R 3. The mean of 4 numbers is 8. Three of the numbers add up to 22. What is the last number?​

Answers

Answer 1
Solution :

let the last number be x

we know,

[tex] \boxed{mean = \frac{sum \: \: of \: \: all \: \: observations}{number \: \: of \: \: observations} }[/tex]

So,

[tex] \hookrightarrow \: 8 = \dfrac{22 + x}{4} [/tex]

[tex] \hookrightarrow \: 8 \times 4 = 22 + x[/tex]

[tex] \hookrightarrow \: 32 = 22 + x[/tex]

[tex] \hookrightarrow \: x = 32 - 22[/tex]

[tex] \hookrightarrow \: x = 10[/tex]

therefore, the last number is 10.


Related Questions

Solve the equation 3/4x=9

Answers

Answer:

3/4x = 9

4x = 3/9

4x = 1/3

x = 1/12

Answer:

x= 12

Step-by-step explanation:

[tex](\frac{4}{3})(\frac{3}{4}x)[/tex]= [tex]9\frac{4}{3}[/tex]

X= 12

Please mark me the Brainliest!

Help pls I really need this

Answers

Answer:

{2 , 4} is the answer of this question.

Which is equivalent to 1/4?
(equivalent means equal)
04/12
O 4/16
03/15
O 25/90

Answers

To find fractions equivalent to 1/4, you need to multiply both the numerator (top) and denominator (bottom) by the same number.

For example, 1/4 is equal to (1x7) / (4x7) or 7/28.

Going through possible options:
1/4 = (1x2) / (4x2) = 2/8

1/4 = (1x3) / (4x3) = 3/12

1/4 = (1x4) / (4x4) = 4/16

And there’s your answer.

The other way to approach this is to divide each denominator by 4 and see if you get the value in the numerator.
12÷4 = 3, but the first fraction was not 3/12.
16÷4 = 4 and the second fraction IS 4/16
15÷4 = 3.75, but the third fraction was not 3.75/15
90÷4 = 22.5, but the third fraction was not 22.5/90

I need help on this pre-calculus function about domain and range.​

Answers

Answer:

7

Step-by-step explanation:

Factor 18p – 36 to identify the equivalent expressions.
Choose 2 answers:
A
3(9p – 12)
B
9(2p – 4p)
2(9p – 18)
18(p - 2)

Answers

Answer:

DandC

Step-by-step explanation:

Which term would be combined with the constant +2 in the expression -8x^2 + 3x +2?

Answers

Answer:

102(5x+2y)+3x+6y−10

Step-by-step explanation:

Terms is each part of an algebraic expression separated by a plus or minus sign.

As 2(5x +2y ) , 3x , 6y2(5x+2y),3x,6y and 1010 .

Factor is a product of two or more numbers, algebraic variables or algebraic expressions . 2(5x +2y )2(5x+2y) has two factors 22 and (5x +2y )(5x+2y) .

3x3x has two factors 33 and xx .

6y6y has two factors 66 and yy .

-10−10 has one factors

Coefficient is the numerical factor of a term that contains a variable.

2(5x +2y ) the factor is 22 .

3x3x the factor is 33 .

6x6x the factor is 66 .

-10−10 the factor is -10−10 .

Variable is a symbol, usually a letter, used to represent a number.

As xx and yy

Constant is a term without a variable.

As -10−10 .

I WILL GIVE CORRECT ANSWER BRAINLIEST!

Each ride at the carnival requires 4 tickets to ride. Kate purchased 20 tickets and has
already ridden some rides.
Kate writes the expression 20 – 4r and Brian writes the expression 4(5 – 1) to
determine how many tickets Kate has left after riding some rides. Both expressions
are correct
Drag each description to explain each part of both expressions.

Answers

Step-by-step explanation:

In Kate's equation, 20 is the total number of tickets, 4 is number of tickets per ride, r is number of rides already ridden, and 4r is the number of tickets used

in Brian's equation, 5 is total number of rides Katie can ride and 5 - r is the number of rides left to ride

Answer:

Step-by-step explanation: I just did it

0.8 divided 11.08 plz give me answer

Answers

Answer: 0.8/11.08= 0.07220216606 or .0.7

Hope this helps!

To which set of numbers does −38 belong?

integers
irrational numbers
natural numbers
whole numbers

Answers

Answer:

-38 is an integer

Step-by-step explanation:

An integer is a whole-valued positive or negative number or 0. They are generated from the set of counting numbers 1, 2, 3,… and the operation of subtraction. So -38 is an integer.

hope this this helps

:)

Find the simple interest.
Principal
Rate
Time
$6000
20%
4 1/2 years

Answers

Answer:

$5,400. 20% of 6,000 = 1,200. 1,200 * 4 1/2 (4.5) = $5,400 (bonus: 6,000 + 5,400 = $11,400) hope this helps

Step-by-step explanation:

- Zombie

If a student didnt turn an assignment in on the 27th of august, and the teacher deducted 10 percent each day. How much credit would they get if they turned it in on the 1st of september?

Answers

Answer:

i have no idea

Step-by-step explanation:

Answer:

credit of 60= lost 40  points

Step-by-step explanation:

31-27= 4

decimal expansion for
1). 10 / 11
2). 1/9

5
3). 1 -
27​

Answers

Answer:

3

Step-by-step explanation:

1-27!!!!!!!!!!!!!!!!!

what is BE in the figure

Answers

Answer:

I honestly don't understand what is being asked

Answer:

25

Step-by-step explanation:

B is second in the English alphabet and E is on the 5th positions on this same English alphabet

For the function f defined by f(x) = 3x^2 + 3x + 4, find the following values.
(a) f(-9) =
(Simplify your answer.)

Answers

[tex] \large \mathfrak{Solution : }[/tex]

let's solve for f(-9) :

3(-9)² + (3 × -9) + 4

(3 × 81) - 27 + 4

243 - 23

220

Step-by-step explanation:

220

that's all

thank you

5. Is this function one-to-one? How do you know?
6. What is f(-1)?
7. What is f(2)?
8. What is f(0)?

Answers

Answer:

6. - f

7. 2 f

8. 0

Step-by-step explanation:

Too lazy to explain

solve it fasrltttttt​

Answers

Answer:

answer::::: 9 . Is it true ?

someone help me with this

WILL MARK AS BRAINLIST (or whatever you call it)

30 points for it

(Ignore the bottom ones that r hard to see)

Answers

Answer:

1) 11/13

2) -7/8

3) -3/9

4) 7/11

7) 5/6

8) 2/3

9) -1

10) -1/7

Step-by-step explanation:

simplifying

7) 10/12 = 5/6

8) 4/6 = 2/3

9) -4/4 = -1

Can't see 5, 6, 11

Check all that apply
vertical angels must

A. be obtuse
B. be adjacent
C. have the same vertex
D. be congruent

Answers

Answer:

D. be congruent

Step-by-step explanation:

vertical angles are angles that are across from each other on intersecting lines and they are always congruent

Pierre travels by plane from Paris to Singapore. The plane leaves Paris at 16 35 on Thursday and arrives in Singapore 13 hours and 45 minutes later. The local time in Singapore is 6 hours ahead of the local time in Paris. Work out the day and time in Singapore when the plane arrives​

Answers

Step-by-step explanation:

16:35 plus 6 hours to account for them being 6 hours ahead is 22:35 off the bat. we then add 13.75 hours which goes to Friday at 12:20 pm.

Trina ran 2 1/2 miles of Friday, 2 3/4 miles on Saturday and 3 mies on SUnday. The next week she ran the same amount. How far in miles did she run in two weeks?

Answers

Answer:

16 [tex]\frac{1}{2}[/tex] miles

Step-by-step explanation:

2 [tex]\frac{2}{4}[/tex] + 2 [tex]\frac{3}{4}[/tex] = 4 [tex]\frac{5}{4}[/tex] which equals 4 + 1 [tex]\frac{1}{4}[/tex] or 5 [tex]\frac{1}{4}[/tex]

5 [tex]\frac{1}{4}[/tex] + 3 = 8 [tex]\frac{1}{4}[/tex]

she ran 8 and one-quarter miles in the first week and if she ran the same amount the second week then we can add to get the answer:

8 [tex]\frac{1}{4}[/tex] +  8 [tex]\frac{1}{4}[/tex] = 16 [tex]\frac{2}{4}[/tex] or 16 [tex]\frac{1}{2}[/tex]

What is the solution to the equation -2(2x + 4) + 10 = 8x + 14?

A.
x = 3.5

B.
x = -1

C.
x = 1

D.
x = -3.5

Answers

[tex]-2(2x+4)+10=8x+14\\\\-4x-8+10=8x+14\\\\-4x-8x=14+8-10\\\\-12x=12 \ \ /:(-12)\\\\\huge\boxed{x=-1}[/tex]

Answer:

-1

Step-by-step explanation:

-2(2x + 4) + 10 = 8x + 14

-4x - 8 + 10 = 8x + 14

-4x + 2 = 8x + 14

-4x - 8x = 14 - 2

-12x = 12

x = -12/12

x = -1

Describe the transformation in words only for 4 please :)

Answers

Answer:

a rotation of 45° , this could be it

HELP
To make an international telephone call you need the code for the country you are calling. The codes for country A, country B, and C are three consecutive integers
whose sum is 84. Find the code for each country.

Answers

Answer:

27, 28, 29

Step-by-step explanation:

If you divide 84 by 3, the quotient will be in the middle of the three integers. We get 28 from dividing 84 by 3, therefore our string of numbers are 27, 28, and 29.

help plweaseeeee thanks ​

Answers

Answer:

first triangle (to left) b=8, second one c=17

Step-by-step explanation:

for the first triangle (one to the left) the hypotenuse is 9, so let's use the pythagorean formula.

A^2   +  B^2  = C^2

^              ^          ^

^              ^         Hypotenuse

^        second side

first side

Substitute:

5^2 + b^2 = 9^2

SImplify:

25+b^2 = 81

Reduce:

b^2 = 64

Simplify:

b=8

In the second triangle, we are given 2 sides.

Let's do the same thing we did in the first one.

Givens:

A = 8

B = 15

Find:

C

Substitute:

8^2 + 15^2 = c^2

Simplify

64 + 225 = c^2

Reduce:

289 = c^2

Let's now square root both sides

square root of 289 is 17

so we are left with this:

c=17

Phew, you did it!

Hope this helped :))

6m+n m=8 and n=7 evaluate please help please

Answers

Answer:

55

Step-by-step explanation:

m=8

then 6x8=48

n=7

then 1x7 is 7

48+7=55

Answer:

55

Step-by-step explanation:

6m+n

6(8)+7=?

48 + 7= 55

Always multiply and divide first. Then addition and subtraction.


X=?
Missing angle=?

Answers

Answer: 132

X = 180 - 47 +1

x=132

Answer:

x = 67, 133 degrees

Step-by-step explanation:

2x - 1 + 47= 180

2x + 46 = 180

2x (+ 46 - 46) = 180 - 46

2x = 134

2x/2 = 134/2

x = 67

2x - 1

2(67) - 1

134 - 1

133 degrees

hello, this is my last attempt to get it right so if you can please help me​

Answers

Answer:

138°

Step-by-step explanation:

x+115°=6x° [ being vertically opposite angle]

or, 115=6x - x

or, 115=5x

or, 115/5 =x

or, x=23

Then,

x+115°

= 23+115°

=138°

Mark me brainliest plz.

Hope it would be helpful for you

what is 640 divided by 20

Answers

Answer:

640/20 is 32

hope it's helpful

When the number 640 is divided by the number 20, the result is 32.

To divide 640 by 20, we perform long division or use the concept of division as the inverse of multiplication. By dividing 640 by 20, we are essentially finding how many times 20 can be evenly divided into 640.

On Dividing 640 by 20 yields a quotient of 32. This means that 20 can be divided into 640 exactly 32 times, without any remainder.

Thus, 640 divided by 20 is equal to 32. In simpler terms, if we distribute 640 items into 20 groups, each group will contain 32 items.

Learn more about Division here

https://brainly.com/question/2263644

#SPJ6

From the graph of the function, determine the domain and the range.

Domain: (-2, 0) (0,5] Range: (-2,0] [2, 4]

Domain: [-2, 4] Range: (-2, 0] [2, 4]

Domain:(-2, 0) (0, 4) Range: (-2,5]

Domain: (-2, 4] Range: (-2, 0] [2, 4)

Answers

Hey there again! :)

This function is a piecewise function and it's different from previous question.

As you may notice, the graphs are separated and some of coordinate points are not a part of domain and range. That's why we have separate domain and range.

First, let's consider that line graph. The one that contains (-2,0) and (0,-2).

Our domain is the set of all x-values. Only (-2,0) is a closed dot. We use [ ] for closed dot and ( ) for opened dot.

Hence, the first domain is [-2,0)

Next, we find the range of line graph or line segment.

Range is the set of all y-values. Hence, the first range is (-2,0]

We are not done yet! We have to find the second domain and range, which is a curve graph.

From the curve graph, our first point starts from (0,4) and ends at (5,4)

Since (0,4) is an opened dot and (5,4) is a closed dot.

Therefore, the second domain is (0,5]

For the range, the minimum point is (3,2) and maximum point is (0,4) and (5,4). Use the y-coordinate to find range.

Hence, the second range is [2,4}

Gathering Both Domain and Range

First Domain is [-2,0)First Range is (-2,0]Second Domain is (0,5]Second Range is [2,4]

Combine both domains and ranges.

Hence, the domain is [-2,0] U (0,5] and the range is (-2,0] U [2,4] or The First Choice

Let me know if you have any questions!

Topic: Functions / Domain & Range

What do you mean by the value of function?​

Answers

Answer:

The average value of the function over its domain