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

There are 8 math classes in 7th grade. Seven are equally sized and the 8th class has 32 students. If there are a total of 221 in the 7th grade, how many are in each of the equally sized bath class?

Answers

Answer:

27

Step-by-step explanation:

221-32=189189/7=27

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

y - 3 = -12(x - 5)

Step-by-step explanation:

This is what point slope form looks like:

y - y1 = m(x - x1)

(5, 3) is our known point, represented as (x1, y1).

Now, just plug in the given slope and point into the equation:

y - 3 = -12(x - 5)

What expressions are equivalent to -6+4q+(-6q)

Answers

Simplified answer:

-6 - 2q

Step-by-step explanation:

-6 + 4q + (-6q)

=> -6 + 4q - 6q

=> -6 + (-2q)

=> -6 - 2q

I think this is the expression. Try to simplify your options and see if one of them equal to -6 - 2q. Hoped this helped.

The formula to find the volume of a sphere is = 4 3, where is the radius of the 3
sphere. What is the formula in terms of ?

Answers

Answer:

d.

took the test

Step-by-step explanation:

Kross bought 3 cans of paint. The total was less than $60. How much was each can?
inequalities btw!!​

Answers

1>$20 Is the answer for each can or 3>$60 for all three, un simplified.

Because we know they bought 3 can and the problem states it is LESS than $60.

Step-by-step explanation:

two equations if you want an inequality

y = -3x + 60

3x <= 60

graph it and you get x = 20 which is your answer

Which function is graphed below?

Answers

Answer: f(x)=cos(x)

The first option. Hope this helped!

There are 30 puzzle books on a shelf. The number of puzzle books is 25 of all the books on the shelf.

What is the total number of books on the shelf?

Enter your answer in the box.

books

hurry ill give brainliest answer

Answers

The total number of books on the shelf is 12 books

Given the following parameters

Total number of puzzle books on the shelf = 30 books

If the number of puzzle books is 25 of all the books on the shelf, the total number of books on the shelf is expressed as:

= 2/5 of 30

= 2/5 * 30

= 2 * 6

= 12

Hence the total number of books on the shelf is 12 books

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Answer:

75

Step-by-step explanation:

The number 43.9 is 24% of x. What is the value of x rounded to the nearest whole number?

Answers

Answer:

183

Step-by-step explanation:

percentage=actual/base

B=A/P

B=43.9/0.24

B= 182.9=183

The value of x rounded to the nearest whole number is 183.

What is Percentage?

In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

As per the given data:

Number = 43.9

The given number is 24% of x.

Percentage = (value / total) × 100

By substituting the given data:

24 = (43.9 / x) × 100

x = (4390/24)

x = 182.91

after rounding off to the nearest whole number

x = 183

Hence, the value of x rounded to the nearest whole number is 183.

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Identify the form the following equation is in y = 2/3x - 7

Answers

Answer:

Point slope form

[tex]y=mx+b[/tex]

Write an equation representing how much Tristan paid.

After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.

Answers

Answer:

These are the equations

Step-by-step explanation:

Gwen's equation =   x + 10y = 30

Tristan's equation=  x + 15y = 40

Keith's equation =  x + 10y = 30

pls help me
look at the picture​

Answers

Answer:

third option is correct

[tex] \text{Given : Which expression is equivalent to} \: \frak{( {8}^{2})^{ - 4}} \\ \\ \odot \quad\frak{ \frac{1}{ {8}^{2}}} \\ \\ \odot \quad\frak{ \frac{ - 1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \odot\quad\frak{ \frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \odot \quad \frak{ {8}^{2} }[/tex]

[tex] \text{Solution : For getting the answer we need to first simplify it } \\ \quad \dashrightarrow \frak{ ({8}^{2}) ^{ - 4} } \\ \\ \quad \dashrightarrow \frak{{8}^{2( - 4)} } \\ \\ \quad \dashrightarrow \frak{ {8}^{( - 8)} } \\ \rm{now \: as \: the \: exponent \: is \: in \: negative \: so \: we \: need \: to \: bring \: 8 \: down \: in \:} \\ \rm{ form \: of \: denominator} \\ \\ \rm{so \: we \: get \: as} : \\ \\ \quad\hookrightarrow \frak{ \frac{1}{ {8}^{8}}} \\ \rm{as \: the \: exponent \: is \: 8 \: so \: we \: get \: to \: know \: that \: 8 \: is \: multplied \: 8 \: times \: with \: 8.} \\ \quad\hookrightarrow\frak{ \frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \therefore \underline{ \boxed{ \sf{ \blue{option \: c} \: i.e.} \: \blue{\frak{\frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}}} \: is \: the \: \blue{correct \: answer}}}[/tex]

Answer the questions below, no links.

Answers

Answer:

[Graph] See attached

[Question] A, C, & E

Step-by-step explanation:

[Graph] 0.4 -> 2/5

     () It will go through the origin (0, 0) because we have no b, or y-intercept

     () From (0, 0) it will go 2 up and 5 over, 2 up and 5 over, etc etc

     () See attached

[Question]

     () A, C, E

     () It is proportional (one to one as it is a straight line) so A is correct

     () The slope in y = mx + b is m, and our m is 0.4 so it is the slope

     () 3 * 0.4 = 1.2, so E is correct

PLEASE HELP ME NOW!!!!! ILL GIVE BRAINLIEST!!!

Answers

Answer:

its C. 17/10

Bcs 3/2

=1.5

And on the figure shown 1.5 comes in c

Mark me BRAINLIEST
Just gonna say nothing……. You need 2 ppl to mark someone brainlest

Bethany has $20 to take some friends and herself to the movies A movie ticket costs $7.75. Write an inequality to help Bethany determine how many people can go to the movies with the $20.

Answers

Answer:

Only 2 people would be able to go and she would have $5.50 to spend on snacks.

Answer:

2 friends

Step-by-step explanation:

20< 7.75(x) you have to have a less number than the total

The length and breadth of a rectangle are (2x + 1) cm
and (x + 3) cm, respectively. If the area of the
rectangle is 88 cm^2 ,find:
a. the value of x
b. the perimeter of the rectangle.

Answers

Answer:

Step-by-step explanation:

Area = 88 sq.cm

length * width = 88

(2x + 1)(x + 3)  = 88

2x*(x +3) + 1*(x + 3) = 88

2x*x + 2x*3 + x + 3= 88

2x² + 6x + x + 3 = 88

2x² + 7x + 3 - 88 = 0

2x² + 7x - 85 = 0

2x² - 10x + 17x - 85 = 0

2x(x - 5) + 17(x - 5) =0

(x - 5)(2x + 17 )= 0

x - 5 = 0      {Ignore 2x +17 = 0 as it gives a negative value}

x = 5

b) length = 2x + 1 = 2*5 + 1 = 10 +1 = 11 cm

breadth = x+ 3 = 5 + 3 = 8 cm

Perimeter = 2*(length +breadth}

                = 2* (11 + 8)

                = 2 * 19

               = 38 cm

Express in the form n:1

12:2

Answers

Answer:

6:1

Step-by-step explanation:

The ratio 12/2 is equivalent to the ratio 6/1, or 12:2 = 6:1 .

The answer should be 6:1

PLEASE HELP ME ILL
MARK BRAINLIEST

Answers

Answer:

yeah

Step-by-step explanation:

4. A publisher wants to figure out how thick their new book will be. The book has a front
cover and a back cover, each of which have a thickness of of an inch. They have a
a
choice of which type of paper to print the book on.
a. Bond paper has a thickness of inch per one hundred pages. Write an equation for
the width of the book, y, if it has x hundred pages, printed on bond paper.
b. Ledger paper has a thickness of į inch per one hundred pages. Write an equation
for the width of the book, y, if it has x hundred pages, printed on ledger paper.
C. If they instead chose front and back covers of thickness of an inch, how would
this change the equations in the previous two parts?

Answers

Answer:

1in x 2 + 1 in =3in

2 times 1 is 2 + 1 equals 3

What is the measure of angle 1 in the diagram 42 30 1 2

Answers

Answer:

The answer is no doubt about it

it’s 30!


it’s the middle number

Define power of 10 rule

Answers

Answer:

A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.

Step-by-step explanation:

Answer:

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Step-by-step explanation:

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10 sec as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Nancy deposits $2500 into an investing account that pays 6.1% annual interest compounded quarterly. What will be the balance after 10 years? Round to the nearest cent.

Answers

Step-by-step explanation:

P=principle balance

r= interest rate

n= no. of times interest compounded per year

t= time period.

[tex]A = P {(1 + \frac{r}{n}) }^{nt} \\A = 2500 ({1 + \frac{ \frac{6.1}{100} }{4} )}^{4(10)} \\ A = 2500 {(1 + \frac{0.061}{4} )}^{40} \\ A = 2500 {(1 + 0.01525)}^{40} \\ A = 2500 {(1.01525)}^{40} \\ A = 4579.94[/tex]

BRAINLIST PLS

Based on the information given the balance after 10 years is $4579.94

Balance after 10 years

Using this formula

Amount=P(1+r/n)^nt

Where:

P=principle balance=2500

r= interest rate=6.1%

n= Number of times interest compounded per year=4

t= time period=10 years

Let plug in the formula

Amount=2500(1+0.061/4)^4×10

Amount=2500(1+0.01525)^40

Amount=2500(1.01525)^40

Amount=$4579.94

Inconclusion  the balance after 10 years is $4579.94

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Please help meeeee please please c

Answers

Answer:

the item would cost $9000

Are these ratios equivalent?
825 trees : 660 bushes
929 trees : 809 bushes
yes
no

Answers

Answer:

NO

Step-by-step explanation:

What is the dividend when the divisor is 8 and the quotient is 96 with a remainder of 3?
dividend:
Explain how you found the dividend.

Answers

Answer:

13

Step-by-step explanation:

13÷8=96r3 आओऋअःनबभसजहलव

The required dividend would be 765 when the divisor is 8 and the quotient is 96 with a remainder of 3.

What is the Quotient?

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

Let the required dividend would be x

The divisor is 8 and the quotient is 96 with a remainder of 3 which is given in the question

As per the given question, the solution would be as:

⇒ x ÷ 8 = 96 r3

⇒ x  + 3 = 96 × 8

⇒ x + 3 = 768

⇒ x = 768 - 3

⇒ x = 765

Therefore, the required dividend would be 765.

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Hello! Please answer this ASAP. Thanks!

Answers

Answer:

x=3

Step-by-step explanation:

Twenty divided by four is five. You would divide fifteen by five to get three. so X=3.

!!!!!!!!!!!!!!!!!!!2

Answers

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day.

We can solve this problem in one step, we just have to look at the graph and see how the line works.

The equation of the line is [tex]y=8x+0[/tex] as the line rises by 4 for every hour they work. We can prove this by substituting points and seeing what we get.

In words, after reading our equation, we can see the following

"Every hour Anthony works, he earns 8 dollars".

We can see this because if we look at the line, when he works for one hour on the x axis, we gains 8 on the y axis

Hence our answer would be B.

Cheers!

The answer is B and it will be the best answer

There are 412 eighth-grade students at a middle school.
• About of the eighth-grade students ride the bus.
• Of the eighth-grade students that ride the bus, are females.
Approximately how many eighth-grade students that ride the bus ?are
male?
A 110
B. 140
C. 165
D. 275

Answers

Answer:

I cant see the numbers...

Step-by-step explanation:

Sorry! I can tell you the answer if you comment on this post.

GIVING BRAINLIEST!
A hot air balloon is tied to the end of a 60-m rope. When the balloon is at an altitude/vertical height of 50 m, what angle of elevation does the rope make with the ground? Round your final answer to the nearest tenth of a degree.

Answers

Answer:

83.333 degress

Also where i solved for side a is pointless i just realised :p

Step-by-step explanation:

okay Imma head into some trig stuff here so sorry.

the hypotenuse of the triangle would be 60m

the height is 50m

Using pythag theorem we can concur that a = 10.488

a = 10.488

b= 50m

c = 60m

now we just use sin (feta) = 50/60

sin(feta) = .8333

or 83.3 degress.

-Gage Millar, Algebra 1/2 tutor

5.3.21

Write an equation in slope-intercept form of the line with the given slope m and y-intercept b.

9

m= -4b=

Enter the equation of the line in slope-intercept form.

(Do not factor. Use integers or fractions for any numbers in the equation.)

Answers

Answer:

y = -4x + 9

Step-by-step explanation:

Solve for X in the triangle round your answer to the nearest 10th

Answers

Step-by-step explanation:

remember : the sum of all angles in a triangle is always 180 degrees.

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C) with the sides being opposite to the angles.

so,

the opposite angle of x is

180 - 90 - 44 = 46 degrees.

x/sin(46) = 6/sin(90) = 6

x = 6×sin(46) = 4.316038802...

rounded x = 4.3

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