Find the number of positive numbers less than 2020, which can be written as the sum of five consecutive positive numbers.

Answers

Answer 1

Integers*?

Let [tex]n[/tex] be the smallest of these five consecutive integers. Then the sum of the five consecutive integers is [tex]\frac{5(2n+4)}{2}=5n+10,[/tex] so we seek the largest positive integer [tex]n[/tex] such that [tex]5n+10<2020.[/tex] Solving this inequality, we find that [tex]n<402,[/tex] so there are [tex]\boxed{401}[/tex] such positive integers.


Related Questions

Triangle A’B’C’ is the image of triangle ABC.

On a coordinate plane, triangle A B C has points negative 4, negative 1), (negative 5, negative 5), (negative 3, negative 4). Triangle A prime B prime C prime has points (3, 4), (4, 8), (2, 7).

Which transformations could have been used to create A’B’C’ ? Choose all that apply.
a 180Degrees rotation about the origin and then a translation 3 units up and 1 unit left
a translation 3 units up and 1 unit left and then a 180Degrees rotation about the origin
a 90Degrees clockwise rotation about the origin and then a reflection over the y-axis
a 90Degrees counterclockwise rotation about the origin and then a reflection over the x-axis
a translation 3 units down and 1 unit right and then a 180Degrees rotation about the origin

Answers

The Answer is A and D

Hope this helps

Answer:

Its the First and Last answer on Edg

Step-by-step explanation:

I took the test

Will give brainliest, What types of solutions will a quadratic equation have when the discriminant b^2−4ac in the quadratic formula is zero?
Two non real solutions
One real solution
Two real solutions
No solutions

Answers

Answer:

B

Step-by-step explanation:

When a discriminant is zero, the quadratic equation has one solution.

f(x) = 5x^2 - x + 8
g(x) = 9x - 1

Answers

Answer:

Step-by-step explanation:

But there is not a question?

what are two methods you can use to find the area of a square. I WILL GIVE BRAINLIEST I NEED HELP QUICKKKKK

Answers

Answer:

To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.

Step-by-step explanation:

Answer:

For a rectangle, you get the length and width and multiply them

For a Square, you have to find one side length and mulitply it by itself

or you can split the square with a diagonal into 2 triangles, get the area of each and add them up

or split the square in half and find the area of both rectangles and then add them together

Step-by-step explanation:

For example, if the measure of one side of a square is 5, because all the other lengths are the same, you do 5 times 5 which equals 25 or 5^2 which is 25

Chang purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Chang pald.

Answers

Answer:

C=5n

Step-by-step explanation:

A linear function

Directly proportional

The grades on a geometry midterm at Springer are roughly symmetric with u = 73 and 0 = 3.0.
Umaima scored 72 on the exam.
Find the z-score for Umaima's exam grade. Round to two decimal places.

Answers

Answer:

z = - 0.33

Step-by-step explanation:

Given that:

Mean (μ) = 73, standard deviation (σ) = 3.0

Z score is a measure in statistics to determine the number of standard deviation a value is above or below the mean of what is measured. If the value is above the mean it is positive but if it is below the mean it is negative. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

To calculate z-score for Umaima's exam grade, we need to calculate the z score of 72

For x = 72, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{72-73}{3} =-0.33[/tex]

z = - 0.33

Answer:

−0.33

Step-by-step explanation:

just did it oh khan

Alina has been collecting video games for a year. The table below shows how many games she has received over
the year.
Amount of video games
4
Birthday
Holidays
School trades
8
6
At the end of the year, she went to a store and sold half of her video games.
Which numerical expression shows the amount of video games Alina has left after selling half?
Choose 1 answer:
(4+8) + (6 + 2)
2 : (4 +8+6)
© (4+8+6) : 2

Answers

the answer is C. because you add all of her games together that she has, but then she wants to sell half of them.

The numerical expression shows the amount of video games Alina has left after selling half will be (4 + 8 + 6):2. Then the expression C is correct.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Alina has been collecting video games for a year. The table below shows how many games she has received over the year.

                          Amount of video games

Birthday                             4

Holidays                            8

School trades                    6

Then the total number of the video games will be

⇒ 4 + 8 + 6

At the end of the year, she went to a store and sold half of her video games.

⇒ (4 + 8 + 6) / 2

⇒ (4 + 8 + 6) : 2

Then the expression C is correct.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Julie earns $1800 each month and pays $450 a month for rent. What percent of her income goes toward her rent?

Answers

Answer: 25%

Step-by-step explanation:

450/1800

Answer:

25 percent is what percent of her income that goes towards her rent

Percentages equal to 100% and how?

Answers

Answer:

2 or more percents add up to 100% or one percent is 100%

Step-by-step explanation:

Which values are solutions to the inequality below
Check all that apply

Answers

I honestly don’t know

Simplify the following expression
x^5/x^-2=x^n
A. 8
B. 2
C. 7
D. 10

Answers

Answer:

7

Step-by-step explanation:

x^5/x^-2=x^n

x^5=x^n×x^-2

x^5=x^-2+n

5=-2=n

n=7

this is 100% correct

plzz mark me brainliest

Factor the expression below.
x2 - 6x + 9
A.
(x + 3)(x + 3)
B.
3(x2 - 2x + 3)
OC. (x-3)(x-3)
OD.
(x - 3)(x + 3)
HELP

Answers

Answer:  (x-3)(x-3)

This is a perfect square trinomial in the form a^2 - 2ab + b^2 = (a-b)^2. In this case, a = x and b = -3.

Another way you can look at it is to ask yourself "what two numbers multiply to 9 (last term) and add to -6 (middle coefficient)?". Those two numbers are -3 and -3

-3 plus -3 = -6

-3 times -3 = 9

So this is why x^2-6x+9 = (x-3)(x-3)

We can expand (x-3)(x-3) back out to get x^2-6x+9 again using the FOIL rule, distributive property, or the box method.

Answer:

C. (x-3)(x-3)

Step-by-step explanation:

x² - 6x + 9 = 0

x² - 3x - 3x + 9 = 0

x(x - 3) - 3(x - 3) = 0

(x - 3) (x - 3) = 0

a baseball game has a total of 9 inning. in each inning there are 2 teams that each have to make 3 outs in order for the inning to be complete​

Answers

What is the question?

Celeste needs to create a keyword map that branches out from an image of the solar system. Which image best
shows the keywords that build to make up the solar system?
Sun
Sun
Sun
Mercury
Venus
Moon
Stars
Neptune
es
Earth
Venus
Earth
Uranus
Constellations
The Milky
Way
Mars
Saturn
Mars
Jupiter

Answers

Answer:

The Correct Answer Is C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A rectangle is 36 inches x 48 inches.
Pin.
What is its perimeter?
What is its area?

Answers

Answer:

Area is: 1,728 inches

Perimeter is: 168 inches

Step-by-step explanation:

Area= Length times width

Perimeter= length plus length plus width plus width.

Answer:

1.728 is the perimeter. the area is 84.

Step-by-step explanation:

all you do multiply for perimeter and add for area.

please answer this and please provide explanation since I need to explain in homework thank you I really appreciate it

Answers

Answer:

27648inches÷64inches=432 tiles

Step-by-step explanation:tiles cost 3456

I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!

Answers

a is the right answer.

find the missing angle in the triangle

Answers

Answer:

45

Step-by-step explanation:

Because this is an isosceles triangle, two of the angles must be equal. Since the third angle is 90 degrees, the other two must be 90/2=45 degrees. Hope this helps!

the answer is 45°

90/2=45

What are all the numbers congruent to #1?

Answers

Answer: All angles are congruient to 1

Step-by-step explanation:

So first of all, that shape is a rectangle. All angles of a rectangle are 90 degrees. So all angles are equal.

Answer: it is 90

Step-by-step explanation: so they are all congruent

Please justify the answer

Answers

Answer:

The age of the car in years is the independent variable

The average miles is the dependent variable

Step-by-step explanation:

Typically, the age of the car will have an affect on the number of miles per gallon. However, the number of miles per gallon will not make it gain or lose more years, so the age is independent because it does not depend on another variable.

Hope this makes sense :)

Write the following number in scientific notation:
0.0000487

Answers

Answer:

4.87 × 10-5

Step-by-step explanation:

Hopes this helps.

The answer is 4.87 x 10^-5

Find the 40th term of this arithmetic sequence 4,9,14,19

Answers

Answer:

199

Step-by-step explanation:

I believe it's 199. The interval is just 5.

Answer:

the answer is going to be more than 11111111111119 (this is the 26th term)

Step-by-step explanation:

What is the range for this data set?
37 years
9 years
41 years​

Answers

Answer:

30 years

Step-by-step explanation:

41 minus 11=

2. The length of the side of a square is
represented by the expression 2a²b. Which
term represents the area of this square?
A. 8a3b
B. 4a3b
C. 4a4b2
D. 2a6b2

Answers

B!!! Explanation: just took the test

To convert degrees Fahrenheit (F) into degrees Celsius (C) use the formula C=5/9(F-32) convert 50 degrees Celsius to Fahrenheit

Answers

Answer:

Step-by-step explanation:

C=5/9(F-32)

Or F-32=9/5C

Put  C=50

F-32=9/5 ×50

F-32=90

F=90+32=122°F

Are there more 3-digit numbers that can be divided by at least one of the numbers 4, 7, or 9, or 3-digit numbers that cannot be divided by either one of them? I need ASAP! HELP! please provide an explanation.

Answers

Answer:

Yes there are more 3-digit numbers that can be divided or not divided by 4, 7, or 9

Step-by-step explanation:

Any real number can be divided by those numbers but you may get decimals as well.

There are less 3-digit real numbers that can be divided by at least one of the numbers 4, 7, or 9. Therefore, it's false.

How to compute the number?

It should be noted that for a number to be divisible by 9 and 7, it has to be divisible by 63. Therefore, we have all the three digit multiple of 63.

In this case, there are less 3-digit real numbers that can be divided by at least one of the numbers 4, 7, or 9.

Learn more about real number on:

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making a sandwich with ham, turkey, or roast beef; swiss or provolone cheese; and mustard or mayonnaise. how many outcomes are there A. 14 C. 16 B. 12 D. 19

Answers

The answer is 12

Ham, swiss, mustard

Ham, swiss, mayonnaise

Ham, provolone, mustard

Ham, provolone, mayonnaise

Turkey, swiss, mustard

Turkey, swiss, mayonnaise

Turkey, provolone, mustard

Turkey, provolone, mayonnaise

Roast beef, swiss, mustard

Roast beef, swiss, mayonnaise

Roast beef, provolone, mustard

Roast beef, provolone, mayonnaise

What is the sticker price for a vehicle with the following features and costs: suggested retail price of $13,760, destination charge of $475, equipped with AC, cruise control, and a custom sound system for $800, $235, and $490, respectively?

$15,760


$13,760


$13,370


$11,760

Answers

Answer:

15,760

Step-by-step explanation:

I just added all of them...

The sticker price we just need to add all the extras to the suggested retail price. The total sticker price would be $15,760.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

To find the sticker price we just need to add all the extras to the suggested retail price:

suggested retail price       $13,760

air conditioner                    $800

cruise control                     $235

custom sound system       $490

destination charge            $475

total sticker price = 13,760 + 800 + 235 + 490 + 475

                              = 15,760

The total sticker price would be $15,760.

The sticker price includes all the extras that the car dealer adds to the MSRP, and is generally the price of ready-to-sell cars.

Learn more about addition;

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Help please help me I need this

Answers

Answer:

[tex]\frac{5+-\sqrt{53} }{2}[/tex]

Step-by-step explanation:

in the equation given these are the values:

a=1   b= -5     c= -7

if we plug this in the quadratic formula [tex]\frac{-(-5)+-\sqrt{(-5)^2-4(1)(-7)} }{2(1)}[/tex]

this is simplified to [tex]\frac{5+-\sqrt{53} }{2}[/tex]

hope this helped

The area of a wetland is 10,000 acres. A biologist predicts that the area of the wetland will change according to the equation y equals 10000 left-parenthesis 0.65 right-parenthesis Superscript x Baseline, where y is the area of the wetland after x years. Based on the biologist's prediction, what will the area of the wetland be in 2 years?

Answers

Answer:

4,225 acres

Step-by-step explanation:

If a biologist predicts that the area of the wetland will change according to the equation [tex]y = 10,000(0.65)^{x}[/tex] where;

y is the area of the wetland after x years

In order to determine the area of the wetland in 2 years based on the biologist prediction, we will substitute the value of x = 2 into the modeled equation as shown;

[tex]y = 10,000(0.65)^{2}\\y = 10,000 * 0.4225\\y = 4225[/tex]

The area of the wetland in 2 years based on the biologist prediction will be 4225 acres

Answer:

4225

Step-by-step explanation:

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