prove that the sum of any 5 consecutive integers is divisible by 5

pls help me asap​

Answers

Answer 1
The sum of any 5 consecutive integers is, in fact, evenly divisible by 5! Because n was originally defined as an integer n+2 is also an integer. Therefore, the sum of any five consecutive integers is evenly divisible by 5 and the result is an integer with no remainder.

Related Questions

Can anyone answer this geometry question help pls!!

Answers

I think it could be 35

A 64-ounce bottle of apple juice costs $1.35. What is the approximate unit price for this bottle of apple juice?

Answers

The approximate unit price for the juice is about $0.50

Step-by-step explanation:

To find the unit price of an item, you must divide the price ($1.35) by how many units the item has (64 ounces). So 64 divided by 1.35 would be 47, or 50 since it's asking for the approximate unit price. Convert it and you have your answer. $0.50. Hope this helps :) I apologize if it's not completely correct

I need help please!! ​

Answers

y=-2x+5 that is your function

Answer:

y=-2x+5

Step-by-step explanation:

thats the equation because you use the formula, y=mx+b. b is the y intercept (the verticle straight line) and m is the slope. hope this helped!!

Evaluate the expression yz when x= 3, y=6 and z=12.

Answers

Answer: 72

Step-by-step explanation:

y=6, z=12

yz=6 x 12=72

Find the median of the
data. 7,5, 12, 8, 2,9,4

Answers

Answer:

7

Step-by-step explanation:

First, put them in numerical order: 2, 4, 5, 7, 8, 9, 12

Then cross out one from each side until  you get to the middle

The median of the given data set  7,5, 12, 8, 2,9,4 is 7.

What are the mode and median?

Mode is the highest frequency number while the median is the middle value of a data set after writing either increasing or decreasing manner.

For example;

Set { 1,2,2,3,4,5,6} here mode is 2 and median is 3.

Given the data set,

7,5, 12, 8, 2,9,4

If we write it in increasing order then,

2, 4, 5, 7, 8, 9, 12

Now median is middle value so here 7 is in between 3 - 3 from left and right.

Hence "The median of the given data set  7,5, 12, 8, 2,9,4 is 7".

To learn more about mode and median,

https://brainly.com/question/300591

#SPJ2

A model house has a scale of 3 cm : 6 m.
If the model house is 9 cm wide, then how
wide is the real house?

Answers

It is going to be 18 because 9/18 is going to equal 3/6. Or both of them will equal 1/2

here are two receipts from a meal in a restaurant one persons subtotal is $24.95 if the tax rate at the restaurant is 9.5% how much will their sale tax be?

Answers

Answer:

$24.95X.095=$2.37

Answer:

Step-by-step explanation: 3.27

A scatter plot showed a positive correlation for 11 bowlers. As the number of strikes, s, a bowler made in a game increased, the number of points, p, the bowler scores also increased. The equation for the line of best fit for the data is p=25s+40. Estimate the number of strikes made by a bowler with 140 points.

Answers

Answer:

s = 4

Step-by-step explanation:

The equation for the line of best fit for the data is p=25s+40.

Where p is no. of points and s is no. fo strikes

We need to find the number of strikes made by a bowler with 140 points.

Put p = 140

p=25s+40

140 = 25s+40

Subtract 40 to both sides,

140-40 = 25s+40-40

100 = 25s

⇒ s = 4

So, there are 4 strikes made by a bowler with 140 points.

Ricardo bought a bicycle that was discounted 20% off the original price. If the original price was $110.00, what was the price of the bicycle after the discount was applied?

Answers

Answer:

88$

Step-by-step explanation:

A store sells a 1/1/4 pound package of turkey for $9 whats the unit price of the turkey in the package

Answers

Answer:

$7.20

Step-by-step explanation:

The first step is to convert 1 1/4 to decimal form. 1/4=0.25, which when added to the 1 gives a total weight of 1.25 pounds. Dividing this by the price to find the unit price, you get 9/1.25=$7.20 per pound of turkey. Hope this helps!

Please help me ASAP!

Answers

Answer:

A and B are parallel to D and C

or

A and D to B and C

basically do a line and expand them if they touch they are not parralelogram but if they don't they are

hi guys can you help me with this maths calculation
$36 - $17.85 =

Answers

Answer and Step-by-step explanation:

36 dollars minus 17.85 dollars equals $18.15, or 18 dollars and 15 cents.

All you have to do is subtract 36 by 17.85

36 - 17 = 19

100 - 85 = 15

1 is subtracted from 19 because of the decimal.

18.15

#teamtrees #WAP (Water And Plant)

*BRAINIEST & 25 POINTS*

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

*irrelevant answers will be reported*

Answers

Answer:

63 degrees

Step-by-step explanation:

All angles add up to 180

(5x+6) + (4x-6) + (5x-2) = 180

put like terms together

5x+4x+5x + 6-6-2 = 180

14x -2 = 180

add 2 to both sides

14x = 182

divide both sides by 14

x=13

angle G is 5x-2, so if x=13, angle G is 5(13) -2

= 65  -2 = 63 degrees

please give thanks by clicking heart button :)

and crown if right

Please help me.
The coordinates for the vertices of quadrilateral ABCD are A(-3,2) B(-2,6) C(2,7) and D(1,3). Use this information to answer the questions below.
Slope of side AB:
A. 1/4
B. 4/1
C. -1/4
D. -4/1

Slope of side CD
A. 1/4
B. 4/1
C. -1/4
D. -4/1

Slope of side DA
A. 1/4
B. 4/1
C. -1/4
D. -4/1

Classify the quadrilateral
A. Square
B. Rectangule
C. Rhombus
D. Parallelogram
E. Trapezoid​

Answers

I don’t know if you are in a

What is the cube root of 864​

Answers

Answer:

Cube root of 864 can be represented as 3√864.

Answer:

9.52441

Step-by-step explanation:

[tex] \sqrt[3]{864} [/tex]

[tex] = \sqrt[3]{(9.524 \times 9.524 \times 9.524)} [/tex]

[tex] = 9.52441[/tex]

A shirt originally cost $46.25, but it is on sale for $37.00. What is the percentage decrease of the price of the shirt? If necessary, round to the nearest percent.

Answers

Answer:

20%

Step-by-step explanation:

Original cost = $46.25

Decreased cost = $37.00

Decrease in cost = 46.25 - 37.00 = $9.25

Percentage decrease

[tex] = \frac{9.25}{46.25} \times 100 \\ \\ = \frac{92500}{4625} \\ \\ = 20\% [/tex]

Erica sells magazine subscriptions and makes a flat rate of $5.35 for each subscription she sells. If Erica made $42.80 on Monday, $64.20 on Tuesday and $74.90 on Wednesday, how many subscriptions did she sell in the three days

Answers

to find the number of subscribtion sold we divide the money she made by the price of subscription

monday:

42.80/5.35=8 subscriptions sold

tuesday:

64.20/5.35=12 subscriptions sold

wednesday:

74.90/5.35=14 subscriptions sold

8+12+14=34 subscriptions sold in 3 days

Answer:

34 subscriptions she sold

Tomika heard that the diagonals of a rhombus are perpendicular to each other. Help her test her conjecture. Graph quadrilateral ABCD on a coordinate grid with A(1, 4), B(6, 6), C(4, 1), and D(–1, –1).

a. A rhombus has 4 sides that are equal length. Is ABCD a rhombus? Show how you know.


b. Write the equations of the lines on which the diagonals lie. That is, write the equations of lines AC and BD.


c. Compare the slopes of lines AC and BD. What do you notice?

Answers

Answer:

a. The four sides of the quadrilateral ABCD are equal, therefore, ABCD is a rhombus

b. The equation of the diagonal line AC is y = 5 - x

The equation of the diagonal line BD is y = 5 - x

c. The diagonal lines AC and BD of the quadrilateral ABCD are perpendicular to each other

Step-by-step explanation:

The vertices of the given quadrilateral are;

A(1, 4), B(6, 6), C(4, 1) and D(-1, -1)

a. The length, l, of the sides of the given quadrilateral are given as follows;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

The length of side AB, with A = (1, 4) and B = (6, 6) gives;

[tex]l_{AB} = \sqrt{\left (6-4 \right )^{2}+\left (6-1 \right )^{2}} = \sqrt{29}[/tex]

The length of side BC, with B = (6, 6) and C = (4, 1) gives;

[tex]l_{BC} = \sqrt{\left (1-6 \right )^{2}+\left (4-6 \right )^{2}} = \sqrt{29}[/tex]

The length of side CD, with C = (4, 1) and D = (-1, -1) gives;

[tex]l_{CD} = \sqrt{\left (-1-1 \right )^{2}+\left (-1-4 \right )^{2}} = \sqrt{29}[/tex]

The length of side DA, with D = (-1, -1) and A = (1,4)   gives;

[tex]l_{DA} = \sqrt{\left (4-(-1) \right )^{2}+\left (1-(-1) \right )^{2}} = \sqrt{29}[/tex]

Therefore, each of the lengths of the sides of the quadrilateral ABCD are equal to √(29), and the quadrilateral ABCD is a rhombus

b. The diagonals are AC and BD

The slope, m, of AC is given by the formula for the slope of a straight line as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore;

[tex]Slope, \, m_{AC} =\dfrac{1-4}{4-1} = -1[/tex]

The equation of the diagonal AC in point and slope form is given as follows;

y - 4 = -1×(x - 1)

y = -x + 1 + 4

The equation of the diagonal AC is y = 5 - x

[tex]Slope, \, m_{BD} =\dfrac{-1-6}{-1-6} = 1[/tex]

The equation of the diagonal BD in point and slope form is given as follows;

y - 6 = 1×(x - 6)

y = x - 6 + 6 = x

The equation of the diagonal BD is y = x

c. Comparing the lines AC and BD with equations, y = 5 - x and y = x, which are straight line equations of the form y = m·x + c, where m = the slope and c = the x intercept, we have;

The slope m for the diagonal AC = -1 and the slope m for the diagonal BD = 1, therefore, the slopes are opposite signs

The point of intersection of the two diagonals is given as follows;

5 - x = x

∴ x = 5/2 = 2.5

y = x = 2.5

The lines intersect at (2.5, 2.5), given that the slopes, m₁ = -1 and m₂ = 1 of the diagonals lines satisfy the condition for perpendicular lines m₁ = -1/m₂, therefore, the diagonals are perpendicular.

Justin and Elena each launched a toy rocket into the air. The height of Justin's rocket is modeled by the equation h = –16t2 + 60t + 2. Elena launched his rocket from the same position, but with an initial velocity double that of Justin's. Which equation best models the height of Elena's rocket? h(t) = at2 + vt + h0

Answers

Answer:

b

Step-by-step explanation:

Which equation describes a line with a slope of -1/2 that contains the point (-5, 2)?
A. x + 2y = 1
B. x - 2y = -1
C. x - 2y = 1
D. x + 2y = -1

Answers

Answer:

The equation x + 2y = -1 describes a line with a slope of -1/2 that contains the point (-5, 2) ⇒ D

Step-by-step explanation:

The slope of the linear equation of the form ax + by = c is m = [tex]\frac{-a}{b}[/tex] , where a and b are integers

Let us use this rule to solve the question

The slope of the line is [tex]-\frac{1}{2}[/tex] and the line contains the point (-5, 2)

We want to find which equation has the same slope and contains the point

A.

∵ x + 2y = 1

∴ a = 1 and b = 2

→ Use the rule above to find m

∴ m = [tex]\frac{-1}{2}[/tex]

The line has the same slope

→ Let us find if the line contains the point (-5, 2), by substituting x by -5

   and y by 2 in the left side of the equation if the answer equals

   the right side, then the line contains it

∵ L.S = -5 + 2(2) = -5 + 4 = -1

∵ R.S = 1

L.S ≠ R.S

The line does not contain the point (-5, 2)

B.

∵ x - 2y = -1

∴ a = 1 and b = -2

→ Use the rule above to find m

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

The line does not have the same slope

C.

∵ x - 2y = 1

∴ a = 1 and b = -2

→ Use the rule above to find m

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

The line does not have the same slope

D.

x + 2y = -1

∴ a = 1 and b = 2

→ Use the rule above to find m

∴ m = [tex]\frac{-1}{2}[/tex]

The line has the same slope

→ Substitute x by -5 and y by 2 in the left side

∵ L.S = -5 + 2(2) = -5 + 4 = -1

∵ R.S = -1

L.S = R.S

The line contains the point (-5, 2)

The equation x + 2y = -1 describes a line with a slope of -1/2 that contains the point (-5, 2)

help solve for x please!
x to the third power= -8

Answers

Answer:

X = 2

Step-by-step explanation:

2 x 2 x 2 = 8

Hope this helps. Pls give brainliest.

Answer:

2 :)

Step-by-step explanation:

Chef Rita is cooking for a Sunday brunch. She knows that 22 pancakes can feed 8 people. She is wondering how many people (p)(p)left parenthesis, p, right parenthesis she can feed with 55 pancakes. She assumes each person eats the same quantity of pancakes.
How many people can Rita feed with 55 pancakes?

Answers

Answer:we can solve the problem by setting a simple proportion.

We know that 22 pancakes can feed 8 people, so we have to find the number x which corresponds to the number of people that can be feeded with 55 pancakes:

Solving the proportion, we find

So, 55 pancakes can feed 20 people.

Step-by-step explanation:

22 pancakes = 8 people

--------------------------------------
Find 1 pancake :
--------------------------------------
1 pancake = 8 ÷ 22
1 pancake = 4/11 of a person

--------------------------------------
Find 55 pancakes :
--------------------------------------
55 pancakes = 4/11 x 55
55 pancakes = 20 people

----------------------------------------------------------------------------
Answer: 55 pancakes can feed 20 people.

I WILL GIVE YOU BRAINLIEST FOR THE CORRECT ANSWERS
1. 25x^(2)-35x+7y-y^(2)
2. a^2+8a+16b-4b^2
3. 9a^2-4b^2-3a+2b
Factor completely

Answers

1. 25x^2 - 35x + 7y - y^2
2. (a + 2b) (a - 2b + 8)
3. You keep this one the same because it is not factorable with rational numbers.

5) The sides of a quadrilateral are in the ratio 1:2:3:6. The perimeter is 138 cm.

Answers

Answer:

The first side is 11.5cm, the second is 11.5cm×2 = 23cm, the third is 11.5cm × 3 = 34.5cm,

and the fourth side is 11.5cm × 6 = 69cm.

Step-by-step explanation:

A quadrilateral is a 4 sided shape, while perimeter is the addition of all the sides of the quadrilateral. Since the sides of the quadrilateral is not stade, assume the sides of the quadrilateral is x, therefore 1:2:3:6 = x:2x:3x:6x. The total ratio is x+2x+3x+6x=12x, therefore 12x= 138 , x = 11.5cm, Therefore the first side is 11.5cm, the second is 11.5cm×2 = 23cm, the third is 11.5cm × 3 = 34.5cm, and the fourth is 11.5cm × 6 = 69cm.

(-2/10)^4 power


HELP MEE PLS​

Answers

Answer:

1/625

Step-by-step explanation:

simply

(-1/5)^4

1/625

Answer:

The answer is 1/625

Step-by-step explanation:

hope this helps

Help me please I'm so stuck lol 15 pts.!!

Answers

Answer:

r = 0.1

Step-by-step explanation:

Constant proportionality or slope(rate of change) is found by Y divided by X.

1.4(y) ÷ 14(x) = 0.1(slope)

1.6(y) ÷ 16(x) = 0.1(slope)

2.1(y) ÷ 21(x) = 0.1(slope)

Check Work:

14 x 0.1 = 1.4

16 x 0.1 = 1.6

21 x 0.1 = 2.1

Answer:

1/10.

Step-by-step explanation:

The proportionality equation is given to you: [tex]y = rx[/tex]

Next, plug in the given [tex]x[/tex] and [tex]y[/tex] variables into the equation:

When: [tex]x = 14[/tex] & [tex]y = 1.4[/tex]

[tex]1.4 = r(14)\\1.4 = 14r\\(1.4)/14 = (14r)/14\\1.4/14 = r\\r = 0.1[/tex]

When: [tex]x = 16[/tex] & [tex]y = 1.6[/tex]

[tex]1.6 = r(16)\\1.6 = 16r\\(1.6)/16 = (16r)/16\\r = 1.6/16\\r = 0.1[/tex]

When: [tex]x = 21[/tex] & [tex]y = 2.1[/tex]

[tex]2.1 = r(21)\\[/tex]

[tex]21r = 2.1\\(21r)/21 = (2.1)/21\\r = 2.1/21\\r = 0.1[/tex]

r = 0.1 in all of the given, ∴ 0.1 is your answer. Change the decimal into a fraction:

0.1 = 1/10

1/10 is your answer.

~

HELP, I have to turn this in tomorrow ... is this correct??

Answers

Answer: yes

Step-by-step explanation:

A sports team is ordering a new banner to hang over the entrance of their stadium. The banner will be a right triangle where one leg is 33 feet and the other leg is 56 feet. All three edges of the banner will be lined with a ribbon that costs $0.50 per foot. How much will the ribbon cost?

Answers

Answer:

The ribbon cost is $77

Step-by-step explanation:

Firstly, we need to get the 3rd side of the triangle

This represents the hypotenuse since we have 2 legs, we need the side connecting the legs

To get this, we use Pythagoras’ theorem

This states that the square of the hypotenuse equals the sum of the squares of the two other sides

Let the hypotenuse be marked x

Thus;

x^2 = 56^2 + 33^2

x^2 = 3136 + 1089

x^2 = 4225

x = square root of 4225

x = 65 feet

So the length of all the sides will be;

56 + 33 + 65 = 154 feet

So the cost of the ribbon will be;

154 feet. * 0.5

= $77

Find the measure of the indicated angle. Round to the nearest tenth of a
degree.

Answers

I’m pretty sure it’s A

Anyone? If you know it can you please help mee if you maybe know it please comment thanks I appreciate you all <:)

Answers

Answer:

Answer is 159

Step-by-step explanation:

Use PEMDAS

First, solve paranthesis

10² + 8² - 5

Then from left to right, solve the exponents

100 + 8² - 5

100 + 64 - 5

Then, add

164 - 5

Subtract

159

Answer:

=159

Step-by-step explanation:

10^2 + (3+5)^2 - 5

10^2 = 10 x 10 = 100

100+ (3+5) (3+5) - 5

100+(8)(8)-5

100+64-5

164-5

=159

Hope this helps! :)

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