The following are the ages (years) of 5 people in a room:
23, 20, 15, 12, 17
A person enters the room.
The mean age of the 6 people is now 19.
What is the age of the person who entered the room?​

Answers

Answer 1

Answer:

multiply 6 by 19 to get the total age of the six people in the room then add the ages of the 5 people in the room and subtract it from the total of the 6 to get your answer

Answer 2

Answer:

27

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

let x be the age of the person entering the room , then

[tex]\frac{23+20+15+12+17+x}{6}[/tex] = 19 ( multiply both sides by 6 )

87 + x = 114 ( subtract 87 from both sides )

x = 27

The age of the person who entered the room is 27


Related Questions

5y + 3y + 5 ≤ ‐2(2y + 4) ( pls show work)

Answers

Answer:

y<-13/12

Step-by-step explanation:

12y<-8-5

12y<-13

A 5m ladder reaches 4.2m up a wall. What angle does the ladder make with the wall

Answers

Answer:

57.14°

Step-by-step explanation:

A 5m ladder reaches 4.2m up a wall. What angle does the ladder make with the wall?

We solve the above question using the Trigonometric function of Sine

= sin theta = Opposite/Hypotenuse

Opposite = Length of the wall = 4.2m

Hypotenuse = Length of the ladder = 5m

Theta = Angle formed = x

Hence,

sin x = 4.2m/5m

x = arc sin(4.2m/5m)

x = arc sin(0.84)

x = 57.140119621°

Approximately = 57.14°

miguel is selling candy bars for a school fundraiser. if all candy bars habe the same cost and 2 candy bars costs $5 complete the ratio

Answers

Answer:

if 2 candies cost $5;

then 1 candy will cost $2.5

therefore, the ratio is 1:2

WHAT IS THISSSSSSSSSSSSS

Answers

Answer:

1 is to 2

Ie

1/2

Step-by-step explanation:

hope it helps

Answer:

2 to 1

which equals 2

Step-by-step explanation:

if you look at point B (2,1) and B’ (4,2)

we can see that each value is multiplied by 2

Ashley purchased a prepaid phone card for $25.75. Calls cost 6 cents a minute using this card. The credit, C (in dollars), left on the card after it is used for x
minutes of calls is given by the following.
C= 25.75 -0.06x

Answers

That would be correct

The area of a trapezoid is 60 square feet the bases of the trapezoid are 8 feet and 12 feet, what is the height?
6ft
4ft
3ft
15ft​

Answers

It is 6 feet. I hope this helps a little.

You are given that 5y = 4x.
Find the value of y when x=10​

Answers

Answer:

y= 8

Step-by-step explanation:

4 x 10 = 40

40 ÷ 5 = 8

Why is this question stumping everyone i meet.

Answers

Answer:

i dont know anything about simplest radical form but this is the length 17.32051

Step-by-step explanation:

can you help me find the slope of these queastions?

Answers

Answer:

1. B

2. A

3. I

4. I

These should be correct

How do I find GD? Giving Brainly

Answers

Answer:

cut it in half, your answer is 11

Answer:

GD: 3.5

Step-by-step explanation:

You said CE is 7, and GD is half the length of CE. So based off of your answer for CE, GD equals 3.5

pls help i need to pass

Answers

Answer:

The answer would be A

Step-by-step explanation:

the answer is A because it shows the correct set of data

Angel uses 1/8 cup of sugar for 1/3 of a recipe. How much sugar is needed if Angel makes the entire recipe twice?

plz tell me the steps

Answers

Answer:

3/4 cups

Step-by-step explanation:

1/8 for 1/3 refipe

1/8 * 3 = 3/8

3/8 for 1 whole recipe

3/8 * 2 = 6/8 = 3/4

3/4 for 2 whole recipes

Plz hurryThe center of circle Q has coordinates Q(6,-4) . If circle Q passes through R(14,2) , what is the length of its diameter?

Answers

Answer:

the diameter is twice the circle radius, or 20

Step-by-step explanation:

Recall that the radius is half the diameter <=> the diameter is twice the radius.  In this problem we need to find the radius first, then multiply it by 2 to obtain the diameter.

We need to determine the distance between the center of the circle Q(6, -4) and the point R(14, 2) on the circle.  

The Pythagorean Theorem applies here.  Going from Q to R, x changes from 6 to 14, or 8 units, which is the horizontal leg of a right triangle, and y changes from -4 to 2, or 6 units.  Thus, according to the Pythagorean Theorem, the length of the hypotenuse of this triangle is

r = √(6² + 8²) = √100 = 10

and so the diameter is twice that, or 20.

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

48 cm

Step-by-step explanation:

6x8 Please   dont  be mad if  im  wrong TT>TT

Mrs. Vargas went to lunch, and the bill was $28 for the meal. How much will the tip be if she wants to leave a 15% tip?


Explain

Answers

Answer:

Step-by-step explanation:

Percent means per one hundred, so to leave a 15% tip

28(15/100)=$4.20

The tip will be $4.20

Directions: Foil the following if the answer is not standard form then standardize it.
Equation: (x+4) (4x−5)

Answers

The answer to your question is 4x^2+11x-20
the answer to your question is
4x^2+11x-20
(the “^2” is the tiny 2 lol)

write the equation of the circle given a center of (1,3) and a point on the circle at (-2,7)

Answers

Answer:

Ecuación estándar de un círculo

(x−2)2+(y−2)2=25

Forma general de la ecuación de un círculo

x2−4x+y2−4y−17=0

Ecuaciones paramétricas de un círculo

x=5cosθ+2y=5sinθ+2

Step-by-step explanation:

Ecuación Estándar de un Círculo

La ecuación estándar de un círculo con el centro en (x_0, y_0) y radio r es

(x^2-x_0) + (y^2-y_0)=r^2

Ecuaciones Paramétricas de un Círculo

Las ecuaciones paramétricas de un círculo con el centro en (x_0, y_0) y radio r son

x=r cos \theta + x_0\\y=r sin \theta + y_0

Ecuación General de un Círculo

La ecuación general de un círculo con el centro en (x_0, y_0) y radio r es

x^2+ax+y^2+by+c=0,

donde

a=-2x_0\\b=-2y_0\\c=x^2_0+y^2_0-r^2

Can someone please solve this it's very important thank you

Answers

So basically you have the equation y=6/x-2 and as it shows you in the example on the bottom of the page, you plug in the X values for X and whatever you get will be the Y on the other side. For example the first one is already done for you so in the second one you take the next X which is -3 and plug it into your equation. Y=6/(-3)-2 and that would reduce to Y=6/-5 and you can either put that for your next answer or convert it into a decimal. (This example is for the second answer in the Y column)

The vertices of a triangle are (-1,3) (6,3) and (-1,-4)
Find the area of the triangle
Please show all workings

Answers

Answer:

24.5 unit²

Step-by-step explanation:

Area of ∆

= ½ | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |

= ½ | (-1)(3 -(-4)) + 6(-4 -3) + (-1)(3 - 3) |

= ½ | -7 - 42 |

= ½ | - 49 |

= ½ (49)

= 24.5 unit²

Method 2:

Let the vertices are A, B and C. Using distance formula:

AB = √(-1-6)² + (3-3)² = 7

BC = √(-6-1)² + (-4-3)² = 7√2

AC = √(-1-(-1))² + (4-(-3))² = 7

Semi-perimeter = (7+7+7√2)/2

= (14+7√2)/2

Using herons formula:

Area = √s(s - a)(s - b)(s - c)

here,

s = semi-perimeter = (14 + 7√2)/2

s - a = S - AB = (14+7√2)/2 - 7 = (7 + √2)/2

s - b = (14+7√2)/2 - 7√2 = (14 - 7√2)/2

s - c = (14+7√2)/2 - 7 = (7 + √2)/2

Hence, on solving for area using herons formula, area = 49/2 = 24.5 unit²

Answer:

24.5

Step-by-step explanation:

To find the area with the coordinates provided:

(-1,3), (6,3), (-1,-4)

First we count the units that are inside the triangle which is area.

[tex]\frac{49}{2}[/tex]

So we know that there are [tex]\frac{49}{2}[/tex] units and then we divide 49 by 2 which gets you 24.5.

49 ÷ 2 = 24.5

The answer is 24.5 units.

Find the measures of the numbered angles in the kite.

Answers

Answer:

1 is 90

2 is 52

Step-by-step explanation:

1 is a right angle so its 90

for 2 angles in a triangle equal to 180

so 180-90-38 is equal to 52

what is 3m < -12 if someone can please answer me

Answers

Answer:

Step-by-step explanation:

3m < - 12

m < - 12/3

m < - 4

Answer: -4

Step-by-step explanation:

3m < -12

3m/3 < -12/3

m = -4

Rank the following in order from most precise to least precise.
1500 grams
8.43 inches
1580 meters
5.426 seconds

Answers

Answer:

1st most = 8.43 inches

2nd most = 5,426 Seconds

3rd most = 1580 meters

4th most = 1500 grams

Step-by-step explanation:

8.43 inches = 0.7025 feet is most precise as it rounded to 0.7 feet it wouldn't be precise enough.

5,426 Seconds =  01:30:26. hrs mins sec can be converted.

1580 meters = 1.58 km = 158000cm  hasn't been properly converted as zeros get lost.

1500 grams = 1.5kg hasn't been precisely converted as zeros get lost.

Show me how to solve step by step please

Answers

Answer:

188

Step-by-step explanation:

88 + 6= 94

94 + 94 = 188

188 divided by 2 = 94

94 - 6 = 88

88 was how much Paula paid

Find the perimeter P of the figure shown. Simplify your answer

Answers

Answer:

C) 26x + 3

Step-by-step explanation:

Perimeter = 7x + 2 + 5x - 3 + 9x + 7 + 5x - 3

combine like terms:

Perimeter = 26x + 3

The circumference of a circular mirror is 31.4 cm. What is the area of the circular mirror in square centimeters? Use pi = 3.14 .

Answers

Answer : AREA OF A CIRCLE = PIR2 ( PI ×R ×R )

N.B = R MEANS RADIUS.

GIVEN THE CIRCUMFERENCE, WE WILL USE THE CIRCUMFERENCE TO FIND THE RADIUS.

FORMULA FOR FINDING RADIUS = CIRCUMFERENCE ÷ 2 × 3.142.

SO THAT IS : 31.4 ÷ 6.284 = 4.9.

ROUND UP : 5.

SO THE RADIUS IS 5. NOW WE CAN FINDING THE AREA. 3.14×5×5 = 78.5 . Say thanks Nique.

Rob has 40 coins, all dimes and quarters, worth $7.60. How many dimes
and how many quarters does he have?
... please solve this using if systems of equations

Answers

seen you with ur ex

Simplify. Keep your answer in exponent form.
:) help

Answers

((-6)³)^6

3×6=18

power=18

(-6)^18

2. What is the domain of the function shown below?
у
A. -1 < x < 6
B. -1 < y = 6
C. -2 < x < 5
D. -1 3y = 6

Answers

Answer:

Option A is the correct answer

Step-by-step explanation:

[tex] - 1 \leqslant x \leqslant 6[/tex]

The domain of the function is -1 ≤ x ≤ 6 or x ∈ [-1, 6] option (A) -1 ≤ x ≤ 6 is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a given a graph of a function in the picture.

As we can see, the at point x = -1 graph starts, and it has dark dot which means function values exist at x = -1.

Similarly, at x = 6 the function value exist.

The domain of the function:

-1 ≤ x ≤ 6

Thus, the domain of the function is -1 ≤ x ≤ 6 or x ∈ [-1, 6] option (A) -1 ≤ x ≤ 6 is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Simplify each answer into a fraction, Please show work as well!

Answers

Answer: 1) 8/15 2) 2 4/9 3) -13/45

Step-by-step explanation:

1/5 + 1/3 = 6/30 + 10/30 = 16/30 = 8/15

2 1/9 + 1/3 = 19/9 + 3/9 = 22/9 = 2 4/9

1/9 - 2/5 = 5/45 - 18/45 = -13/45


9. Bianca is hosting a dinner party for 10 people. The main course's recipe states
that 400 g of sausage and 500 g of dry pasta is enough for four people.
a) How much sausage will she need?
b) How much pasta will she need?​

Answers

Answer:

a) 1000 grams

b) 1250 grams

Step-by-step explanation:

Find out how much grams of sausage and dry pasta she needs for each person.

4 people = 400 g

1 person = 400 ÷ 4 = 100 g (sausage)

4 people = 500 g

1 person = 500 ÷ 4 = 125 g (dry pasta)

Find out how much grams of sausage and dry pasta is needed for 10 people.

10 person = 100 x 10 = 1000g (sausage)

10 person = 125 x 10 = 1250g (dry pasta)

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