The sum of 5 consecutive integers is 270

Answers

Answer 1

The 5 (FIVE) consecutive integers are: 52, 53, 54, 55, and 56 .
______________________________________________________
The expression is written as:
________________________________________________
x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 270 ;
________________________________________________
in which the 5 (FIVE) consecutive integers are:
________________________________________________
x, (x + 1), (x + 2), (x + 3), (x + 4) .
________________________________________________
To find the 5 (FIVE) consecutive integers, we solve for "x" , and the plug in the the value of "x" for the expressions of the other integers.
________________________________________________
We have:
________________________________________________
x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 270 ;
________________________________________________
Rewrite as:
________________________________________________
x + x + 1 + x + 2 + x + 3 + x + 4 = 270 ;
________________________________________________
Combine the "like terms" on the "left-hand side" of the equation:
________________________________________________
x + x + x + x + x = 1x + 1x + 1x + 1x = 1x = 5x ;

1 + 2 + 3 + 4 = 10 ;
________________________________________________
→ 5x + 10 = 270 ;

Subtract "10" from each side of the equation;

5x + 10 − 10 = 270 − 10 ;

to get:

5x = 260 ;

Divide EACH SIDE of the equation by "5" ;

5x / 5 = 260 / 5 ;

to get:

x = 52 ;
____________________________________
x = 52 ;

x + 1 = 52 + 1 = 53 ;

x + 2 = 52 + 2 = 54 ;

x + 3 = 52 + 3 = 55 ;

x + 4 = 52 + 4 = 56 ;
___________________________
The 5 (FIVE) consecutive integers are: 52, 53, 54, 55, and 56 .
________________________________________________
Let us check our answer:
________________________________________________
52 + 53 + 54 + 55 + 56 =? 270 ?
________________________________________________
52 + 53 = 105;

105 + 54 = 159 ;

159 + 55 = 214 ;

214 + 56 = 270 ;

→ 52 + 53 + 54 + 55 + 56 =? 270 ? Yes!
_______________________________________

Related Questions

12 to the sixth power times 12 to the eighth power

Answers

THE ANSWER IS 1.2839185e+15

The answer is 1.283426565e14

Which expression represents the distance between −14.6 and −5.2 on the number line?

Drag and drop the correct expression

Answers

For this case we have that the distance between the points will be given by the absolute value of the difference of both:

[tex]d = | -14.6 - (- 5.2) | = | -14.6 + 5.2 | = | -9.4 | = 9.4[/tex]

This is equivalent to:

[tex]d = | -5.2 - (- 14.6) | = | -5.2 + 14.6 | = | 9.4 | = 9.4[/tex]

Asnwer:

[tex]| -14.6 - (- 5.2) | = | -5.2 - (- 14.6) | = 9.4[/tex]

How much cake will each person get if 3 people share 1 2 of a cake equally?
A) 1 6 B) 1 3 C) 2 3 D) 3 4

Answers

The answer would be 1/6 of cake.
Hope this helps

First, let's create an equation for this problem.
[tex] \frac{1}{2} [/tex] ÷ [tex] \frac{3}{1} [/tex]

Now, for division, you would flip the second fraction and change it to multiplication.
[tex] \frac{1}{2} [/tex] × [tex] \frac{1}{3} [/tex]

Now, all you have to do is solve it.
[tex] \frac{1}{2} [/tex] × [tex] \frac{1}{3} [/tex] = [tex] \frac{1}{6} [/tex]

Your answer would be A) [tex] \frac{1}{6} [/tex]

I hope this helps!

Do you simplify first or after you divide a fraction to a decimal

Answers

I think the answer is after

The marker cost 1/3 as much as the pen.the pen cost 1/3 as much as the book.the book cost 1/3 as much as the game.the price of the marker is what fraction of the price of the game??

Answers

Game = 1
Book = 1/3
Pen = 1/9
Marker = 1/27
Hope this will help

A store manager realizes that he has too many jeans in stock. After he finished taking inventory, he has a total of 688 jeans. He decides to reduce the stock by having a buy one get one free sale. That means that every purchase will reduce this inventory by 2 pairs of jeans.

The expression below describes this situation.

688−2x

In this expression, what does the term 2x represent?

A. the number of jeans purchased

B. the total amount of jeans in stock

C. the number of jeans the stock is reduced by from each sale

D. the number of jeans sold with each purchase

Answers

I think the answer is a
I don't know but i hope it will help

Answer:

Option C)

Step-by-step explanation:

We are given the following information in the question:

Number of jeans in inventory = 688

The store manager decides to reduce the the stock by giving a buy one get one free scheme. That means that every purchase will reduce this inventory by 2 pairs of jeans.

This can be represented with the help of equation:

[tex]688 - 2x[/tex]

where x is the number of jeans purchased.

In the above expression the term 2x is the total number of jeans sold, where x is the number of jeans sold. Due to buy one one free offer the jeans reduced from the inventory are double the jeans sold.

Thus, 2x in the equation means that every purchase will reduce the inventory by 2 pairs of jeans where x is the number of purchases.

What is true about triangle LMN? Check all that apply.

Answers

Triangle is defined as the joining of three non-collinear points. The triangles based on their properties can be isosceles, scalene, equilateral, and right-angled triangles.

In the given image, the correct statements for the triangle LMN are:

A. LM ⊥ MN

D. The triangle is isosceles.

E. The triangle is a right-angled triangle.

In the given image, a right-angled triangle can be an isosceles triangle, which has its two sides equal. The right-angled triangle is defined as the triangle having one of the angles at 90-degrees.

In the given image, LM is perpendicular to the MN.

Also, the triangle is isosceles, such that LM and MN are equal because the angles MLN and LNM will be 45-degrees.

Thus, the triangle is isosceles.

The triangle is right-angled because the line segment LM is perpendicular to the MN.

Therefore, triangle LMN is an isosceles and right-angled triangle.

To know more about triangles, refer to the following link:

https://brainly.com/question/15312999

The triangle is a right triangle.

Explanation of properties of triangle LMN including perpendicular segments, scalene triangle, and being a right triangle.

LM ⊥ MN: This statement indicates that segment LM is perpendicular to segment MN in triangle LMN.
The triangle is scalene: A scalene triangle has all sides of different lengths, indicating that the triangle is not equilateral or isosceles.
The triangle is a right triangle: Since LM is perpendicular to MN, this implies the triangle is a right triangle.

Complete question-
What is true about triangle LMN? Check all that apply.
LM ⊥ MN.

The triangle is scalene.

The triangle is equilateral.

The triangle is isosceles.

The triangle is a right triangle.

Mr. Rao buus a computer, a printer and a scanner for $2543. The computer costs $1502 more than the printer. The printer costs $123 more than the scanner. How much does Mrs. Rao pay for the computer?

Answers

1) total $ = 2543
2) x -> printer y-> computer z -> scanner
3) y = x + 1502
4) x = z + 123 -> x - 123 = z
5) 2543 = (x + 1502) + (x - 123) + x
6) 2543 = x + 1502 + x - 123 + x
7) 2543 = 3x + 1379
8) 2543 - 1379 = 3x
9) x = 388$
10) y = x + 1502
11) y = 1890$

computer costs 1890$

a babysitter earns $9 for 1 h and $36 for 4 h

Answers

9/9 is 1 36/4 is 9 hope this helped

For 1 hour= 9/9
For 4 hours= 36/4

solve math problem number 2

-3y -7 = 2

Answers

Add 7 to both sides.

-3y = 9

Divide -3 on both sides.

y = -3

Hope this helps!

First, add over the constant -7 to isolate the variable which leaves you with -3y=9. Finally, divide out the -3 which will leave you with your answer: y=-3

Shirley has to travel 1600 meters to get to school. How many dekameters does she have to travel?

Answers

Shirley has to travel 160 dekameters.

Here is your answer:

1,600m=160dkeameter
Just remember that when you are converting like this divide by 100 and you will get your conversation

Your answer is:
=160dekameters

You earned $43.70. You would like to buy some new T-shirts. Estimate the number of T-shirts you can buy if each one costs $5.45. 9 T-shirts 10 T-shirts 8 T-shirts 7 T-shirts

Answers

The answer is 8 shirts. Just do 5.45 (Times) 8=43.60

A square pond is to be built in a park. The pond is 50 meters long and 50 meters wide. There should be a tile sidewalk 5 meters wide all around the pond. The tile is sold in crates of 45 square meters of tile. What will the tile cost if the cost of each box of tile is $74?

Answers

area of the pond is 50*50 = 2500 square meters

the walkway is 5 meters wide so the outside dimensions would be 60 meters by 60 meters

area of that is 60 *60 = 3600 meters

area of walkway is 3600 - 2500 = 1100 square feet

number of crates needed: 1100 / 45 = 24.44, round up to 25 crates

25 crates x $74 each = $1,850 total

write 47/21 as a decimal rounded to the nearest tenth

Answers

The answer is 2.2 .... hope this helps!! :D

47/21 can be written as decimal rounded to the nearest tenth as 2.2.

What is Decimals numbers?

Decimal numbers are numbers which has basically a whole number part and a fractional or decimal part after a point called decimal point.

Decimal number system describes the base 10 number system.

The given number is 47/21

This is in the fractional form.

We have to make it in the decimal form.

The actual quotient got when we divide 47 by 21 is,

47/21 = 2.238095

But we need it in the rounded form which is rounded to the nearest tenth.

The tenth place value digit is 2.

The next digit is 3 which is less than 5.

So rounded to the nearest tenth is 2.2.

Hence 47/21 can be written as decimal rounded to the nearest tenth as 2.2.

Learn more about Decimals here :

https://brainly.com/question/548650

#SPJ2

A box contains 10 cups of pancake mix. You use 2/3 cup each time you make pancakes. How many times can you make pancakes?

Answers

Do 10 divided by 2/3.

10/1 * (the reciprocal of 2/3) 3/2

It equals 30/2 or 15

Hope this helps!

for each equation, find the ordered pair whose x-coordinate is -4.

1. y=18-5x 2. 2x + 3y=4 3. -7 + 6y=10

Answers

Final answer:

To find the ordered pairs with an x-coordinate of -4 for the given equations, substitute -4 for x in the first two equations and solve for y. The resulting ordered pairs are (-4, 38) and (-4, 4). The third equation does not contain x, so no ordered pair can be found for it.

Explanation:

To find the ordered pair whose x-coordinate is -4 for each given equation, we will substitute x with -4 and solve for y.

Equation 1: y = 18 - 5x

Substitute x with -4:

y = 18 - 5(-4) = 18 + 20 = 38

The ordered pair is (-4, 38).

Equation 2: 2x + 3y = 4

Substitute x with -4:

2(-4) + 3y = 4

-8 + 3y = 4

3y = 4 + 8

3y = 12

y = 12 / 3

y = 4

The ordered pair is (-4, 4).

Equation 3: -7 + 6y = 10

This equation does not contain x, therefore we cannot find an ordered pair with x-coordinate -4.

Final answer:

The ordered pairs with an x-coordinate of -4 for each equation are: (-4, 38) for y=18-5x, (-4, 4) for 2x+3y=4, and there is no ordered pair possible for -7+6y=10, as the equation does not contain an x-variable.

Explanation:

To find the ordered pair whose x-coordinate is -4 for each given equation, we substitute x with -4 and solve for y:

For y = 18 - 5x, when x = -4:
y = 18 - 5(-4)
y = 18 + 20
y = 38
The ordered pair is (-4, 38).

For 2x + 3y = 4, when x = -4:
2(-4) + 3y = 4
-8 + 3y = 4
3y = 4 + 8
3y = 12
y = 12 / 3
y = 4
The ordered pair is (-4, 4).

For -7 + 6y = 10, we do not need to substitute x here because it is not present in the equation and no x-coordinate is needed to solve for y. This equation can be solved directly for y by isolating it:
-7 + 6y = 10
6y = 10 + 7
6y = 17
y = 17 / 6
y ≈ 2.83
The value of y is approximately 2.83, but since no x-coordinate is provided we cannot create an ordered pair.

What is the value of b in -3b+5=13

Answers

The value of "b" would be -8/3. This is a two steps equation which can be solves by two steps, adding or subtracting, and multiplying or dividing, in this case, it's going to be subtracting and dividing. First of all, you need to get the
"b" value by itself, so subtract 5 from both side, which will left you with -3b=8. Then, all you need to do left is divide, in this case, you going to divide -3 from both sides, and b is equal to -8 over 3, or b=-8/3.

Hope this help you.

find x from the triangle

Answers

the 3 angles need to equal 180 degrees

so x = 180 - 74 - 52

x = 54 degrees

Solve for x. The triangles in each pair are similar. Triangle CBA is similar to Triangle VUT.

Answers

x=44.3
((-176+10x)/216)=(121/99) and solve for X

The monthly finance charge on a charge account is 1.5% on the unpaid amount up to $500, and 1% on the unpaid amount over $500. What is the charge on an unpaid amount of $750?

Answers

the charge would be $10

Answer:10

Step-by-step explanation:

find the lateral area of the pyramid to the nearest whole number.

Answers

I believe the answer is d.

if 4 cans of tomato sauce cost $2, what is the unit price for 1 can of tomato sauce? show your work.

Answers

$2 divided by 4 cans equals 0.50 so each can would cost 50 cents.

How is the slope formula related to the definition of slope

Answers

slope is the rise over the run or the rate at which something is changing which is the same as saying the slope is the change(or distance ) in y over the change in x . the slope forumal is y2-y1/x2-x1. directly related to one anotehr

The formula for slope measures the steepness (or angle) of a line by measuring the rise (y) over the run (x). Slope = Rise/Run.

3 Questions!! Please help with all!!!

1. Which of the following is a solution of 12 x - 7 > 6?

2. True or False?
In the set of real numbers, the first number less than -3 is -4.

3. The difference between a number and seven is less than or equal to -3.
Find the possible numbers.

n ≤ -10
n ≥ -10
n ≤ 4
n ≥ 4

Answers

1. You will have to provide the answers.

2. I believe the answer to this is false. You might want to double check with somebody, just in case.

3. n≥4

Hope this helps.

Answer: I took this test awhile back; Hope this helps! Please mark Brainliest! :)

Step-by-step explanation:

1. Which of the following is a solution of 12 x - 7 > 6?

-1

2. True or False?

In the set of real numbers, the first number less than -3 is -4.

False

3. The difference between a number and seven is less than or equal to -3.

Find the possible numbers.

n ≤ 4

n-7≤-3

n-7+7≤(-3+7=4)

n-7≤4

n-7 is no more than 4.

Graph the line for y − 6 = −4(x+2) on the coordinate plane.
What are the points I would graph???

Answers

First graph (-2,6)
Then from that point count 4 spaces up and one to the left—that is the second point

y=2x+4

The y-intercept is 4.

The x-intercept is -2.

The slope is 2.

The point (2,-6) runs through the line.

Jacob is making spaghetti for the Anderson family reunion. He will use 14 boxes of spaghetti, with a total weight of 168 ounces. What is the rate of boxes of spaghetti to number of ounces?

Answers

Step-by-step explanation:

There are 14 boxes to 168 ounces.

Answer:

There are 14

✔ boxes to 168 ounces

Step-by-step explanation:

Jenny is in charge of ordering T-shirts for the math club at her school. If she paid $252 for 21 T-shirts, which of the following statements is true?
A. Jenny paid $252 for 21 T-shirts, which is a rate of $21 per T-shirt.

B. Jenny paid $252 for 21 T-shirts, which is a rate of $231 per T-shirt.

C. Jenny paid $252 for 21 T-shirts, which is a rate of $33 per T-shirt.

D. Jenny paid $252 for 21 T-shirts, which is a rate of $12 per T-shirt.

Answers

The answer is D because as she paid $252 for 21 shirts, the equation is $252 divided by 21(shirts) which gives you the price for one shirt, which equals $12
Hope his helps : )

Please help what is the area of a square that is 12.4 cm on each side

Answers

To find the area of the square multiply the length by the height.

12.4 × 12.4 = 153.76

In the last election, candidate C received 15,000 fewer votes than candidate B. If a total of 109,000 votes were cast, how many votes did candidate B receive?

Answers

Hello, so let's break this down.

There is a total of 109,000 votes all together.

If you want to find out how much candidate B received, all you need to do is subtract 15,000 from 109,000 which would be 94,000.

If you want to make sure that is correct, add candidate B's total votes from candidate C's total votes if it adds up to 209,000 (94,000+15,000 = 209,000).

Hope this helps! =)

Let x be the votes candidate B received.

x - 15,000 = 109,000
Add 15,000 to the other side
x = 124,000

Candidate B received 124,000 votes.

Hope that helped! :)

Write 2 addition word problems using 3-digit numbers and solve them using any strategy

Answers

Here’s one.
Matt was gifted $200 from his parents for his birthday. His friend gave him $100. How much money does Matt have now?
200+100=300
Matt has $300.

4+7+3=14
i added 3+7 it gived me 10 and then i added 4 and it gived me 14.

10+42+4=56
I added them all at once.

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