The mean age of 5 people in a room is 31 years.
A person enters the room.
The mean age is now 30.
What is the age of the person who entered the room?​

Answers

Answer 1

Answer:

25 year

Step-by-step explanation:

Mean = sum/no. *of observations

Initially, number of people = 5 & let the sum of their ages be S.

=> 31 = S/5

=> 155 = S

When one more entered, number = 6. Let his age be 'a'.

Sum of ages = S + a = 155 + a

=> 30 = (155 + a)/6

=> 180 = 155 + a

=> 25 = a


Related Questions

if socks cost $8.97 for 3 pairs how much does one pair cost?

Answers

Answer:

7

Step-by-step explanation:

Answer:

$2.99

Step-by-step explanation:

$8.97/3 = 2.99

$8.97 divided by 3 equals $2.99

Good Luck!

A pair of shoes is on sale for 30% off. The original price is p. Which expression can be used to find the price of the shoes after the discount? 0.30p 0.70p 1.30p 30p​

Answers

Answer:

0.30p

Step-by-step explanation:

(px30)/100=0.3p

Answer:

0.70 p

Step-by-step explanation:

If the item is 30% off, the new price is 0.7p because we want to know how much 70% of the original price was.

if the diameter of my burger is 5cm,what is the area?​

Answers

Answer:

19.625cm squared because you have to divide the diameter by 2 to get the radius.

Step-by-step explanation:

7a+3b=27
6a+3b=24

Solve in simultaneous

A=
B=

Answers

Answer:

A= 3,B = 2

Hope it helps you

if yes mark me brainliest

Answer:

hence, a = 3

b = 2

Step-by-step explanation:

from the given pair of linear equation we get,

7a + 3b = 27 - ( 1 )

6a + 3b = 24 - ( 2 )

now, subtract equation 2 from equation 1

=》7a + 3b - 6a - 3b = 27 - 24

=》a = 3

now put the value of a in equation 1

=》7a + 3b = 27

=》( 7 × 3 ) + 3b = 27

=》21 + 3b = 27

=》3b = 27 - 21

=》b = 6 ÷ 3

=》b = 2

At Putt Putt, they offer a special for unlimited mini golf. You decide to go golfing with your friends. After golfing and purchasing lots of food, you end up spending $50. In total you leave Putt Putt with $5. Let s represent the amount of money you started with.
Part 1: Write an equation involving s
Part 2: Solve for how much money you brought to Putt Putt.

Answers

Answer:

part 1: a-50=5. a=55

Step-by-step explanation:

because fifty five minus 50 is equal to 5

what is positive slope

Answers

Answer:

A positive slope means that two variables are positively related- that is when x increases, so does y, and when x decreases, y decreases also. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.

Need help with this question

Answers

Answer:

C. x = 3

Step-by-step explanation:

8x - 8 = 2x + 10

get the x on it's own

8x - 8 + 8 = 8x

2x + 10 + 8 = 2x + 18

8x = 2x + 18

8x - 2x = 6x

2x + 18 - 2x = 18

6x = 18

now divide each side by 6

6x / 6 = x

18 / 6 = 3

x = 3

X=3

Explanation

8x-8=2x+10

6x=18

x=3

The histogram below shows cell phone data usage in megabytes (Mb).

Picture

Using the histogram above, which range best describes the values for the mean and the median data usage?


0 – 100 Mb


100 – 200 Mb


200 – 300 Mb


300 – 400 Mb

Answers

Answer:

200 – 300 Mb

Step-by-step explanation:

Becuse 200-300 is in the middle of the graph its a really simple qustion

Katie wants to buy a bicycle that costs $200. This is
$20 more than twice what she saved last month. How
much did she save last month?.
Find the number.

Answers

Step-by-step explanation:

Multiply both the numbers

200 × 20

(4000) Answer

math question
i kind of need this done quicker, however no rush..! :)

x=-2y
x-y=9

Answers

Answer:

(6,-3) or x=6 y= -3

Step-by-step explanation:

Mayson wanted to play his video games. His mother told him that he needed to finish his homework, walk the dog, and clean his room before playing video games. . He completed his homework in 48 minutes. He took 25 minutes to walk the dog. He took 75 minutes to clean his room. . There are 60 minutes in 1 hour. How much time did Mayson have to spend doing homework and cleaning before playing video games?​

Answers

Answer: 2 hours and 28 minutes

Equation: 48+25 = 72+75 = 148 min

Find x of the angles are supplementary 3x-2 and 41 degrees ?

Answers

Answer:

x = 47

Step-by-step explanation:

3x - 2 + 41 = 180 {Supplementary}

3x   + 39 =  180

        3x   = 180 - 39

       3x  = 141

          x = 141/3

x = 47

The sum of two numbers is 38. The larger number is 8 more than the smaller number, What are the numbers?
Larger number:
Smaller number.

Answers

Answer:

Larger number: 23

Smaller number. 15

Step-by-step explanation:

y = x - 8

x + y = 38

substitute for y:

x + x - 8 = 38

2x = 46

x = 23

y = 15

Answer:   Larger number:  23

Smaller number:  15

Step-by-step explanation:

let x be the smaller number, then the larger number would be x+8

x + (x + 8) = 38

2x + 8 = 38

2x  = 30

x = 15

larger number = x + 8 = 15 + 8 = 23

Quadrilateral abcd is rotated 90 degrees clockwise about the origin. What are the coordinates of A'B'C'D?

Answers

Answer:

your answer is A

Step-by-step explanation:

have a nice day!! ^_^

The coordinate of A` is (5,5) , the coordinate of B` is (5,1), the coordinate of C` is (2,1) and the coordinate D` is (1,5).

What is the coordinate of a point?

A pair of number that describes the exact position of a point on  a cartesian plane by using the horizontal and vertical lines is called the coordinate of a point. Coordinates are usually denoted by (x, y).

From the figure we can see that A` is 5 unites right of vertical line and 5 unit upward the horizontal line. So, the coordinate of A` is (5,5).

Similarly, B` is 5 unit right of vertical line and 1 unit upward the horizontal line. So, the coordinate of B` is (5,1).

C` is 2 unit right of vertical line and 1 unit upward the horizontal line. So, the coordinate of C` is (2,1).

And, D` is 1 unit right of vertical line and 5 unit upward of horizontal line. So, the coordinate of D` is (1,5).

Hence the coordinates of A`B`C`D` is (5,5), (5,1), (2,1) and (1,5) respectively.

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AAAAAAAAAAAAAAAAA HELP

Answers

SAME CAN SOMEONE ANSWER IT ASAP WILL MEAN ALOTTTTT

PLEASE ANSWER ASAP!!!!Find


Find f(-2) if f(x) = x^2 + x + 7

Answers

Answer:

9

Step-by-step explanation:

If two angle measurements are 53° and 70,° what must the third angle measurement equal to form a triangle?Please help please?

Answers

Answer:

57 degrees

Step-by-step explanation:

in a triangle the three interior angles always add to 180°

if you add 53 and 70 you get 123

to find the missing angle you would subtract 180 from the two numbers added

180 - 123

so 57 degrees

The coordinates of the point where the lines y= 2x- 3 and
y=5 intersect are?

Answers

Answer:

Step-by-step explanation:

PLEASE HELP
7x-3= -24 what is x and how do you find it?

Answers

Answer:

x = -3

Step-by-step explanation:

7x - 3 = -24 (Given)

7x - 3 + 3 = -24 + 3 (Added 3 on both sides by using the addition property of equality)

7x = -21 (Simplified)

7x/7 = -21/7 (Divided 7 on both sides by using the division property of equality)

x = -3 (Simplified)

Therefore, x = -3.

Answer:

x= -3

Step-by-step explanation:

You do the opposite.

So,

-24 +3

= -21

-21/ 7

= -3

Therefore, the answer is -3

Find the value of each variable in the parallelogram

Answers

Alright.

For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:

3x+2=23

2y-7=9

Solve using GEMDAS/PEMDAS, and you'll get these answers.

3x+2=23

3x=21

x=7

2y-7=9

2y=2

y=1

For 8, you'll want to do the exact same thing, formatting the numbers to equal each other. You'll get these two equations:

3y+5=14

2x-5=17

Solving them would make:

3y+5=14

3y=9

y=3

2x-5=17

2x=22

x=11

For 9, you have to remember that the angle opposite of one angle in a defined parallelogram are congruent. Thus:

130=2h

5k=50

solve them and you get

h=65

k=10

___________________________________________

Hope that helped. Good luck.

Answer:

7.) y=8, x=7

8.) y=3, x=11

9.) h=65, k=10

Step-by-step explanation:

First, let's start with #7. By definition of a parallelogram, we can say that opposite sides are congruent, meaning 2y-7=9 and 3x+2=23.

So, solving these problems-

2y-7=9

2y=16

y=8

3x+2=23

3x=21

x=7

Now, let's move on to #8. For this, a defining property of a parallelogram is that the diagonals bisect each other. So, 3y+5=14 and 2x-5=17.

Let's solve these equations-

3y+5=14

3y=9

y=3

2x-5=17

2x=22

x=11

Now, finally #9. Another defining property of a parallelogram is that opposite angles are congruent. So, 2h=130 and 5k=50.

So, h= 65 and k= 10.

BRAINEST, BEST WILL GET IF EXPLANED WELL

Answers

Answer:

4(x-2) isn't equal to the others because when simplified it is 4x-8

Step-by-step explanation:

DESPERATE WILL GIVE BRAINLIST AND THANKS
Use the data to create a scatter plot.



Weight vs. Stretch Distance
PointMove
UndoRedoReset
Stretch distance (cm)Weight (N)
1
2
3
4
5
6
7
8
9
10
1
2
3
4
5
6
7
8
9
10
0


Stretch distance (cm)

Weight (Newtons)

2.0

1

3.5

2

4.0

2

4.5

3

5.5

5

6.0

6

7.5

8

9.0

9


(plz show the graph picture with the answer)

Answers

Answer: What you must do for this case is to graph each of the ordered pairs that you have in the table to obtain the dispersion chart. Note that in your table you have eight ordered pairs, therefore, your scatter chart must have eight pairs.

Step-by-step explanation:

Use your scratch paper to draw a coordinate plane and plot the following data set: (4,3), (1,2), (9.1), (10,2), (9,10), (1,7),(5,0), and (6,1),
What type of association exists between the data points?

Answers

Answer:

3,)ft

Step-by-step explanationpads: 1 7(.9t

Find the composition of transformations that map ABCD to EHGF. Reflect over the -axis, then translate (x+ ,y+)

Answers

9514 1404 393

Answer:

  (x+ (-4), y+ (-4))

Step-by-step explanation:

After point D is reflected across the y-axis, its coordinates are ...

  D(-1, 2) ⇒ D'(1, 2)

This is the point that gets translated to F(-3, -2). The translation is ...

  F -D' = (-3, -2) -(1, 2) = (-3-1, -2-2) = (-4, -4)

Then the translation rule is ...

  (x, y) ⇒ (x+(-4), y+(-4))

Rewrite the following expression using exponents

1/16

Answers

Answer:

6.25 * 10^-2

Step-by-step explanation:

hmmmmmmmmm

4^-2 is the answer 4 exponent -2

Which is a set of collinear points?

Two lines intersect at point H. One line goes through points L and J. The other line goes through points G, I, and K.
A. G, H, I
B. L, H, I
C. G, H, J
D. G, I, J

Answers

Answer:

Step-by-step explanation:

Abcd

What is the distance between points (-7, 8) and (2, 8)? ​

Answers

Answer:

Exact Form:

2 √ 34

Decimal Form:

11.66190378

The distance between points (-7, 8) and (2, 8) is 9 units.

Formula to calculate distance between two points:

The distance d between two points [tex](x_{1},y_{1}),(x_{2},y_{2})[/tex] is,[tex]d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2} }[/tex]

For given question,

Let [tex](x_{1},y_{1}) = (-7,8),(x_{2},y_{2})=(2,8)[/tex]

Let d be the distance between two points.

Using distance formula,

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}[/tex]

[tex]d=\sqrt{(2-(-7))^{2}+ (8-8)^{2} }[/tex]

[tex]d=\sqrt{(2+7)^{2}+0^{2}[/tex]

[tex]d=\sqrt{9^{2}+0 }[/tex]

[tex]d=9[/tex]  units

Hence, the distance between points (-7, 8) and (2, 8) is 9 units.

Learn more about distance between two points here:

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The figure below shows an upside-down pyramid with a square base.
Which shape does the intersection of the horizontal plane with the pyramid look like?

Answers

Answer:

B

Step-by-step explanation:

A square pyramid is one with a square base. The correct option is B.

What is a square pyramid?

A square pyramid is one with a square base. It is a right square pyramid with C4v symmetry if the top is perpendicular to the centre of the square. It is an equilateral square pyramid if all edge lengths are equal.

The place at which the up-side down pyramid will intersect with the plane will be a square.

Hence, the correct option is B.

The complete question is:

If a vertical plane cuts through a square pyramid down from the vertex, which of the following best describes the shape of the cross-section?

A. Pentagon

B. Square

C. Rectangle

D. Triangle

Learn more about Square Pyramid:

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Olivia is doing her math home work for each problem she use 3/4 sheets of paper how many sheets she use for 20 problem use estimstion

Answers

Answer:

15

Step-by-step explanation

20 multiplied by .75 (.75 represents 3/4 sheet)

What is the value of the expression below when x=10x=10 and y=4y=4?
8x-7y
8x−7y

Answers

Answer:

Step-by-step explanation:

8(10) - 7(4)

8X10 - 7X4

80 - 28

52

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