The following are the ages (years) of 5 people in a room:
14,16,16,13,23
A person enters the room.
The mean age of the 6 people is now 21.
What is the age of the person who entered the room?

Answers

Answer 1

Answer:

44

Step-by-step explanation:

mean = (13+15+12+16+14+X)/6 = 19

70+X=19×6

X=114-70=44


Related Questions

PLEASE HELP!

Which is equivalent to 3+ V12?
A. V15
B. 36
c. 23
D. 313
O E. 513

Answers

Answer:

A

Step-by-step explanation:

since 3 + 12 is 15

the triangles are similar solve for x.

Answers

Answer:

2.5

Step-by-step explanation:

12 -> 6
so the triangle on the left is dilated 2x the triangle on the right

5 -> 2.5

12 ➡️ 6

(12/2 = 6)

5/2 = X

X= 2.5

Solve the system.
2x + y = −3 −2y = 6 + 4x
Write each equation in slope-intercept form.
y =
x +

y =
x +

Answers

Answer:

Step-by-step explanation:

2x+y=-3 Answer = y=−2x−3

-2y=6+4x Answer = y=−2x−3

A social networking site has an estimate 5000 members.This number is expected to increase 80% each month. Which function and graph model the number of members in thousands over time in months?

Answers

Answer:

y = 5(1.8)^x

Step-by-step explanation:

the formula for an exponential equation is y = a(b)^x

the a in this case is the starting number which is 5000

y = 5000(b)^x

the b is the percentage in decimal form

0.8 BUT it is an increase so we add 1

1.8

y = 5000(1.8)^x

because the graph is in thousands we can make 5000 into 5

Answer:It will be your last option

Step-by-step explanation:

In your notebook, set up the following addition using a vertical format and find the sum of the given polynomials. 2mn 4n2 and 5m2 - 7mn 5 m2 5 mn - 4 n2 5 m2 - 14 mn - 4 n2 9 m2 9 mn - 4 n2 5 m2 - 5 mn 4 n2.

Answers

The sum of the polynomial is [tex]\rm 5m^2+4n^2-5mn[/tex].

Given

In your notebook, set up the following addition using a vertical format and find the sum of the given polynomials.

Vertical Format:

Write each polynomial below their like term and then combine it.

First expression: [tex]\rm 2mn+4n^2[/tex]

Second Expression: [tex]\rm 5m^2-7mn[/tex]

Now, we will add vertically. If the variable part of the term is the same then it would be like a term.

By using the vertical format the addition is;

[tex]\rm 2mn+4n^2+0m^2[/tex]

[tex]\rm 5m^2-7mn+0n^2[/tex]

Now, combine their coefficient and write the variable as same.

[tex]\rm -5mn+4n^2+5m^2[/tex]

We can rearrange the term according to options.

[tex]\rm 5m^2+4n^2-5mn[/tex]

Hence, the sum of the polynomial is [tex]\rm 5m^2+4n^2-5mn[/tex].

To know more about Vertical format click the link given below.

https://brainly.com/question/10682697

$350 at 3 1/2% for 3 years
2

Answers

Answer:

The answer is

Step-by-step explanation:

principal = 100× I/R×T

=100×350/7/2×3

help me and you will get 25 points. i want a right answer plz

Answers

Answer:

A. 502

Step-by-step explanation:

First, start by dividing all of the answer choices by 10.

502/10=50.2

220/10=22

150/10=15

60/10=6

Looking at the above quotients, there is only one that is not like the others, and that is 50.2.

So, your answer is A. 502

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

Answer:

502

Step-by-step explanation:

because you divide them and then you got the anser.

2x+8=y if x= 6 then what is the value of y?

Answers

Answer:

20

Step-by-step explanation:

its 20 because 2 times 6 is 12. 12 plus 8 equals 20

Delyth borrows £3450 from a family member who charge her 2% per year simple interest. She pays all the money back in one payment after 1 year 3 months. How much interest does Delyth pay?

Answers

simple interest = principal × rate × time in years

= 3450 × (2/100) × ( 1.25)

= 3450 × 0.02 × 1.25

= 86.25

If Delyth borrowed £3450 for a year and three months at a simple interest rate of 2% per year, she would be responsible for paying interest of £86.25.

What is simple interest?

Simple interest is the amount of interest charged on a specific principal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.

First, we must determine how much interest Delyth would pay if she borrowed £3450 for a year and three months at a simple interest rate of 2% per year.

Since interest is charged annually, we may begin by figuring out the yearly interest rate. The interest rate yearly would be:

2% per year = 0.02 per year

Next, we can calculate the interest owed for 1 year and 3 months. Since there are 12 months in a year, 1 year and 3 months would be 15 months. Therefore, the interest owed would be:

Interest = Principal x Rate x Time

Interest = £3450 x 0.02 x (15/12)

Interest = £86.25

So, Delyth would owe £86.25 in interest for borrowing £3450 at a simple interest rate of 2% per year for 1 year and 3 months.

Learn more bout simple interests here:

https://brainly.com/question/22621039

#SPJ3

4x - 7y + z - 4 how many terms does the following expression have?

Answers

Answer:

4

Step-by-step explanation:

there are three co efficient and three variables

Find the Value of X.

Answers

Answer:

x =6

Step-by-step explanation:

angles opposite of each other in a parallelogram are congruent

∠C and ∠A are opposite from each other and it appears that they are in a parallelogram so we can assume that ∠C = ∠A

∠A = 13x - 25 and ∠C = 9x - 1

Hence 13x - 25 = 9x - 1

13x - 25 = 9x - 1

add 25 to both sides

13x = 9x + 24

subtract 9x from both sides

4x = 24

divide both sides by 4

x = 6

Simplify. Write the expression using only positive exponents. m^−2⋅n^3

Answers

Step-by-step explanation:

n³/m²

remember, x^-n = 1/(x^n)

Andrew researched the depreciation of cars and found that the value of the car he just bought halved every 5 years. Andrew purchased the car for $20,000 and he wants to find how many years it will take for the value of the car to reduce to $15,000. He wrote the equation 20000(5)^t/2=15000, and plans to solve for t. What change(s) should Andrew make to the equation to find the value of t in the above scenario? Use the half-life decay formula, m(t) = m o (1/2)^t/h, to answer the question.
A. t/2 should be replaced with 2t
B. 15000 and 20000 should be interchanged
C. 5 should be replaced with 1/2, and t/2 should be replaced with t/5
D. 5 should be replaced with 1/2, and t/2 should be replaced with 5t

Answers

Answer:

  C. 5 should be replaced with 1/2, and t/2 should be replaced with t/5

Step-by-step explanation:

The problem statement tells you the half-life of the car is 5 years. Using the value h = 5 in the given equation, you have ...

  m(t) = m₀(1/2)^(t/5)

The problem statement tells us the initial value of the car is $20,000, so we have ...

  m₀ = 20000

  m(t) = 20000(1/2)^(t/5)

Since Andrew wants the value of t when m(t) = 15000, his equation would read ...

  15000 =20000(1/2)^(t/5) . . . equation for finding when the value is 15000

__

The equation Andrew proposes to solve is ...

  20000(5)^(t/2) = 15000

In order to make his equation look like the the one above, the changes should be ...

  5 should be replaced with 1/2, and t/2 should be replaced with t/5.

_____

Additional comment

The equation can be solved as follows:

  15000/20000 = (1/2)^(t/5)

  log(3/4) = (t/5)log(1/2) . . . . take the log of both sides, simplify the fraction

  t = 5log(3/4)/log(1/2) . . . . divide by the coefficient of t

  t ≈ 2.08

Andrew's car will have a value of about $15,000 after 2 years and 1 month.

A small telescope magnifies
objects 150 times. A large
observatory telescope
magnifies an object 3,300
times. How many times as
great is the magnification of
the observatory telescope
than the small telescope?

Answers

The observatory telescope has 22 times the magnifying power compared to the small telescope.

Data;

small telescope = 150 timeslarge telescope = 3300

Division of Numbers

To solve this question, we have to divide the large telescope by the small telescope to calculate it's magnifying power.

[tex]x = \frac{3300}{150}=22[/tex]

The magnification of the observatory telescope is 22 times greater or larger than the small telescope.

Learn more on division of numbers here;

https://brainly.com/question/7068223


From a plane flying due east at 265m above above sea level, the angle of depression from the plane to a ship is 25 degrees. How far is the plane from the ship? Round to the nearest tenth of a foot.

Answers

627.0m the process is shown in the following picture.

are you able to rewrite the term 33 as a product of 11 and another factor? i would really love it for you to reply back as soon as possible because my grades are on the line

Answers

Answer:

Product of 11 and 3

Step-by-step explanation:

11 times 3 = 33.
11 is a factor of this and the other factor that is needed, is 3. The result is 33, which fits.

I hope this helped and please mark me as brainliest!

Name a decimal between 3.14 and 3.15
I ALREADY GOT THE ANSWERS
BUT I WANT TO KNOW HOW TO GET THEM
(please explain it to me in a simple and detailed way)

Answers

Answer:

3.141

Step-by-step explanation:

To find a decimal between 3.14 and 3.15, we have to look at the ten-thousandths place. 3.14 becomes 3.140 and 3.15 becomes 3.150. The 3.1 at the front is the same, so we keep it. Look at the 40 and 50. Name a number between those two. For example, 41. Put that number behind the 3.1 to get the final answer. In my example, the answer was 3.141.

I hope this helped and please mark me as brainliest!

Find the GCF of the numbers using lists of factors. 1. 8,36. 2. 18,72. 3. 14, 28, 49​

Answers

Answer:

The GCF of 8 and 36 is 4.

The GCF of 72 and 18 is 18.

The GCF of 14, 28, and 49 is 7.

Step-by-step explanation:

[tex]3(4x-5)-4x+1=-6[/tex]

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Expand the brackets by multiplying each term in the bracket by the expression outside the bracket:

    [tex]3(4x-5)-4x+1=-6[/tex]

⇒  [tex]12x-15-4x+1=-6[/tex]

Gather like terms and combine:

⇒  [tex]12x-4x+1-15=-6[/tex]

⇒  [tex]8x-14=-6[/tex]

Add 14 to each side of the equation:

⇒  [tex]8x-14+14=-6+14[/tex]

⇒  [tex]8x=8[/tex]

Divide both sides by 8:

 ⇒  [tex]8x \div8=8\div8[/tex]

⇒  [tex]x=1[/tex]

Given that : 3(4x-5)-4x+1 = -6

12x-15-4x+1 = -6

(12x-4x)+(1-15) = -6

⇒ 8x+ −14 = −6

8x = -6+14

⇒ 8x = 8

x = 8÷8

x = 1

So, value of x is 1

~ Benjemin360

Help me solve this pls

Answers

Answer:

44 + 47

= (41 + 3) + 47

= 41 + (3 + 47)

= 41 + 50

= 91

Step-by-step explanation:

So, essentially what is happening is you are making the 47 a 50 so it is easier to add.

What is
2 1/4 cups converted to pints

Answers

Answer:

1.125 0r 2.25

Step-by-step explanation:

the first is liquid and the second is cups

I do believe i need help.

Answers

Answer:

the answer is d

Step-by-step explanation:

you are working with negatives so if you multiply negatives you switch the symbol around

the answer is D , x < 8

10 pts
Find the missing variables in the parallelogram below.
16
Vy - 60)
560
3x+ 4
X-
y =

Answers

y= 116

x=4
lmk if im mistaken

y=- 2x + 8
7x - 6y=-8
Substitution

Answers

Answer:

y=8

Step-by-step explanation:

find the 13th term of the geometric sequence 3,-15,75

Answers

Answer: 13th term is 731,421,875

Step-by-step explanation:
a(n) = nth term
a1 = first term
r = common ratio

1. a(n) = a1(r)^n-1

2. a(13)= 3(5)^13-1

3. a(13) = 3(5)^12

4. a(13) = 732,421,875

I REALLY NEED HELP!!

Answers

Answer:

A,B

Step-by-step explanation:

Hope this helps

Name the angle in four ways. Then classify the angle as acute,right,obtuse, or straight.

Ignore the words.

Answers

Answer:

The given angle is obtuse angle.

Answer:

This is an obtuse angle...

A customer purchased 9 avocados at the same price each. The customer had $46 to spend on groceries. After purchasing the avocados, the customer was left with $27.19. How much did each avocado cost?

Answers

Answer:

each avocado cost = $2.09

Step-by-step explanation:

He spent : $46 - $27.19 = $18.81

so lets the cost of each be x

9 * x   = $18.81

x = $18.81 / 9

x = $2.09

half the sum of 5 and a number b algebraic expression​

Answers

Answer:

the answer to this is 1/2(5+b)

It costs 19 dollars for 3 t-shirts. W hat is the cost of 4 t-shirts

Answers

Answer:

4 shirts will cost about 25.32

Step-by-step explanation:

First, You can divide 19/3 and this will give you 6.33 repeating.

Next, you will assume that one shirt would cost $6.33.

Finally, Multiply by 4 to get the amount of four shirts.  

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