The sum of four
consecutive odd number is 8o. Find the number​

Answers

Answer 1

Answer:

The sum of 4 consecutive odd number is 80

Let X be the first of these numbers

Then the next odd number is X+2

The third is X+4The fourth is X+6

All of these add up to 80

(X) + (X+2) + (X+4) + (X+6) = 80

Using the commutative and associative laws, let's transform this equation into

(X + X + X + X) + (2 + 4 + 6) = 804X + 12 = 80

Subtract 12 from both sides of the equation gives4X = 68

Divide both sides by 4 gives

X = 17

Going back to the original question:What are the 4 consecutive odd numbers: 17, 19, 21, 23Checking our answer:17 + 19 + 21 + 23 = 80 Correct!


Related Questions

Line l has a slope of −6/13. The line through which of the following pair of points is perpendicular to l? A. (13,−4),(−7,2) B. (6,−4),(−7,2) C. (2,6),(−4,−7) D. (6,9),(−4,−4)

Answers

Answer: Choice C.  (2,6) and (-4,-7)

=========================================================

Explanation:

The original line has a given slope of -6/13. The opposite reciprocal is 13/6. We flip the fraction and the sign from negative to positive.

With any two perpendicular slopes, they always multiply to -1

(-6/13)*(13/6) = (-6*13)/(13*6) = -78/78 = -1

--------------------

Since the perpendicular slope is 13/6, we need to see which of the four answer choices produces a slope of 13/6. Use the slope formula.

This is something you do through trial and error. You could start with A and work your way to D, or just pick at random. I'll go through each one by one starting at choice A.

---------------------

Let's try choice A

m = (y2 - y1)/(x2 - x1)

m = (2 - (-4))/(-7 - 13)

m = (2 + 4)/(-7 - 13)

m = 6/(-20)

m = -3/10, we can see that choice A is not the answer, since we want m = 13/6 instead.

-----------------------

Let's try choice B

m = (y2 - y1)/(x2 - x1)

m = (2 - (-4))/(-7 - 6)

m = (2 + 4)/(-7 - 6)

m = 6/(-13)

m = -6/13, that doesn't work either

------------------------

Let's try choice C

m = (y2 - y1)/(x2 - x1)

m = (-7 - 6)/(-4 - 2)

m = -13/(-6)

m = 13/6, we found the answer

------------------------

For the sake of completeness, here is what choice D would look like

m = (y2 - y1)/(x2 - x1)

m = (-4 - 9)/(-4 - 6)

m = -13/(-10)

m = 13/10, which isn't the slope we want

Find the zeros of the quadratic function f(x) = 1/2(x- 7)^2 – 8​

Answers

Answer:

x = 11 or 3

Step-by-step explanation:

f(x) = (1/2)(x- 7)² – 8​

to find the zeros, we equate f(x) = 0

f(x) = 0

(1/2)(x- 7)² – 8​ = 0      (add 8 to both sides)

(1/2)(x- 7)² = 8     (multiply both sides by 2)

(x- 7)² = (8)(2)

(x- 7)² = 16

x-7 = ±√16

x-7 = ±4

hence,

x - 7 = 4

x = 4 + 7

x = 11

or

x - 7 = -4

x = -4 +7

x = 3

Answer:

x = 11 or 3

Step-by-step explanation:

I confirmed the answer in grandpoint.

If you owe your friend $3 and you have $15, which expression would help you find out how much money you would have left?

Answers

Answer:

12

Step-by-step explanation:

15 - 3 = 12

Answer:

both of them are right

Step-by-step explanation:

in the diagram EF and GH are straight lines. Find the values of a,b,c and d​

Answers

Answer: a = 76, b = 70, c = 70 and d = 70

Explanation:

a = 76 (corresponding angle)
b = e = 70 (corresponding angle)
d = e = 70 (vertically opposite angle)

Given the function f(x) = 3x - 1, explain how to find the average rate of change between x = 1 and x = 4.

Answers

Step-by-step explanation:

f(1) = 3×1 - 1 = 2

f(4) = 3×4 - 1 = 12-1 = 11

so, the functional value changes 11-2=9 units on an x interval of 4-1=3 units length.

the average change rate is the total change across the x interval relative to the interval length.

that is

9/3 = 3

which is the slope (= the factor of x) in the line equation.

for a line its change rate for any point is the same constant. and that is therefore automatically also the average change rate across an interval of x values.

if the change rate would be different for different parts of the function, it would not be a straight line.

Answer:

3

Step-by-step explanation:

The average rate of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 1, 4 ] , then

f(b) = f(4) = 3(4) - 1 = 12 - 1 = 11

f(a) = f(1) = 3(1) - 1 = 3 - 1 = 2

average rate of change = [tex]\frac{11-2}{4-1}[/tex] = [tex]\frac{9}{3}[/tex] = 3

Write 12 more than r as an expression

Answers

Answer:

12+r

Step-by-step explanation:

"more than" means Addition.

How do i work out the area of a circle that equals 5000

Answers

Answer:

Radius is 39.89422804 units

Step-by-step explanation:

Area of circle can be calculated with the formula: [tex]\pi r^{2}[/tex]

The area of the circle is 5000.

[tex]\pi r^{2}[/tex]= 5000

If you're looking for the radius, solve for r.

[tex]r^{2}[/tex]= [tex]\frac{5000}{\pi }[/tex]

r= [tex]\sqrt{\frac{5000}{\pi} }[/tex]

r= 39.89422804 units

If a system of linear equations has no solution, what does this mean about the two lines?

Answers

Answer:

The two lines do not intersect, and are parallel to one another on a graph.

Step-by-step explanation:

A system of equations consists of two or more equations with two or more variables. The solution to these variables must satisfy all of the variables in the equations in the system at the same time. Usually, all the equations in the system are considered and solved simultaneously. A linear equation might have a unique solution, an infinite solution, or no solution at all.

A system with exactly one solution is called a consistent system, and it is said to be independent, and the graph of its lines intersects at the point that is the solution to the equations. A system with an infinite number of solution is said to be dependent and the lines are coincident on a graph.

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, and the lines are parallel to one another on the graph.

For two lines of linear equations to have no solution, they must be parallel to each other i.e they must have the same slope.

The standard form of writing linear equation is expressed as y = mx + b

m is the slope of the line

b is the y-intercept

For two lines of linear equations to have no solution, they must be parallel to each other i.e they must have the same slope.

For instance, the system of equations y = 2x + 7 and y = 2x - 3 have no solutions because they have the same slope.

Learn more on system of equation here: https://brainly.com/question/12526075

Find the largest integer which belongs to the following interval: (−∞, 8)

Answers

Answer:

7

Step-by-step explanation:

The following range includes numbers from negative infinity to 8. But, 8 isn't included, because there is a parentheses not a bracket. So, basically you can have 7.9999999. But, it asks for an integer, so it is 7.

The largest integer which belongs to the interval: (−∞, 8) is 7

To determine the largest integer, we will first ascertain what the use of parentheses and brackets denote.

The use of parentheses ( ) stands for open interval, that is, the extreme numbers of the set are not included.

If the brackets [ ] were used instead, that will be closed interval, that is, the extreme numbers of the set are included.

Since ( ) were used in the question, that means the extreme numbers −∞ and 8 are NOT included in the set.

Now, let us define an integer.

An integer is a positive or negative whole number or zero.

Hence, the integers in the set will include: −∞+1, −∞ + 2, ... 5, 6, and 7.

The largest integer here is 7

Hence, the largest integer which belongs to the interval: (−∞, 8) is 7

Learn more in the link below:

https://brainly.com/question/13324131

a department store regularly sells a pair of pants for $49.95. they are having a sale where clothing 30% off.
after including an 8% sales tax, how much do the pants cost on sale?

A. $30.97
B. $38.96
C. $37.76
D. $32.17​

Answers

Answer:

C. $37.76

Step-by-step explanation:

30% of $49.95

=30/100×49.95

=$14.99

selling price = 49.95 -14.99

= $34.96

8% sales tax included

=8/100×34.96

=$2.80

new price= 34.96+2.80

=$37.76

Transform the Cartesian (rectangular) equation to a polar equation: x = -9. The selected answer is incorrect.

Answers

Answer:

Solution : Option C

Step-by-step explanation:

We have the equations r² = x² + y², x = r cos(θ), and y = r sin(θ) that can be used to solve this problem. In this case we only need the second two equations (  x = r cos(θ), and y = r sin(θ) ) as we don't need to apply the concept of circles etc here.

Given : x = - 9,

( Substitute r cos(θ) for x )

r cos(θ) = - 9,

r = - 9 / cos(θ)

( Remember that sec is the reciprocal of cos(θ). Substitute sec for 1 / cos(θ) )

r = - 9 sec(θ)

Therefore the third option is the correct solution.

find the length of the arc . round your answers to the nearest tenth PLEASE HURRY

Answers

Answer:

10.2

Step-by-step explanation:

Length of arc=(2*pi*r)*(theta/360)

Length of arc=(2*pi*3)*(195/360)=10.2

-58.58 is equal to the rational number

Answers

Answer:

This is true

Step-by-step explanation:

Because a rational number can be expressed as going on forever.

PLEASE HELP!!! (1/5) - 50 POINTS-

Answers

Answer:

consistent independent

Step-by-step explanation:

This is a graph of consistent independent equations

The lines cross and there is one solution

Inconsistent equations never cross and there is no solutions

Consistent dependent equations are equations of the same line

Answer:

Linear

Step-by-step explanation:

This is a graph of linear system of equation.

The two lines represent different equations connected with each other.

They intersect at a common point showing the solution to the system of equation.

In this triangle, which of the following is true?​

Answers

We know that this is a right triangle, so one of the sides has to be 90 (indicated by the square on the corner)  The angles of all triangles must add to exactly 180.  Subtract 90 and 35 from 180

If we do that, we get 55.  We know that the unknown angle is 55 now.  Now, it asks us for b.  We can pythagoras theorem which states that (a^2 + b^2 = c^2)  We already know c (c is 20)  It does not tell us 2 of the sides but we do know that the answer is either B or D.  

The side opposite of 90* should be the largest.  The size opposite of 55 would be the second largest one.  The side opposite of 35 would be the smallest one.  Using pythagoras theorem again, I can try plugging in both 11.47 and 16.38 with c^2 - b^2 = a^2  

11.47:

400 - 132 =268  (sq root now = 16.37) this would mean that A is larger than B.  B should be larger than A.  Try the other one

16.37:

400 -268 = 132 (sq root = 16.37) this would mean that B is larger than A which is what we want.

Thus, 16.37  = B and the last option would be correct (D)

Hope this helps, give an honest rating for me please

Question
Consider this expression.
4/2² - 6²
Type the correct answer in the box. Use numerals instead of words. For help, see this worked example e.
When a =
-5 and b = 3, the value of the expression is
Submit

Answers

Answer:

16

Step-by-step explanation:

4 * sqrt( a^2 - b^2)

Let a = -5 and b =3

4 * sqrt( (-5)^2 - 3^2)

Do the squaring first

4 * sqrt( 25 - 9)

Subtract inside the square root

4 * sqrt( 16)

Take the square root

4 * 4

Multiply 16

Answer:

[tex]\Large \boxed{16}[/tex]

Step-by-step explanation:

[tex]4\sqrt{a^2-b^2 }[/tex]

[tex]\sf Plug \ in \ the \ values \ for \ a \ and \ b.[/tex]

[tex]4\sqrt{-5^2-3^2 }[/tex]

[tex]4\sqrt{25-9 }[/tex]

[tex]4\sqrt{16}[/tex]

[tex]4 \times 4=16[/tex]

If a textbook costs £7.80, how many can be bought for £101.40?

Answers

Answer:

13 textbook can buy.

Step-by-step explanation:

13 textbook can buy.

Divide total by price per book:

101.40 / 7.80 = 13

13 books can be bought

Please find the answer !

Answers

Answer:

ring volume is 12cm3

Step-by-step explanation:

Lr ccm=volume of water and ring - Volume of water

ring cubic centimeters =x

x=9.2cm*4.5cm*7cm - 8.8cm*4.5cm*7cm

x=289.2cm3 - 277.2cm3

x=12cm3

An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many faces does it have, how many vertices and how many edges? a triangular pyramid ... how many faces does it have, how many vertices and how many edges?

Answers

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Hope this can help you.

Simplify your answer as much as possible.

Answers

Answer:

x = -4

Step-by-step explanation:

2 = 3x + 22/5

Numerator = denominator x quotient

Numerator = 5 x 2

Numerator = 10

3x + 22 = 10

Subtract 22 from both sides

3x = -12

x = -12/3

x = -4
•••••••••••••••••••••••••••
Hope this helps!

Bye love you.

- doomdabomb

Judy got 27 546 points and 34 668 points in the first two rounds of a
game. How many points did Judy get in all?

Answers

Answer:

62 214

Step-by-step explanation:

Given,

Points got by Judy in 1st round = 27 546

Points got by Judy in 2nd round = 34 668

Therefore,

Total points Judy got in the first two rounds

= 27 546 + 34 668

= 62 214 (Ans)

giving brainliest to whoever finishes this correctly! :)

Answers

First box is 5 and Second box is 8

Assume that a random sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level.

Answers

Answer:

Margin of Error = z∝/2 * Standard Error

Step-by-step explanation:

The formula for standard error is given by

SE = [tex]\sqrt{\frac{pq}{n} }[/tex]

Where p is the probability or proportion of success q=1-p and n is the number of trials or samples.

Now Margin of Error is given by

ME = z∝/2 * Standard Error

The confidence level is used to estimate the value of alpha.

For example 90% confidence means alpha= 1-0.9= 0.1 and alpha by 2 would be 0.05 . So the value for alpha by 2 would be 1.96


Plz help quick quick quick

Answers

Step-by-step explanation:

[tex]\angle 3[/tex] and [tex]\angle 16[/tex] are alternate exterior angles so they are equal to each other, which means

[tex]5x - 30 = 3x + 10 \Rightarrow x = 20[/tex]

Solving for the measure of [tex]\angle 16[/tex], we get

[tex]m\angle 16 = 5(20) - 30 = 70°[/tex]

Since [tex]\angle 12[/tex] and [tex]\angle 16[/tex] are supplementary,

[tex]m\angle 12 = 180° - 70° = 110°[/tex]

Answer:

ur image wont load

Step-by-step explanation:

A hunter shot 7 ducks. The hunter's dog recovered 5/7 of the ducks. How many ducks were recover

Answers

Answer:

5

Step-by-step explanation:

Just multiply 5/7 by 7 since his dog retrieved 5/7 out of the 7 ducks he shot.

Answer:

5

Step-by-step explanation:

7*5/7

7 represents the # of ducks

5/7 represents the # of ducks that were recovered

The question asks the number of ducks that were recovered so you should multiply the total # of ducks there are by the fraction that were recovered.

Can somebody help me please?

Answers

Answer:

[tex]\boxed{x \geq 353}[/tex]

Step-by-step explanation:

Hey there!

Info Given

- Dot is solid

- Line goes to the right

- Dot is at 353

So by using the given info we can conclude that the inequality is,

x ≥ 353

Hope this helps :)

Answer:

Inequality: 100 + 50w ≥ 18000

What to put on graph: w ≥ 358

Please answer this correctly without making mistakes

Answers

Answer:

151 9/19

Step-by-step explanation:

Step-by-step explanation:

Option A is the correct answer because it is equal to 151.47

the diameter of Earth's moon is on average 3.8 x 10^8m. Use the formula A=4π² to find the approximate surface area. (Use 3.14 for the value of π)

Answers

Answer:

The answer is

[tex]A = 4.53 \times {10}^{17} \: {m}^{2} [/tex]

Step-by-step explanation:

Since the Earth's moon is a sphere

Surface area of a sphere from the question is given by

A = 4πr²

where r is the radius

To find the radius using the diameter we use the formula

radius = diameter / 2

[tex]radius \: = \frac{3.8 \times {10}^{8} }{2} [/tex]

[tex]radius = 1.9 \times {10}^{8} \: m[/tex]

π = 3.14

Substitute these values into the above formula

That's

[tex]A = 4 \times 3.14 \times ({1.9 \times {10}^{8} })^{2} [/tex]

We have the final answer as

[tex]A = 4.53 \times {10}^{17} \: {m}^{2} [/tex]

Hope this helps you

What is 40 % of 50?????????????????????????????????????/

Answers

Answer:

20

Step-by-step explanation:

Of means multiply

40% * 50

Change to decimal form

.40 * 50

20

40. percent *50 =

(40.:100)*50 =

(40.*50):100 =

2000:100 = 20

The number of times a player has golfed in one's lifetime is compared to the number of strokes it takes the player to complete 18 holes. The correlation coefficient relating the two variables is -0.26. Which best describes the strength of the correlation and what is true about the causation between the variables?

Answers

Answer: It is a weak negative correlation and it is not likely causal.

Step-by-step explanation:

Given: The number of times a player has golfed in one's lifetime is compared to the number of strokes it takes the player to complete 18 holes. The correlation coefficient relating the two variables is -0.26.

Variables : "number of times a player has golfed in one's lifetime" and "number of strokes it takes the player to complete 18 holes".

Since -0.26 is more closer to 0 as compared to 1 , so it describes a weak negative correlation.

Also, it is not likely causal as number of times a player has golfed in one's lifetime not cause number of strokes it takes the player to complete 18 holes.

Answer: B) It is a weak negative correlation, and it is likely casual

Correct on edge 2020!

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