49 > 47, hence it is a solution.

Item d:

x = 4, hence, the solution is:

[tex]y > 2 + 9(4)[/tex]

[tex]y > 38[/tex]

37 < 38, hence it is not a solution.

You can learn more about inequalities at https://brainly.com/question/25235995

plssssssssss helpppppppppppppp

Answers

Answer:

its A

Step-by-step explanation:

can i have brainliest

it is a because why not? huh how you doing

3) Calculate the area of the entire triangle below. Show your work *

22
31
8

Answers

Answer:

a = 1/2 (b) (h)

Step-by-step explanation:

Use Pythagorean theorem for sub triangle on the left: 8^2 + h^2 = 22^2

Use Pythagorean again for sub triangle on the right: x^2 + h^2= 31^2

Find your base: 8+x=b

Find entire area: a = 1/2 (b) (h)


Identify the initial amount a and the rate of growthr (as a percent) of the exponential function y = 25(1.2). Evaluate the function when t = 5. Round your answer to the nearest
tenth
a=
T=%
When t = 5, y =

Answers

A=25
T=20%

can you write the complete function so i can get y ? is it power t or what ?

Find x correctly pleaseeee !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

No one gets math also saying you will mark Brainliest doesn't make me want to answer more...

Step-by-step explanation:

Try watching  videos trust me you will learn a lot more.

The answer to your question is c= 563848

What are two different ways of factoring -3x – 9? Select all that apply. (2 answers)
A. -3(x + 3 )
B. 3(x+3)
C. 3(-x-3)
D. -3(x-3)

Answers

So basically the answer would be A and C bestie‍♂️

write two numbers that multiply to the value on top and add to the value on bottom. its for a test

Answers

Answer:

-6 and -3

Step-by-step explanation:

Today is rlly not my day...can someone pls help me my work is due by 11:59 tonight I’m rlly tired and falling behind in math pls help!

Answers

Answer:

c

Step-by-step explanation:

The sum of a number x and 2,496 is 17,344. What is the value of x

Answers

Answer:

x = 14,838

Step-by-step explanation:

equation is

x + 2,496 = 17,344

x = 17,344-2,496

x = 14,838

hope it helps you ☺️

The value of x when the sum of a number x and 2,496 is 17,344 should be considered as the 14,838.

Calculation of the value of x:

Since The sum of a number x and 2,496 is 17,344

So here the following equation be applied

x + 2,496 = 17,344

x = 17,344-2,496

x = 14,838

hence, The value of x when the sum of a number x and 2,496 is 17,344 should be considered as the 14,838.

Learn more about sum here: https://brainly.com/question/13877879

There are 12 pieces of fruit in a bowl and 3 of them are apples. What percentage of the pieces of fruit in the bowl are apples?

Answers

Answer:

25%

Step-by-step explanation:

3/12 = 1/4 = 0.25 = 25%

What is the central idea of this text?
A
Hurston was an amazing African-American writer who was unappreciated during
her lifetime.
O
B.
Hurston was an important African-American writer and anthropologist who
helped to preserve the African-American culture and experience.
С
Hurston was a strong-willed, vibrant African-American woman who fought for
what she wanted and found a way to get it.
D
Hurston was a popular and important African-American woman in the Harlem
Renaissance.
Ahhh

Answers

Answer:

B

Step-by-step explanation:

Hurston was an important African-American writer and anthropologist who

helped to preserve the African-American culture and experience.

Simplify:
(8 - 5i) - (-2 +3i)

Answers

Answer:

(3) -(1) = 2i

Step-by-step explanation:

use bomdass

Answer:

Step-by-step explanation:

(8-5i)(2-3i)

using FOIL,

16-34i+15i squared?

Look at this set of ordered pairs:
(15,4)
(2, 1)
(20, 16)
(13, 14)
Is this relation a function?
yes
no
O Yes
Ο O No

Answers

Answer:

Yes

Step-by-step explanation:

function

A set of ordered pairs where each first element is paired with one and only one second element and no element in either pair is without a partner.

The Blue Shell's flight path is modeled by the equation:
y = -10x2 + 100x + 750
a) Fill in the table below. The points will be used to plot on the below graph to create a
parabola.
b) Based on the table, what is the maximum
Y у
height the blue shell reaches?

Answers

Answer:

1. I assume you just pick some arbitrary x and y numbers to plug in the equation. but if you answer part b and c first, part a might be easier for what values to choose.

2. if you do a quick browser search for how to find the max height of a parabola, then you can learn how to.

3. research on Browser. you can also just make y = 0.

vertex is max height, both zeros is just solving the equation for the x values. axis of symmetry is just the vertex point with a line through it.

What is m∠8 if m∠4 = 50°?

Answers

Answer:

it would also equal 50

Step-by-step explanation:

angle 4 and angle 8 are corresponding angles meaning that they are the same angle

a, they make the same angle therefore have the same measurement

HELP ASAP ASAP ASAP PLS PLS JUST PLS

Answers

i hope my answer help you

1st=5x-100

2nd=1/3x-7

3rd=x²×4

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