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

Suppose you have a bag of colored plastic disks and you choose one without looking. The probability the disk you choose is yellow is P(yellow)=5/25. Write this probability as a decimal. Use a word or phase to describe this probability
Pleas help I give 90 points

Answers

Answer:

First, your only giving 45

Step-by-step explanation:

Second,

Part 1:

P(yellow)  [tex]\frac{5}{25}[/tex]  as a decimal is 0.2

Part 2:

What best describes the​ probability?

A: Unlikely

I WILL GIVE BRAINLIEST IF YOU FIGURE IT OUT

Give a third degree polynomial that has zeros of 17, 7i, and −7i, and has a value of −845 when x=4. Write the polynomial in standard form axn+bxn−1+….

Answers

p(x) = x^3 - 17x^2 + 49x - 833

p(x) = (x-17)(x^2+49)
7i * 7i = -49

p(x) = x^3 - 17x^2 + 49x - 833
p(4) = 4^3 - 17*4^2 + 49*4 - 833
p(4) = 64 - 17*16 + 196 - 833
p(4) = 64 - 272 - 637
p(4) = -208 - 637
p(4) = -845 :)

There are 171 South American animals in a zoo. That is 40 more than half the number of African animals in
the zoo. Enter an equation you could use to find n, the number of African animals in the zoo.

Answers

171-40=131
131x2=262 African Animals

find the slope of the line that passes through the points (-2,6) and (9,-5)

Answers

Answer:

-1

Step-by-step explanation:

deltay/deltax

(6-(-5))/(-2-9)

11/-11

-1

That’s the answer for it hopefully it helps

what are the coefficients in the expression 4x+y+6z+12

Answers

Answer:

4, 1, 6

Step-by-step explanation:

The coefficient of x is 4

The coefficient of y is 1

The coefficient of z is 6

The coefficient of a variable is the number that appears before it.

What are the solutions for X^2-9x=-9

Answers

Answer:

x = 1.146 and x =7.854

Step-by-step explanation:

Use the quadratic formula

x = -b ± √b² -4ac

2a

-(-9) ±√81-36

2

9 ± √45

2

y=-4x-3
y=-2x+1


help

Answers

Answer:

x=−y+

−1/2

Step-by-step explanation:

Let's solve for x.

y−4x−3y=−2x+1

Step 1: Add 2x to both sides.

−4x−2y+2x=−2x+1+2x

−2x−2y=1

Step 2: Add 2y to both sides.

−2x−2y+2y=1+2y

−2x=2y+1

Step 3: Divide both sides by -2.

−2x

−2

=

2y+1

−2

x=−y+

−1/2

4x – 8 = 32
How do I solve this

Answers

Answer:4

x

+

8

=

32

Step-by-step explanation:Isolate for

x

. Start by subtracting

8

from both sides of the equation.

4

x

+

8

8

=

32

8

4

x

=

24

Divide both sides of the equation by

4

.

4

x

4

=

24

4

x

=

6

Answer:

10

Step-by-step explanation:

4x-8=32

4x=32+8

4x=40

x=40/4

x=10

The cost of downloading a video game app on the App Store is $1.75. Which equation can be used to find the c, the cost in dollar of downloading n video games?


A) c = n + 1.75

B) c = 1.75n

C) n = c + 1.75

D) n = 1.75 c

Answers

The answer is letter B, c=1.75n

A bag contains 15 blue marbles, 5 red marbles, and 11 green marbles. How many blue marbles must be removed

from the 31 marbles in the bag so that the probability of randomly drawing a blue marble is ?

Answers

A bag contains 15 blue marbles, 5 red marbles, and 11 green marbles. How many blue marbles must be removed

from the 31 marbles in the bag so that the probability of randomly drawing a blue marble is 1/3?

Answer:

7 blue marbles

Step-by-step explanation:

15 blue

5 red

11 green

Total = 31

Number of Blue marbles that must be removed to obtain a probability of :

P(blue) = 1/3

Probability = required outcome / Total possible outcomes

Let number of blue marble to be removed = x

Number of Blue becomes : 15 - x

Total becomes : 31 - x

P(blue) = 1/3

1/3 = (15 - x) / (31 - x)

1/3 * (31 - x) = 15 - x

(31 - x) / 3 = 15 - x

31 - x = 45 - 3x

-x + 3x = 45 - 31

2x = 14

x = 14 / 2

x = 7

30 times 6 divided bye 8

Answers

Answer:

22.5 hope i helped you out

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

I used a calculator:))))hope it helped:))))))

Does anyone know this. Please help.

Answers

Answer:119

I'm new so don't just take my answer

Step-by-step explanation:

Write an expression that is equivalent to 7 3/4 + 3 5/6 - 1 3/4 that uses addition instead of subtraction

I need this ASAP please I’ll make it 20 points

Answers

-1 3/4 + 7 3/4 + 3 5/6

Diego bought 4 boxes of cookies to thank his coaches at the end of the season. Each box had the same number of cookies. A friend brought 1 cookie to add to each box. Now there were 28 cookies in all. What is the unknown amount in the story?

Answers

Answer:

there are 24 cookies in the 4 boxes

there are 6 cookies in each box

Step-by-step explanation:

Let x = number of cookies in each box

If there are 4 boxes, the total number of cookies in the four boxes are 4x

If a friend brought 1 cookie to add to each box, the friend brought a total of 4 cookies

4x + 4 = 28

Solving for x

4x = 28 - 4

4x = 24

x = 6

Each box contains 6 cookies and there are 24 cookies in 4 boxes

Arrange these decimals from least to greatest.
6.00
0.56
0.060
0.6
0.056

Answers

Answer:0.056,0.06,0.56,0.60,6~Hope you have a good day, Loves!

Also if I'm right can you let me know, please?

Also Also if I am right can I please have Brainliest??

You don't need to, I'm just glad I could help. ^^

~

You're a beautiful person, and worth so much, no matter your race or gender.

You deserve the world and more, and if I could give it to you, I would!

So please don't let anyone say otherwise, there are so many people in this world who love you, including me.

And if someone can't see your beauty then they're rather blind or you're just too bright for them!

Your amazing and I'm so proud of you for making it this far, so keep on with life, stay strong, and live long because I love you!

(Not in a weird way lol I love and care for everyone genuinely)

the slope of (-4, 7), (-6,-4)

Answers

Answer:

5.5

Step-by-step explanation:

Answer:

11/2

Step-by-step explanation:

A cell phone company recently noticed a 26% sales decrease in the month of July compared to June. Let n represent June's

sales. If y represents July's sales, which equation can be used to determine the sales in July?

0 A y = n - 0,26n

OB y = n - 0.26

0 C. y = n + 0,26n

OD. n = y-0.26

22

Answers

Answer:

Option A. is correct.

Step-by-step explanation:

Given: A cell phone company recently noticed a [tex]26\%[/tex] sales decrease in the month of July compared to June such that [tex]n[/tex] represent June's  sales.

Also, [tex]y[/tex] represents July's sales.

To find: equation that can be used to determine the sales in July

Solution:

June's sales [tex]=n[/tex]

Decrease in sales [tex]=\frac{26}{100}n=0.26n[/tex]

So,

July's sales [tex]=n-0.26n[/tex]

Also,

July's sales [tex]=y[/tex]

Therefore,

[tex]y=n-0.26n[/tex]

So, option A. is correct.

Please help me guys

Answers

2nd one its like one big right angle so must add to 90
So (x+9)+2x=90
(x+9) + 2x = 90
Explanation: (x+9) and 2x are two angles inside the 90 degree angle. Therefore if they are added together they will make the 90 degrees.

l

The function P(1) - 5,000(1.098)' models the value, in dollars, of a painting after t years. What is the initial value of the painting?

Answers

Answer:

the answer is $5,000

Step-by-step explanation:

the question is asking what the initial value of the painting is and in the equation, they are trying to find out how much the painting will cost after t years. the 1.098 is how much the painting decreases each year and it is being multiplied by &5000 so $5000 is the original value of the painting.

Solving Square root and other radical equations

Answers

Answer: How to answer radical questions and such:

The most basic is to isolate one of the square roots, square both sides, and this will usually yield less square roots than when you started with. Keep repeating until you have no more square roots. This works pretty well in most cases, there are sometimes some tricks, arising from the particular problems themselves ways, which allow you to solve the equations much faster

The solving methods for Square root and radical equations are given below.

What is a radical equation?

An equation wherein a variable is withinside the radicand of a thorough expression is referred to as a thorough equation. As usual, whilst fixing those equations, what we do to at least one aspect of an equation we ought to do to the alternative aspect as well. Once we isolate the radical, our approach could be to elevate each facet of the equation to the strength of the index. This will remove the radical.

To asked how to solve Square root and the radical equation

For Square root:

There are many methods for solving a square root such as

Repeated Subtraction Method of Square RootSquare Root by Prime Factorization MethodSquare Root by Estimation MethodSquare Root by Long Division Method

Here we will learn solving Square root using the Long method

Long division method

Separate your square root base into pairs. Find the largest square that divides into the first number or pair. Subtract the square from the first number or pair. Drop down the next pair.Multiply the first digit of the square by twoSet up the next factor equation.

For radical equation:

There are many types of radical equations such as

Equation with one radicalEquation with two radicalsEquation with three radicals

And so on,

the best way to solve radical equations is:

Isolate one of the radical terms on one side of the equation.Raise both sides of the equation to the power of the index.Are there any more radicals?If yes, repeat Step 1 and Step 2 again.If no, solve the new equation.Check the answer in the original equation.

Learn more about radical equations here:

https://brainly.com/question/9370639

#SPJ2

5/6x8/9 as an improper fraction

Answers

Answer:

[tex] \frac{20}{27} [/tex]

Step-by-step explanation:

this can not be converted into a improper fraction

consider downloading photomath

porfavor: 5(x+9) = 2(x+30)= cuanto es?

Answers

Step-by-step explanation:

Primero encontramos el valor de x,

5(x+9) = 2(x+30)

=> 5x + 45 = 2x + 60

=> 5x - 2x = 60 - 45

=> 3x = 15

[tex] = > x = \frac{15}{3} [/tex]

=> x = 5

Como tenemos el valor de x entonces,

LHS = 5(x+9) RHS = 2(x+30)

= 5(5+9) = 2(5+30)

= 5 × 14 = 70. = 2 × 35 = 70

Por tanto, el valor es,

5 (x + 9) = 2 (x + 30) = 70 (Ans)

Mrs.Browns rectangular kitchen is 10 ft wide and.16 ft long, if she creates a scale drawing.With a length of 4 inches, what would be the width

Answers

Answer:

2.5 inches

Step-by-step explanation:

1 feet = 12 inches

The length is 16 ft x 12 = 192 inches

The length was scales by an unknown measure which i would represent with x . The equation is as follows

192 inches x a = 4 feet

a = 48

The kitchen was scaled by 48

10 x 12 = 120 inches

120/48 = 2.5 inches

(x⁵+x⁴-x³-5x+4)÷(x+ 2)​

Answers

Answer:

[tex](x^4 - x^3 + x^2 +2x -1) \times (x + 2) + 6[/tex]

Step-by-step explanation:

(see image)

Enter the number that belongs in the green box

Answers

Answer:

x = 7

Step-by-step explanation:

All sides are equal therefore its 7

Hope this helps!! ♥︎

x = 7

7 because the measurement of all side are congruent

Two line segments are parallel, and each is 8 centimeters long. How many rectangles can be constructed using this information? A. 0 B. 1 C. 2 D. 4 E. infinitely ma

Answers

9514 1404 393

Answer:

  E.  infinitely many

Step-by-step explanation:

The other pair of parallel sides (at right angles to the given sides) can be any length. Infinitely many rectangles can be formed.

Answer:

i think that the corect answer is A.0

Step-by-step explanation:

it is parallel and that means that it wont cross paths

What is the value of z?
Z =

Answers

Answer:

Step-by-step explanation:

There is know question please update it.

hshsswwwssswww

Step-by-step explanation:

8. The city commission would like to install new flagpoles that are each
45 feet tall. How tall are the flagpoles in the model?

Answers

Answer:5

Step-by-step explanation:

1 Write the slope-intercept form of the equation of the line. -​

Answers

Step-by-step explanation:

x=0 y=2

x=-2 y=0

y=mx+b

b=2

0= -2m+2

2m=2

m=1

y= x + 2


Which shows an explicit formula for a sequence whose first term is 8 and
whose common difference is 7?

Answers

Answer:

7n + 1

Step-by-step explanation:

the general formula for figuring out the formula of a sequence is a + (n - 1)d, where a = the first term and d = the common difference

The question tells u that the first term is 8 and the common difference is 7

Knowing this, you can substitute those values into the formula and simplify:

a + (n - 1)d

= 8 + (n - 1)*7

= 8 + (7n -7)

= 8 + 7n - 7

= 7n - 7 + 8

= 7n + 1

and there's your explicit formula! hope this helped!

Other Questions
a sound wave has a frequency of 1192 hertz. all sound waves in air travel at 322m/s. find the wave length of the sound wave The relationship between a distance x in a garden and the corresponding distance y in a model of the garden is y = kx. A triangular path in the model has sides that measure 8 yards, 15 yards, and 17 yards. The side lengths of the actual path are 48 yards, 90 yards, and 102 yards. What is the constant of proportionality? I will award branliestTranslate from binary to decimal:a) 11b) 111 General equilibrium problems. ICE type problems.a. Isopropyl alcohol can dissociate into acetone and hydrogen according to the reaction below.At 179 C, the equilibrium constant for this dehydrogenation reaction is 0.444. i) If 0.166moles of isopropyl alcohol is placed in a 10 L vessel and heated to 179 C, what is the partialpressure of acetone when equilibrium is attained How did the Catholic Church respond to the religious changes brought about by the Reformation? what is environment Find the area of the composite figure 2cm 4cm 8cm The sailor wasafter his long trip without any food.transparentperceivedmingleO potionO wrenchfamishedcomplexionointmentshrillvoyage Solve 3m - 6 = 33Your final line must say, m= ... A juice box contains 230 ml of juice and a bottle of juice contains 960 ml. How much more juice is there in the bottle compared to the box? What was true about African Americans during the war?A. They commanded ships with white sailors.B. They joined the Southern forces in great numbers.C. They served in army units with whites.D. They joined the Northern forces in great numbers. Analyze the diagram below and complete the instructions that follow. Find the value of x. What are the steps for a bill to become a law in Georgia?AGovernor, Senate, committee, House, committee, governorBCommittee, introduction, governor, committee, full group, HouseIntroduction, committee, full group, committee, full group, governorDGovernor, introduction, committee, full group, committee full aroun 13x - (10x + 11) + 6 = 13PLEASE SHOW WORK Which of the following is NOT a characteristic of urban sprawl? Question 2 options:automobile dependency high rise buildings with ground floor businesseslow density developmentstrip malls A group of scientists have created a new drug X that helps with anxiety.What is your hypothesis? 1/3x + y = 6-x - 2y = -9 Using elimination PLEASE HELP!.........!! Translations, reflections, and rotations produce a figure that is ______ to the original figure. When did Georgia begin international trade using deep water port of savannah