The following are the ages (years) of 5 people in a room:
23, 14, 16, 21, 22
A person enters the room.
The mean age of the 6 people is now 24.
What is the age of the person who entered the room?
years

Answers

Answer 1
Answer - 48

We know that the new mean, divided by 6, must be 24. That means you have to multiply 24 by 6 to get 144. From 144, subtract the total age of the 5 people before (so 144 - 96). This gives the age of the new person, 48.

Related Questions

find each percent change. tell whether it is a percent increase or decrease
8 to 10
50 to 20
120 to 54
12 to 96
72 to 108
2 to 1.3

Answers

The 1st, 4th & 5th are increasing while the others are decreasing

5 2/3 divided by what is 1?

Answers

Answer:

5 2/3

Step-by-step explanation:

I'm not sure how to explain, but 5 2/3 divided by itself is 1...

I hope this helped a little bit still. Have a great day c:

the answer is 5 2/3 because when you divide a number by itself you always come out with 1
hope this helped:)

[tex]\huge\boxed{Write\;equations\;for\;the\;following...}\\\\1...\;\;(0, -2) & (3,0)\\2...\;\;(0, -3) & (-4, -5)\\3...\;\;(-3,-4) & (4,3)\\\\\\\boxed{Please\;show\;work!}[/tex]

Answers

Answer:

1. y = -2/3x + 2

2. y = 2/4x + -3

3. y = 1x -1

Answer:  see below

Step-by-step explanation:

Step 1: Find the slope (m) using the formula:    [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 2: Plug in the slope (m) and one of the points (x₁, y₁) into the Point-Slope formula.      y - y₁ = m(x - x₁)

1.    (0, -2) and (3, 0)

Step 1:    [tex]m=\dfrac{-2-0}{0-3}\quad =\dfrac{-2}{-3}\quad =\dfrac{2}{3}[/tex]

Step 2:   [tex]y-0=\dfrac{2}{3}(x-3)[/tex]

                     [tex]y=\dfrac{2}{3}(x-3)[/tex]

                    [tex]\large\boxed{y=\dfrac{2}{3}x-2}[/tex]

2.    (0, -3) and (-4, -5)

Step 1:    [tex]m=\dfrac{-3-(-5)}{0-(-4)}\quad =\dfrac{-3+5}{0+4}\quad =\dfrac{2}{4}\quad =\dfrac{1}{2}[/tex]

Step 2:   [tex]y-(-3)=\dfrac{1}{2}(x-0)[/tex]

                     [tex]y+3=\dfrac{1}{2}x[/tex]

                            [tex]\large\boxed{y=\dfrac{1}{2}x-3}[/tex]

3.    (0, -3) and (-4, -5)

Step 1:    [tex]m=\dfrac{-4-3}{-3-4}\quad =\dfrac{-7}{-7}\quad =1[/tex]

Step 2:   [tex]y-3=1}(x-4)[/tex]

              [tex]y-3=x-4[/tex]

                   [tex]\large\boxed{y=x-1}[/tex]      

A handyman charges $150 plus $25 per hour for house painting. A painter charges $55 per hour. How many hours would a job have to take for both fees to be the same?

Answers

Answer:

The numbefr of hours spent painting each house

Step-by-step explanation:

You know that the cost of painting will include the product of the hourly cost (55 or 25) and the number of hours.

The equations have x multiplied by 55 or 25, so it is reasonable to assume that ...

Answer: Five hours.

150 + (25 x 5) = 275 and 55 x 5 = 275. I hope this helps you out!

An item is regularly priced at $83. It is on sale for 35% off the regular price.

Answers

Answer:

$53.95

Step-by-step explanation:

83*0.65

=53.95

Given the definitions of f(x) and g(x) below, find the value of g(f(-3)).

Answers

Answer:

-11

Step-by-step explanation:

f(x) = 5x + 11

g(x) = x^2 + 4x - 11

g(f(-3)) = ?

f(-3) = 5(-3) + 11

= -15 + 11 = -4

g(f(-3)) = g(-4) = -(4)^2 + 4(-4) - 11

= 16 - 16 - 11 = -11

A function assigns the value of each element of one set to the other specific element of another set. The value of g(f(-3)) is -11.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.


Given f(x)=5x+11 and g(x)=x²+4x-11, therefore, we can write the value of g(f(x)) as,

g(f(x)) = (5x + 11)² + 4(5x + 11) - 11

         = 25x² + 121 + 110x + 20x + 44 - 11

         = 25x² + 130x + 154

Now, substitute the value of x as -3 in the function g(f(x)), therefore, we can write,

g(f(-3)) = 25x² + 130x + 154

          = 25(3)² + 130(-3) + 154

          = 225 - 390 + 154

          = -11

Hence, the value of g(f(-3)) is -11.

Learn more about Function here:

https://brainly.com/question/5245372

#SPJ2

What is the product?
2• [-1 0]

Answers

Answer:

-20

Step-by-step explanation:

Answer: The answer should be [-2 and 0]

Step-by-step explanation: Multiply 2 by each value inside the bracket. 2 times -1 is -2 and 2 times 0 is 0.

HELP HAVING BAD DAY
Find the value of b if the graph of the equation y=−5x+b goes through the G(4, 3) point.

Answers

Answer:

b = 23

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y = -5x + b

G(4, 3)

Step 2: Find y-intercept b

Substitute point: 3 = -5(4) + bMultiply: 3 = -20 + bAdd 20 to both sides: 23 = b

Step 3: Write linear equation

y = -5x + 23

Answer:

The answer is y=-5x+21.5 --- B=21.5

Step-by-step explanation:

Pls Mark Brainliest

Ruben bought 6 comic books for $21dollar , 21. Each comic book was the same price.
what was the price of 1 comic book

Answers

Answer:

3.5 dollars

Step-by-step explanation:

The price of one comic book is 3.5.

I got this by dividing 21 and 6  

Answer:

$3.5

Step-by-step explanation:

21/6=3.5

you are considering applying for a job as a server for a local restaurant you see this graph displayed in some company literature in which ways if any is this graph misleading?
A. The vertical axis does not begin at zero.
B. The vertical scale has unequal intervals.
C. It is misleading both because the vertical axis does not begin at zero and because the vertical scale has unequal intervals.
D. The graph is not misleading.

Answers

Answer:

the answered is c

Step-by-step explanation:

what the answered says its correct and i took the test

Which of the following is an irrational number?*
770
O 9.222...
7/2
O
7100

Answers

Answer:

I guess 09.222....

Step-by-step explanation:

Can someone please help me?

Answers

Answer:

x = 23

Step-by-step explanation:

180 - 42 = 138

138/6 = 23

x = 23

A map shows a section of Interstate 94 that forms a straight line. A family plans to drive 72 miles on Interstate 94 from St Paul, MN to Elk Mound, WI. They drive for 20 miles, and then decide they will stop halfway through their trip to eat. How much farther do they need to drive before they stop for dinner?

Answers

Answer:

16 miles

Step-by-step explanation:

Given that:

Total distance of the trip = 72 miles

They have decided to stop half way their trip i.e. they will stop at a distance [tex]\frac{72}{2} =36[/tex] miles from the starting point.

Also, given that they have already traveled for 20 miles.

To find:

How much farther do they need to drive before they stop for dinner?

Solution:

Distance already covered = 20 miles

Distance to be covered before stopping for dinner = 36 miles

Distance to be covered more = Total distance to be covered before stopping - Distance already covered

[tex]\Rightarrow 36-20 =\bold{16\ miles}[/tex]

-9 ration or irrational

Answers

Answer:

this is rational

Step-by-step explanation:

f(x) = -6x + 4
f (x) = 28

Answers

Answer:

x = - 4

Step-by-step explanation:

Given f(x) = - 6x + 4 and f(x) = 28, then equating

- 6x + 4 = 28 ( subtract 4 from both sides )

- 6x = 24 ( divide both sides by - 6 )

x = - 4

Consider the sequence 8, 6.2 ,4.4 , 2.6 . The function that describes the sequence is f (x) = 9.8 - 1.8x . What is f (5)

Answers

Answer:

0.8

Step-by-step explanation:

f (5) = 9.8 - 1.8(5)

         9.8 - 9 = 0.8

Someone please help me

Answers

Answer:

Yes what is the question I would surely love to help u

Step-by-step explanation:

Sure tell me what is wrong

Which unit is commonly used in both the Metric and the US Systems of Units?
A. hour
B. gallon
C. centimeter
D. kilogram

Answers

Answer:

calculator soup. com

Step-by-step explanation:

go to this site

Answer:

D kilogram to measure length, liquid volume, and mass, just as the U.S. customary system uses feet, quarts, and ounces to measure these.

Select the correct answer.

Answers

Answer:

D. [tex]3\sqrt{22b}[/tex]  

I hope this helps!

PLSS HELP 100 points and brainliest

Answers

Answer:(AB)C=28 12

x=4/8

the last one

4/0

Step-by-step explanation:

Answer:

x=4/8

Step-by-step explanation:

A(b) , Its absolutely the last one. c- (2-1=0) is

9-18 36

{5 -10 16.} .   Please brainliest

Use the table to find the ratio. Enter the ratio as a fraction in simplest form.

Color of socks white black blue brown
Number of socks 6 4 9 5


The ratio of white socks to brown socks is

Answers

Answer:

[tex]white \: socks \: number = 6 \\ brown \: socks \: number = 5 \\ \frac{w \: s \: n}{b \: s \: n} = \frac{6}{5} = 1.2 [/tex]

The ratio of white socks to brown socks is 6:5.

Given that,

The white socks number is 6 and the brown sock number is 5.

Based on the above information, the calculation is as follows:

= 6:5

Learn more: https://brainly.com/question/17429689?referrer=searchResults

0.1 + 0.2x +0.3 + 0.05x = -2.4

Answers

Answer:

x = -11.2

Step-by-step explanation:

0.1 + 0.2x + 0.3 + 0.05x = -2.4

Combine like terms on the left side.

0.25x + 0.4 = -2.4

Subtract 0.4 from both sides.

0.25x = -2.8

Divide both sides by 0.25.

x = -11.2

Someone please help me

Answers

It should be -2/3x+4

Ms. Lincoln has a bucket full of pencils that she would like to divide up equally to her 28 students. If each student got 3 pencils, how many did she start with

Answers

Answer:

84

Step-by-step explanation:

28*3= 84

1.) Graph the function y = x + 1 for the domain of 2,-1,0,1​

Answers

Answer:

(2,3) (-1,0) (0,1) (1,2)

Step-by-step explanation:

ez

Here is some information about the goals scored in some hockey games.

Each game has four quarters.

Goals in hockey games

Number

of goals 5

The mean number of home

goals scored is 2.5

The mean number of away

goals scored is 1.8

How many home and away

games have been played

in total?

3rd

2nd

Quarter

Away goals

Key:

Home goals

Answers

Answer:

48 goals

Step-by-step explanation:

From the attached image, we can see that:

Number of Home Goals = 9 + 6 + 8 + 7

= 30

Number of Away goals = 2 + 7 + 4 + 5

= 18

Total number of goals = 30 + 18

= 48

Which explains how to find the question of the division below


-3 1/3 divided by 4/9

Answers

Answer:

B /second bubble -3 1/3 is 10/3 and 4/9 is a reciprocal 9/4

when subtracting decimals with the same sign you?? what does it mean???

Answers

Answer:

it turns to a positive

Step-by-step explanation:

2 negatives will equal a positive number.

Answer:

It just means that it will be easier for you to subtract them.

Step-by-step explanation:

Because all you have to do is subtract them how you would and just take the decimal and move it down the row and that is it.

3x16-12 divided by 6
Evaluate the Expression

Answers

Answer:

6

Step-by-step explanation:

3x16-12 divided by 6

3 (16) - 12

     6

= 48 - 12

       6

= 6

7w + 6(3w + 9)
Help ASAP

Answers

Answer: 25w+54

Step-by-step explanation:

Distribute:

=7w+(6)(3w)+(6)(9)

=7w+18w+54

Combine Like Terms:

=7w+18w+54

=(7w+18w)+(54)

=25w+54

Answer:

=25w+54

Answer:

25w + 54

Step-by-step explanation:

7w + 6(3w + 9)

7w + 18w + 54

25w + 54

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