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

Given a square with two vertices of one side located at (-5. -3) and (-5, 12), in square units what is its area?
1. 847
2.704
3.479
4.225

Answers

Answer:

4. 225

Step-by-step explanation:

The distance between points (-5, -3) and (-5, 12) is the length of the side of the square. Since both points have an x-coordinate of -3, they lie on the same vertical line. The distance between them is |12 - (-3)| = |12 + 3| = |15| = 15. The side measures 15 units.

area = side^2

area = 15^2 = 225

Answer:

225

Step-by-step explanation:

Since the side length of the square is 15 units, a square has sides of the same length, therefore the other side lengths are also 15 units. A = b*h so 15*15=225


Name the natural regions in Texas.

Answers

Answer:

the Gulf Coastal Plains, the Great Plains, the North-Central Plains and the Basin and Range.

Step-by-step explanation:

What is the average rate of change for this exponential function for the
interval from x=2 to x 4?

A. 6
B.-6
C.-12
D.12

Answers

A because x2=4 and x4=16
(16-4)/2=6

A company makes paper labels for cans of soup. As shown below, each can us in a shape of a cylinder with a height of 8 cm and a radius of 5 cm. The paper label of wrapped around the dan and covers only the side of the can.( not the top or bottom) If the company makes 19 labels, how many square centimeters of paper will be needed? Use 3.14 for pi, and do not round your answer.

Answers

Answer: 4,772.8 cm2

Step-by-step explanation:

Hi, to answer this question we have to calculate measures of the rectangular label:

The width of the label is equal to the height of the can (8 cm), and the length is equal to the perimeter of the top or bottom of the can.

Perimeter of a circle (circumference): 2 π radius

Replacing with the values given:

C = 2 (3.14) 5 = 31.4 cm

So, the area of one label is:

Area of a rectangle: length x width = 31.4 x 8 = 251.2 cm2

Multiplying for the number of labels (19)

251.2 x 19 = 4,772.8 cm2

Feel free to ask for more if needed or if you did not understand something.

Segments AB, DC and Ec intersect at point C. Angel DCE measures 148. Find the value of x.

Answers

The image is attached.

Answer:

x = 16°

Step-by-step explanation:

Segment AB, segment DC and segment EC all intersect at point C.

Here, we are told angle DCE measures 148°.

This is a semi-circle, and the total angle of a semi-circle is 180°.

Which means, x+x+148 = 180

Solving for x, we have:

x+x+148 = 180

2x + 148 = 180

2x = 180 - 148

2x = 32

[tex]x = \frac{32}{2}[/tex]

x = 16°

The value of x is 16°

alan drove 693 miles in 11 hours
at the same rate how many would he drive in 8 hours

Answers

Answer:

His speed was = 693/11 = 63 miles/hour

For 8 hours, distance would be = 63 * 8 = 504 miles

So, your answer is 504 miles

hope this helps!!

Answer:

His speed was = 693/11 = 63 miles/hour

For 8 hours, distance would be = 63 * 8 = 504 miles

So, your answer is 504 miles

Step-by-step explanation:

Which type of graph would you use to show the number of pages in each book on the bookshelf?

Answers

Answer:

stem and leaf plot

Step-by-step explanation:

:) trust

Will give brainliest answer

Answers

Answer:

d =13 cm

r = 6.5 cm

Step-by-step explanation:

The diameter is the distance across the circle, going through the center

d = 13 cm

The radius is 1/2 of the diameter

r = d/2 = 13/2 = 6.5 cm

Answer:

Radius is 6.5

Diameter is 13

Step-by-step explanation:

The diameter is the distance across the circle. The radius is half the distance across the circle.

Please help! Choose all that apply.

Answers

Answer:

I believe that the answers are B & C

Step-by-step explanation:

Hope this helps! Please pick me as brainliest!

check out the square pyramid find the surface area of the square pyramid

Answers

Answer:

40 units

Step-by-step explanation:

So the square is the easiest do 4×4=16

The triangles its just Base×Height/2 in that order so 4×3=12/2=6

Mulitply 6 by 4 because there's 4 triangles and add 16 so 6×4=24+16=40

Hope this helped:)

⅝+¾ I need to know this pleas​

Answers

Answer:

1 3/8

Step-by-step explanation:

Answer:

5/8 + 3/4 = 9/8 = 1 1/8

Step-by-step explanation:

5/8 + 3/4

5/8 + 6/8

5/8 + 6/8 = 9/8

9/8 = 1 1/8

Aisha is playing a game in which she can gain or lose points on each turn. The table below
shows the points she scores on each of four turns in the game.
Aisha states that her highest score is on Turn 3, because 16 is greater than 3, 10, or 9. Use the
drop-down menus to explain Aisha's mistake.

Answers

Answer:

A score of -16 represents the lowest of points for these four turns.

The number for Aisha's highest score will be turn 2 on the number line.

That number is 10.  

Step-by-step explanation:

Since the options of the drop down menu are not included, you should choose any option similar to lowest.

Aisha's highest score was obtained in turn 2 and that is 10.

Aisha is comparing absolute terms, that is why she believes that -16 represents a good score, while in reality is the worst she got.

10 points need help asap​

Answers

Answer:

D

Step-by-step explanation:

Which of the following systems of inequalities has point D as a solution? Two linear functions f of x equals 3 times x plus 4 and g of x equals negative one half times x minus 5 intersecting at one point, forming an X on the page. A point above the intersection is labeled A. A point to the left of the intersection is labeled B. A point below the intersection is labeled C. A point to the right of the intersections is labeled D. f(x) ≤ 3x + 4 g of x is less than or equal to negative one half times x minus 5 f(x) ≥ 3x + 4 g of x is less than or equal to negative one half times x minus 5 f(x) ≤ 3x + 4 g of x is greater than or equal to negative one half times x minus 5 f(x) ≥ 3x + 4 g of x is greater than or equal to negative one half times x minus 5

Answers

The graph attached below shows the graph of the above functions f(x) and g(x). The points lie in the shaded region of the graph of f(x) and g(x). So, according to the graph attached below this option is correct.

Given:

f(x) = 3x+4

g(x) = -0.5x-5

Check option wise which systems of inequalities has point D as a solution:

A)

Given :

[tex]\rm f(x) \leq 3x+4[/tex]

[tex]\rm g(x) \leq -\dfrac{1}{2}x-5[/tex]

Draw the graph of both the given function in order to determine point D lies in it or not.

The graph attached below shows the graph of the above function. So, according to the attached graph, this option is incorrect.

B)

Given:

[tex]\rm f(x) \geq 3x+4[/tex]

[tex]\rm g(x) \leq -\dfrac{1}{2}x-5[/tex]

Draw the graph of both the given function in order to determine point D lies in it or not.

The graph attached below shows the graph of the above function. So, according to the graph attached below this option is incorrect.

C)

Given :

[tex]\rm f(x)\leq 3x+4[/tex]

[tex]\rm g(x) \geq -\dfrac{1}{2}x-5[/tex]

Draw the graph of both the given function in order to determine point D lies in it or not.

The graph attached below shows the graph of the above function. So, according to the graph attached below this option is correct. Therefore, don't check the further options.

For more information, refer to the link given below:

https://brainly.com/question/25140435

!! WARNING !! : THIS ANSWER IS IF YOU ARE FINDING THE LABEL B NOT D!!!!!!!!

OK, Let's make this easy. So,

B)

f(x) ≥ 3x + 4

g of x is less than or equal to negative one-half times x minus 5

(THERE IS AN IMAGE FOR THIS EQUATION IF THIS TEXT IS CONFUSING)

uPDATE: THIS IS CORRECT

PLS ASAP I NEED HELP!!!!!!!!!

Answers

Answer:

it's A- (12,8)

Step-by-step explanation:

i looked on desmos I'm not completely sure if this is the correct answer or not cause when i was looking at the graph none of them exactly lined up with S so I chose the one closest to aligning :p

What type of function is represented in the table? x|0|1|2|3|4|5|
A exponential B logarithmic C linear D quadratic. y|-1|0|-3|-10|-21|-36|

Answers

Answer:

This may be wrong but im guessing it is B.logarithmic

Step-by-step explanation:

The type of function is Quadratic.

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

x  0    1    2       3     4      5

y  - 1  0    - 3    - 10   - 21   - 36

As, we can see from the table ,

The first differences of the y-values are 1, 0, -3, -7, -11, -15, which are not constant.

However, the second differences are all equal to -4, which indicates that the function has a quadratic form.

Hence, the function is quadratic.

Learn more about function here:

brainly.com/question/23013748

#SPJ5

The density of oxygen is 0.001332 gram per cubic meter. Represent 0.001332 in scientific notation.

Answers

Answer:

1.332 × 10-3

Step-by-step explanation:

you move the decimal point to the right until there's only one digit on the left side of it. the exponent is 3 because that's the number of places you moved the decimal point, and it's negative because you moved it to the right. if you move the decimal to the left it is positive, to the right is negative :)

By basic calculation We can represent 0.001332 in scientific notation as [tex]1.332\times 10^{-3}[/tex]

What is scientific notation?

Scientific notation is a way of expressing numbers big numbers in short form with approximate values.

Given number is 0.001332

we can write 0.001332 as

1332/1000000

or we can write it as

1.332/1000

and now we can write it in Scientific notation form as  

[tex]\frac{1.332}{10^3}\\\\1.332\times 10^{-3}[/tex]

By basic calculation We can represent 0.001332 in scientific notation as [tex]1.332\times 10^{-3}[/tex]

To learn more about scientific notation visit :  https://brainly.com/question/5756316

Which trigonometric ratio for a˚ belongs with each value. Enter sin, cos, or tan in each box.

A right angle triangle with one angle a degree. The adjacent sides 6 and opposite side is 9. The hypotenuse 3 square root of 13.

= 313√13

= 213√13

= 32

Answers

Hey there! I'm happy to help you!

When talking about trigonometric ratios, we can use a handy little mnemonic device called soh cah toa which shows us the ratios for each one. Soh is sine equals opposite over hypotenuse, cah is cosine equals adjacent over hypotenuse, and toa is tangent equals opposite over adjacent.

In our triangle, we can apply the following with the given information.

[tex]sin=\frac{opposite}{hypotenuse} =\frac{9}{3\sqrt{13} } =\frac{3}{\sqrt{13} } =\frac{3\sqrt{13} }{13} \\\\cos=\frac{adjacent}{hypotenuse} =\frac{6}{3\sqrt{13} } =\frac{2}{\sqrt{13} } =\frac{2\sqrt{13} }{13} \\\\tan=\frac{opposite}{adjacent} =\frac{6}{9} =\frac{2}{3}[/tex]

Therefore, the answers will be sin, cos, and then tan going down in the answer order you gave!

I hope that this helps! Have a wonderful day!

48:11
Which graphed matches the equation + 6 =
- «+4)?

Answers

Answer:

Where are the graphs at

Step-by-step explanation:

cant explain without graphs


Mark had 45 football cards. Josh had twice as many football cards as Mark. Jo
then bought 5 more football cards. Which equation can be used to find f, the
number of football cards Josh has now?
A 2 x 45 + 5 = f
B 2 x 45-5 = f
C 2 + 45 x 5 = f
D 2 + 45 + 5=f
can someone help me please​

Answers

Answer:

I think It will be A. I’m trying my best to help

Step-by-step explanation:

Which choice is equivalent to the quotient shown here for acceptable values of x?

Answers

Answer:

(D)

Step-by-step explanation:

Equivalent expressions are expressions that have equal values

The equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]

The expression is given as:

[tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex]

Represent the expression as a quotient

[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x^2}{3x}}[/tex]

Evaluate the quotient

[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x}{3}}[/tex]

Hence, the equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

In the equality 5/X = X/20 if each X represents the same number, then X must equal

A. 5
B. 20
C. 10
D. 50
E. 4

Answers

Answer:

c.10

Step-by-step explanation:

because if you replace it with x both fractions will be 1/2 with is equal

How do you define the radian measure of an angle?

Answers

Answer:

it is the ratio of the length of the arc the angle forms÷the radius of the circle

A slice is made perpendicular to the base of a right rectangular pyramid through the vertex as shown below. What is the shape of the cross section? What is the area of the cross section? Explain with complete sentences and proper grammar.

Answers

Answer:

Shape: Triangle

Area: 27.5 cm

Step-by-step explanation:

Area formula for a triangle: b(base) x h(height) / 2

so, 5(11)/2 = 55/2= 27.5

1 point
10. Two sides of a triangle have
the following measures. Find the
range of possible measures for
the third side.
35, 29

7 6 8 9

Answers

Answer:

The range of possible measures for  the third side are 6 < x < 64.

Step-by-step explanation:

The sum of two sides of a triangle is always greater than the third side.

The two sides of a triangle are:

A = 35

B = 29

Suppose the third side is, C = x.

Then,

A + B > C

⇒ 35 + 29 > x

⇒ 64 > x

⇒ x < 64

But for the inequality theorem to be consistent for all the three sides, the third side must have a lower bound.

The difference between the two provided side is,

Diff = 35 - 29 = 6

The third side should not be less than 6 for the inequality theorem to hold.

Thus, the range of possible measures for  the third side are 6 < x < 64.

What is the sample space for a 5 sided number cube?

Answers

Answer:

{1, 2, 3, 4, 5}

Step-by-step explanation:

Sample space is the set of all possible outcomes. Supposing that the 5 sided number cube has numbers one to five on its sides, the possible outcomes are the numbers that can be rolled, then its sample space is: {1, 2, 3, 4, 5}

What is 3 1/2 times 2 4/5​

Answers

Answer:

9 4/5

Step-by-step explanation:

You can rewrite them into decimal. It would be 3.5 times 2.8 and you get 9.8 or 9 4/5

Answer:

49 /5  = 9.8

Step-by-step explanation:

How many pops of kernel come in a bag of popcorn?


Please choose one of the following answers below

70
120
200
100,000

Answers

Answer:

100,000

Step-by-step explanation:

I don't think they're give you 70 or 100,000 kernels so either 120 or 200. But if I had to choose one, it'd be 120 kernels.

A circle with circumference 6 has an arc with a
340º central angle.

Answers

Answer:

17.80236

Step-by-step explanation:

I need help with this please ASAP!!!

Answers

Answer:

11.3

Step-by-step explanation:

i used the theorem of Pythagoras

Answer:

11.3

Step-by-step explanation:

In a right angled triangle:  the square of the hypotenuse is equal to

the sum of the squares of the other two sides.

[tex]8^{2} + 8^{2} = x^{2}[/tex] (x is the hypotenuse)

64 + 64 = [tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 128

=> x = [tex]\sqrt{128}[/tex] = 11.3137085 = 11.3

Other Questions
Which river is connected to the Grand Canal (Letter S)? Ganges Yangtze Indus Volga Which of the following events greatly affected the United States andGreat Britain?a)The political party Tudeh, a democratic group, was abolished.b)The National Front, the party funded by western powers, was banned.c)Iran's oil industries were nationalized in 1951 by Prime Minister Mossadegh.d)Iran left the United Nations. Find the area of the shape shown below. The complement of 2017' is 9.A game show producer asked 100 randomly selected adults, Have you ever bungee jumped? Of the adults surveyed, 14 said Yes! Is there convincing statistical evidence that the true proportion of all adults that have bungee jumped is more than 10%?(A)No, because the difference between the sample proportion and the population proportion is only 0.04, which is not greater than 0.05.(B)No, because the probability of observing a sample proportion at least as large as 0.14, if the population proportion is 0.10, is greater than 0.05.(C)Yes, because the probability of observing a sample proportion at least as large as 0.14, if the population proportion is 0.10, is greater than 0.05.(D)Yes, because the probability of observing a sample proportion at least as large as 0.14, if the population proportion is 0.10, is less than 0.05.(E)Yes, because the difference between the sample proportion and the population proportion is 0.04, which is less than 0.05. Which describes the relationship among national governments?A.All national governments are legally equal.B.All national governments engage in alliances with other national governments.C.National governments of larger countries can tell governments of smaller countries what to do.D.National governments of allied countries can tell governments of non-allied countries what to do. For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3? The two-way table represents the results of a random survey taken to determine the preferred vehicle for male and female drivers. Given that the participant is a female, which choice is the conditional relative frequency that she prefers an SUV? According to the proclamation, what were African Americans promised in return for fighting for the British in the War of 1812? NEED HELP ASAP WILL GIVE BRAINLIEST Too many Americans at the time Miller was writing death of a sales man The american dream meant: Pam wants to include a video from a website in an upcoming presentation. However, she knows she will not have access to an internet connection when it is time to present her PowerPoint file. How can she solve this problem? Use the drop-down menus to answer the question.Answer:Download and SaveVideo On My PCMedia DNA is a molecule that stores____information in the cells Jadas family pulls into a gas station. Her mother fills up the cars tank with fuel from a pump. Jada notices this symbol on the pump.Image shows a pump at a gas station with a symbol of corn on it.What do you think the symbol indicates?A.This gasoline is to be used only in farm vehicles.B.It is not safe to have gasoline around food products.C.This gasoline can also be used as a fertilizer to help plants grow.D.A biomass has been used as part of the fuel. Where, in the cell, are proteins/enzymes constructed from the mRNA code can someone please help with this A redox reaction is set up so that both half reactions take place in separate beakers that are connected by a salt bridge and a wire. A path for the transfer of ions is provided by the? (1) anode (2) cathode (3) salt bridge (4) wire One way that the Mongols ruled over the diverse populations of China and East Asia was by building roads to maintain their empire. Which was another effect of building roads? please help me!!!!!!!a+b=9a+c=4b+c=5 . Find a+b+c. (A) 4 (B) 5 (C) 7 (D) 8 (E) 9show your work please.thanks! Help please!!!! ;-; staph scrolling [will mark brainleist]