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

Answers

Answer 1

Answer:Let n = the smallest integer

Then the other integers are n+1, n+2, n+3 and n+4

Sum = n + n+1 + n+2 + n+3 + n+4 = 5n + 10 = 5(n + 2)

So the sum is always divisible by 5, for any value of n

Step-by-step explanation:


Related Questions

To ensure profits, a store is going to sell a sweater for 115 percent of the production cost. It costs $10 to make the sweater. Below are the calculations for finding the selling price. What mistake did the store owner make? (Original Cost)(Percent) = New Cost ($10)(0.115) = $1.15 The new cost is correct. The owner should have divided by 0.115. The owner should have multiplied by 11.5. The owner should have multiplied by 1.15.

Answers

Answer:I did the test and the answer is The owner should have multiplied by 1.15.

Step-by-step explanation:

Sample text

To make the calculation 115 percent of the production cost , the owner should have multiplied by 1.15 to the production cost.

What is percentage?

" Percentage is defined as the hundredth part of any given number".

According to the question,

Production cost of a sweater = $10

To ensure profit , selling price = 115 percent of the production cost

(Original Cost)(Percentage)

[tex]= (10)(\frac{115}{100} )[/tex]

[tex]= $11.5[/tex]

Hence, to make the calculation 115 percent of the production cost , the owner should have multiplied by 1.15 to the production cost.

Learn more about percentage here

https://brainly.com/question/13450942

#SPJ3

Drag an expression or phrase to each box to complete the proof.


It is given that JKLM is a parallelogram, so JM ll KL by the ____


. Therefore, ​∠1​ ≅∠2 by the corresponding angles postulate. Also, it is given that _____ ≅∠3, so ∠1≅ ____by the ____

Answers

JM is parallel to KL by the definition of parallelogram (opposite sides of any parallelogram are parallel)

Therefore, angle 1 = angle 2 by the corresponding angles postulate

We're also given angle 2 = angle 3

So angle 1 = angle 3 by the transitive property of congruence

9(8 - x) = 3x
Will mark brainlest!

Answers

Answer: x = 6

Step-by-step explanation:

9(8 - x) = 3x

72 -9x = 3x

add 9x to both sides

72 = 12x

divide 72 by 12

x = 6

Solve this equation.
5(x+8)-1=20+2(x+8)
using the pen
feature. Show all of
your work.

Answers

Answer:

5(x+8)-1=20+2(x+8)

or, 5x + 40 -1 = 20 + 2x + 16

or, 5x-2x = 20+ 16 -39

3x = -3

x = -1

Step-by-step explanation:

Find the measure of angle C of △ABC, if:
m∠A=60°+α, m∠B=60°−α.

Answers

Answer:

In a triangle, sum of three angles=180°

So, A+B+C=180

C=180-A-B

C=180-60-a-60+a

C=60°

Hope it helps :-)

bill dupp lumber yard charges $2.80 for each cubic foot of sand delivered,plus $50 to deliver the sand. write an equation for the relationship using function notation

Answers

Answer:

$2.80x x 50

Step-by-step explanation:

That would be f(x)=2.80x+50.

What are the 2 steps that are wrong

Answers

Answer:

Step-by-step explanation:

Step 2 to Step 3.

This is a major error. Minus signs always create trouble.

4 - 21 = -17

To this you add 30

- 17 + 30 = 13

So the answer is sqrt(13)

Answer:

Step 3 to step 4

In a quiz show, I get 23 out of 50 questions right. What
percentage did I get right?

Answers

Answer:

46%

Step-by-step explanation:

percentage=23÷50×100%

=46%

Answer:

I'm not sure but i think it's 46% of questions

Cole and his friends made a line plot of hours they spend watching TV after school, which is the difference between the greatest amount of time spent watching TV at the least amount time.

Answers

Answer:

what

Step-by-step explanation:

Answer:

i need more intel like numbers

Step-by-step explanation:

The price of apples can be determined by the equation P = 0.23n, where P is the price and n is
the number of apples. What is the constant of proportionality (unit rate)?

Answers

Answer:

0.23

Step-by-step explanation:

Basically, the unit rate is how much its increasing every time you add on. So if it were 2+2+2 the unit rate would be 2! Hope this helps!

Is quadrilateral DEFG a parallelogram? Why or why not? Question 16 options: A) No, because opposite sides aren't parallel. B) Yes, because opposite sides aren't congruent. C) Yes, because opposite sides are parallel. D) There isn't enough information.

Answers

a) no because opp sides are not parallel

Answer:

No, because opposite sides aren't parallel.

Step-by-step explanation:I took the test

Somebody plz answer this correct!!
Grade 4math
(Mark as brainliest if correct)

Answers

It would be an approximate answer because you don’t know how long it would actually take to do that task

I mean, it depends how long it will take you to shovel the snow please add more context if I read this wrong below!

(Mark as Brainliest Please)

Step-by-step explanation:

4 Reynaldo paid $41.25 for 5 pizzas. Each pizza cost the same amount. What was the cost of each pizza in dollars and cents?

Answers

Answer: Each pizza costed $8.25

Step-by-step explanation:

You have to divide $41.25 / 5 to find the cost of each pizza

Solve for x.
5/3=x-4/2
Simplify your answer as much as possible.

Answers

Answer:

22

Step-by-step explanation:

5/3=x-4/2

10=x-12

x=22

Answer:

[tex]3 \frac{2}{3}[/tex]

Step-by-step explanation:

5/3 = x - 4/2

5/3 + 4/2 = x

11/3 = x

x = 3 2/3

Point E is on line segment DF. Given DE = 12 and EF = 6, determine the
length LF.

Answers

Answer: 29

Step-by-step explanation:

Answer:

DF=18

Step-by-step explanation:

4x-6=x+9 i need help can someone show the work too please

Answers

Answer:

x = 5

Step-by-step explanation:

instructions in pic :)

4x - 6 = x + 9

4x - 6 - x - 9 = x + 9 - x - 9        [Subtract x + 9 from both sides]

3x - 15 = 0

3x - 15 + 15 = 0 + 15                  [Add 15 to both sides]

3x = 15

3x/3 = 15/3                                [Divide both sides by 3]

x = 5

find the value of each power 5^-2

Answers

Answer:

5⁻² = 1/25

3⁴ = 81

Step-by-step explanation:

  5⁻² = 1/5² = 1/25    3⁴ = 3² * 3² = 9*9 = 81

what is 19.2 x 10^9 minutes in hours ANSWER ASAP PLSS

Answers

Answer:

19200000000

Step-by-step explanation:

1000000000 is 10^9. Then that times 19.2 is 19200000000.

(Hope this helped and have a great day)

(please mark this brainliest)

Please help brainiest !!

Answers

Answer:

2760 ft^3

Step-by-step explanation:

volume of a cube formula:

Length * width* height

volume of the big cube

= 11*10*22

= 2420 ft^3

volume of the small cube

=7*4*10

=280 ft^3

now to find the total volume

= volume of the big cube + volume of the small cube

=2420 + 280

=2760 ft^3

Alebra 1 - 10pts
Solve for x.

x/4 ≥−8

A. x≤−2

B. x≤−32

C. x≥−32

D. x≥−2

Answers

Answer:

C. x≥−32

Step-by-step explanation:

Multiply both sides by 4

Answer:

C, you have to multiple both sides. Let me know if you need it explained further.

Step-by-step explanation:

Multiply (−7)(2)(−2).

Answers

Answer:

28

Step-by-step explanation:

-7 × 2 = -14Plug -14: -14 × -2-14 × -2 = 28

I hope this helps!

Answer:

28!

Step-by-step explanation:

HELP ME PLESA IM DESPO PAKJDCD PLS HELP

Answers

Answer:

144 cm²

Step-by-step explanation:

A prism's surface has 2 triangles & 3 rectangles.

In both the triangles , length of :

Perpendicular = 4 cm

Base = 6 cm

So , Area of both triangles = [tex]2(\frac{1}{2} * Base * Perpendicular) = 2(\frac{1}{2}* 6 * 4) = 24 cm^2[/tex]

In the 3 rectangles ,

Length = 8 cm

Width = 5 cm

So , Area of the rectangles = [tex]3( Length * Width) = 3(8 * 5) = 120 cm^2[/tex]

Hence the total surface area of the prism is = 120 + 24 =144 cm²

Matthew drove 74 miles in 2 hours. On average,how fast did he drive in hours per mile?

Answers

Answer:

37 mph

Step-by-step explanation:

Step 1:

74 ÷ 2

Answer:

37

Hope This Helps :)

variable definition?

Answers

the number beside the letter . for example 6x, 6 would be the variable

Write an algebraic expression that represents the following statement: “7 less than the quotient of 5 and n" *

Answers

[tex]\huge\boxed{\boxed{\bold{\frac{5}{n}-7}}}[/tex]

[tex]\hrulefill[/tex]

We'll start with the expression for the quotient of [tex]5[/tex] and [tex]n[/tex], which means we'll use division:

[tex]\frac{5}{n}[/tex]

Now we find [tex]7[/tex] less than that, meaning we'll use subtraction:

[tex]\frac{5}{n}\bold{-7}[/tex]

Of the 900 high schoolers, 45 are autistic. On the pie chart, what will be percent for the sector of autistic students?

A.5
B.7
C.6
D.4

Answers

The answer would be 5%.
The answer is A - 5%

What is 727,356 rounded to the nearest ten thousand

Answers

Answer:

There is no decimal point, therefore, nothing to round.

The answer would be the same since there’s no decimal


Find the slope of the line between the points (1, 4) and (-1,6)

Answers

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (- 1, 6)

m = [tex]\frac{6-4}{-1-1}[/tex] = [tex]\frac{2}{-2}[/tex] = - 1

A sequence starts 1/2,1/4,1/8 follow your to write the next 3 terms in the sequence

Answers

Answer:

1/16, 1/32, and 1/64

Step-by-step explanation:

The denominator is multiplying by 2 while the numerator stays the same.

8x-4y=-4 solve for y

Answers

answer:

y=1+2x

step by step solution:

8x-4y=-4 subtract 8x from both sides

-4y=-4-8x divide by -4 on both sides

y=1+2x
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