The following are the ages (years) of 5 people in a room:
17, 21, 15, 15, 25
A person enters the room.
The mean age of the 6 people is now 25.
What is the age of the person who entered the room?

Answers

Answer 1

Answer:

57 years

Step-by-step explanation:

The mean of a set of numbers is given as the ratio of the sum of the numbers to the number of numbers in the given data set.

Hence given that the age of 5 people are 17, 21, 15, 15, 25 and a 6th person joins the set, making the mean age 25, let the age of the new person that joined be x then

25 = (x + 17 + 21 + 15 + 15 + 25)/6

25 = (x + 93)/6

Multiply both sides by 6

150 = x + 93

subtract 93 from both sides

x = 150 - 93

x = 57 years

The age of the person who entered the room is 57 years


Related Questions

PLEASE HELP

What is 2/3 of 15% of $2,000?
F. $100
G. $200
H. $300
J. $450
K. $500

Answers

Answer:

$200 dollars my friend.

Step-by-step explanation:

Hope I helped!

The solution is Option G.

The value of the equation A = ( 2/3 ) x 15% x $ 2000 = $ 200

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 equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( 2/3 ) x 15% x 2000   be equation (1)

On simplifying the equation , we get

A = ( 2/3 ) x ( 15/100 ) x 2000

A = ( 2/3 ) x ( 15 ) x ( 20 )

On further simplification , we get

A = ( 2/3 ) x 300

A = 2 x 100

A = $ 200

Therefore , the value of A is $ 200

Hence , the equation is A = $ 200

To learn more about equations click :

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How much pure water must be mixed with 10 liters of a 25% acud solution to reduce it to a 10% acid solution

Answers

Answer:

15 liters of pure water must be added

Jane spends about 1/6 of the day sleeping. How many hours in a day does Jane sleep? How many hours in a week?

Answers

Answer:

Jane spend 4 hours in a day sleeping, and 28 hours in a week.

Step-by-step explanation:

In 1 day, there are 24 hours. 24 multiplied by 1/6 is 4. I know this because 24 x 1/6 = 24/1 x 1/6 = 24/6 = 4/1 = 4.

In 1 week, there are 168 hours. 1/6 multiplied by 168 is 28. I know this because 168 x 1/6 = 168/1 x 1/6 = 168/6 = 28/1 = 28

I would appreciate brainliest.

Problem ID: PRABESEJ ​

Answers

Answer:

??

Step-by-step explanation:

what is the domain of this function? 
x
2
5
8
11
14
17
20
y
1
3
7
13
21
31
43
answer soon please ty!!!

Answers

Answer:

no real numbers

Step-by-step explanation:

The ratio of ducks to geese in a pond is 3 : 5. There are 27 ducks.
How many geese are there?

Answers

Answer:

D:G-------> 3:5

27/3=9

9 x 5= 45

45 geese

Im stuck on this question i need help

Answers

Answer: 1/4 and thats 25%

Write the slope-intercept form of the equation of the line through the point: (3,2) and slope =2

Answers

Answer:

y=2x-4

Step-by-step explanation:

Find the difference: 5.68 -
- 2.15 - (-1.34) = *

Answers

Answer:

THE ANSWER FOR THIS QUESTION IS 9.17

the answer to this question is: 4.87

Help plz:):):):):)):):):):):)

Answers

Answer:

The answer is 60%

Step-by-step explanation:

12+8 = 20

12/20 = 0.6

Here are the ingredients needed to make 20 cookies.
Cookies
Ingredients to make 20 cookies.
250 g butter
120 g caster sugar
300 g flour
Sam is going to make some cookies.
She has these ingredients.
625 g butter 360 g caster sugar 1000 g flour
Work out the greatest number of cookies that Sam can make with her ingredients.
You must show your working.

Answers

Answer:

50

Step-by-step explanation:

because 250 g = 20 cookies

500g = 40 cookies

625 = 50 cookies

120 g = 20 cookies

240 g = 40 cookies

360 g = 60 cookies

but you only able to make 50 from butter so the answer is 50

Which expression shows 18 + 15 written as a product of two factors?
3(6+5)
6(3+5)
3(9+5)
6(3+2)

Pls help

Answers

The expression that shows 18 + 15 as a product of two factors is 3(6 + 5)

How to rewrite the expression as a product?

The expression is given as:

18 + 15

Factor out 3 from the expression

18 + 15 = 3 * (6 + 5)

Hence, the expression that shows 18 + 15 as a product of two factors is 3(6 + 5)

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Given: x + 2 < -5.
Choose the solution set.
{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}

Answers

Answer:

the third one

Step-by-step explanation:

x+2<-5

x<-5-2

x<-7

ANWSER: X | x R, x -7

Step by step explanation;

x+2<-5

Subtract 2 from both sides

X+2-2 < -5 -2

Simplify

X < -7

I’m pretty sure

Can anyone help me please

Answers

Answer:

y less than or equal to 2x+1

Step-by-step explanation:

Move the slope to the other side and cancel the 4 on the y to get only y. Whatever you do on one side you must do on the other.

Answer:

y≤2x+1

Step-by-step explanation:

slope intercept form= y=mx+b

-8x+4y<=4

-8x+4y≤4

Add 8x to both sides

4y≤8x+4

Divide both sides by 4.

y≤2x+1

This is 100% correct ask me if you have more questions hope this helps.

plz help me ..!!!!!!​

Answers

answer should be G) (2,4,6,8)

What cell generates energy for all the other cells (it’s for science but it doesn’t show science as a subject so yes)

Answers

lol, that would be biology

but I'd say its the mitochondria

There are 45 female performers in a dance recital. The ratio of men to women is 7:9. How many men are in the dance recital? There are _____ men in the dance recital.

Answers

Answer:

35 men

Step-by-step explanation:

To solve, you can divide 45/9 which you get 5. After you get 5, multiply that by 7 and you get 35. Hope this helps

please explain how to get the answer to this. ​

Answers

Answer:

65°

Step-by-step explanation:

They are corresponding angles if M and N are parallel

Answer:

m∠b = 65°

Step-by-step explanation:

∠b and the 65° angle are known as corresponding angles meaning they are equivalent. Therefore, m∠b is 65°.

In an effort to save money, Zoe decides to cut back on the number of meals she eats at restaurants each month. She tracks the
number of meals she eats out each month for a year. The data is recorded in the dot plot below.
O
1
2
3
4
5 6 7 8 9 10 11 12 13 14 15
Number of Meals
Which statement about the data is true?
0
The data is skewed left with an outlier.
a
The data is skewed left with no outlier.
The data is skewed right with an outlier.
The data is skewed right with no outlier.

Answers

Answer:

The data is skewed left with an outlier.

Explanation:

Skewness occurs when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the entries lie to the right, so the data set is skewed left.

are behind on your classes?

Answers

yes. how'd you knowwww?

Answer:

no

Step-by-step explanation:

Brady needs to cut a piece of scrapbook paper
12 centimeters long. He cuts pieces of the following
lengths. Which cut results in a percent error of 15%?
Select all that apply.

Answers

It is 10.2 centimeters so option A :)

Answer:

Option A and Option C

Step-by-step explanation:

If we know that we have to cut a peice of paper 12 centemiters long, that means a 15% error would be cutting out one of the following lengths....

12 - 12(0.15) = 10.2 cm

or

12 + 12(0.15) = 13.8cm

So from this, we see that the answers are Option A and Option C  

Candice leaves on a trip driving at 25 miles per hour. Four hours later, her sister Liz starts from the same location driving at 50 miles per hour. How long after Liz leaves home will she catch up to Candice?


9 hours

4 hours

7 hours

8 hours

Answers

Answer:

The time that Liz will take to catch up with Candice after Liz starts is:

4 hours.

Step-by-step explanation:

We're gonna use the formula:

Distance = Speed * Time

And we'll give a variable for each driven distance:

C= Candice's driven distance. L= Liz's driven distance.

Now, Liz begins when four hours had passed, then, from the beginning of this exercise Candice's distance is:

25 miles / hour * 4 hours = 100 miles

Candice had a 100 miles lead when Liz started, so, the distances 1 hour after Liz began were:

C= 25 miles / hour * 1 hour + 100 miles = 125 miles. L= 50 miles / hour * 1 hour = 50 miles.

When two hours have passed:

C= 25 miles / hour * 2 hour + 100 miles = 150 miles. L= 50 miles / hour * 2 hour = 100 miles.

When three hours have passed:

C= 25 miles / hour * 3 hour + 100 miles = 175 miles. L= 50 miles / hour * 3 hour = 150 miles.

And, when four hours have passed:

C= 25 miles / hour * 4 hour + 100 miles = 200 miles. L= 50 miles / hour * 4 hour = 200 miles.

Then, Liz will catch up with Candice 4 hours after she leaves because after that time the distance traveled is the same for them.

Jenna wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet. She right and solve the equation

Answers

Answer:

I mean I don't fully understand this bc the question doesn't fully make sense but she should use 15.5 feet of fencing on each side. Hope that helps

Step-by-step explanation:

Can somebody please help me with this pleaseee

Answers

Answer: -2, 2

Step-by-step explanation:

0 = 5x^2 -20

0 = 5(x^2 -4)

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

0 = x - 2

2 = x

0 = x + 2

-2 = x

A cell phone plan charges $39.95 a month plus 15 cents per text message sent and 15 cents per text message received. Using s to represent the number of text messages sent in one month and r to represent the number of text messages received in one month, the following equation can be used to calculate the total monthly cost, c:c = 39.95 + 0.15(s + r)If it is known that the total monthly cost is $53.45 and 63 text messages were received, solve for s, the total number of text messages sent.

Answers

Answer:

I think 15 times t

Step-by-step explanation:

how does energy from the sun travel to earth ?​

Answers

Answer:

the heat.. energy is heat and when its hot outside thats the energy from the sun

1 What is the RANGE for the following graph?

25 POINTS PLS HELP

Answers

Answer:

1 ≤ x ≤ 5

Step-by-step explanation:

how many minutes of practice does one picture represent
I-ready
I REALLY NEED HELP i will give you brainlyiest plsss help

Answers

Answer:

where is the picture i can answer it if u put the picture

Step-by-step explanation:

Can u add a image? I can't help if I can't see the question.

How many solutions does the following equation have ?
- 32 +9 – 2x = -12 – 5x
Choose 1 answer:
No solutions
B
Exactly one solution
С
Infinitely many solutions

Answers

Answer:Exactly one solution.

Step-by-step explanation:

- 32 +9 – 2x = -12 – 5x

1.Add numbers

-23 - 2x= -12-5x

2.Rearrange terms

-2x - 23 = -12 - 5x

3. Rearrange terms

-2x - 23 = -5x-12

4. Add 23 to both sides of the equation

-2x-23+23= -5x-12+23

5.Simplify

-2x= -5x+11

6.Add 5x to both sides of the equation

-2x+5x=-5x+11+5x

7.Simplify

3x=11

8.Divide both sides of the equation by the same factor

[tex]\frac{3x}{3}[/tex] = [tex]\frac{11}{3}[/tex]

9.Simplify and Solution

x= [tex]\frac{11}{3}[/tex]

A farmer sold 54 pumpkins the first weekend of a fall festival and 42 pumpkins the second weekend

Answers

Answer:

12 diffence

Step-by-step explanation:

Answer: he sold 96 in total

Step-by-step explanation:

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