a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 27. find the value of a.​

Answers

Answer 1

Answer:

a = 16

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order.

If there is no exact middle then the median is the average of the 2 values either side of the middle

a + 1 , 2a - 1 ,  a + 7 ,  3a + 4

                   ↑ middle

Then

[tex]\frac{2a-1+a+7}{2}[/tex] = 27 ( multiply both sides by 2 to clear the fraction )

3a + 6 = 54 ( subtract 6 from both sides )

3a = 48 ( divide both sides by 3 )

a = 16


Related Questions

solve for x
5x - 2 = 6
give your answer as an improper fraction in its simplest form

Answers

Answer:

x= 8/5

Step-by-step explanation:

add 2 to both sides

5x=8

divide both sides from 5

x=8/5

Just need some help with this one

Answers

Answer:

y = -2/3x + 10/3


Explain what the vertical line test is and how it is used.

Answers

Answer:

The vertical line test is a test to determine if a relation or its graph is a function or not. For a relation or graph to be a function, it can have at most a single y-value for each x-value. Thus, a vertical line drawn at any x-position on the graph of a function will intersect the graph at most once.

Step-by-step explanation:

(winks and runs off)

I need help pleaseeeeee

Answers

ok for the first one says

f(x)= 2 which is our Y, now we see when y is 2 our x = 1

f(x)=0 so when y= 0 , x = 2

f(1) = 2

For the problem -4(-5)(9), will the answer be positive or negative?

Answers

Answer:

Positive

Step-by-step explanation:

-4(-5)(9)

Negative cancels out negative, so it makes a positive:

20(9)

Simplify normally to get 180 as your final answer.

can someone help me with this sum please

Answers

Answer:

See below...

Step-by-step explanation:

v * 7x = 7vx

8c * 6e = 48ec

3a * 4a = 12a^2

8xw * 2w = 18xw^2

8mn * 3m^2n = 24m^3n^2

4acx * 5ax^2 * 6c = 120a^2c^2x^3

4m * 4n = 16mn

3x * 4x = 12x^2

5w * 3wx = 15w^2x

6c * 5ac^2 = 30ac^3

9wx^2 * 6w^2x = 54w^3x^3

9a^2c * 4ac^2e^3 = 36a^3c^3e^3

Find x special right triangle

Answers

Answer:

This is a 45 45 90 triangle, so v=[tex]\sqrt{2}[/tex]. The side opposite the right angle in a 45 45 90 triangle is equal to the length of the other sides * [tex]\sqrt{2}[/tex].

Therefore, u=2, because [tex]\sqrt{2}[/tex]*[tex]\sqrt{2}[/tex]=2. So, your answer is A, 2.

Step-by-step explanation:

We know, sum of all angles of a triangle is 180°.So, 180° - (90+45)° = 45°So, the angle which is not given is 45°.The opposite angles of the triangle are equal, so the opposite sides of the triangle are also equal.Therefore, v = √2.[tex] {u}^{2} = \sqrt{(2)} ^{2} + {( \sqrt{2)} }^{2} \: \: \: (by \: \: pythagoras \: \: theorem)\\ => {u}^{2} = 2 + 2 \\ = > {u}^{2} = 4 \\ = > u = 2[/tex]

Answer:

2

Hope you could understand.

If you have any query, feel free to ask.

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)



























(cAt)

Answers

x>-6

1st step: 3(x-1)>-15------(3x-3)>-15

2nd step: subtract -3 from -15 which is -18

3rd step: 3x>-18------x>-6

Answer:

x > -4

Step-by-step explanation:

First, distribute the 3 among everything inside the parentheses to get 3x - 3 > -15.

Next, add 3 on both sides to get 3x > -12, then divide 3 on both sides to get x > -4.

Hope this helps :)

Also I love the kitty lol, but what's with the hair tie?

what is 7a-7b when a-b=5

Answers

Answer:

35

Step-by-step explanation:

7a -7b

Let a-b = 5

Factor

7(a-b)

7(5)

35

Answer:

a=5+7b/7

Step-by-step explanation:

7a-7b

a-b=5

7a-7b=5

7a-7b+7b=5+7b

7a-0=5+7b

7a=5+7b

7a=5+7b/7

a=5+7b/7

r(m)r(m)r, left parenthesis, m, right parenthesis models the average monthly rainfall (in millimeters) in Tanzania for the years 190019001900-200920092009 as a function of the month number mmm.

Month # Rainfall (millimeters)

111 145145145

222 135.8135.8135, point, 8

333 179.1179.1179, point, 1

444 171171171

555 64.864.864, point, 8

666 12.612.612, point, 6

777 8.48.48, point, 4

888 8.98.98, point, 9

999 15.715.715, point, 7

101010 29.529.529, point, 5

111111 83.883.883, point, 8

121212 142.6142.6142, point, 6

Which number type is more appropriate for the domain of rrr?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

Integers


(Choice B)

B

Real numbers

What's the appropriate domain?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

0\le m\le 179.10≤m≤179.10, is less than or equal to, m, is less than or eq

Answers

Answer:

Integers

1</ M </ 12

Step-by-step explanation:

Khan Aacademy

solve the proportion (someone pls help)

Answers

X=23

3x=2x+8+15

3x=2x+23

3x−2x=23

volume of a cube is 343 cm cube . find the edge​

Answers

Answer:

Edge: 7 cm

Step-by-step explanation:

Cubic root of 343 = 7

You jog 623 miles around a track each day. If you jogged that distance 4

times last week, how many miles did you jog? in a fraction

Answers

Answer:

6 2/3 miles times 4

Step-by-step explanation:

Convert the fraction 2/3 to a decimal

2/3  = .67

6.67 miles times 4 = 26.68 miles

or 6x4= 24

2/3+2/3+2/3+2/3  =8/3 or 2 2/3

2 2/3 +24 =26 2/3 miles

Hope this helps, have a nice day/night! :D

PLZ help I need to answer quickly!​

Answers

Answer:

4.2

Step-by-step explanation:

All sides are proportional, so choose a pair and find the proportion

Ex: AB and JK = 7/5=1.4

so each side is multiplied by 1.4 to get the larger figure

So 3*1.4=4.2

Please help will mark brainliest

Answers

Answer:

u cant be marked

Step-by-step explanation:

u cant be marked

Make each denominator rational. In other words, rationalize the denominator.

A) (√11-1)/√11

B) (3 + √6 )/√6

Answers

The detailed answer is there in the image I have attached.

Hope it helps you....

Please mark as Brainlliest!!!!

Hailey ordered 12 pizzas for a grade level party. If each person eats 3/8 of a pizza equally, how many people can Hailey feed with 12 pizzas?

Answers

Answer:

24

Step-by-step explanation:

which one is it please do this quick!

Answers

Answer:

B

Step-by-step explanation:

The answer is B because Figure JKML is a result of PQRS by a scale factor of 3

You can verify this because the distance from J to K is 6 and the distance from P to Q is 2, from 2 to get to 6 you need to multiply 2 by 3 meaning JKML would be the dilation of figure PQRS by a scale factor of 3

Could you please help with this

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Gina needs to cut a board to use for a project. The board is 10 feet long. She first has to cut off 1 1/2 feet from one end of the board. She then cuts the remaining section of board into 3 equal pieces.

Which equation can be used to determine the the length of each equal piece?

Answers

Answer:

3x+1 1/2=10

Step-by-step explanation:

k12

The solution is Option B.

The equation used to determine the length of each piece of board is given by 3x + 1 1/2 = 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total length of the board Gina has is = 10 feet

The first piece of length cut from the board is = 1 1/2 feet

So , the remaining piece of board = total length of the board Gina has - length cut from the board

And the equation is

The remaining piece of board = 10 - 1 1/2

Let the remaining piece of board be A

The remaining piece of board is cut into 3 equal pieces

Let the one remaining piece of board be = x

So , the three remaining pieces of board = 3x

Now , the equation will be

The remaining 3 pieces of board 3x =  remaining piece of board

So , substituting the values in the equation , we get

3x = 10 - 1 1/2

Adding 1 1/2 on both sides of the equation , we get

3x + 1 1/2 = 10

Therefore , the equation is 3x + 1 1/2 = 10

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Triangle JKL with vertices /(1, -1), K(2, 3), and
L(3,-2) in the line x = 4.
.ب)J
K'.
L'(_
(

Answers

The reflection of the triangle JKL across the line x = 4 is equivalent to

equivalent to flipping the preimage across the line x = 4.

The correct coordinates are;

[tex]\underline{J'(7, \, -1)}[/tex]

[tex]\underline{K'(6, \, 3)}[/tex]

[tex]\underline{L'(5, -2)}[/tex]

Reasons:

The given transformation is a reflection about the line x = 4

The points of triangle JKL are J(1, -1), K(2, 3), and L(3, -2), in the line x = 4

The coordinates of the triangle JKL following a reflection across the line x = 4, have the same y-coordinates , while the x-coordinates have the same distance magnitude to the line x = 4, but opposite sign.

Distance between x-coordinate of the point J and the line x = 4 is 4 - 1 = 3

Which gives;

Distance between x-coordinate of the point J' and the line x = 4 is 4 + 3 = 7

Therefore, the coordinate of the point J' is [tex]\underline{J'(7, \, -1)}[/tex]

Similarly, we have;

Distance between x-coordinate of the point K and the line x = 4 is 4 - 2 = 2

Distance between x-coordinate of the point K' and the line x = 4 is 4 + 2 = 6

The coordinate of the point K' is [tex]\underline{K'(6, \, 3)}[/tex]

Distance between x-coordinate of the point L and the line x = 4 is 4 - 2 = 2

Distance between x-coordinate of the point L' and the line x = 4 is 4 + 2 = 6

The coordinate of the point L' is  [tex]\underline{L'(5, -2)}[/tex]

Learn more here:

https://brainly.com/question/24758871

Raymond frequently dined at his favorite restaurant, Hungry Hippo. At his most recent visit, he paid his bill. If the bill had been half as much, he would have gotten three times as much change. If the bill had been two dollars more, Raymond would have gotten only half as much change as he actually did get. How much was Raymond’s change?

Answers

Raymond's change was $ 4.

Since Raymond frequently dined at his favorite restaurant, Hungry Hippo, and at his most recent visit, he paid his bill, and if the bill had been half as much, he would have gotten three times as much change, while if the bill had been two dollars more, Raymond would have gotten only half as much change as he actually did get, to determine how much was Raymond's change the following calculation must be performed:

1 / 2X = 3Y X + 2 = 1 / 2Y X = Y 2 = 1 / 2Y Y = 2 x 2 Y = 4

Therefore, Raymond's change was $ 4.

Learn more in https://brainly.com/question/7328385

simplify (3x^2y3)^3 / x3

Answers

Ok done. Thank to me:>

Answer number three and four please

Answers

Answer:

Yes (both)

Step-by-step explanation:

Let's verify using Pythagorean:

#3 1² + 1² = (√2)² ⇒ 1 + 1 = 2 ⇒ 2 = 2, TRUE#40.3² + 0.4² = 0.5² ⇒ 0.09 + 0.16 = 0.25 ⇒ 0.25 = 0.25, TRUE

10.
Identify the vertex of the parabola.



A. (−1, 0)

B. (0, −1)

C. (1, 0)

D. (0, 1)

Answers

Answer:

C. (1, 0)

Step-by-step explanation:

1,0 should be the vertex for this parabola

1,0 should be the correct answer

-5x - 25= 78; her work is shown below identify the error and where it was made

Answers

[tex]-5x = 78 + 25 <=> -5x = 103 <=> x = -103/5[/tex]

Find the slope of the line passing through the points (5,9) and (5, - 7)​

Answers

Answer:

9/11

Step-by-step explanation:

Translate the sentence into an inequality.
A number w increased by 4 is greater than or equal to - 23.

Answers

Answer:

w + 4  ≥  -23

Step-by-step explanation:

"a number w": w

"increased by 4": + 4

"is greater than or equal to":  ≥

"-23": -23

Put the parts of the equation together:

w + 4  ≥  -23

~

Answer: (x + 4) ≥ -23

Use the example as a model. Simplify the expressions.
t^37=?

i
-i
1
-1​

Answers

Answer:

Step-by-step explanation:

[tex](\iota)^{37}=(\iota)^{36} \times \iota=[(\iota)^2]^{18}\times \iota=(-1)^{18} \iota=\iota[/tex]

How do i find the measure of <2 in this equation?

Answers

Answer:

142

Step-by-step explanation:

It is equal to the one above it.

I hope this helps!!

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