The sum of five consecutive integers is five. What is the product of the five integers?

Answers

Answer 1

The first integer = x

The second integer = x + 1

The third integer = x + 2

The fourth integer = x + 3

The fifth integer = x + 4

Since they all add up to 5, let's set them equal to 5

x + x + 1 + x + 2 + x + 3 + x + 4 = 5

Combine like terms

5x + 10 = 5

Subtract 10 from both sides

5x = -5

Divide each side by 5

x = -1

The first integer = x = -1

The second integer = x + 1 = -1 + 1 = 0

The third integer = x + 2 = -1 + 2 = 1

The fourth integer = x + 3 = -1 + 3 = 2

The fifth integer = x + 4 = -1 + 4 = 3

We can check this by adding all the integers together and making sure we get 5

3 + 2 + 1 + 0 - 1 = 5

Answer 2

Answer:

0

Step-by-step explanation:

If the sum of the integers is 5, then the arithmetic mean of the integers is [tex]$\frac{5}{5}=1$[/tex] .  In five consecutive integers, the arithmetic mean is equal to the middle integer, which means the integers are -1, 0, 1, 2, 3 and the product is [tex]$\boxed{0}$[/tex].

Hope this helped! :)


Related Questions

Please Help due tonight really need help It's a grade

Joey gets an allowance of $17 per week. He wants to buy a new basketball that costs $43.67. When will Jose be able to buy the basketball if he has already saved $22.22, but also has to pay $13.45 each week for snacks and school supplies? make an equation or inequality and solve. Show your work

Answers

Answer:

7 weeks

Step-by-step explanation:

Joey gets 17 per week

[tex]17x[/tex] with x the number of weeks

he wants to buy a basketball cap that 43.67

[tex]equation\geq 43.67[/tex]

he has already saved 22.22

[tex]+22.22[/tex]

has to pay 13.45 each week

[tex]-13.45x[/tex]

[tex]17x+22.22-13.45x\geq 43.67\\\\(17x-13.45x)+22.22\geq 43.67\\\\3.55x+22.22\geq 43.67\\\\3.55x\geq 43.67-22.22\\\\3.55x\geq 21.45\\\\x\geq \frac{21.45}{3.55} \\\\x\geq 6.04...[/tex]

but we don't wake a 0.4 of a week so we need the next whole number 7

so it will take 7

a.
7
L 1. Andrew's hobby is mountaineering. He
started his hike at 250 feet above sea level.
When he reached the peak of the mountain
he was at 1700 feet above sea level. How
many feet did Jake hike up the mountain?

Answers

Answer:1700

Step-by-step explanation:

In total, he traveled 1700 feet. He had to get to the 250ft starting point somehow, so you would count that as the overall total distance traveled.

Ann Clair and josh collect sticker one week Ann collects 7 more sticker then josh josh collect twice as many stickers as Claire. If they collect a total of 157 stickers how many sticker did each collect

Answers

Answer:

Ann: 67Clair: 30Josh: 60

Step-by-step explanation:

If we let A, C, and J represent the number of stickers collected by Ann, Clair, and Josh. respectively, then we have the relations ...

  A = J +7

  J = 2C

  A + C + J = 157

__

Substituting the first equation into the last, we have ...

  J +7 + C + J = 157

  C +2J = 150 . . . . . . . collect terms, subtract 7

Substituting the second equation into this one, we have ...

  C +2(2C) = 150

  C = 150/5 = 30 . . . .  divide by the coefficient of C

  J = 2·30 = 60

  A = 60 +7 = 67

Ann collected 67 stickers, Clair collected 30, and Josh collected 60 stickers.

Answer:

Ann has 67

Josh has 60

Claire has 30

2x + 6 = 2(x+3)

A x=0
B no solution
C infinite many solutions

Answers

Step-by-step explanation:

2x + 6=2(x+3)

2x+6=2x+6

4x=0

x=0/4

No answer/no solution

2x + 6 = 2(x+3)

2x + 6 =2x+6

2x-2x=6-6

x=0

I guess I was help full for u

What energy transfer is occurring when a battery-powered toy rolls across the floor?
(3 points)
1) Stored mechanical energy is converted to thermal energy.
2) Stored mechanical energy is converted to mechanical energy.
3) Stored chemical energy is converted to thermal energy.
4) Stored chemical energy is converted to mechanical energy.

Answers

Answer:

  4) Stored chemical energy is converted to mechanical energy.

Step-by-step explanation:

The battery represents energy stored in the form of chemical compounds. The motion represents mechanical energy. The transfer occurs between these forms of energy.

  4) Stored chemical energy is converted to mechanical energy.

1. CD Express offers 4 CDs for $60. Nuse Place
offers 6 CDs for $25. Which store offers the
better buy?

Answers

Answer:

Answer 2.

Step-by-step explanation:

4 CDs for $60 vs 6 CDs for $25?

At CD Express you'll spend $240 while only spending $150 at Nuse Place.

4. A rectangle is a four-sided flat shape where every interior angle is a right angle.
Therefore, opposite sides are parallel and consecutive sides are perpendicular.
Rae is drawing rectangle PQRS on a coordinate plane. The rectangle has
coordinates P(-1,2), Q(2,4), R(x, y), and S(3,-4).

Answers

Answer:

coordinates of R(x,y) is R(6,-2).

Step-by-step explanation:

A. we know that

The rectangle has coordinates P (-1,2), Q(2,4), R(x,y) and S(3,-4)

using a graph tool

see the attached figure

Step 1

Find the slope of the line PS

the slope is equal to

m=(y2-y1)/(x2-x1)

mPS=(-4-2)/(3+1)=-6/4=-3/2

Step 2

Find the equation of the line QR

we know that

PS and QR are parallel lines

so

their slopes are the same

mQR=-3/2

with mQR and the point Q(2,4) find the equation of the line

y-y1=m*(x-x1)

y-4=(-3/2)*(x-2)

y=(-3/2)*x+3+4--------> y=7-(3/2)*x

Step 3

Find the equation of the line SR

we know that

SR and QR are perpendicular lines

so

the product of their slopes is equal to minus one

mSR*mQR=-1

mSR=2/3

with mSR and the point S(3,-4) find the equation of the line SR

y-y1=m*(x-x1)

y+4=(2/3)*(x-3)

y=(2/3)*x-2-4---------> y=-6+(2/3)*x

Step 4

Find the intersection of the lines QR and SR

we know that

the intersection of the lines QR and SR is the point R

y=7-(3/2)*x------> equation 1

y=-6+(2/3)*x------> equation 2

equate equation 1 and equation 2

7-(3/2)*x=-6+(2/3)*x

7+6=(2/3)*x+(3/2)*x

13=(2/3)*x+(3/2)*x

Multiply by 6 both sides

6*13=4*x+9*x

13*x=6*13

x=6

find the value of y

y=-6+(2/3)*x------> y=-6+(2/3)*6---------> y=-6+4

y=-2

therefore, the coordinates of point R are (6,-2)

Solve for k.
7k - 2 ≥ -9​

Answers

Answer: k ≥ -1

Step-by-step explanation:

7k - 2 ≥ -9

add two to both sides

7k ≥ -7

k ≥ -1

Answer:

k​ ≥ -1

Step-by-step explanation:

7k - 2 ≥ -9​

add 2 to both side

7k  ≥ -7

divide both sides by 7

k​ ≥ -1

Use the model to solve for x.

A) no solution

B) x = 3

C) x = -3

D) x = - 3/2

Answers

I’m pretty sure it’s a
The answer would be A. No solution

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



HELP!!!

Answers

Answer:

7/2 = x

Step-by-step explanation:

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

Distribute

2x+8 = 6x -6

Subtract 2x from each side

2x-2x+8 = 6x-2x -6

8 = 4x -6

Add 6 to each side

Add 6 to each side

8+6 = 4x-6+6

14 = 4x

14/4 = 4x/4

7/2 = x

Answer:

x= 7/2

Step-by-step explanation:

2x + 8 = 6x - 6

2x - 6x = -6 - 8

- 4x = -14

x = 7/2

I can't find the value of Y​

Answers

114 = 19y

This is true because they are vertical angles. Now, let's divide both sides by 19

6 = y

Answer:

The value of y° must be 6°

Step-by-step explanation:

19y° = 114°{being vertically opposite angle}

or, y° = 114°/19

or, y° = 6°

Constanza le hizo una caja de regalo a su papá. La medida de una de las aristas de la caja es de 15 cm. Si la caja tiene forma de un cubo. ¿Cuántos cm2 de papel de regalo deberá ocupar como mínimo para forrar la caja?

Answers

Answer:

Constanza ocupará, como mínimo, para forrar la caja:

1350 cm²

para forrar la caja

Step-by-step explanation:

En un cubo cada una de las aristas que lo conforman miden lo mismo.

Un cubo tiene 6 caras.

La formula del área del área de las 6 caras del cubo es:

área total del cubo = a = 6*arista²

en este caso:

a = 6*(15cm)²

a = 6 * 225 cm²

a = 1350 cm²

Answer:1350 cm²

Step-by-step explanation:idfk

Select all the sums that are positive.
A. -5 + (-2)
B. 5+(-2)
C -3 + 4
D. 0 +(-3)
E –2 +4

please help

Answers

a = -7 negative
b = 3 positive
c = 1 positive
d = -3 negative
e = 2 positive

14. The diameter of carbon atom is about 3.4 x 10-7 millimeter. Is it more appropriate to report the diameter of carbon atom
as 3.4 x 10-7 millimeter or 3.4 x 10-13 kilometer? Explain your reasoning.
I

Answers

Answer:

  it depends

Step-by-step explanation:

I like to choose the units to be compatible with the use of the number.

In Engineering, we often choose units so the number itself is between 1 and 1000. Here, that means 3.4×10^-7 mm would be better expressed as 3.4 angstroms or 340 pm (picometers). (The purpose of SI prefixes is to facilitate this way of representing metric measures.)

If you're comparing the length to something measured in km, then the representation as 3.4×10^-13 km might be the most useful

If you're comparing the distance to something measured in mm, then 3.4×10^-7 mm would be more appropriate than 3.4×10^-13 km.

What is the degree of 5x3 + 2x2y3z?

Answers

Answer:

stylo fabric customer care 9903160322##8944928267

Answer:

the degree is the largest exponent on the variable

answer - 6

Consider this polynomial equation.


Use the equation to complete this statement.
The equation has solutions. Its real solutions are .

Answers

Answer:

The equation has 5 solutions and its real soluations are x=3, +sqrt2, -sqrt2, and -1

Step-by-step explanation:

Answer:

x = 3, -1, 2, -2

Step-by-step explanation:[tex]x^{2}[/tex]

6([tex]x[/tex]-3)([tex]x^{2}[/tex]+4)([tex]x[/tex]+1) = 0

6([tex]x[/tex]-3)([tex]x[/tex]+2)([tex]x[/tex]-2)([tex]x[/tex]+1) = 0

Using the fact that ([tex]x^{2}[/tex]+4) = ([tex]x[/tex]-2)([tex]x[/tex]+2) - known as the difference of two squares rule

Thus solve by inserting values of [tex]x[/tex] that will result in the equation equating to 0.

ie: if [tex]x[/tex] = 3,

6(3-3)(3+2)(3-2)(3+1) = 0

0=0

RHS = LHS therefore true

What is 8.904. x 9095.865 =

Answers

Answer:

80989.58196

Step-by-step explanation:

Answer:

80,989.5018

Step-by-step explanation:

Is a decimal and integer

Answers

Answer:

Integers are whole positive numbers and whole negative numbers decimals are not integers.

Step-by-step explanation:

Answer:

No, a decimal is a Rational number. Integers are whole numbers.

Step-by-step explanation:

Real number system Diagram Below

What is -2(x + 3 ) = -2x-6

Answers

Answer:

0 = 0 (infinite solutions)

Step-by-step explanation:

-2(x+ 3) = -2x - 6

Multiply -2 to x and 3

-2x -6 = -2x - 6

Add 2x on one side to get zero, and add 6 to the other side to get 0

0 = 0

There are infinite solutions

Find the x-values for which f(x) = g(x)
if you know that f(x) = x2 and g(x) = 9.

Answers

Answer: X = 3

x2 = 9

x = 3

Step-by-step explanation:

All you have to do is divide!

slove 5y-3w if y=2 and w=-3

Answers

Answer: 19

Step-by-step explanation:

Just plug in your variables

5(2) - 3(-3)

10 + 9

Answer:

the answer is 1

Step-by-step explanation:

5 x 2 is 10 and 3 x 3 is 9 so then 10 - 9 is 1

three friends all live on the same street that runs west to east. Beth lives 6 blocks from Al. Carol lives 2 blocks from Beth. If the street is represented by a number line and Al’s house is located at 0, what are the possible locations for Carol’s house?

Answers

Answer:2, -2, 6 or -6

Step-by-step explanation:

Given,

The location of Ann's house in the number line = 0,

∵ Ben lives 4 blocks from Ann.

So, the possible location of Ben's house =  4 ( right of ann's house ) or - 4 ( left of ann's house )

Now, Carl lives 2 blocks from Ben,

So, the possible location of Carl's house

Case 1 : If Ben's house location is 4 = 2 ( left of ben's house ) or 6 ( right of ben's house )

Case 2 : If Ben's house location is -4 = -2 ( right of ben's house ) or -6 ( left of ben's house )

WHAT is 1+6+8+9+7-5+81

Answers

Step-by-step explanation:

1+6+8+9+7-5+81

= 107

....

Order the following from least to greatest: 14 -6, 0, 8, 3.4, -8, 2​

Answers

Answer:

-6. -8 0 3.4 6 8 14

Step-by-step explanation:

I think I am correct

Answer:

-6. -8 0 3.4 6 8 14

Hope I helped ya

Which statement is NOT true about Rational Numbers? *
Whole Numbers are Rational Numbers
Only fractions are Rational Numbers
Integers, Whole Numbers, and Natural Numbers are Rational Numbers
Repeating decimals and terminating decimals are Rational Numbers

Answers

Answer:

Integers, Whole Numbers, and Natural Numbers are Rational Numbers

Step-by-step explanation:

Hope it helps :3

HELPPP pleaseeeeeeeee

Answers

Answer:

ok ok easy lol oh my good what I'm did do have he told ya he bc do is so in by he do oh my God he told

Find 4ac when a=3 and c+39

Answers

Answer:

468

Step-by-step explanation:

a=3 and c=39

4(3)(39)

468

i believe you accidently wrote c+39 instead of c=39 :)

Answer:

468

Step-by-step explanation:

Replace:

4(3)(39)

=468

Find the distance between the points J( - 8.0) and K(1, 4).

Answers

Answer:

I hope yo got the answer

Round 5.823 to the nearest whole

Answers

6 because the eight rounds the number up. Anything greater than 5 is rounded up

Answer:

6

Step-by-step explanation:

you would round 5.823 to 6 because the first decimal place it higher than 5 a way to remember this is 5 or more let it soar(round up) 4 or less let it rest( keep the whole number and remove the decimal)

-1/2x+3=-x+7 what does x equal

Answers

Answer:

x = 8

Step-by-step explanation:

-1/2x+3=-x+7

Add x to each side

-1/2x+x+3=-x+x+7

1/2x +3 = 7

Subtract 3 from each side

1/2x +3-3 = 7-3

1/2x = 4

Multiply each side by 2

1/2x *2 = 4*2

x = 8

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